UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 10-Q

☒ QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

For the period ended June 30, ~~2022~~2023

☐ TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

For the transition period from to

Commission file number 1-8993

WHITE MOUNTAINS INSURANCE GROUP, LTD.

(Exact name of Registrant as specified in its charter)


Bermuda
(State or other jurisdiction of incorporation or organization)						94-2708455
23 South Main Street, Suite 3B						(I.R.S. Employer Identification No.)
Hanover,						03755-2053
New Hampshire						(Zip Code)
(Address of principal executive offices)

Registrant’s telephone number, including area code: (603) 640-2200

Securities registered pursuant to Section 12(b) of the Act:

Title of each class

Trading Symbol(s)

Name of each exchange on which registered

Common Shares, par value $1.00 per share

WTM

New York Stock Exchange

~~per share~~

WTM.BH

Bermuda Stock Exchange

Indicate by check mark whether the Registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months (or for such shorter period that the Registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days. Yes ý No ☐

Indicate by check mark whether the Registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the Registrant was required to submit such files). Yes ý No ☐

Indicate by check mark whether the Registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer”, “smaller reporting company” and “emerging growth company” in Rule 12b-2 of the Exchange Act.

Large accelerated filer

Accelerated filer

☐

Non-accelerated filer

☐

Smaller reporting company

☐

Emerging growth company

☐

If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o

Indicate by check mark whether the Registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes ☐ No ý

As of August ~~4, 2022, 2,906,994~~3, 2023, 2,560,452 common shares with a par value of $1.00 per share were outstanding (which includes ~~38,350~~37,595 restricted common shares that were not vested at such date).

WHITE MOUNTAINS INSURANCE GROUP, LTD.

Table of Contents


		Page No.

PART I.	FINANCIAL INFORMATION

Item 1.	Financial Statements (Unaudited)

	Consolidated Balance Sheets, June 30, 2023~~, 2022~~ and December 31, ~~202~~12022	1

	Consolidated Statements of Operations and Comprehensive Income,
	Three and Six Months Ended June 30, ~~2022~~2023 and ~~2021~~2022	3

	Consolidated Statements of Changes in Equity,	6
	Three and Six Months Ended June 30, ~~2022~~2023 and ~~2021~~2022

	Consolidated Statements of Cash Flows, Six Months Ended June 30, 202330 ~~, 2022~~ and ~~202~~12022	8

	Notes to Consolidated Financial Statements	9

Item 2.	Management’s Discussion and Analysis of Financial Condition and Results of Operations	4846

	Results of Operations for the Three and Six Months Ended June 30, 2023 and ~~SixMonths Ended~~ ~~June~~ 30 , 2022 ~~and 202~~1	4846

	Liquidity and Capital Resources	7069

	Non-GAAP Financial Measures	7572

	Critical Accounting Estimates	7774

	Forward-Looking Statements	7874

Item 3.	Quantitative and Qualitative Disclosures About Market Risk	7875

Item 4.	Controls and Procedures	7975

PART II.	OTHER INFORMATION	7975

Items 1 through 6.		7975

SIGNATURES		8076

Part I.FINANCIAL INFORMATION.

Item 1.Financial Statements

WHITE MOUNTAINS INSURANCE GROUP, LTD.

CONSOLIDATED BALANCE SHEETS

(Unaudited)


		June 30, 2022			December 31, 2021			June 30, 2023		December 31, 2022
Millions, except share and per share amounts	Millions, except share and per share amounts			Millions, except share and per share amounts
Assets	Assets								Assets
Financial Guarantee (HG Global/BAM)	Financial Guarantee (HG Global/BAM)						Financial Guarantee (HG Global/BAM)
Fixed maturity investments, at fair value	Fixed maturity investments, at fair value	$	884.4		$	934.1	Fixed maturity investments, at fair value	$	932.9	$	909.9
Short-term investments, at fair value	Short-term investments, at fair value	55.3			32.4		Short-term investments, at fair value	67.5		65.9
Total investments	Total investments	939.7			966.5		Total investments	1,000.4		975.8
Cash	Cash	21.6			19.8		Cash	2.9		18.2
Insurance premiums receivable	Insurance premiums receivable	6.9			6.9		Insurance premiums receivable	6.4		6.6
Deferred acquisition costs	Deferred acquisition costs	33.9			33.1		Deferred acquisition costs	37.4		36.0

Other assets	Other assets	19.7			18.5		Other assets	25.3		21.9
Total Financial Guarantee assets	Total Financial Guarantee assets	1,021.8			1,044.8		Total Financial Guarantee assets	1,072.4		1,058.5
P&C Insurance and Reinsurance (Ark)
P&C Insurance and Reinsurance (Ark/WM Outrigger)							P&C Insurance and Reinsurance (Ark/WM Outrigger)
Fixed maturity investments, at fair value	Fixed maturity investments, at fair value	739.3			688.6		Fixed maturity investments, at fair value	755.8		772.8
Common equity securities, at fair value	Common equity securities, at fair value	278.6			251.1		Common equity securities, at fair value	382.6		334.6
Short-term investments, at fair value	Short-term investments, at fair value	101.2			296.2		Short-term investments, at fair value	640.3		484.6
Other long-term investments	Other long-term investments	330.0			326.2		Other long-term investments	410.7		373.6
Total investments	Total investments	1,449.1			1,562.1		Total investments	2,189.4		1,965.6
Cash	Cash	214.6			67.8		Cash	101.7		101.5
Reinsurance recoverables	Reinsurance recoverables	398.7			448.4		Reinsurance recoverables	669.7		595.3
Insurance premiums receivable	Insurance premiums receivable	894.8			416.0		Insurance premiums receivable	1,077.2		544.1
Ceded unearned premiums		105.4			67.1
Deferred acquisition costs and value of in-force business acquired		192.4			108.2

Deferred acquisition costs							Deferred acquisition costs	232.1		127.2

Goodwill and other intangible assets	Goodwill and other intangible assets	292.5			292.5		Goodwill and other intangible assets	292.5		292.5
Other assets	Other assets	67.9			64.9		Other assets	69.4		65.2
Total P&C Insurance and Reinsurance assets	Total P&C Insurance and Reinsurance assets	3,615.4			3,027.0		Total P&C Insurance and Reinsurance assets	4,632.0		3,691.4
Asset Management (Kudu)	Asset Management (Kudu)						Asset Management (Kudu)

Short-term investments, at fair value							Short-term investments, at fair value	4.1		—
Other long-term investments	Other long-term investments	727.0			669.5		Other long-term investments	737.1		695.9

Cash (restricted $7.3 and $4.5)		124.1			21.4
Total investments							Total investments	741.2		695.9
Cash (restricted $13.4 and $12.2)							Cash (restricted $13.4 and $12.2)	25.0		101.4
Accrued investment income	Accrued investment income	11.2			16.9		Accrued investment income	13.1		12.4
Goodwill and other intangible assets	Goodwill and other intangible assets	8.7			8.9		Goodwill and other intangible assets	8.4		8.6
Other assets	Other assets	10.4			10.4		Other assets	10.0		7.6
Total Asset Management assets	Total Asset Management assets	881.4			727.1		Total Asset Management assets	797.7		825.9

Other Operations	Other Operations						Other Operations
Fixed maturity investments, at fair value	Fixed maturity investments, at fair value	243.0			286.2		Fixed maturity investments, at fair value	252.0		238.2
Common equity securities, at fair value							Common equity securities, at fair value	272.5		333.8
Investment in MediaAlpha, at fair value							Investment in MediaAlpha, at fair value	235.7		168.6
Short-term investments, at fair value	Short-term investments, at fair value	88.6			129.5		Short-term investments, at fair value	274.2		373.6

Investment in MediaAlpha, at fair value		166.9			261.6
Other long-term investments	Other long-term investments	411.7			382.1		Other long-term investments	667.2		418.5
Total investments	Total investments	910.2			1,059.4		Total investments	1,701.6		1,532.7
Cash	Cash	23.1			38.7		Cash	24.9		33.9

Goodwill and other intangible assets	Goodwill and other intangible assets	96.8			39.1		Goodwill and other intangible assets	72.7		91.3
Other assets	Other assets	114.4			59.5		Other assets	75.0		155.6
Assets held for sale - NSM Group		997.8			989.0
Assets held for sale - Other		—			16.1

Total Other Operations assets	Total Other Operations assets	2,142.3			2,201.8		Total Other Operations assets	1,874.2		1,813.5
Total assets	Total assets	$	7,660.9		$	7,000.7	Total assets	$	8,376.3	$	7,389.3

See Notes to Consolidated Financial Statements

CONSOLIDATED BALANCE SHEETS (CONTINUED)

(Unaudited)


		June 30, 2022			December 31, 2021			June 30, 2023		December 31, 2022
Millions, except share and per share amounts	Millions, except share and per share amounts			Millions, except share and per share amounts
Liabilities	Liabilities								Liabilities
Financial Guarantee (HG Global/BAM)	Financial Guarantee (HG Global/BAM)						Financial Guarantee (HG Global/BAM)
Unearned insurance premiums	Unearned insurance premiums	$	274.0		$	266.3	Unearned insurance premiums	$	303.7	$	298.3
Debt	Debt	146.3			—		Debt	146.7		146.5
Accrued incentive compensation	Accrued incentive compensation	16.5			24.7		Accrued incentive compensation	14.7		28.0

Other liabilities	Other liabilities	32.7			30.9		Other liabilities	34.6		29.0
Total Financial Guarantee liabilities	Total Financial Guarantee liabilities	469.5			321.9		Total Financial Guarantee liabilities	499.7		501.8
P&C Insurance and Reinsurance (Ark)
P&C Insurance and Reinsurance (Ark/WM Outrigger)							P&C Insurance and Reinsurance (Ark/WM Outrigger)
Loss and loss adjustment expense reserves	Loss and loss adjustment expense reserves	1,022.1			894.7		Loss and loss adjustment expense reserves	1,421.0		1,296.5
Unearned insurance premiums	Unearned insurance premiums	1,020.6			495.9		Unearned insurance premiums	1,376.5		623.2
Debt	Debt	183.5			185.9		Debt	185.1		183.7
Reinsurance payable	Reinsurance payable	418.8			424.1		Reinsurance payable	247.0		251.1
Contingent consideration	Contingent consideration	30.2			28.0		Contingent consideration	45.1		45.3

Other liabilities	Other liabilities	105.1			93.8		Other liabilities	116.6		122.3
Total P&C Insurance and Reinsurance liabilities	Total P&C Insurance and Reinsurance liabilities	2,780.3			2,122.4		Total P&C Insurance and Reinsurance liabilities	3,391.3		2,522.1

Asset Management (Kudu)	Asset Management (Kudu)						Asset Management (Kudu)

Debt	Debt	253.3			218.2		Debt	203.7		208.3

Other liabilities	Other liabilities	45.3			42.8		Other liabilities	51.0		65.0
Total Asset Management liabilities	Total Asset Management liabilities	298.6			261.0		Total Asset Management liabilities	254.7		273.3

Other Operations	Other Operations						Other Operations
Debt	Debt	35.0			16.8		Debt	30.6		36.7

Accrued incentive compensation	Accrued incentive compensation	51.1			48.5		Accrued incentive compensation	51.0		86.1

Other liabilities	Other liabilities	30.0			30.1		Other liabilities	23.1		34.3

Liabilities held for sale - NSM Group		504.4			495.3

Total Other Operations liabilities	Total Other Operations liabilities	620.5			590.7		Total Other Operations liabilities	104.7		157.1
Total liabilities	Total liabilities	4,168.9			3,296.0		Total liabilities	4,250.4		3,454.3
Equity	Equity						Equity
White Mountains’s common shareholders’ equity	White Mountains’s common shareholders’ equity						White Mountains’s common shareholders’ equity
White Mountains’s common shares at $1 par value per share—authorized 50,000,000 shares; issued and outstanding 2,942,877 and 3,017,772 shares		2.9			3.0
White Mountains’s common shares at $1 par value per share—authorized 50,000,000 shares; issued and outstanding 2,560,452 and 2,572,156 shares							White Mountains’s common shares at $1 par value per share—authorized 50,000,000 shares; issued and outstanding 2,560,452 and 2,572,156 shares	2.6		2.6
Paid-in surplus	Paid-in surplus	600.3			585.9		Paid-in surplus	540.6		536.0
Retained earnings	Retained earnings	2,725.1			2,957.5		Retained earnings	3,380.7		3,211.8
Accumulated other comprehensive income (loss), after-tax:	Accumulated other comprehensive income (loss), after-tax:						Accumulated other comprehensive income (loss), after-tax:
Net unrealized gains (losses) from foreign currency translation and interest rate swap	Net unrealized gains (losses) from foreign currency translation and interest rate swap	(5.0)			1.7		Net unrealized gains (losses) from foreign currency translation and interest rate swap	(1.7)		(3.5)

Total White Mountains’s common shareholders’ equity	Total White Mountains’s common shareholders’ equity	3,323.3			3,548.1		Total White Mountains’s common shareholders’ equity	3,922.2		3,746.9
Non-controlling interests		168.7			156.6
Noncontrolling interests							Noncontrolling interests	203.7		188.1
Total equity	Total equity	3,492.0			3,704.7		Total equity	4,125.9		3,935.0
Total liabilities and equity	Total liabilities and equity	$	7,660.9		$	7,000.7	Total liabilities and equity	$	8,376.3	$	7,389.3

See Notes to Consolidated Financial Statements

WHITE MOUNTAINS INSURANCE GROUP, LTD.

CONSOLIDATED STATEMENTS OF OPERATIONS

(Unaudited)


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Revenues:	Revenues:									Revenues:
Financial Guarantee (HG Global/BAM)	Financial Guarantee (HG Global/BAM)									Financial Guarantee (HG Global/BAM)
Earned insurance premiums	Earned insurance premiums	$	10.5	$	6.5	$	18.9	$	12.9	Earned insurance premiums	$	7.7	$	10.5	$	15.4	$	18.9
Net investment income	Net investment income	4.8		4.3		9.4		8.8		Net investment income	7.6		4.8		14.8		9.4
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(30.1)		6.3		(75.2)		(11.6)		Net realized and unrealized investment gains (losses)	(9.9)		(30.1)		7.1		(75.2)
Other revenues	Other revenues	1.6		.3		2.4		.6		Other revenues	.5		1.6		1.3		2.4
Total Financial Guarantee revenues	Total Financial Guarantee revenues	(13.2)		17.4		(44.5)		10.7		Total Financial Guarantee revenues	5.9		(13.2)		38.6		(44.5)

P&C Insurance and Reinsurance (Ark)
P&C Insurance and Reinsurance (Ark/WM Outrigger)										P&C Insurance and Reinsurance (Ark/WM Outrigger)
Earned insurance premiums	Earned insurance premiums	217.3		117.8		411.7		$	222.4	Earned insurance premiums	293.3		217.3		548.4		411.7
Net investment income	Net investment income	3.2		.4		4.8		1.2		Net investment income	13.7		3.2		24.3		4.8
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(44.6)		8.9		(62.1)		10.0		Net realized and unrealized investment gains (losses)	18.0		(44.6)		42.5		(62.1)
Other revenues	Other revenues	6.3		3.4		3.5		6.0		Other revenues	(2.0)		6.3		(4.7)		3.5
Total P&C Insurance and Reinsurance revenues	Total P&C Insurance and Reinsurance revenues	182.2		130.5		357.9		239.6		Total P&C Insurance and Reinsurance revenues	323.0		182.2		610.5		357.9

Asset Management (Kudu)	Asset Management (Kudu)									Asset Management (Kudu)
Net investment income	Net investment income	13.8		8.4		26.4		16.6		Net investment income	14.7		13.8		28.9		26.4
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(17.6)		27.8		4.7		43.6		Net realized and unrealized investment gains (losses)	4.6		(17.6)		34.2		4.7
Other revenues		—		—		—		.1

Total Asset Management revenues	Total Asset Management revenues	(3.8)		36.2		31.1		60.3		Total Asset Management revenues	19.3		(3.8)		63.1		31.1

Other Operations	Other Operations									Other Operations

Net investment income	Net investment income	3.3		4.0		5.1		11.1		Net investment income	7.0		3.3		14.0		5.1
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(11.8)		16.6		20.1		18.7		Net realized and unrealized investment gains (losses)	76.0		(11.8)		117.8		20.1
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	Net realized and unrealized investment gains (losses) from investment in MediaAlpha	(113.5)		113.0		(94.7)		71.3		Net realized and unrealized investment gains (losses) from investment in MediaAlpha	(77.3)		(113.5)		7.9		(94.7)
Commission revenues	Commission revenues	2.6		2.3		5.5		4.6		Commission revenues	3.2		2.6		6.5		5.5
Other revenues	Other revenues	30.9		22.4		56.6		29.5		Other revenues	21.3		30.9		51.9		56.6
Total Other Operations revenues	Total Other Operations revenues	(88.5)		158.3		(7.4)		135.2		Total Other Operations revenues	30.2		(88.5)		198.1		(7.4)
Total revenues	Total revenues	$	76.7	$	342.4	$	337.1	$	445.8	Total revenues	$	378.4	$	76.7	$	910.3	$	337.1

See Notes to Consolidated Financial Statements

CONSOLIDATED STATEMENTS OF OPERATIONS (CONTINUED)

(Unaudited)


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Expenses:	Expenses:									Expenses:
Financial Guarantee (HG Global/BAM)	Financial Guarantee (HG Global/BAM)									Financial Guarantee (HG Global/BAM)
Insurance acquisition expenses		$	4.8	$	1.6	$	7.8	$	3.5
Acquisition expenses										Acquisition expenses	$	1.5	$	4.8	$	4.2	$	7.8

General and administrative expenses	General and administrative expenses	17.4		13.9		33.7		30.3		General and administrative expenses	14.9		17.4		32.2		33.7
Interest expense	Interest expense	3.4		—		3.4		—		Interest expense	2.5		3.4		7.0		3.4
Total Financial Guarantee expenses	Total Financial Guarantee expenses	25.6		15.5		44.9		33.8		Total Financial Guarantee expenses	18.9		25.6		43.4		44.9

P&C Insurance and Reinsurance (Ark)
P&C Insurance and Reinsurance (Ark/WM Outrigger)										P&C Insurance and Reinsurance (Ark/WM Outrigger)
Loss and loss adjustment expenses	Loss and loss adjustment expenses	120.5		52.6		242.5		118.6		Loss and loss adjustment expenses	167.5		120.5		315.3		242.5
Insurance and reinsurance acquisition expenses		50.2		34.0		100.1		70.7
Acquisition expenses										Acquisition expenses	61.4		50.2		121.2		100.1

General and administrative expenses	General and administrative expenses	29.8		24.8		52.9		62.6		General and administrative expenses	34.9		29.7		70.1		50.7
Change in fair value of contingent consideration										Change in fair value of contingent consideration	2.2		.1		(.2)		2.2
Interest expense	Interest expense	3.1		1.3		6.9		2.4		Interest expense	5.2		3.1		10.2		6.9
Total P&C Insurance and Reinsurance expenses	Total P&C Insurance and Reinsurance expenses	203.6		112.7		402.4		254.3		Total P&C Insurance and Reinsurance expenses	271.2		203.6		516.6		402.4

Asset Management (Kudu)	Asset Management (Kudu)									Asset Management (Kudu)
General and administrative expenses	General and administrative expenses	3.0		3.2		5.7		5.7		General and administrative expenses	4.0		3.1		7.8		5.9
Amortization of other intangible assets		.1		.1		.2		.2

Interest expense	Interest expense	3.3		1.5		6.1		7.3		Interest expense	5.3		3.3		10.0		6.1
Total Asset Management expenses	Total Asset Management expenses	6.4		4.8		12.0		13.2		Total Asset Management expenses	9.3		6.4		17.8		12.0

Other Operations	Other Operations									Other Operations

Cost of sales	Cost of sales	22.4		17.9		43.8		21.9		Cost of sales	11.6		22.4		25.5		43.8
General and administrative expenses	General and administrative expenses	50.1		29.3		79.0		65.0		General and administrative expenses	48.8		51.0		88.5		80.8
Amortization of other intangible assets		.9		.4		1.8		.9

Interest expense	Interest expense	.3		.4		.6		.7		Interest expense	1.2		.3		2.0		.6
Total Other Operations expenses	Total Other Operations expenses	73.7		48.0		125.2		88.5		Total Other Operations expenses	61.6		73.7		116.0		125.2
Total expenses	Total expenses	309.3		181.0		584.5		389.8		Total expenses	361.0		309.3		693.8		584.5
Pre-tax income (loss) from continuing operations	Pre-tax income (loss) from continuing operations	(232.6)		161.4		(247.4)		56.0		Pre-tax income (loss) from continuing operations	17.4		(232.6)		216.5		(247.4)
Income tax (expense) benefit	Income tax (expense) benefit	16.0		(30.0)		18.7		(23.6)		Income tax (expense) benefit	(.2)		16.0		(12.1)		18.7
Net income (loss) from continuing operations	Net income (loss) from continuing operations	(216.6)		131.4		(228.7)		32.4		Net income (loss) from continuing operations	17.2		(216.6)		204.4		(228.7)
Net gain (loss) from sale of discontinued operations, net of tax - Sirius		—		—		—		18.7
Net income (loss) from discontinued operations, net of tax - NSM Group										Net income (loss) from discontinued operations, net of tax - NSM Group	—		6.4		—		10.1

Net income (loss) from NSM Group discontinued operations, net of tax		6.4		1.1		10.1		(29.1)

Net income (loss)	Net income (loss)	(210.2)		132.5		(218.6)		22.0		Net income (loss)	17.2		(210.2)		204.4		(218.6)
Net (income) loss attributable to non-controlling interests		41.0		6.0		82.8		41.2
Net (income) loss attributable to noncontrolling interests										Net (income) loss attributable to noncontrolling interests	2.4		41.0		(5.3)		82.8
Net income (loss) attributable to White Mountains’s common shareholders	Net income (loss) attributable to White Mountains’s common shareholders	$	(169.2)	$	138.5	$	(135.8)	$	63.2	Net income (loss) attributable to White Mountains’s common shareholders	$	19.6	$	(169.2)	$	199.1	$	(135.8)

See Notes to Consolidated Financial Statements

WHITE MOUNTAINS INSURANCE GROUP, LTD.

CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME

(Unaudited)


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Net income (loss) attributable to White Mountains’s common shareholders	Net income (loss) attributable to White Mountains’s common shareholders	$	(169.2)	$	138.5	$	(135.8)	$	63.2	Net income (loss) attributable to White Mountains’s common shareholders	$	19.6	$	(169.2)	$	199.1	$	(135.8)

Other comprehensive income, net of tax:										Other comprehensive income, net of tax:
Other comprehensive income (loss), net of tax	Other comprehensive income (loss), net of tax	(1.1)		.5		(1.5)		.2		Other comprehensive income (loss), net of tax	1.4		(1.1)		2.6		(1.5)

Other comprehensive income (loss) from NSM Group discontinued operations, net of tax		(4.0)		.5		(5.9)		2.6
Other comprehensive income (loss) from discontinued operations, net of tax - NSM Group										Other comprehensive income (loss) from discontinued operations, net of tax - NSM Group	—		(4.0)		—		(5.9)
Comprehensive income (loss)	Comprehensive income (loss)	(174.3)		139.5		(143.2)		66.0		Comprehensive income (loss)	21.0		(174.3)		201.7		(143.2)
Other comprehensive (income) loss attributable to non-controlling interests		.5		(.1)		.7		(.2)
Other comprehensive (income) loss attributable to noncontrolling interests										Other comprehensive (income) loss attributable to noncontrolling interests	(.4)		.5		(.8)		.7
Comprehensive income (loss) attributable to White Mountains’s common shareholders	Comprehensive income (loss) attributable to White Mountains’s common shareholders	$	(173.8)	$	139.4	$	(142.5)	$	65.8	Comprehensive income (loss) attributable to White Mountains’s common shareholders	$	20.6	$	(173.8)	$	200.9	$	(142.5)


Earnings (loss) per share attributable to White Mountains’s common shareholders:	Earnings (loss) per share attributable to White Mountains’s common shareholders:									Earnings (loss) per share attributable to White Mountains’s common shareholders:

Basic earnings (loss) per share	Basic earnings (loss) per share									Basic earnings (loss) per share
Continuing operations	Continuing operations	$	(58.78)	$	44.21	$	(48.57)	$	23.35	Continuing operations	$	7.65	$	(58.78)	$	77.57	$	(48.57)
Discontinued operations	Discontinued operations	1.98		.35		3.17		(3.00)		Discontinued operations	—		1.98		—		3.17
Total consolidated operations	Total consolidated operations	$	(56.80)	$	44.56	$	(45.40)	$	20.35	Total consolidated operations	$	7.65	$	(56.80)	$	77.57	$	(45.40)
Diluted earnings (loss) per share	Diluted earnings (loss) per share									Diluted earnings (loss) per share
Continuing operations	Continuing operations	$	(58.78)	$	44.21	$	(48.57)	$	23.35	Continuing operations	$	7.65	$	(58.78)	$	77.57	$	(48.57)
Discontinued operations	Discontinued operations	1.98		.35		3.17		(3.00)		Discontinued operations	—		1.98		—		3.17
Total consolidated operations	Total consolidated operations	$	(56.80)	$	44.56	$	(45.40)	$	20.35	Total consolidated operations	$	7.65	$	(56.80)	$	77.57	$	(45.40)
Dividends declared and paid per White Mountains’s common share	Dividends declared and paid per White Mountains’s common share	$	—	$	—	$	1.00	$	1.00	Dividends declared and paid per White Mountains’s common share	$	—	$	—	$	1.00	$	1.00

See Notes to Consolidated Financial Statements.

WHITE MOUNTAINS INSURANCE GROUP, LTD.

CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY

(Unaudited)

White Mountains’s Common Shareholders’ Equity
Millions Common shares and paid-in surplus Retained earnings AOCI, after tax Total Non-controlling interest Total Equity
Balance at March 31, 2022 $ 586.3 $ 2,956.2 $ (.4) $ 3,542.1 $ 127.2 $ 3,669.3
Net loss — (169.2) — (169.2) (41.0) (210.2)
Net change in foreign currency translation and other — — (4.6) (4.6) (.5) (5.1)
Total comprehensive loss — (169.2) (4.6) (173.8) (41.5) (215.3)
Dividends to non-controlling interests — — — — (6.4) (6.4)
Repurchases and retirements of common shares (10.4) (52.2) — (62.6) — (62.6)
Issuances of common shares 2.2 — — 2.2 — 2.2
Issuances of shares of non-controlling interests — — — — 74.6 74.6
BAM member surplus contribution, net of tax — — — — 24.0 24.0
Amortization of restricted share awards 3.6 — — 3.6 — 3.6
Recognition of equity-based compensation expense
of subsidiaries 6.5 — — 6.5 .4 6.9
Net contributions and dilution from other
non-controlling interests 15.0 (9.7) — 5.3 (9.6) (4.3)
Balance at June 30, 2022 $ 603.2 $ 2,725.1 $ (5.0) $ 3,323.3 $ 168.7 $ 3,492.0


	White Mountains’s Common Shareholders’ Equity
Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity
Balance at March 31, 2023	$	537.8	$	3,367.3	$	(2.7)	$	3,902.4	$	190.4	$	4,092.8
Net income (loss)	—		19.6		—		19.6		(2.4)		17.2
Other comprehensive income (loss), net of tax	—		—		1.0		1.0		.4		1.4

Total comprehensive income (loss)	—		19.6		1.0		20.6		(2.0)		18.6

Dividends to noncontrolling interests	—		—		—		—		(.6)		(.6)
Issuances of common shares	2.0		—		—		2.0		—		2.0
Repurchases and retirements of common shares	(1.2)		(6.2)		—		(7.4)		—		(7.4)

BAM member surplus contribution, net of tax	—		—		—		—		14.7		14.7
Amortization of restricted share awards	4.1		—		—		4.1		—		4.1
Recognition of equity-based compensation expense of subsidiaries	.5		—		—		.5		.1		.6
Net contributions and dilution from other noncontrolling interests	—		—		—		—		1.1		1.1

Balance at June 30, 2023	$	543.2	$	3,380.7	$	(1.7)	$	3,922.2	$	203.7	$	4,125.9


		White Mountains’s Common Shareholders’ Equity													White Mountains’s Common Shareholders’ Equity
Millions	Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity		Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity
Balance at March 31, 2021		$	597.9	$	3,226.7	$	1.3	$	3,825.9	$	110.0	$	3,935.9
Balance at March 31, 2022														Balance at March 31, 2022	$	586.3	$	2,956.2	$	(.4)	$	3,542.1	$	127.2	$	3,669.3
Net income (loss)	Net income (loss)	—		138.5		—		138.5		(6.0)		132.5		Net income (loss)	—		(169.2)		—		(169.2)		(41.0)		(210.2)
Net change in foreign currency translation and other		—		—		.9		.9		.1		1.0
Other comprehensive income (loss), net of tax														Other comprehensive income (loss), net of tax	—		—		(.6)		(.6)		(.5)		(1.1)
Net gain (loss) from foreign currency translation from sale of discontinued operations, net of tax - NSM Group														Net gain (loss) from foreign currency translation from sale of discontinued operations, net of tax - NSM Group	—		—		(4.0)		(4.0)		—		(4.0)
Total comprehensive income (loss)	Total comprehensive income (loss)	—		138.5		.9		139.4		(5.9)		133.5		Total comprehensive income (loss)	—		(169.2)		(4.6)		(173.8)		(41.5)		(215.3)

Dividends to non-controlling interests		—		—		—		—		(.6)		(.6)
Dividends to noncontrolling interests														Dividends to noncontrolling interests	—		—		—		—		(6.4)		(6.4)
Issuances of common shares	Issuances of common shares	1.7		—		—		1.7		—		1.7		Issuances of common shares	2.2		—		—		2.2		—		2.2
Issuance of shares of non-controlling interests	Issuance of shares of non-controlling interests	—		—		—		—		6.1		6.1		Issuance of shares of non-controlling interests	—		—		—		—		74.6		74.6
Repurchases and retirements of common shares	Repurchases and retirements of common shares	—		—		—		—		—		—		Repurchases and retirements of common shares	(10.4)		(52.2)		—		(62.6)		—		(62.6)
BAM member surplus contributions, net of tax	BAM member surplus contributions, net of tax	—		—		—		—		16.3		16.3		BAM member surplus contributions, net of tax	—		—		—		—		24.0		24.0
Amortization of restricted share awards	Amortization of restricted share awards	3.5		—		—		3.5		—		3.5		Amortization of restricted share awards	3.6		—		—		3.6		—		3.6
Recognition of equity-based compensation expense of subsidiary		1.3		—		—		1.3		.3		1.6
Net contributions and dilution from other non-controlling interests		(7.2)		13.4		.2		6.4		(6.5)		(.1)
Acquisition of non-controlling interests		—		—		—		—		10.1		10.1
Recognition of equity-based compensation expense of subsidiaries														Recognition of equity-based compensation expense of subsidiaries	6.5		—		—		6.5		.4		6.9
Net contributions and dilution from other noncontrolling interests														Net contributions and dilution from other noncontrolling interests	15.0		(9.7)		—		5.3		(9.6)		(4.3)

Balance at June 30, 2021		$	597.2	$	3,378.6	$	2.4	$	3,978.2	$	129.8	$	4,108.0

Balance at June 30, 2022														Balance at June 30, 2022	$	603.2	$	2,725.1	$	(5.0)	$	3,323.3	$	168.7	$	3,492.0

See Notes to Consolidated Financial Statements.

CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY (CONTINUED)

(Unaudited)


		White Mountains’s Common Shareholders’ Equity													White Mountains’s Common Shareholders’ Equity
Millions	Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity		Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity
Balance at January 1, 2022		$	588.9	$	2,957.5	$	1.7	$	3,548.1	$	156.6	$	3,704.7
Balance at January 1, 2023														Balance at January 1, 2023	$	538.6	$	3,211.8	$	(3.5)	$	3,746.9	$	188.1	$	3,935.0
Net income (loss)	Net income (loss)	—		(135.8)		—		(135.8)		(82.8)		(218.6)		Net income (loss)	—		199.1		—		199.1		5.3		204.4
Other comprehensive income (loss), net of tax	Other comprehensive income (loss), net of tax	—		—		(6.7)		(6.7)		(.7)		(7.4)		Other comprehensive income (loss), net of tax	—		—		1.8		1.8		.8		2.6

Total comprehensive income (loss)	Total comprehensive income (loss)	—		(135.8)		(6.7)		(142.5)		(83.5)		(226.0)		Total comprehensive income (loss)	—		199.1		1.8		200.9		6.1		207.0
Dividends declared on common shares	Dividends declared on common shares	—		(3.0)		—		(3.0)		—		(3.0)		Dividends declared on common shares	—		(2.6)		—		(2.6)		—		(2.6)
Dividends to non-controlling interests		—		—		—		—		(7.0)		(7.0)
Dividends to noncontrolling interests														Dividends to noncontrolling interests	—		—		—		—		(7.8)		(7.8)
Issuances of common shares	Issuances of common shares	3.0		—		—		3.0		—		3.0		Issuances of common shares	2.1		—		—		2.1		—		2.1
Issuance of shares of non-controlling interests		—		—		—		—		74.6		74.6

Repurchases and retirements of common shares	Repurchases and retirements of common shares	(17.7)		(83.9)		—		(101.6)		—		(101.6)		Repurchases and retirements of common shares	(5.1)		(27.6)		—		(32.7)		—		(32.7)
BAM member surplus contributions, net of tax	BAM member surplus contributions, net of tax	—		—		—		—		36.3		36.3		BAM member surplus contributions, net of tax	—		—		—		—		26.5		26.5
Amortization of restricted share awards	Amortization of restricted share awards	6.5		—		—		6.5		—		6.5		Amortization of restricted share awards	7.2		—		—		7.2		—		7.2
Recognition of equity-based compensation expense of subsidiaries	Recognition of equity-based compensation expense of subsidiaries	7.7		—		—		7.7		.6		8.3		Recognition of equity-based compensation expense of subsidiaries	.9		—		—		.9		.3		1.2
Net contributions and dilution from other non-controlling interests		14.8		(9.7)		—		5.1		(8.9)		(3.8)
Net contributions (distributions) and dilution from other noncontrolling interests														Net contributions (distributions) and dilution from other noncontrolling interests	(.5)		—		—		(.5)		(.1)		(.6)
Disposition of noncontrolling interests														Disposition of noncontrolling interests	—		—		—		—		(9.4)		(9.4)

Balance at June 30, 2022		$	603.2	$	2,725.1	$	(5.0)	$	3,323.3	$	168.7	$	3,492.0
Balance at June 30, 2023														Balance at June 30, 2023	$	543.2	$	3,380.7	$	(1.7)	$	3,922.2	$	203.7	$	4,125.9


		White Mountains’s Common Shareholders’ Equity													White Mountains’s Common Shareholders’ Equity
Millions	Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity		Millions	Common shares and paid-in surplus		Retained earnings		AOCI, after tax		Total		Non-controlling interest		Total Equity
Balance at January 1, 2021		$	595.2	$	3,311.2	$	(.4)	$	3,906.0	$	(88.1)	$	3,817.9
Balance at January 1, 2022														Balance at January 1, 2022	$	588.9	$	2,957.5	$	1.7	$	3,548.1	$	156.6	$	3,704.7
Net income (loss)	Net income (loss)	—		63.2		—		63.2		(41.2)		22.0		Net income (loss)	—		(135.8)		—		(135.8)		(82.8)		(218.6)
Other comprehensive income (loss), net of tax	Other comprehensive income (loss), net of tax	—		—		2.6		2.6		.2		2.8		Other comprehensive income (loss), net of tax	—		—		(.8)		(.8)		(.7)		(1.5)
Net gain (loss) from foreign currency translation from sale of discontinued operations, net of tax - NSM Group														Net gain (loss) from foreign currency translation from sale of discontinued operations, net of tax - NSM Group	—		—		(5.9)		(5.9)		—		(5.9)
Total comprehensive income (loss)	Total comprehensive income (loss)	—		63.2		2.6		65.8		(41.0)		24.8		Total comprehensive income (loss)	—		(135.8)		(6.7)		(142.5)		(83.5)		(226.0)
Dividends declared on common shares	Dividends declared on common shares	—		(3.1)		—		(3.1)		—		(3.1)		Dividends declared on common shares	—		(3.0)		—		(3.0)		—		(3.0)
Dividends to non-controlling interests		—		—		—		—		(1.2)		(1.2)
Dividends to noncontrolling interests														Dividends to noncontrolling interests	—		—		—		—		(7.0)		(7.0)
Issuances of common shares	Issuances of common shares	1.7		—		—		1.7		—		1.7		Issuances of common shares	3.0		—		—		3.0		—		3.0
Issuance of shares of non-controlling interests	Issuance of shares of non-controlling interests	—		—		—		—		6.1		6.1		Issuance of shares of non-controlling interests	—		—		—		—		74.6		74.6
Repurchases and retirements of common shares	Repurchases and retirements of common shares	(1.4)		(6.1)		—		(7.5)		.3		(7.2)		Repurchases and retirements of common shares	(17.7)		(83.9)		—		(101.6)		—		(101.6)
BAM member surplus contributions, net of tax	BAM member surplus contributions, net of tax	—		—		—		—		30.1		30.1		BAM member surplus contributions, net of tax	—		—		—		—		36.3		36.3
Amortization of restricted share awards	Amortization of restricted share awards	7.5		—		—		7.5		—		7.5		Amortization of restricted share awards	6.5		—		—		6.5		—		6.5
Recognition of equity-based compensation expense of subsidiary		1.8		—		—		1.8		—		1.8
Net contributions and dilution from other non-controlling interests		(7.6)		13.4		.2		6.0		(6.7)		(.7)
Acquisition of non-controlling interests		—		—		—		—		230.3		230.3
Recognition of equity-based compensation expense of subsidiaries														Recognition of equity-based compensation expense of subsidiaries	7.7		—		—		7.7		.6		8.3
Net contributions and dilution from other noncontrolling interests														Net contributions and dilution from other noncontrolling interests	14.8		(9.7)		—		5.1		(8.9)		(3.8)

Balance at June 30, 2021		$	597.2	$	3,378.6	$	2.4	$	3,978.2	$	129.8	$	4,108.0

Balance at June 30, 2022														Balance at June 30, 2022	$	603.2	$	2,725.1	$	(5.0)	$	3,323.3	$	168.7	$	3,492.0

See Notes to Consolidated Financial Statements.

WHITE MOUNTAINS INSURANCE GROUP, LTD.

CONSOLIDATED STATEMENTS OF CASH FLOWS
(Unaudited) Six Months Ended June 30,
Millions 2022 2021
Cash flows from operations:
Net income (loss) $ (218.6) $ 22.0
Adjustments to reconcile net income to net cash provided from (used for) operations:
Net realized and unrealized investment (gains) losses 112.5 (60.7)
Net realized and unrealized investment (gains) losses from investment in MediaAlpha 94.7 (71.3)
Deferred income tax expense 4.0 28.5
Amortization of restricted share awards 6.5 7.5
Amortization and depreciation 8.4 8.2
Net (income) loss from NSM Group discontinued operation, net of tax (10.1) 29.1
Net (gain) loss from sale of Sirius Group, net of tax — (18.7)
Other operating items:
Net change in reinsurance recoverables 49.7 2.0
Net change in insurance premiums receivable (478.8) (352.3)
Net change in ceded unearned premiums (38.3) 54.1
Net change in loss and loss adjustment expense reserves 127.4 64.0
Net change in unearned insurance premiums 532.4 406.0
Net change in deferred acquisition costs (85.0) (81.5)
Net change in reinsurance payable (5.3) (15.5)
Net change in restricted cash 2.8 4.0
Investments in Kudu Participation Contracts (52.8) (11.3)
Net change in other assets and liabilities, net (46.3) (42.6)
Net cash provided from (used for) operations - continuing operations 3.2 (28.5)
Net cash provided from (used for) operations - NSM Group discontinued operations (Note 19)
36.7 42.4
Net cash provided from (used for) operations 39.9 13.9
Cash flows from investing activities:
Net change in short-term investments 212.6 (8.3)
Sales of fixed maturity investments 153.4 127.2
Maturities, calls and paydowns of fixed maturity investments 75.6 86.4
Sales of common equity securities and investment in MediaAlpha — 176.8
Distributions and redemptions of other long-term investments 46.5 58.1
Proceeds from the sale of consolidated subsidiaries, net of cash sold of $0.0 and $0.0 19.5 —
Release of cash pre-funded/placed in escrow for Ark Transaction — 646.3
Purchases of consolidated subsidiaries, net of cash acquired of $0.3 and $52.2 (67.9) 10.6
Purchases of other long-term investments (50.4) (130.2)
Purchases of common equity securities (38.1) (103.7)
Purchases of fixed maturity investments (330.8) (764.3)
Other investing activities, net 5.7 (6.0)
Net cash provided from (used for) investing activities - continuing operations 26.1 92.9
Net cash provided from (used for) investing activities - NSM Group discontinued operations (Note 19)
7.1 (2.6)
Net cash provided from (used for) investing activities 33.2 90.3
Cash flows from financing activities:
Draw down of debt and revolving line of credit 203.0 105.3
Repayment of debt and revolving line of credit (2.4) (94.2)
Cash dividends paid to the Company’s common shareholders (3.0) (3.1)
Common shares repurchased (101.6) (7.4)
Net distributions from non-controlling interest shareholders (6.5) (1.1)
Contributions from discontinued operations 11.6 —
Capital contributions from BAM members 36.3 30.1
Acquisition of subsidiary shares by non-controlling interest shareholders 74.6 6.1
Fidus Re premium payment (3.8) (5.0)
Other financing activities, net (1.8) (7.8)
Net cash provided from (used for) financing activities - continuing operations 206.4 22.9
Net cash provided from (used for) financing activities - NSM Group discontinued operations (Note 19)
(16.9) (11.2)
Net cash provided from (used for) financing activities 189.5 11.7
Net change in cash during the period - continuing operations 235.7 87.3
Cash balances at beginning of period (includes restricted cash balances of $4.5 and $— and excludes
discontinued operations cash balances of $111.6 and $126.6)
147.7 84.6
Cash balances at end of period (includes restricted cash balances of $7.3 and $4.0 and excludes discontinued
operations cash balances of $142.7 and 154.8)
$ 383.4 $ 171.9
Supplemental cash flows information:
Interest paid $ (6.3) $ (3.4)
Net income tax payments $ (3.8) $ (2.1)

(Unaudited)


	Six Months Ended June 30,
Millions	2023		2022
Cash flows from operations:
Net income (loss)	$	204.4	$	(218.6)
Adjustments to reconcile net income to net cash provided from (used for) operations:
Net realized and unrealized investment (gains) losses	(201.6)		112.5
Net realized and unrealized investment (gains) losses from investment in MediaAlpha	(7.9)		94.7
Deferred income tax expense (benefit)	(4.5)		4.0
Amortization of restricted share awards	7.2		6.5
Amortization (accretion) and depreciation	(5.0)		8.4
Net (income) loss from discontinued operation, net of tax - NSM Group	—		(10.1)

Other operating items:
Net change in reinsurance recoverables	(74.4)		11.4
Net change in insurance premiums receivable	(532.9)		(478.8)
Net change in deferred acquisition costs	(106.3)		(85.0)
Net change in loss and loss adjustment expense reserves	124.5		127.4
Net change in unearned insurance premiums	758.7		532.4
Net change in reinsurance payable	(4.1)		(5.3)
Net change in restricted cash	1.2		2.8
Proceeds from Kudu’s Participation Contracts sold	74.6		(52.8)
Contributions to Kudu’s Participation Contracts	(81.6)		—
Net other operating activities	4.4		(46.3)
Net cash provided from (used for) operations - continuing operations	156.7		3.2
Net cash provided from (used for) operations - NSM Group discontinued operations (Note 19)	—		36.7
Net cash provided from (used for) operations	156.7		39.9
Cash flows from investing activities:
Net change in short-term investments	(42.6)		212.6
Sales of fixed maturity investments	90.5		153.4
Maturities, calls and paydowns of fixed maturity investments	146.3		75.6
Sales of common equity securities	119.2		—
Distributions and redemptions of other long-term investments	18.7		46.5


Proceeds from the sale of other businesses, net of cash sold of $0.8 and $0.0	17.3		19.5
Purchases of consolidated subsidiaries, net of cash acquired of $0.0 and $0.3	—		(67.9)
Purchases of fixed maturity investments	(240.5)		(330.8)
Purchases of common equity securities and investment in MediaAlpha	(104.2)		(38.1)
Purchases of other long-term investments	(215.9)		(50.4)
Net other investing activities	(11.6)		5.7
Net cash provided from (used for) investing activities - continuing operations	(222.8)		26.1
Net cash provided from (used for) investing activities - NSM Group discontinued operations (Note 19)	—		7.1
Net cash provided from (used for) investing activities	(222.8)		33.2
Cash flows from financing activities:
Draw down of debt and revolving line of credit	12.0		203.0
Repayment of debt and revolving line of credit	(23.1)		(2.4)

Cash dividends paid to common shareholders	(2.6)		(3.0)
Common shares repurchased	(32.7)		(101.6)

Net contributions from (distributions to) other noncontrolling interests	(7.5)		(6.5)
Net (contributions to) distributions from discontinued operations	—		11.6

Acquisition of subsidiary shares from non-controlling interest shareholders	—		74.6


BAM member surplus contributions	26.5		36.3

Fidus Re premium payments	(6.9)		(3.8)
Net other financing activities	(.1)		(1.8)
Net cash provided from (used for) financing activities - continuing operations	(34.4)		206.4
Net cash provided from (used for) financing activities - NSM Group discontinued operations (Note 19)	—		(16.9)
Net cash provided from (used for) financing activities	(34.4)		189.5

Net change in cash during the period - continuing operations	(100.5)		235.7
Cash balances at beginning of period (includes restricted cash balances of $12.2 and $4.5 and excludes discontinued operations cash balances of $0.0 and $111.6)	255.0		147.7


Cash balances at end of period (includes restricted cash balances of $13.4 and $7.3 and excludes discontinued operations cash balances of $0.0 and $142.7)	$	154.5	$	383.4
Supplemental cash flows information:
Interest paid	$	(11.6)	$	(6.3)
Net income tax payments	(27.8)		(3.8)

See Notes to Consolidated Financial Statements

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (Unaudited)

Note 1. Basis of Presentation and Significant Accounting Policies

Basis of Presentation

White Mountains Insurance Group, Ltd. (the “Company” or the “Registrant”) is an exempted Bermuda limited liability company whose principal businesses are conducted through its subsidiaries and other affiliates. The Company’s headquarters is located at 26 Reid Street, Hamilton, Bermuda HM 11, its principal executive office is located at 23 South Main Street, Suite 3B, Hanover, New Hampshire 03755-2053 and its registered office is located at Clarendon House, 2 Church Street, Hamilton, Bermuda HM 11. The Company’s website is www.whitemountains.com. The information contained on White Mountains’s website is not incorporated by reference into, and is not a part of, this report.

The accompanying consolidated financial statements have been prepared in accordance with generally accepted accounting principles in the United States (“GAAP”) and include the accounts of the Company, its subsidiaries (collectively with the Company, “White Mountains”) and other entities required to be consolidated under GAAP. Intercompany transactions have been eliminated in consolidation. Certain amounts in the prior period financial statements have been reclassified to conform to the current presentation.

The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities as of the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ from those estimates.

These interim financial statements include all adjustments considered necessary by management to fairly state the financial position, results of operations and cash flows of White Mountains. These interim financial statements may not be indicative of financial results for the full year and should be read in conjunction with the Company’s ~~2021~~2022 Annual Report on Form 10-K.

Reportable Segments

As of June 30, 2023, White Mountains conducted its operations through three reportable segments: (1) HG Global/BAM, (2) Ark/WM Outrigger, and (3) Kudu, with our remaining operating businesses, holding companies and other assets included in Other Operations. White Mountains has ~~determined~~made its ~~reportable segments~~segment determination based on consideration of the following criteria: (i) the nature of the ~~underlying businesses,~~business activities of each of the Company’s subsidiaries and affiliates; (ii) the manner in which the Company’s subsidiaries and affiliates are ~~organized~~organized; (iii) the existence of primary managers responsible for specific subsidiaries and ~~managed~~affiliates; and (iv) the organization of ~~the financial~~ information provided to the Company’s chief operating decision ~~maker to assess performance~~makers and ~~make decisions regarding allocation~~its Board of ~~resources. As of June 30, 2022, White Mountains’s reportable segments were HG Global/BAM, Ark, Kudu and Other Operations.~~Directors. See Note 14 — “Segment Information.”

The HG Global/BAM segment consists of HG Global Ltd. and its wholly-owned subsidiaries ~~(“HG~~(collectively, “HG Global”) and the consolidated results of Build America Mutual Assurance Company (“BAM”) (collectively with HG Global, “HG Global/BAM”). BAM is the first and only mutual municipal bond insurance company in the United States. By insuring the timely payment of principal and interest, BAM provides market access to, and lowers interest expense for, issuers of municipal bonds used to finance essential public purpose projects, such as schools, utilities and transportation facilities. BAM is owned by and operated for the benefit of its members, the municipalities that purchase BAM’s insurance for their debt issuances. HG Global was established to fund the startup of BAM and, through its reinsurance subsidiary, HG Re Ltd. (“HG Re”), to provide up to 15%-of-par, first loss reinsurance protection for policies underwritten by BAM. HG Global, together with its subsidiaries, funded the initial capitalization of BAM through the purchase of $503.0 million of surplus notes issued by BAM (the “BAM Surplus Notes”). As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, White Mountains owned 96.9% of HG Global’s preferred equity and 88.4% of its common equity. White Mountains does not have an ownership interest in BAM. However, White Mountains is required to consolidate BAM’s results in its financial statements because BAM is a variable interest entity (“VIE”) for which White Mountains is the primary beneficiary. BAM’s results are all attributed to ~~non-controlling~~noncontrolling interests.

The ~~Ark~~Ark/WM Outrigger segment consists of Ark Insurance Holdings Limited and its subsidiaries (collectively, “Ark”) and Outrigger Re Ltd. Segregated Account 2023-1 (“WM Outrigger Re”) (collectively with Ark, “Ark/WM Outrigger”). Ark is a specialty property and casualty insurance and reinsurance company that offers a wide range of niche insurance and reinsurance products, including property, specialty, marine & energy, ~~specialty,~~casualty and accident & ~~health and casualty.~~health. Ark underwrites select coverages through Lloyd’s Syndicates 4020 and 3902 (the “Syndicates”) and its wholly-owned subsidiary Group Ark Insurance Limited (“GAIL”). White Mountains acquired a controlling ownership interest in Ark on January 1, 2021 (the “Ark Transaction”). ~~See~~ ~~Note 2 — “Significant Transactions.~~” As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, White Mountains owned 72.0% of Ark on a basic shares outstanding basis (63.0% after taking account of management’s equity incentives). The remaining shares are owned by current and former employees. In the future, management rollover shareholders could earn additional shares in Ark if and to the extent that White Mountains achieves certain multiple of invested capital return thresholds. If fully earned, these additional shares would represent 12.5% of the shares outstanding at closing. For the years of account prior to the Ark Transaction, a significant proportion of the Syndicates’ underwriting capital was provided by third-party insurance and reinsurance groups (“TPC Providers”) using whole account reinsurance contracts with Ark’s corporate member. For the years of account subsequent to the Ark Transaction, Ark is no longer using TPC Providers to provide underwriting capital for the Syndicates. Captions within results of operations and other comprehensive income for the three and six months ended June 30, 2022 are shown net of amounts relating to the TPC ~~Providers~~Providers’ share of the Syndicates’ results, including investment results. During the fourth quarter of 2022, Ark sponsored the formation of Outrigger Re Ltd., a Bermuda company registered as a special purpose insurer and segregated accounts company, to provide collateralized reinsurance protection on Ark’s Bermuda global property catastrophe excess of loss portfolio written in calendar year 2023. Outrigger Re Ltd. issued non-voting redeemable preference shares on behalf of four segregated accounts to White Mountains and unrelated third-party investors. White Mountains consolidates the results of its segregated account, WM Outrigger Re, in its financial statements. See

Note 2 — “Significant Transactions.”

As of June 30, 2023 and December 31, 2022, White Mountains owned 100.0% of WM Outrigger Re’s preferred equity.

The Kudu segment consists of Kudu Investment Management, LLC and its subsidiaries (collectively “Kudu”). Kudu provides capital solutions for boutique asset and wealth managers for a variety of purposes including generational ownership transfers, management buyouts, acquisition and growth finance and legacy partner liquidity. Kudu also provides strategic assistance to investees from time to time. Kudu’s capital solutions ~~typically~~generally are structured as minority preferred equity stakes with distribution rights, ~~generally~~typically tied to gross revenues and designed to generate ~~strong, stable~~immediate cash yields. As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, White Mountains owned 89.2% and 89.3% ~~and 99.3%~~ of ~~the~~Kudu’s basic units outstanding (76.1% and ~~84.7%~~76.1% on a fully diluted, fully converted basis).

~~The~~White Mountains’s Other Operations ~~segment~~ consists of the Company and its wholly-owned subsidiary, White Mountains Capital, LLC (“WM Capital”), its other intermediate holding companies, its wholly-owned investment management subsidiary, White Mountains Advisors LLC (“WM Advisors”), investment assets managed by WM Advisors, its interests in MediaAlpha, Inc. (“MediaAlpha”), PassportCard Limited (“PassportCard”) and DavidShield Life Insurance Agency (2000) Ltd. (“DavidShield”) (collectively, “PassportCard/DavidShield”), Elementum Holdings LP (“Elementum”), ~~and~~ certain other consolidated and unconsolidated entities (“Other Operating Businesses”) and certain other assets.

Discontinued Operations

On ~~May 9,~~August 1, 2022, White Mountains Holdings (Luxembourg) S.à r.l. (“WTM Holdings Seller”) ~~and White Mountains Catskill Holdings, Inc. (“NSM Holdings”)~~, ~~each~~ an indirect wholly owned subsidiary of White Mountains, completed the ~~Company, entered into a securities purchase agreement (the “NSM SPA”) together with~~sale of White Mountains Catskill Holdings, Inc. and NSM Insurance HoldCo, LLC (“NSM” and, collectively with ~~NSM~~White Mountains Catskill Holdings, Inc., the “NSM Group”) to ~~sell NSM Holdings for cash (the “NSM Transaction”) to investment funds affiliated with~~Riser Merger Sub, Inc., an affiliate of The Carlyle Group Inc. ~~(“Carlyle”~~(the “NSM Transaction”)., pursuant to the terms of the securities purchase agreement dated as of May 9, 2022. See Note 2 — “Significant Transactions.” NSM is a full-service managing general agent (“MGA”) and program administrator with delegated binding authorities for specialty property and casualty insurance. ~~As of June 30, 2022 and December 31, 2021, White Mountains owned 96.5% of the basic units outstanding of NSM (87.3% on a fully diluted, fully converted basis).~~

As a result of the NSM Transaction, ~~effective as of and for the periods ended June 30, 2022,~~ the assets and liabilities of NSM Group have been presented in the balance sheet as held for sale for periods prior to the closing of the transaction, and the results of operations for NSM Group have been classified as discontinued operations in the statements of operations and comprehensive ~~income.~~income through the closing of the transaction. Prior period amounts have been reclassified to conform to the current period’s presentation. See Note 19 — “Held for Sale and Discontinued Operations.”

Significant Accounting Policies

Refer to the Company’s ~~2021~~2022 Annual Report on Form 10-K for a complete discussion regarding White Mountains’s significant accounting policies.

Note 2. Significant Transactions

NSM

On ~~May 9,~~August 1, 2022, ~~WTM Holdings Seller entered into~~ the NSM ~~SPA to sell 100% of White Mountains’s equity interest in NSM Group to investment funds affiliated with Carlyle. The NSM~~ Transaction ~~closed on August 1, 2022.~~closed. White Mountains received $1.4 billion in net cash proceeds at closing and recognized a net transaction gain of ~~approximately $870.0~~$875.7 million, which was comprised of $886.8 million of net gain from sale of discontinued operations and $2.9 million of comprehensive income related to the recognition of foreign currency translation gains (losses) from the sale, partially offset by $14.0 million of compensation and other costs related to the transaction recorded in Other Operations.

WM Outrigger Re

During the fourth quarter of 2022, Ark sponsored the formation of Outrigger Re Ltd., a Bermuda company registered as a special purpose insurer and segregated accounts company, to provide reinsurance capacity to Ark. On December 20, 2022, Outrigger Re Ltd. issued $250.0 million of non-voting redeemable preference shares on behalf of four segregated accounts to White Mountains and unrelated third-party investors. Upon issuance of the preference shares, Outrigger Re Ltd. entered into collateralized quota share agreements with GAIL to provide reinsurance protection on Ark’s Bermuda global property catastrophe excess of loss portfolio written in calendar year 2023. The proceeds from the issuance of the preference shares were deposited into collateral trust accounts to fund any potential obligations under the reinsurance agreements with GAIL. Outrigger Re Ltd.’s obligations under the reinsurance agreements with GAIL are subject to an aggregate limit equal to the assets in the ~~third quarter of 2022.~~collateral trusts at any point in time. The ~~amount received at closing was based on estimates of cash, indebtedness, working capital and transaction expenses. The proceeds may be adjusted upon determination~~terms of the ~~final closing amounts.~~reinsurance agreements are renewable upon the mutual agreement of Ark and the applicable preference shareholder.

White Mountains purchased 100% of the preference shares issued by its segregated account, WM Outrigger Re, for $205.0 million. White Mountains consolidates WM Outrigger Re’s results in its financial statements. WM Outrigger Re’s quota share reinsurance agreement with GAIL eliminates in White Mountains’s consolidated financial statements.

Kudu

On May 26, 2022, Kudu raised $114.5 million of equity capital (the “Kudu Transaction”) from Massachusetts Mutual Life Insurance Company (“Mass Mutual”), White Mountains and Kudu management. Mass Mutual, White Mountains and Kudu management contributed $64.1 million, $50.0 million and $0.4 million ~~and in each case,~~ at a pre-money valuation of 1.3x book value, or $114.0 million above the December 31, 2021 equity value of Kudu’s go-forward portfolio of revenue and earnings participation ~~contracts. As of June 30, 2022, Kudu’s~~contracts (“Participation Contracts”). The go-forward portfolio of ~~participation contracts excludes $39.1~~Kudu’s Participation Contracts excluded $54.3 million of enterprise value as of December 31, 2021 relating to two portfolio companies that had announced sale transactions prior to the capital raise. As a result of the Kudu Transaction, White Mountains’s basic ownership of Kudu decreased from 99.1% to 89.3%.

~~Ark~~

On October 1, 2020, White Mountains entered into a subscription and purchase agreement (the “Ark SPA”) with Ark and certain selling shareholders (collectively with Ark, the “Ark Sellers”). Under the terms of the Ark SPA, White Mountains agreed to contribute $605.4 million of equity capital to Ark, at a pre-money valuation of $300.0 million, and to purchase $40.9 million of shares from the Ark Sellers. White Mountains also agreed to contribute up to an additional $200.0 million of equity capital to Ark in 2021. In accordance with the Ark SPA, in the fourth quarter of 2020, White Mountains pre-funded/placed in escrow a total of $646.3 million in preparation for closing the Ark Transaction, including $280.0 million funded directly to Lloyd’s on behalf of Ark under the terms of a credit facility agreement and $366.3 million placed in escrow.

On January 1, 2021, White Mountains completed the Ark Transaction in accordance with the terms of the Ark SPA. As of June 30, 2022, White Mountains owned 72.0% of Ark on a basic shares outstanding basis (63.0%) after taking account of management’s equity incentives). The remaining shares are owned by current and former employees. In the future, management rollover shareholders could earn additional shares in Ark if and to the extent that White Mountains achieves certain multiple of invested capital return thresholds. If fully earned, these additional shares would represent 12.5% of the shares outstanding at closing.

White Mountains recognized total assets acquired related to the Ark Transaction of $2.5 billion, including goodwill and other intangible assets of $292.5 million, and total liabilities of $1.7 billion, including contingent consideration of $22.5 million and non-controlling interest of $220.2 million. Ark incurred transaction costs of $25.3 million in the first quarter of 2021.

~~In the third quarter of 2021, Ark issued $163.3 million of floating rate unsecured subordinated notes (the “Ark 2021 Subordinated Notes”) in three separate transactions. See~~ ~~Note 7 — “Debt.”~~ In connection with the issuance of the Ark 2021 Subordinated Notes, White Mountains and Ark terminated White Mountains’s commitment to provide up to $200.0 million of additional equity capital to Ark in 2021.

~~The following presents additional details of the assets acquired and liabilities assumed as of the January 1, 2021 acquisition date:~~

Millions As of January 1, 2021
Investments $ 594.3
Cash 52.0 (1)
Reinsurance recoverables 433.4
Insurance premiums receivable 236.7
Ceded unearned premiums 170.2
Value of in-force business acquired 71.7
Other assets 88.9
Loss and loss adjustment expense reserves (696.0)
Unearned insurance premiums (326.1)
Debt (46.4)
Ceded reinsurance payable (528.3)
Other liabilities (25.9)
Net tangible assets acquired 24.5
Goodwill 116.8
Other intangible assets - syndicate underwriting capacity 175.7
Deferred tax liability on other intangible assets (33.4)
Net assets acquired $ 283.6

~~(1)~~ ~~Cash excludes the White Mountains cash contribution of $605.4 as part of the Ark transaction.~~

The values of net tangible assets acquired and the resulting goodwill, other intangible assets and contingent consideration were recorded at fair value using Level 3 inputs. The majority of the tangible assets acquired and liabilities assumed were recorded at their carrying values, as their carrying values approximated their fair values due to their short-term nature. The fair values of goodwill, other intangible assets and the contingent consideration liability were internally estimated primarily based on the income approach. The income approach estimates fair value based on the present value of the cash flows that the assets are expected to generate in the future. White Mountains developed internal estimates for the expected future cash flows and discount rates used in the present value calculations.

The value of in-force business acquired represents the estimated profits relating to the unexpired contracts, net of related prepaid reinsurance, at the acquisition date through the expiration date of the contracts. For the three and six months ended June 30, 2022, Ark recognized $1.4 million and $6.1 million of amortization expense on the value of in-force business acquired. For the three and six months ended June 30, 2021, Ark recognized $15.1 million and $43.9 million of amortization expense on the value of in-force business acquired. The value of the syndicate underwriting capacity intangible asset was estimated using net cash flows attributable to Ark’s rights to write business in the Lloyd’s market. The value of the in-force business acquired and the syndicate underwriting capacity were estimated using a discounted cash flow method. Significant inputs to the valuation models include estimates of growth in premium revenues, investment returns, claim costs, expenses and discount rates based on a weighted average cost of capital.

In evaluating the fair value of Ark’s loss and loss adjustment expense reserves (“LAE”), White Mountains determined that the risk-free rate of interest was approximately equal to the risk factor reflecting the uncertainty within the reserves and that no adjustment was necessary.

As of June 30, 2022 and December 31, 2021, Ark recognized total contingent consideration liabilities of $30.2 million and $28.0 million. Any future adjustments to contingent consideration liabilities will be recognized through pre-tax income (loss). For the three and six months ended June 30, 2022, Ark recognized pre-tax expense of $0.1 million and $2.2 million and for the change in the fair value of its contingent consideration liabilities. For the three and six months ended June 30, 2021, Ark did not recognize any pre-tax income (loss) for the change in the fair value of its contingent consideration liabilities.

~~MediaAlpha~~

On October 30, 2020, MediaAlpha completed an initial public offering (the “MediaAlpha IPO”). In the offering, White Mountains sold 3.6 million shares at $19.00 per share ($17.67 per share net of underwriting fees) and received total proceeds of $63.8 million. White Mountains also received $55.0 million of net proceeds related to a dividend recapitalization at MediaAlpha.

On March 23, 2021, MediaAlpha completed a secondary offering of 8.05 million shares. In the secondary offering, White Mountains sold 3.6 million shares at $46.00 per share ($44.62 per share net of underwriting fees) for net proceeds of $160.3 million.

As of June 30, 2022, White Mountains owned 16.9 million shares, representing a 27.6% basic ownership interest (25.0% fully-diluted/fully-converted basis). At this current level of ownership, each $1.00 per share increase or decrease in the share price of MediaAlpha will result in an approximate $5.80 per share increase or decrease in White Mountains’s book value per share. At the June 30, 2022 closing price of $9.85 per share, the fair value of White Mountains’s investment in MediaAlpha was $166.9 million. See ~~Note 16 — “Equity-Method Eligible Investments.”~~

~~PassportCard/DavidShield~~

On January 24, 2018, White Mountains acquired a 50.0% ownership interest in DavidShield, its joint venture partner in PassportCard. DavidShield is an MGA that is the leading provider of expatriate medical insurance in Israel and uses the same card-based delivery system as PassportCard. As part of the transaction, White Mountains reorganized its equity stake in PassportCard so that White Mountains and its partner in DavidShield would each own 50.0% of both businesses. To facilitate the transaction, White Mountains provided financing to its partner in the form of a non-interest bearing loan that is secured by the partner’s equity in PassportCard and DavidShield. The gross purchase price for the 50.0% interest in DavidShield was $41.8 million, or $28.3 million net of the financing provided for the restructuring.

On May 7, 2020, White Mountains made an additional $15.0 million investment in PassportCard/DavidShield to support operations through the ongoing COVID-19 pandemic. The transaction increased White Mountains’s ownership interest from 50.0% to 53.8%, but had no impact on the governance structure of the companies, including White Mountains’s board representation or other investor rights. The governance structures for both PassportCard and DavidShield were designed to give White Mountains and its co-investor equal power to make the decisions that most significantly impact the operations of PassportCard and DavidShield. Because White Mountains does not have the unilateral power to direct the operations of PassportCard or DavidShield, White Mountains does not hold a controlling financial interest in either PassportCard or DavidShield and does not consolidate either entity. White Mountains’s ownership interest gives White Mountains the opportunity to exert significant influence over the significant financial and operating activities of PassportCard and DavidShield. Accordingly, PassportCard and DavidShield meet the criteria to be accounted for under the equity method. White Mountains has taken the fair value option for its investment in PassportCard and DavidShield. Changes in the fair value of PassportCard and DavidShield are recorded in realized and unrealized investment gains. White Mountains’s maximum exposure to loss on its equity investment in PassportCard/DavidShield and the non-interest bearing loan to its partner is limited to the total carrying value of $143.0 million.

Note 3. Investment Securities

White Mountains’s portfolio of investment securities held for general investment purposes consists of fixed maturity investments, short-term investments, common equity securities, its investment in MediaAlpha and other long-term investments, which are classified as trading securities. Trading securities are reported at fair value as of the balance sheet date. Net realized and unrealized investment gains (losses) on trading securities are reported in pre-tax revenues.

White Mountains’s fixed maturity investments are generally valued using industry standard pricing methodologies. Key inputs include benchmark yields, benchmark securities, reported trades, issuer spreads, bids, offers, credit ratings and prepayment speeds. Income on mortgage and asset-backed securities is recognized using an effective yield based on anticipated prepayments and the estimated economic life of the securities. When actual prepayments differ significantly from anticipated prepayments, the estimated economic life is recalculated and the remaining unamortized premium or discount is amortized prospectively over the remaining economic life.

Realized investment gains (losses) resulting from sales of investment securities are accounted for using the specific identification method. Premiums and discounts on all fixed maturity investments are amortized or accreted to income over the anticipated life of the investment. Short-term investments consist of interest-bearing money market funds, certificates of deposit and other securities, which at the time of purchase, mature or become available for use within one year. Short-term investments are carried at fair value, which approximated amortized cost, as of June 30, ~~2022~~2023 and December 31, ~~2021.~~2022.

Other long-term investments consist primarily of unconsolidated entities, including Kudu’s Participation Contracts, private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits, insurance-linked securities (“ILS”) funds and private debt ~~investments.~~instruments.

Net Investment Income

White Mountains’s net investment income is comprised primarily of interest income associated with White Mountains’s fixed maturity investments and short-term investments, dividend income from common equity securities, distributions from its investment in MediaAlpha and distributions from other long-term investments.

The following table presents pre-tax net investment income for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended				Six Months Ended
		June 30,				June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Fixed maturity investments	Fixed maturity investments	$	9.4	$	7.2	$	17.6	$	13.7	Fixed maturity investments	$	15.5	$	9.4	$	30.0	$	17.6
Short-term investments	Short-term investments	.4		(1.1)		.5		.5		Short-term investments	11.3		.4		21.0		.5
Common equity securities	Common equity securities	.1		—		.1		—		Common equity securities	1.3		.1		2.6		.1

Other long-term investments	Other long-term investments	15.6		11.3		28.8		25.1		Other long-term investments	15.3		15.6		29.4		28.8
Amount attributable to TPC Providers	Amount attributable to TPC Providers	—		.3		(.5)		(.6)		Amount attributable to TPC Providers	—		—		—		(.5)
Total investment income	Total investment income	25.5		17.7		46.5		38.7		Total investment income	43.4		25.5		83.0		46.5
Third-party investment expenses	Third-party investment expenses	(.4)		(.6)		(.8)		(1.0)		Third-party investment expenses	(.4)		(.4)		(1.0)		(.8)
Net investment income, pre-tax	Net investment income, pre-tax	$	25.1	$	17.1	$	45.7	$	37.7	Net investment income, pre-tax	$	43.0	$	25.1	$	82.0	$	45.7

1312

Net Realized and Unrealized Investment Gains (Losses)

The following table presents net realized and unrealized investment gains (losses) for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Realized investment gains (losses)	Realized investment gains (losses)									Realized investment gains (losses)
Fixed maturity investments	Fixed maturity investments	$	(4.8)	$	.9	$	(5.9)	$	2.8	Fixed maturity investments	$	(1.3)	$	(4.8)	$	(1.4)	$	(5.9)
Short-term investments	Short-term investments	(.1)		.6		(.3)		.3		Short-term investments	.2		(.1)		(.1)		(.3)
Common equity securities	Common equity securities	—		.4		—		.4		Common equity securities	12.6		—		12.6		—
Investment in MediaAlpha		—		—		—		160.3

Other long-term investments	Other long-term investments	2.0		10.5		20.7		(8.3)		Other long-term investments	1.1		2.0		48.3		20.7
Net realized investment gains (losses)	Net realized investment gains (losses)	(2.9)		12.4		14.5		155.5		Net realized investment gains (losses)	12.6		(2.9)		59.4		14.5

Unrealized investment gains (losses)	Unrealized investment gains (losses)									Unrealized investment gains (losses)
Fixed maturity investments	Fixed maturity investments	(54.6)		8.2		(134.1)		(19.2)		Fixed maturity investments	(11.5)		(54.6)		18.2		(134.1)
Short-term investments	Short-term investments	(.7)		1.0		(.5)		—		Short-term investments	.2		(.7)		1.3		(.5)
Common equity securities	Common equity securities	(11.6)		4.6		(10.6)		5.6		Common equity securities	18.9		(11.6)		48.3		(10.6)
Investment in MediaAlpha	Investment in MediaAlpha	(113.5)		113.0		(94.7)		(89.0)		Investment in MediaAlpha	(77.3)		(113.5)		7.9		(94.7)
Other long-term investments	Other long-term investments	(37.0)		36.9		13.4		83.9		Other long-term investments	68.5		(37.0)		74.4		13.4
Net unrealized investment gains (losses)	Net unrealized investment gains (losses)	(217.4)		163.7		(226.5)		(18.7)		Net unrealized investment gains (losses)	(1.2)		(217.4)		150.1		(226.5)
Net realized and unrealized investment gains (losses), before amount attributable to TPC providers(1)	Net realized and unrealized investment gains (losses), before amount attributable to TPC providers(1)	(220.3)		176.1		(212.0)		136.8		Net realized and unrealized investment gains (losses), before amount attributable to TPC providers (1)	11.4		(220.3)		209.5		(212.0)
Amount attributable to TPC Providers	Amount attributable to TPC Providers	2.7		(3.5)		4.8		(4.8)		Amount attributable to TPC Providers	—		2.7		—		4.8
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	$	(217.6)	$	172.6	$	(207.2)	$	132.0	Net realized and unrealized investment gains (losses)	$	11.4	$	(217.6)	$	209.5	$	(207.2)

Fixed maturity and short-term investments	Fixed maturity and short-term investments									Fixed maturity and short-term investments
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	$	(60.2)	$	10.7	$	(140.8)	$	(16.1)	Net realized and unrealized investment gains (losses)	$	(12.4)	$	(60.2)	$	18.0	$	(140.8)
Less: net realized and unrealized gains (losses) on investment securities sold during the period	Less: net realized and unrealized gains (losses) on investment securities sold during the period	(2.1)		(.3)		(3.1)		(1.3)		Less: net realized and unrealized gains (losses) on investment securities sold during the period	.4		(2.1)		2.2		(3.1)
Net unrealized investment gains (losses) on investment securities held at the end of the period		$	(58.1)	$	11.0	$	(137.7)	$	(14.8)

Net unrealized investment gains (losses) recognized during the period on investment securities held at the end of the period										Net unrealized investment gains (losses) recognized during the period on investment securities held at the end of the period	$	(12.8)	$	(58.1)	$	15.8	$	(137.7)
Common equity securities and investment in MediaAlpha	Common equity securities and investment in MediaAlpha									Common equity securities and investment in MediaAlpha
Net realized and unrealized investment gains (losses) on common equity securities	Net realized and unrealized investment gains (losses) on common equity securities	$	(11.6)	$	5.0	$	(10.6)	$	6.0	Net realized and unrealized investment gains (losses) on common equity securities	$	31.5	$	(11.6)	$	60.9	$	(10.6)
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	Net realized and unrealized investment gains (losses) from investment in MediaAlpha	(113.5)		113.0		(94.7)		71.3		Net realized and unrealized investment gains (losses) from investment in MediaAlpha	(77.3)		(113.5)		7.9		(94.7)
Total net realized and unrealized investment gains (losses)	Total net realized and unrealized investment gains (losses)	(125.1)		118.0		(105.3)		77.3		Total net realized and unrealized investment gains (losses)	(45.8)		(125.1)		68.8		(105.3)
Less: net realized and unrealized gains (losses) on investment securities sold during the period	Less: net realized and unrealized gains (losses) on investment securities sold during the period	—		—		—		19.9		Less: net realized and unrealized gains (losses) on investment securities sold during the period	3.8		—		3.8		—
Net unrealized investment gains (losses) on investment securities held at the end of the period		$	(125.1)	$	118.0	$	(105.3)	$	57.4
Net unrealized investment gains (losses) recognized during the period on investment securities held at the end of the period										Net unrealized investment gains (losses) recognized during the period on investment securities held at the end of the period	$	(49.6)	$	(125.1)	$	65.0	$	(105.3)

(1) For the three months ended June 30, 2023 and 2022, includes $5.5 and ~~2021, includes~~ $(24.5) ~~and $(0.2)~~ of realized and unrealized investment gains (losses) related to foreign currency exchange. For the six months ~~ended~~ending June 30, 2023 and 2022, includes $10.9 and ~~2021, includes~~ $(21.8) ~~and $(0.4)~~ of realized and unrealized investment gains (losses) related to foreign currency exchange.

The following table presents total net unrealized gains ~~included in earnings~~(losses) attributable to ~~net unrealized investment gains for~~ Level 3 investments for the three and six months ended June 30, ~~2022~~2023 and ~~2021~~2022 for investments still held at the end of the period:

Three Months Ended Six Months Ended
June 30, June 30,
Millions 2022 2021 2022 2021
Other long-term investments $ (10.2) $ 32.3 $ 17.0 $ 49.0
Total net unrealized investment gains, pre-tax - Level 3 investments $ (10.2) $ 32.3 $ 17.0 $ 49.0


	Three Months Ended June 30,				Six Months Ended June 30,
Millions	2023		2022		2023		2022



Total net unrealized investment gains on other long-term investments held at the end of the period, pre-tax	$	14.4	$	(10.2)	$	51.4	$	17.0

1413

Investment Holdings

The following tables present the cost or amortized cost, gross unrealized investment gains (losses), net foreign currency gains (losses) and carrying values of White Mountains’s fixed maturity investments as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022											June 30, 2023
Millions	Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value		Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value
U.S. Government and agency obligations	U.S. Government and agency obligations	$	233.0	$	—	$	(7.2)	$	—	$	225.8	U.S. Government and agency obligations	$	227.6	$	—	$	(9.4)	$	—	$	218.2
Debt securities issued by corporations	Debt securities issued by corporations	1,043.5		.5		(67.4)		(2.4)		974.2		Debt securities issued by corporations	1,061.8		.3		(67.9)		(1.7)		992.5
Municipal obligations	Municipal obligations	291.8		1.0		(12.5)		—		280.3		Municipal obligations	273.6		—		(19.4)		—		254.2
Mortgage and asset-backed securities	Mortgage and asset-backed securities	268.5		—		(23.9)		—		244.6		Mortgage and asset-backed securities	321.9		—		(33.9)		—		288.0

Collateralized loan obligations	Collateralized loan obligations	150.8		—		(6.0)		(3.0)		141.8		Collateralized loan obligations	192.4		.2		(3.6)		(1.2)		187.8
Total fixed maturity investments	Total fixed maturity investments	$	1,987.6	$	1.5	$	(117.0)	$	(5.4)	$	1,866.7	Total fixed maturity investments	$	2,077.3	$	.5	$	(134.2)	$	(2.9)	$	1,940.7


		December 31, 2021											December 31, 2022
Millions	Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value		Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value
U.S. Government and agency obligations	U.S. Government and agency obligations	$	212.1	$	.5	$	(1.1)	$	—	$	211.5	U.S. Government and agency obligations	$	216.6	$	—	$	(10.2)	$	—	$	206.4
Debt securities issued by corporations	Debt securities issued by corporations	993.3		8.7		(8.7)		(.4)		992.9		Debt securities issued by corporations	1,098.3		.6		(78.3)		(1.8)		1,018.8
Municipal obligations	Municipal obligations	276.4		16.8		(1.3)		—		291.9		Municipal obligations	281.6		.4		(23.4)		—		258.6
Mortgage and asset-backed securities	Mortgage and asset-backed securities	277.2		2.9		(2.5)		—		277.6		Mortgage and asset-backed securities	288.7		—		(34.5)		—		254.2

Collateralized loan obligations	Collateralized loan obligations	136.5		—		(.4)		(1.1)		135.0		Collateralized loan obligations	190.8		.1		(6.0)		(2.0)		182.9
Total fixed maturity investments	Total fixed maturity investments	$	1,895.5	$	28.9	$	(14.0)	$	(1.5)	$	1,908.9	Total fixed maturity investments	$	2,076.0	$	1.1	$	(152.4)	$	(3.8)	$	1,920.9

The following table presents the cost or amortized cost and carrying values of White Mountains’s fixed maturity investments by contractual maturity as of June 30, ~~2022.~~2023. Actual maturities could differ from contractual maturities because borrowers may have the right to call or prepay certain obligations with or without call or prepayment penalties.


		June 30, 2022					June 30, 2023
Millions	Millions	Cost or Amortized Cost		Carrying Value		Millions	Cost or Amortized Cost		Carrying Value
Due in one year or less	Due in one year or less	$	205.1	$	202.2	Due in one year or less	$	276.3	$	269.7
Due after one year through five years	Due after one year through five years	892.5		843.7		Due after one year through five years	876.2		819.9
Due after five years through ten years	Due after five years through ten years	361.1		330.0		Due after five years through ten years	311.7		285.0
Due after ten years	Due after ten years	109.6		104.4		Due after ten years	98.8		90.3
Mortgage and asset-backed securities and collateralized loan obligations	Mortgage and asset-backed securities and collateralized loan obligations	419.3		386.4		Mortgage and asset-backed securities and collateralized loan obligations	514.3		475.8

Total fixed maturity investments	Total fixed maturity investments	$	1,987.6	$	1,866.7	Total fixed maturity investments	$	2,077.3	$	1,940.7

1514

The following tables present the cost or amortized cost, gross unrealized investment gains (losses), net foreign currency gains (losses), and carrying values of common equity securities, White Mountains’s investment in MediaAlpha and other long-term investments as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022											June 30, 2023
Millions	Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value		Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value
Common equity securities	Common equity securities	$	274.3	$	20.9	$	(6.7)	$	(9.9)	$	278.6	Common equity securities	$	599.0	$	64.1	$	(1.8)	$	(6.2)	$	655.1
Investment in MediaAlpha	Investment in MediaAlpha	$	—	$	166.9	$	—	$	—	$	166.9	Investment in MediaAlpha	$	59.2	$	176.5	$	—	$	—	$	235.7

Other long-term investments	Other long-term investments	$	1,264.2	$	295.6	$	(81.1)	$	(10.0)	$	1,468.7	Other long-term investments	$	1,593.3	$	337.5	$	(104.7)	$	(11.1)	$	1,815.0

December 31, 2021
Millions Cost or
Amortized
Cost Gross
Unrealized
Gains Gross
Unrealized
Losses Net Foreign
Currency
Gains (Losses) Carrying
Value
Common equity securities $ 236.3 $ 16.1 $ — $ (1.3) $ 251.1
Investment in MediaAlpha $ — $ 261.6 $ — $ — $ 261.6
Other long-term investments $ 1,186.7 $ 239.0 $ (44.1) $ (3.8) $ 1,377.8


	December 31, 2022
Millions	Cost or Amortized Cost		Gross Unrealized Gains		Gross Unrealized Losses		Net Foreign Currency Gains (Losses)		Carrying Value
Common equity securities	$	660.6	$	26.7	$	(8.4)	$	(10.5)	$	668.4
Investment in MediaAlpha	$	—	$	168.6	$	—	$	—	$	168.6

Other long-term investments	$	1,340.8	$	271.1	$	(107.1)	$	(16.8)	$	1,488.0

Fair Value Measurements

Fair value measurements are categorized into a hierarchy that distinguishes between inputs based on market data from independent sources (observable inputs) and a reporting entity’s internal assumptions based upon the best information available when external market data is limited or unavailable (unobservable inputs). Quoted prices in active markets for identical assets or liabilities have the highest priority (Level 1), followed by observable inputs other than quoted prices, including prices for similar but not identical assets or liabilities (Level 2) and unobservable inputs, including the reporting entity’s estimates of the assumptions that market participants would use, having the lowest priority (Level 3). See Note 1917 — “Fair Value of Financial Instruments.”

As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, White Mountains used quoted market prices or other observable inputs to determine fair value for approximately ~~64%~~68% and ~~68%~~72% of the investment portfolio.

Fair Value Measurements by Level

The following tables present White Mountains’s fair value measurements for investments as of June 30, ~~2022~~2023 and December 31, ~~2021~~2022 by level. The major security types were based on the legal form of the securities. White Mountains has disaggregated its fixed maturity investments based on the issuing entity type, which impacts credit quality, with debt securities issued by U.S. government entities carrying minimal credit risk, while the credit and other risks associated with other issuers, such as corporations, municipalities or entities issuing mortgage and asset-backed securities vary depending on the nature of the issuing entity type. White Mountains further disaggregates debt securities issued by corporations by industry sector because investors often reference commonly used benchmarks and their subsectors to monitor risk and performance. Accordingly, White Mountains has further disaggregated this asset class into subclasses based on the similar sectors and industry classifications it uses to evaluate investment risk and performance against commonly used benchmarks, such as the Bloomberg Barclays U.S. Intermediate Aggregate.

1615


		June 30, 2022									June 30, 2023
Millions	Millions	Fair Value		Level 1		Level 2		Level 3		Millions	Fair Value		Level 1		Level 2		Level 3
Fixed maturity investments:	Fixed maturity investments:									Fixed maturity investments:
U.S. Government and agency obligations	U.S. Government and agency obligations	$	225.8	$	225.8	$	—	$	—	U.S. Government and agency obligations	$	218.2	$	218.2	$	—	$	—

Debt securities issued by corporations:	Debt securities issued by corporations:									Debt securities issued by corporations:
Financials	Financials	263.5		—		263.5		—		Financials	289.8		—		289.8		—
Consumer	Consumer	176.8		—		176.8		—		Consumer	193.1		—		193.1		—
Healthcare										Healthcare	122.7		—		122.7		—
Technology	Technology	117.9		—		117.9		—		Technology	116.2		—		116.2		—
Industrial	Industrial	112.7		—		112.7		—		Industrial	111.7		—		111.7		—
Healthcare		105.9		—		105.9		—
Utilities	Utilities	75.1		—		75.1		—		Utilities	66.2		—		66.2		—
Communications	Communications	57.8		—		57.8		—		Communications	42.7		—		42.7		—
Energy	Energy	40.3		—		40.3		—		Energy	29.1		—		29.1		—
Materials	Materials	24.2		—		24.2		—		Materials	21.0		—		21.0		—

Total debt securities issued by corporations	Total debt securities issued by corporations	974.2		—		974.2		—		Total debt securities issued by corporations	992.5		—		992.5		—

Municipal obligations	Municipal obligations	280.3		—		280.3		—		Municipal obligations	254.2		—		254.2		—
Mortgage and asset-backed securities	Mortgage and asset-backed securities	244.6		—		244.6		—		Mortgage and asset-backed securities	288.0		—		288.0		—

Collateralized loan obligations	Collateralized loan obligations	141.8		—		141.8		—		Collateralized loan obligations	187.8		—		187.8		—
Total fixed maturity investments	Total fixed maturity investments	1,866.7		225.8		1,640.9		—		Total fixed maturity investments	1,940.7		218.2		1,722.5		—

Short-term investments	Short-term investments	245.1		245.1		—		—		Short-term investments	986.1		982.2		3.9		—

Common equity securities (1)		278.6		—		278.6		—
Common equity securities:										Common equity securities:
Exchange-traded funds										Exchange-traded funds	272.5		272.5		—		—
Other (1)										Other (1)	382.6		—		382.6		—
Total common equity securities										Total common equity securities	655.1		272.5		382.6		—
Investment in MediaAlpha	Investment in MediaAlpha	166.9		166.9		—		—		Investment in MediaAlpha	235.7		235.7		—		—

Other long-term investments	Other long-term investments	947.1		—		13.8		933.3		Other long-term investments	1,033.3		—		14.9		1,018.4
Other long-term investments — NAV (2)	Other long-term investments — NAV (2)	521.6		—		—		—		Other long-term investments — NAV (2)	781.7		—		—		—
Total other long-term investments	Total other long-term investments	1,468.7		—		13.8		933.3		Total other long-term investments	1,815.0		—		14.9		1,018.4
Total investments	Total investments	$	4,026.0	$	637.8	$	1,933.3	$	933.3	Total investments	$	5,632.6	$	1,708.6	$	2,123.9	$	1,018.4

(1) ~~Consist~~Consists of investments in listed funds that predominantly invest in international equities.

(2) Consists of private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits and ILS funds for which fair value is measured ~~at net asset value (“NAV”)~~ using ~~the~~NAV as a practical expedient. Investments for which fair value is measured at NAV are not classified within the fair value hierarchy.

1716


		December 31, 2021									December 31, 2022
Millions	Millions	Fair Value		Level 1		Level 2		Level 3		Millions	Fair Value		Level 1		Level 2		Level 3
Fixed maturity investments:	Fixed maturity investments:									Fixed maturity investments:
U.S. Government and agency obligations	U.S. Government and agency obligations	$	211.5	$	211.5	$	—	$	—	U.S. Government and agency obligations	$	206.4	$	206.4	$	—	$	—

Debt securities issued by corporations:	Debt securities issued by corporations:									Debt securities issued by corporations:
Financials	Financials	264.2		—		264.2		—		Financials	291.2		—		291.2		—
Consumer	Consumer	178.1		—		178.1		—		Consumer	191.9		—		191.9		—
Healthcare										Healthcare	121.3		—		121.3		—
Technology	Technology	117.9		—		117.9		—		Technology	123.7		—		123.7		—
Industrial	Industrial	112.9		—		112.9		—		Industrial	115.4		—		115.4		—
Healthcare		112.8		—		112.8		—
Utilities	Utilities	70.9		—		70.9		—		Utilities	73.8		—		73.8		—
Communications	Communications	56.0		—		56.0		—		Communications	47.9		—		47.9		—
Energy	Energy	48.0		—		48.0		—		Energy	33.9		—		33.9		—
Materials	Materials	32.1		—		32.1		—		Materials	19.7		—		19.7		—

Total debt securities issued by corporations	Total debt securities issued by corporations	992.9		—		992.9		—		Total debt securities issued by corporations	1,018.8		—		1,018.8		—

Municipal obligations	Municipal obligations	291.9		—		291.9		—		Municipal obligations	258.6		—		258.6		—
Mortgage and asset-backed securities	Mortgage and asset-backed securities	277.6		—		277.6		—		Mortgage and asset-backed securities	254.2		—		254.2		—

Collateralized loan obligations	Collateralized loan obligations	135.0		—		135.0		—		Collateralized loan obligations	182.9		—		182.9		—
Total fixed maturity investments	Total fixed maturity investments	1,908.9		211.5		1,697.4		—		Total fixed maturity investments	1,920.9		206.4		1,714.5		—

Short-term investments	Short-term investments	465.9		465.9		—		—		Short-term investments	924.1		924.1		—		—

Common equity securities (1)		251.1		—		251.1		—
Common equity securities:										Common equity securities:
Exchange-traded funds										Exchange-traded funds	333.8		333.8		—		—
Other (1)										Other (1)	334.6		—		334.6		—
Total common equity securities										Total common equity securities	668.4		333.8		334.6		—
Investment in MediaAlpha	Investment in MediaAlpha	261.6		261.6		—		—		Investment in MediaAlpha	168.6		168.6		—		—

Other long-term investments	Other long-term investments	895.3		—		4.7		890.6		Other long-term investments	926.4		—		14.8		911.6
Other long-term investments — NAV (2)	Other long-term investments — NAV (2)	482.5		—		—		—		Other long-term investments — NAV (2)	561.6		—		—		—
Total other long-term investments	Total other long-term investments	1,377.8		—		4.7		890.6		Total other long-term investments	1,488.0		—		14.8		911.6
Total investments	Total investments	$	4,265.3	$	939.0	$	1,953.2	$	890.6	Total investments	$	5,170.0	$	1,632.9	$	2,063.9	$	911.6

(1)~~Consist~~ Consists of investments in listed funds that predominantly invest in international equities.

(2) Consists of private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits and ILS funds for which fair value is measured atusing NAV ~~using the~~as a practical expedient. Investments for which fair value is measured at NAV are not classified within the fair value hierarchy.

Investments Held on Deposit or as Collateral

As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, investments of ~~$461.5~~$524.0 million and ~~$479.5~~$500.5 million were held in trusts required to be maintained in relation to HG Global’s reinsurance agreements with BAM.

~~BAM~~HG Global is required to maintain an interest reserve account in connection with its senior notes issued in 2022. As of June 30, 2023 and ~~one~~December 31, 2022, the fair value of the ~~Other Operating Businesses are~~interest reserve account, which was included in short-term investments, was $29.7 million and $31.2 million. See Note 7 - “Debt.”

BAM is required to maintain deposits with certain insurance regulatory agencies in order to maintain ~~their~~its insurance licenses. The fair value of such deposits, which represent state deposits and are included within the investment portfolio, totaled ~~$4.8~~$4.6 million as of both June 30, ~~2022~~2023 and December 31, ~~2021.~~2022.

Lloyd’s trust deposits are generally required of Lloyd's syndicates to protect policyholders in non-U.K. markets and are pledged into Lloyd’s trust accounts to provide a portion of the capital needed to support obligations at Lloyd’s. As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, Ark held Lloyd’s trust deposits with a fair value of ~~$113.4~~$152.3 million and ~~$113.8 million~~$137.4 million.

The underwriting capacity of a member of Lloyd’s must be supported by providing a deposit (“Funds at Lloyd’s”) in the form of cash, securities or letters of credit in an amount determined by Lloyd’s. The amount of such deposit is calculated for each member through the completion of an annual capital adequacy exercise. These requirements allow Lloyd’s to evaluate ~~that~~whether each member has sufficient assets to meet its underwriting liabilities plus a required solvency margin. As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, the fair value of Ark’s Funds at Lloyd’s investment deposits totaled ~~$304.8~~$335.3 million and ~~$342.8~~$319.2 million.

As of June 30, 2023 and December 31, 2022, Ark held additional investments on deposit or as collateral for insurance regulators and reinsurance counterparties of $244.9 million and $257.0 million.

As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, Ark had ~~$49.8~~$145.5 million and ~~$50.0~~$90.3 million of short-term investments pledged as collateral under an uncommitted standby ~~letter~~letters of credit. See Note 7 — “Debt.”

As of June 30, 2023 and December 31, 2022, short-term investments of $211.4 million and $203.7 million were held in a collateral trust account required to be maintained in relation to WM Outrigger Re’s reinsurance agreement with GAIL.

Debt Securities Issued by Corporations

The following table presents the credit ratings of debt securities issued by corporations held in White Mountains’s investment portfolio as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		Fair Value at					Fair Value at
Millions	Millions	June 30, 2022		December 31, 2021		Millions	June 30, 2023		December 31, 2022
AAA	AAA	$	11.6	$	12.0	AAA	$	12.7	$	11.3
AA	AA	87.2		85.0		AA	87.7		96.0
A	A	502.3		490.4		A	552.4		567.9
BBB	BBB	366.4		396.8		BBB	333.4		337.7

Other	Other	6.7		8.7		Other	6.3		5.9
Debt securities issued by corporations (1)	Debt securities issued by corporations (1)	$	974.2	$	992.9	Debt securities issued by corporations (1)	$	992.5	$	1,018.8

(1) Credit ratings are based upon issuer credit ratings provided by Standard & Poor’s Financial Services LLC (“Standard & Poor’s”), or if unrated by Standard & Poor’s, long-term obligation ratings provided by Moody’s Investor Service, Inc.

Mortgage and Asset-backed Securities and Collateralized Loan Obligations

The following table presents the fair value of White Mountains’s mortgage and asset-backed securities and collateralized loan obligations as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022						December 31, 2021							June 30, 2023						December 31, 2022
Millions	Millions	Fair Value		Level 2		Level 3		Fair Value		Level 2		Level 3		Millions	Fair Value		Level 2		Level 3		Fair Value		Level 2		Level 3
Mortgage-backed securities:	Mortgage-backed securities:													Mortgage-backed securities:
Agency:	Agency:													Agency:
FNMA	FNMA	$	109.0	$	109.0	$	—	$	125.4	$	125.4	$	—	FNMA	$	155.6	$	155.6	$	—	$	124.5	$	124.5	$	—
FHLMC	FHLMC	79.2		79.2		—		90.5		90.5		—		FHLMC	86.2		86.2		—		78.8		78.8		—
GNMA	GNMA	32.2		32.2		—		40.1		40.1		—		GNMA	31.6		31.6		—		28.3		28.3		—
Total agency (1)	Total agency (1)	220.4		220.4		—		256.0		256.0		—		Total agency (1)	273.4		273.4		—		231.6		231.6		—

Non-agency: Residential	Non-agency: Residential	.4		.4		—		.5		.5		—		Non-agency: Residential	.2		.2		—		.3		.3		—

Total non-agency	Total non-agency	.4		.4		—		.5		.5		—		Total non-agency	.2		.2		—		.3		.3		—
Total mortgage-backed securities	Total mortgage-backed securities	220.8		220.8		—		256.5		256.5		—		Total mortgage-backed securities	273.6		273.6		—		231.9		231.9		—
Other asset-backed securities:	Other asset-backed securities:													Other asset-backed securities:
Credit card receivables	Credit card receivables	12.0		12.0		—		12.3		12.3		—		Credit card receivables	3.2		3.2		—		11.9		11.9		—
Vehicle receivables	Vehicle receivables	11.8		11.8		—		8.8		8.8		—		Vehicle receivables	11.2		11.2		—		10.4		10.4		—

Total other asset-backed securities	Total other asset-backed securities	23.8��		23.8		—		21.1		21.1		—		Total other asset-backed securities	14.4		14.4		—		22.3		22.3		—
Total mortgage and asset-backed securities	Total mortgage and asset-backed securities	244.6		244.6		—		277.6		277.6		—		Total mortgage and asset-backed securities	288.0		288.0		—		254.2		254.2		—
Collateralized loan obligations	Collateralized loan obligations	141.8		141.8		—		135.0		135.0		—		Collateralized loan obligations	187.8		187.8		—		182.9		182.9		—
Total mortgage and asset-backed securities and collateralized loan obligations	Total mortgage and asset-backed securities and collateralized loan obligations	$	386.4	$	386.4	$	—	$	412.6	$	412.6	$	—	Total mortgage and asset-backed securities and collateralized loan obligations	$	475.8	$	475.8	$	—	$	437.1	$	437.1	$	—

(1) Represents publicly traded mortgage-backed securities which carry the full faith and credit guaranty of the U.S. Government (i.e., GNMA) or are guaranteed

by a government sponsored entity (i.e., FNMA, FHLMC).

As of June 30, ~~2022,~~2023, White Mountains’s investment portfolio included ~~$141.8~~$187.8 million of collateralized loan obligations that are within the senior tranches of their respective fund securitization structures. All of White Mountains’s collateral loan obligations were rated AAA or AA as of June 30, ~~2022.~~2023.

Investment in MediaAlpha

In 2020, MediaAlpha completed an initial public offering (the “MediaAlpha IPO”). Following the MediaAlpha IPO, White Mountains’s investment in MediaAlpha is accounted for at fair value based on the publicly traded share price of MediaAlpha’s common stock and is presented as a separate line item on the balance sheet.

Other Long-Term Investments

The following table presents the carrying values of White Mountains’s other long-term investments by reportable segment as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		Fair Value at					Fair Value at June 30, 2023
Millions	Millions	June 30, 2022		December 31, 2021		Millions	Ark/ WM Outrigger		Kudu		Other		Total
Kudu’s Participation Contracts	Kudu’s Participation Contracts	$	727.0	$	669.5	Kudu’s Participation Contracts	$	—	$	737.1	$	—	737.1
PassportCard/DavidShield	PassportCard/DavidShield	132.0		120.0		PassportCard/DavidShield	—		—		150.0		150.0
Elementum Holdings, L.P.	Elementum Holdings, L.P.	45.0		45.0		Elementum Holdings, L.P.	—		—		30.0		30.0
Other unconsolidated entities (1)	Other unconsolidated entities (1)	12.2		34.4		Other unconsolidated entities (1)	—		—		87.5		87.5

Total unconsolidated entities	Total unconsolidated entities	916.2		868.9		Total unconsolidated entities	—		737.1		267.5		1,004.6
Private equity funds and hedge funds	Private equity funds and hedge funds	200.1		153.8		Private equity funds and hedge funds	52.8		—		236.5		289.3

Bank loan fund	Bank loan fund	154.4		163.0		Bank loan fund	184.3		—		—		184.3
ILS funds						ILS funds	—		—		153.3		153.3
Lloyd’s trust deposits	Lloyd’s trust deposits	113.4		113.8		Lloyd’s trust deposits	152.3		—		—		152.3
ILS funds		51.6		51.9
Private debt investments		13.0		14.1
Private debt instruments						Private debt instruments	—		—		9.9		9.9
Other	Other	20.0		12.3		Other	21.3		—		—		21.3
Total other long-term investments	Total other long-term investments	$	1,468.7	$	1,377.8	Total other long-term investments	$	410.7	$	737.1	$	667.2	$	1,815.0

(1) Includes White Mountains’s ~~non-controlling~~noncontrolling equity interests in certain private common equity securities, ~~convertible~~preferred securities, limited liability company units and Simple Agreement for Future Equity (“SAFE”) investments.


	Fair Value at December 31, 2022
Millions	Ark/ WM Outrigger		Kudu		Other		Total
Kudu’s Participation Contracts	$	—	$	695.9	$	—	$	695.9
PassportCard/DavidShield	—		—		135.0		135.0
Elementum Holdings, L.P.	—		—		30.0		30.0
Other unconsolidated entities (1)	—		—		37.2		37.2





Total unconsolidated entities	—		695.9		202.2		898.1
Private equity funds and hedge funds	40.4		—		157.4		197.8

Bank loan fund	174.8		—		—		174.8
ILS funds	—		—		49.3		49.3
Lloyd’s trust deposits	137.4		—		—		137.4
Private debt instruments	—		—		9.6		9.6
Other	21.0		—		—		21.0
Total other long-term investments	$	373.6	$	695.9	$	418.5	$	1,488.0

(1) Includes White Mountains’s noncontrolling equity interests in certain private common equity securities, preferred securities, limited liability company units and Simple Agreement for Future Equity (“SAFE”) investments.

Private Equity Funds and Hedge Funds

White Mountains invests in private equity funds and hedge funds, which are included in other long-term investments. The fair value of these investments is generally estimated using the NAV of the funds. As of June 30, ~~2022,~~2023, White Mountains held investments in 16eighteen private equity funds and 1two hedge ~~fund.~~funds. The largest investment in a single private equity fund or hedge fund was ~~$35.4 million and $31.3~~$54.3 million as of June 30, ~~2022~~2023 and $49.0 million and December 31, ~~2021.~~2022.

The following table presents the fair value of investments and unfunded commitments in private equity funds and hedge funds by investment objective and sector as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022				December 31, 2021					June 30, 2023				December 31, 2022
Millions	Millions	Fair Value		Unfunded Commitments		Fair Value		Unfunded Commitments		Millions	Fair Value		Unfunded Commitments		Fair Value		Unfunded Commitments
Private equity funds	Private equity funds									Private equity funds
Aerospace/Defense/Government	Aerospace/Defense/Government	$	107.0	$	43.5	$	69.8	$	11.8	Aerospace/Defense/Government	$	139.8	$	32.3	$	59.4	$	37.5
Financial services	Financial services	80.0		55.6		67.7		29.3		Financial services	85.7		44.9		77.1		54.3
Real estate	Real estate	4.7		2.5		4.3		2.9		Real estate	4.2		2.5		4.1		2.5

Total private equity funds	Total private equity funds	191.7		101.6		141.8		44.0		Total private equity funds	229.7		79.7		140.6		94.3
Hedge funds	Hedge funds									Hedge funds

Long/short equity financials and business services										Long/short equity financials and business services	49.8		—		49.0		—
European small/mid cap	European small/mid cap	8.4		—		12.0		—		European small/mid cap	9.8		—		8.2		—

Total hedge funds	Total hedge funds	8.4		—		12.0		—		Total hedge funds	59.6		—		57.2		—
Total private equity funds and hedge funds included in other long-term investments	Total private equity funds and hedge funds included in other long-term investments	$	200.1	$	101.6	$	153.8	$	44.0	Total private equity funds and hedge funds included in other long-term investments	$	289.3	$	79.7	$	197.8	$	94.3

Investments in private equity funds are generally subject to a lock-up period during which investors may not request a redemption. Distributions prior to the expected termination date of the fund may be limited to dividends or proceeds arising from the liquidation of the fund’s underlying investments. In addition, certain private equity funds have the option to extend the lock-up period.

The following table presents investments in private equity funds that were subject to lock-up periods as of June 30, ~~2022:~~2023:

Millions

1 – 3 years

3 – 5 years

5 – 10 years

>10 years

Total

Millions

1 – 3 years

3 – 5 years

5 – 10 years

>10 years

Total

Private equity funds — expected lock-up period remaining

$29.8

$21.0

$128.8

$12.1

$191.7

Private equity funds — expected lock-up period remaining

$4.3

$73.4

$141.9

$10.1

$229.7

Investors in private equity funds are generally subject to indemnification obligations outside of the capital commitment period and prior to the winding up of the fund. As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, White Mountains is not aware of any indemnification claims relating to its investments in private equity funds.

Redemption of investments in most hedge funds is subject to restrictions, including lock-up periods where no redemptions or withdrawals are allowed, restrictions on redemption frequency and advance notice periods for redemptions. Amounts requested for redemptions remain subject to market fluctuations until the redemption effective date, which generally falls at the end of the defined redemption period. Advance notice requirements for redemptions from White Mountains’s hedge fund ~~investment is subject~~investments range from 45 to ~~a perpetual two-year restriction on redemption frequency from~~90 days. One of White Mountains’s hedge fund investments also limits redemptions to every second anniversary following the date of the initial ~~investment in the fund and a 90 days advanced notice period requirement.~~investment.

Bank Loan Fund

White Mountains’s other long-term investments include a bank loan fund with a fair value of ~~$154.4~~$184.3 million and $174.8 million as of June 30, 2023 and December 31, 2022. The fair value of this investment is estimated using the NAV of the fund. The bank loan fund’s investment objective is to provide, on an unleveraged basis, high current income consistent with preservation of capital and low duration. The bank loan fund primarily invests in a broad portfolio of U.S. dollar-denominated, non-investment grade, floating-rate senior secured loans and may invest in other financial instruments, such as secured and unsecured corporate debt, credit default swaps, reverse repurchase agreements, synthetic indices and cash and cash equivalents.

The investment in the bank loan fund is subject to restrictions on redemption frequency and advance notice periods for redemptions. Amounts requested for redemptions remain subject to market fluctuations until the redemption effective date, which generally falls at the end of the defined redemption period. White Mountains may redeem all or a portion of its bank loan fund investment as of any calendar month-end upon 15 calendar days advanced written notice.

Lloyd’s Trust Deposits

White Mountains’s other long-term investments include Lloyd’s trust deposits, which consist of non-U.K. deposits and Canadian comingled pooled funds. The Lloyd’s trust deposits invest primarily in short-term government securities, agency securities and corporate bonds held in trusts that are managed by Lloyd's of London. These investments are generally required of Lloyd's syndicates to protect policyholders in non-U.K. markets and are pledged into Lloyd’s trust accounts to provide a portion of the capital needed to support obligations at Lloyd’s. The fair value of the Lloyd’s trust deposits is generally estimated using the NAV of the funds. As of June 30, 2023 and December 31, 2022, White Mountains held Lloyd’s trust deposits with a fair value of ~~$113.4~~$152.3 million and $137.4 million.

Insurance-Linked Securities Funds

White Mountains’s other long-term investments include ILS fund investments. The fair value of these investments is generally estimated using the NAV of the funds. As of June 30, 2023 and December 31, 2022, White Mountains held investments in ILS funds with a fair value of ~~$51.6~~$153.3 million and $49.3 million.

Investments in ILS funds are generally subject to restrictions, including lock-up periods where no redemptions or withdrawals are allowed, non-renewal clauses, restrictions on redemption frequency and advance notice periods for redemptions. From time to time, natural catastrophe, liquidity, market or other events will occur that make the determination of fair value for underlying investments in ILS funds less certain due to the potential for loss development. In such circumstances, the impacted investments may be subject to additional lock-up provisions.

ILS funds are typically subject to monthly and annual restrictions on redemptions and advance redemption notice period requirements that range between 30 and 90 days. Amounts requested for redemption remain subject to market fluctuations until the redemption effective date, which generally falls at the end of the defined redemption ~~period.~~

~~One of the ILS funds in White Mountains’s portfolio requires shareholders to provide advance redemption notice on~~period, or ~~before September 15 of each calendar year. Amounts requested for redemption in this fund remain subject to market fluctuation~~ until the underlying investment has fully matured or been ~~commuted, which may be up to a period of three years from the start of each calendar year.~~commuted.

Rollforward of Level 3 Investments

Level 3 measurements as of June 30, ~~2022~~2023 and ~~2021~~2022 consist of securities for which the estimated fair value has not been determined based upon quoted market price inputs for identical or similar securities. The following table presents the changes in White Mountains’s fair value measurements for Level 3 investments for the six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


Level 3 Investments	Level 3 Investments			Level 3 Investments
Millions	Millions	Other Long-term Investments				Other Long-term Investments		Millions		Other Long-term Investments			Other Long-term Investments
Balance at December 31, 2021		$	890.6		Balance at December 31, 2020	$	614.2
Balance at December 31, 2022									Balance at December 31, 2022		$	911.6	Balance at December 31, 2021	$	890.6
Net realized and unrealized gains	Net realized and unrealized gains	16.6			Net realized and unrealized gains	48.9			Net realized and unrealized gains		49.5		Net realized and unrealized gains	16.6
Amortization/accretion	Amortization/accretion	—			Amortization/accretion	—			Amortization/accretion		—		Amortization/accretion	—
Purchases		57.8			Purchases	13.2
Sales		(31.7)			Sales	(11.5)
Effect of Ark Transaction		—			Effect of Ark Transaction	9.6
Purchases and contributions									Purchases and contributions		167.7		Purchases and contributions	57.8
Sales and distributions									Sales and distributions		(110.4)		Sales and distributions	(31.7)
Transfers in	Transfers in	—			Transfers in	—			Transfers in		—		Transfers in	—
Transfers out	Transfers out	—			Transfers out	—			Transfers out		—		Transfers out	—
Balance at June 30, 2022		$	933.3		Balance at June 30, 2021	$	674.4
Balance at June 30, 2023									Balance at June 30, 2023		$	1,018.4	Balance at June 30, 2022	$	933.3

Fair Value Measurements — Transfers Between Levels - Six months ended June 30, ~~2022~~2023 and ~~2021~~2022

Transfers between levels are recorded using the fair value measurement as of the end of the quarterly period in which the event or change in circumstance giving rise to the transfer occurred.

During the six months ended June 30, ~~2022~~2023 and ~~2021,~~2022, there were no fixed maturity investments or other long-term investments classified as Level 3 measurements in the prior period that were transferred to Level 2 measurements.

During the six months ended June 30, ~~2022~~2023 and ~~2021,~~2022, there were no fixed maturity investments or other long-term investments classified as Level 2 measurements in the prior period that were transferred to Level 3 measurements.

2221

Significant Unobservable Inputs

The following tables present significant unobservable inputs used in estimating the fair value of White Mountains’s other long-term investments, classified within Level 3 as of June 30, ~~2022~~2023 and December 31, ~~2021.~~2022. The tables below exclude ~~$18.3~~$91.8 million and ~~$46.7~~$41.1 million of Level 3 other long-term investments generally valued based on recent or expected transaction prices. The fair value of investments in private equity funds and hedge funds, bank loan funds, Lloyd’s trust deposits and ILS funds are generally estimated using the NAV of the funds.

$ in Millions

June 30, 2022

$ in Millions

June 30, 2023

Description

Valuation Technique(s) (1)

Fair Value (2)

Unobservable Inputs

Description

Valuation Technique(s) (1)

Fair Value (2)

Unobservable Inputs

Discount Rate (6)

Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (6)

Discount Rate (5)

Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (5)

Kudu’s Participation Contracts ~~(5)~~(4)

Discounted cash flow

$727.0

17% - 24%

7x - 15x

Kudu’s Participation Contracts ~~(5)~~(4)

Discounted cash flow

$737.1

17% - 25%

7x - 22x

PassportCard/DavidShield

Discounted cash flow

$132.0

23%

PassportCard/DavidShield

Discounted cash flow

$150.0

24%

Elementum Holdings, L.P.

Discounted cash flow

$45.0

18%

Elementum Holdings, L.P.

Discounted cash flow

$30.0

24%

Private debt investments

Discounted cash flow

$11.0

10%

N/A

Private debt instruments

Discounted cash flow

$9.5

11%

N/A

(1) Key inputs to the discounted cash flow analysis generally include projections of future revenue and earnings, discount rates and terminal exit multiples or growth rates.

(2) Includes the net unrealized investment gains (losses) associated with foreign currency; foreign currency effects based on observable inputs.

(3) Since Kudu’s Participation Contracts are not subject to corporate taxes within Kudu Investment Management, LLC, pre-tax discount rates are applied to pre-tax cash flows in determining fair values. The weighted average discount rate and weighted average terminal cash flow exit multiple applied to Kudu’s Participation Contracts iswas 20% and ~~11x.~~13.0x.

(4) As of June 30, 2022, two of Kudu’s Participation Contracts with a total fair value of $185.9 were valued using a probability weighted expected return method, which was based on a discounted cash flow analysis and an expected sale transaction.

~~(5)~~ In ~~2022,~~the first six months of 2023, Kudu deployed a total of ~~$52.8~~$81.6 into new and existing ~~Kudu~~ Participation ~~Contracts, including Gramercy Funds Management and TK Partners.~~Contracts.

~~(6)~~(5) Increases (decreases) to the discount rates in isolation would result in lower (higher) fair value measurements, while increases (decreases) to the terminal cash flow exit multiples or terminal revenue growth rates in isolation would result in higher (lower) fair value measurements.

$ in Millions

December 31, 2021

$ in Millions

December 31, 2022

Description

Valuation Technique(s) (1)

Fair Value (2)

Unobservable Inputs

Description

Valuation Technique(s) (1)

Fair Value (2)

Unobservable Inputs

Discount Rate (6)

Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (6)

Discount Rate (6)

Terminal Cash Flow Exit Multiple (x) or Terminal Revenue Growth Rate (%) (6)

Kudu’s Participation Contracts (3)(4)(5)

Discounted cash flow

$669.5

18% - 23%

7x - 13x

Kudu’s Participation Contracts (3)(4)(5)

Discounted cash flow

$695.9

18% - 25%

7x - 16x

PassportCard/DavidShield

Discounted cash flow

$120.0

23%

PassportCard/DavidShield

Discounted cash flow

$135.0

24%

Elementum Holdings, L.P.

Discounted cash flow

$45.0

17%

Elementum Holdings, L.P.

Discounted cash flow

$30.0

21%

Private debt investments

Discounted cash flow

$9.4

N/A

Private debt instruments

Discounted cash flow

$9.6

11%

N/A

(1) Key inputs to the discounted cash flow analysis generally include projections of future revenue and earnings, discount rates and terminal exit multiples or growth rates.

(2) Includes the net unrealized investment gains (losses) associated with foreign currency; foreign currency effects based on observable inputs.

(4) In ~~2021,~~2022, Kudu deployed a total of ~~$223.4~~$99.8 into new and existing ~~Kudu~~ Participation ~~Contracts, including TIG Advisors, TK Partners, Third Eye Capital Management, Douglass Winthrop Advisors, Granahan Investment Management and Radcliffe Capital Management.~~Contracts.

(5) As of December 31, ~~2021, one~~2022, two of Kudu’s Participation Contracts with a total fair value of ~~$78.8 was~~$189.0 were valued using a probability weighted expected return method, which ~~was based on~~takes into account factors such as a discounted cash flow analysis, the expected value to be received in a pending sale transaction and ~~an expected sale transaction.~~the likelihood that a sales transaction will take place.

(6) Increases (decreases) to the discount rates in isolation would result in lower (higher) fair value measurements, while increases (decreases) to the terminal cash flow exit multiples or terminal revenue growth rates in isolation would result in higher (lower) fair value measurements.

2322

Note 4. Goodwill and Other Intangible Assets

White Mountains accounts for ~~purchases of businesses~~business combinations using the acquisition method. Under the acquisition method, White Mountains recognizes and measures the assets acquired, liabilities assumed and any ~~non-controlling~~noncontrolling interest in the acquired entities at their acquisition date fair values. Goodwill represents the excess of the amount paid to acquire businesses over the fair value of identifiable net assets at the date of acquisition. The estimated acquisition date fair values, generally consisting of intangible assets and liabilities for contingent consideration, may be recorded at provisional amounts in circumstances where the information necessary to complete the acquisition accounting is not available at the reporting date. Any such provisional amounts are finalized as measurement period adjustments within one year of the acquisition date.

The following table presents the economic lives, acquisition date fair values, accumulated amortization and net carrying values for other intangible assets and goodwill ~~by reportable segment~~ as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


$ in Millions	$ in Millions	Weighted Average Economic Life (in years)	June 30, 2022						December 31, 2021						$ in Millions	Weighted Average Economic Life (in years)					June 30, 2023					December 31, 2022
			Acquisition Date Fair Value		Accumulated Amortization				Net Carrying Value		Acquisition Date Fair Value		Accumulated Amortization						Net Carrying Value			$ in Millions	Weighted Average Economic Life (in years)	Acquisition Date Fair Value		Accumulated Amortization		Net Carrying Value		Acquisition Date Fair Value		Accumulated Amortization		Net Carrying Value
Goodwill:	Goodwill:
Ark	Ark	N/A	$	116.8	$	—			$	116.8	$	116.8	$	—					$	116.8		Ark	N/A	$	116.8	$	—	$	116.8	$	116.8	$	—	$	116.8

Kudu	Kudu	N/A	7.6		—				7.6		7.6								7.6			Kudu	N/A	7.6		—		7.6		7.6		—		7.6
Other Operations (1)		N/A	77.4		—				77.4		17.9		—						17.9
Other Operations																						Other Operations	N/A	44.4		—		44.4		52.1		—		52.1
Total goodwill	Total goodwill		201.8		—				201.8		142.3		—						142.3			Total goodwill		168.8		—		168.8		176.5		—		176.5
Other intangible assets:	Other intangible assets:																					Other intangible assets:
Ark	Ark																					Ark
Underwriting Capacity		N/A	175.7		—				175.7		175.7		—						175.7
Underwriting capacity																						Underwriting capacity	N/A	175.7		—		175.7		175.7		—		175.7

Kudu	Kudu																					Kudu
Trade names	Trade names	7	2.2		1.1				1.1		2.2		.9						1.3			Trade names	7	2.2		1.4		.8		2.2		1.2		1.0
Other Operations	Other Operations																					Other Operations
Trade names	Trade names	17.5	8.2		2.0				6.2		8.2		1.5						6.7			Trade names	13.3	13.3		3.3		10.0		17.9		3.0		14.9
Customer relationships	Customer relationships	13.0	18.8		5.7				13.1		18.8		4.5						14.3			Customer relationships	11.0	24.8		8.5		16.3		29.5		7.5		22.0

Other	Other	5.3	.3		.2				.1		.3		.1						.2			Other	12.1	2.8		.8		2.0		2.8		.5		2.3
Subtotal	Subtotal		27.3		7.9				19.4		27.3		6.1						21.2			Subtotal		40.9		12.6		28.3		50.2		11.0		39.2
Total other intangible assets	Total other intangible assets		205.2		9.0				196.2		205.2		7.0						198.2			Total other intangible assets		218.8		14.0		204.8		228.1		12.2		215.9
Total goodwill and other intangible assets	Total goodwill and other intangible assets		$	407.0	$	9.0			398.0		$	347.5	$	7.0					340.5			Total goodwill and other intangible assets		$	387.6	$	14.0	$	373.6	$	404.6	$	12.2	$	392.4
Goodwill and other intangible assets attributed to non-controlling interests							(103.4)										(91.8)
Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity							$	294.6									$	248.7

~~(1)The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been finalized as of June 30, 2022~~.

Intangible Assets Valuation Methods

The goodwill recognized for the entities shown above is attributed to expected future cash flows. The acquisition date fair values of other intangible assets with finite lives are estimated using income approach techniques, which use future expected cash flows to develop a discounted present value amount.

The multi-period-excess-earnings method estimates fair value using the present value of the incremental after-tax cash flows attributable solely to the other intangible asset over its remaining life. This approach was used to estimate the fair value of other intangible assets associated with the underwriting capacity ~~trade names,~~and customer ~~relationships and contracts and information technology.~~relationships.

The relief-from-royalty method was used to estimate fair value for other intangible assets that relate to rights that could be obtained via a license from a third-party owner. Under this method, the fair value is estimated using the present value of license fees avoided by owning rather than leasing the asset. This technique was used to estimate the fair value of ~~domain~~trade names ~~certain trademarks~~ and ~~brand names.~~

other intangible assets.

The with-or-without method estimates the fair value of other intangible assets that provide an incremental benefit. Under this method, the fair value of the other intangible asset is calculated by comparing the value of the entity with and without the other intangible asset. This approach was used to estimate the fair value of favorable lease terms.

On at least an annual basis beginning no later than the interim period included in the one-year anniversary of an acquisition, White Mountains evaluates goodwill and other intangible assets for potential impairment. Between annual evaluations, White Mountains considers changes in circumstances or events subsequent to the most recent evaluation that may indicate ~~that~~ an impairment may exist and, if necessary will perform an interim review for potential impairment.

~~The following table presents a summary of~~During the ~~acquisition date fair values of~~three and six months ended June 30, 2023 and 2022, White Mountains did not recognize any impairments to goodwill and other intangible ~~assets for acquisitions completed from January 1, 2021 through June 30, 2022:~~

~~$ in Millions~~

~~Acquisition of subsidiary/ asset~~

~~Goodwill and~~

~~Other intangible asset~~ ~~(1)~~assets.

~~Acquisition Date~~

~~Ark~~

~~292.5~~

~~January 1, 2021~~

~~Other Operations~~

~~90.5~~

~~Various~~

~~(1)~~
~~Acquisition date fair values include the effect~~

Rollforward of ~~adjustments during the measurement period~~Goodwill and ~~excludes the effect of foreign currency translation subsequent to the acquisition date.~~Other Intangible Assets

The following ~~tables present~~table presents the change in goodwill and other intangible assets for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,															Three Months Ended June 30,
		2022							2021								2023						2022
Millions	Millions	Goodwill			Other Intangible Assets		Total Goodwill and Other Intangible Assets		Goodwill			Other Intangible Assets		Total Goodwill and Other Intangible Assets		Millions	Goodwill		Other Intangible Assets		Total Goodwill and Other Intangible Assets		Goodwill			Other Intangible Assets		Total Goodwill and Other Intangible Assets
Beginning balance	Beginning balance	$	142.3		$	197.2	$	339.5	$	135.7		$	201.6	$	337.3	Beginning balance	$	168.8	$	207.4	$	376.2	$	142.3		$	197.2	$	339.5

Acquisition of businesses	Acquisition of businesses	59.5		(1)	—		59.5		15.8		(1)	—		15.8		Acquisition of businesses	—		—		—		59.5		(1)	—		59.5

Amortization	Amortization	—			(1.0)		(1.0)		—			(.5)		(.5)		Amortization	—		(2.6)		(2.6)		—			(1.0)		(1.0)

Ending balance	Ending balance	$	201.8		$	196.2	$	398.0	$	151.5		$	201.1	$	352.6	Ending balance	$	168.8	$	204.8	$	373.6	$	201.8		$	196.2	$	398.0

(1) The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been ~~finalized~~.

finalized.


		Six Months Ended June 30,															Six Months Ended June 30,
		2022							2021								2023						2022
Millions	Millions	Goodwill			Other Intangible Assets		Total Goodwill and Other Intangible Assets		Goodwill			Other Intangible Assets		Total Goodwill and Other Intangible Assets		Millions	Goodwill		Other Intangible Assets		Total Goodwill and Other Intangible Assets		Goodwill			Other Intangible Assets		Total Goodwill and Other Intangible Assets
Beginning balance	Beginning balance	$	142.3		$	198.2	$	340.5	$	19.2		$	26.4	$	45.6	Beginning balance	$	176.5	$	215.9	$	392.4	$	142.3		$	198.2	$	340.5
Ark Transaction		—			—		—		116.8			175.7		292.5
Acquisition of businesses	Acquisition of businesses	59.5		(2)	—		59.5		15.8		(2)	—		15.8		Acquisition of businesses	—		—		—		59.5		(1)	—		59.5
Dispositions (2)																Dispositions (2)	(6.7)		(6.9)		(13.6)		—			—		—

Measurement period adjustments ~~(1)~~(3)	Measurement period adjustments ~~(1)~~(3)	—			—		—		(.3)			.1		(.2)		Measurement period adjustments ~~(1)~~(3)	(1.0)		—		(1.0)		—			—		—

Amortization	Amortization	—			(2.0)		(2.0)		—			(1.1)		(1.1)		Amortization	—		(4.2)		(4.2)		—			(2.0)		(2.0)

Ending balance	Ending balance	$	201.8		$	196.2	$	398.0	$	151.5		$	201.1	$	352.6	Ending balance	$	168.8	$	204.8	$	373.6	$	201.8		$	196.2	$	398.0

(1)The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been

finalized.

(2) Relates to a disposition within Other Operations.

(3) Measurement period adjustments relate to updated information about acquisition date fair values of assets acquired and liabilities assumed. During the six months ended June 30, ~~2021,~~2023, adjustments ~~primarily~~ relate to ~~goodwill and other intangible assets of $0.2 in connection with the~~an acquisition ~~in the Other Operations segment.~~

~~(2)~~ ~~The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions~~ within Other ~~Operations had not yet been finalized~~.

Operations.

2524

Note 5. Loss and Loss Adjustment Expense Reserves

P&C Insurance and Reinsurance

The following table summarizes the loss and ~~LAE~~loss adjustment expense (“LAE”) reserve activity of ~~Ark’s insurance and reinsurance subsidiaries~~ the Ark/WM Outrigger segmentfor the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Gross beginning balance	Gross beginning balance	$	999.6	$	751.9	$	894.7	$	696.0	Gross beginning balance	$	1,345.6	$	999.6	$	1,296.5	$	894.7
Less: beginning reinsurance recoverable on unpaid losses (1)	Less: beginning reinsurance recoverable on unpaid losses (1)	(396.0)		(447.5)		(428.9)		(433.4)		Less: beginning reinsurance recoverable on unpaid losses (1)	(348.9)		(396.0)		(505.0)		(428.9)
Net loss and LAE reserves	Net loss and LAE reserves	603.6		304.4		465.8		262.6		Net loss and LAE reserves	996.7		603.6		791.5		465.8

Loss and LAE incurred relating to:	Loss and LAE incurred relating to:									Loss and LAE incurred relating to:
Current year losses	Current year losses	143.2		61.6		268.9		127.1		Current year losses	156.5		143.2		295.7		268.9
Prior year losses	Prior year losses	(22.7)		(9.0)		(26.4)		(8.5)		Prior year losses	11.0		(22.7)		19.6		(26.4)
Net incurred losses and LAE	Net incurred losses and LAE	120.5		52.6		242.5		118.6		Net incurred losses and LAE	167.5		120.5		315.3		242.5

Loss and LAE paid relating to:	Loss and LAE paid relating to:									Loss and LAE paid relating to:
Current year losses	Current year losses	(14.1)		(1.1)		(14.7)		(2.5)		Current year losses	(5.6)		(14.1)		(9.6)		(14.7)
Prior year losses	Prior year losses	(54.4)		(18.3)		(93.8)		(41.8)		Prior year losses	(103.0)		(54.4)		(190.7)		(93.8)
Net paid loss and LAE	Net paid loss and LAE	(68.5)		(19.4)		(108.5)		(44.3)		Net paid loss and LAE	(108.6)		(68.5)		(200.3)		(108.5)

Change in TPC Providers’ participation (2)	Change in TPC Providers’ participation (2)	—		—		57.5		(2.2)		Change in TPC Providers’ participation (2)	—		—		145.4		57.5
Foreign currency translation and other adjustments to loss and LAE reserves	Foreign currency translation and other adjustments to loss and LAE reserves	(9.0)		(2.9)		(10.7)		—		Foreign currency translation and other adjustments to loss and LAE reserves	2.7		(9.0)		6.4		(10.7)

Net ending balance	Net ending balance	646.6		334.7		646.6		334.7		Net ending balance	1,058.3		646.6		1,058.3		646.6
Plus: ending reinsurance recoverable on unpaid losses (3)	Plus: ending reinsurance recoverable on unpaid losses (3)	375.5		425.3		375.5		425.3		Plus: ending reinsurance recoverable on unpaid losses (3)	362.7		375.5		362.7		375.5
Gross ending balance	Gross ending balance	$	1,022.1	$	760.0	$	1,022.1	$	760.0	Gross ending balance	$	1,421.0	$	1,022.1	$	1,421.0	$	1,022.1

(1) The beginning reinsurance recoverable on unpaid losses includes amounts attributable to TPC Providers of ~~$207.3~~$0.0 and ~~$331.0~~$207.3 for the three months ended June 30, 2023 and 2022 and ~~2021~~$145.4 and $276.8 ~~and $319.2~~ for the six months ended June 30, ~~2022~~2023 and ~~2021.~~2022.

(2) Amount represents the impact to net loss and LAE reserves due to a change in the TPC Providers’ participation related to the annual reinsurance to close ~~(“RITC”)~~ process.

(3) The ending reinsurance recoverable on unpaid losses includes amounts attributable to TPC Providers of ~~$182.4~~$0.0 and ~~$314.6~~$182.4 as of June 30, ~~2022~~2023 and ~~2021.~~2022.

For the three and six months ended June 30, 2023, the Ark/WM Outrigger segment recognized $11.0 million and $19.6 million of net unfavorable prior year loss reserve development at Ark, driven primarily by Winter Storm Elliot and three large claims in the property and marine & energy lines of business. For the three and six months ended June 30, 2022, ~~Ark~~the Ark/WM Outrigger segment recognized $22.7 million and $26.4 million of net favorable prior year loss reserve ~~development. Ark’s net favorable prior year loss reserve~~ development ~~in 2022 was~~at Ark, driven primarily by the property and ~~accident & health and~~ specialty ~~reserving~~ lines of business, including favorable claims experience on prior year catastrophe events in the second quarter. For the three and six months ended June 30, 2021, Ark recognized $9.0 million and $8.5 million of net favorable prior year loss reserve development. Ark’s net favorable prior year loss reserve development in 2021, primarily related to property and accident & health and marine & energy reserving lines of business.

~~TPC Providers’ Participation~~

Impact of Third-Party Capital

2625

~~An RITC~~A reinsurance to close (“RITC”) agreement is generally put in place after the third year of operations for a year of account such that the outstanding loss and LAE reserves, including future development thereon, are reinsured into the next year of account. As a result, and in combination with the changing participation provided by TPC Providers, Ark’s participation on outstanding loss and LAE reserves reinsured into the next year of account may change, perhaps significantly. During the first quarter of 2023, an RITC agreement was executed such that the outstanding loss and LAE reserves for claims arising out of the 2020 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 42.8%, were reinsured into the 2021 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 0.0%. During the first quarter of 2022, an RITC agreement was executed such that the outstanding loss and LAE reserves for claims arising out of the 2019 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 58.3%, were reinsured into the 2020 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates iswas 42.8%. During the first quarter of 2021, an RITC was executed such that the outstanding loss and LAE reserves for claims arising out of the 2018 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 57.6%, were reinsured into the 2019 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 58.3%.

Municipal Bond Guarantee Insurance

HG Re and BAM do not have any outstanding loss and LAE reserves related to BAM’s municipal bond guarantee insurance business.

Note 6. Third-Party Reinsurance

P&C Insurance and Reinsurance

In the normal course of business, Ark may seek to limit losses that may arise from catastrophes or other events by reinsuring certain risks with third-party reinsurers. Ark remains liable for risks reinsured in the event that the reinsurer does not honor its obligations under reinsurance contracts.

The following table summarizes the effects of reinsurance on written and earned premiums and on losses and LAE for ~~Ark~~the Ark/WM Outrigger segment for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	Three Months Ended June 30,					Six Months Ended June 30,
											2023			2022		2023			2022
Written premiums:	Written premiums:									Written premiums:
Direct										Direct	$	291.5		$	214.3	$	537.7		$	445.2
Assumed										Assumed	314.6			189.6		877.8			591.8
Gross written premiums										Gross written premiums	606.1			403.9		1,415.5			1,037.0
Ceded										Ceded	(144.9)		(1)	(133.7)		(340.1)		(1)	(223.0)
Net written premiums										Net written premiums	$	461.2		$	270.2	$	1,075.4		$	814.0
Earned premiums:										Earned premiums:
Direct										Direct	$	200.6		$	160.7	$	351.0		$	299.4
Assumed										Assumed	152.5			105.7		314.6			212.3
Gross earned premiums										Gross earned premiums	353.1			266.4		665.6			511.7
Ceded										Ceded	(59.8)		(2)	(49.1)		(117.2)		(2)	(100.0)
Net earned premiums										Net earned premiums	$	293.3		$	217.3	$	548.4		$	411.7
Losses and LAE:										Losses and LAE:
Gross	Gross	$	403.9	$	328.1	$	1,037.0	$	732.6	Gross	$	195.8		$	138.4	$	358.2		$	321.5

Ceded	Ceded	(133.7)		(65.9)		(223.0)		(128.0)		Ceded	(28.3)		(3)	(17.9)		(42.9)		(3)	(79.0)
Net written premiums		$	270.2	$	262.2	$	814.0	$	604.6
Earned premiums:
Gross		$	266.4	$	174.9	$	511.7	$	337.5

Ceded		(49.1)		(57.1)		(100.0)		(115.1)
Net earned premiums		$	217.3	$	117.8	$	411.7	$	222.4
Losses and loss adjustment expenses:
Gross		$	138.4	$	63.6	$	321.5	$	179.2

Ceded		(17.9)		(11.0)		(79.0)		(60.6)
Net losses and loss adjustment expenses		$	120.5	$	52.6	$	242.5	$	118.6
Net losses and LAE										Net losses and LAE	$	167.5		$	120.5	$	315.3		$	242.5

(1) The ceded written premiums exclude $58.3 and $102.4 ceded by Ark to WM Outrigger Re for the three and six months ended June 30, 2023, which eliminate in White Mountains’s consolidated financial statements.

(2) The ceded earned premiums exclude $9.6 and $14.8 ceded by Ark to WM Outrigger Re for the three months and six ended June 30, 2023, which eliminate in White Mountains’s consolidated financial statements.

(3) The ceded loss and LAE exclude $0.4 and $0.6 ceded by Ark to WM Outrigger Re for the three months and six ended June 30, 2023, which eliminate in White Mountains’s consolidated financial statements.

The following table presents the Ark/WM Outrigger segment’s reinsurance recoverables as of June 30, ~~2022, Ark had $375.5 million~~2023 and ~~$23.2 million of~~December 31, 2022:


Millions	June 30, 2023			December 31, 2022
Reinsurance recoverables on unpaid losses	$	362.7	(1)	$	505.0	(3)
Reinsurance recoverables on paid losses	23.3			31.1
Ceded unearned premiums	283.7		(2)	59.2
Reinsurance recoverables	$	669.7		$	595.3

(1) The reinsurance recoverables on unpaid ~~and paid losses. As~~losses exclude $0.6 ceded by Ark to WM Outrigger Re as of June 30, ~~2021,~~2023, which eliminate in White Mountains’s consolidated financial statements.

(2) The ceded unearned premiums exclude $87.6 ceded by Ark ~~had $425.3 million and $6.0 million~~to WM Outrigger Re as of June 30, 2023, which eliminate in White Mountains’s consolidated financial statements.

(3) The reinsurance recoverables on unpaid ~~and paid losses.~~ losses include $145.4 attributable to TPC Providers as of December 31, 2022, which are collateralized.

As reinsurance contracts do not relieve Ark of its obligation to its policyholders, Ark seeks to reduce the credit risk associated with reinsurance balances by avoiding over-reliance on specific reinsurers through the application of concentration limits and thresholds. Ark is selective with its reinsurers, placing reinsurance with only those reinsurers having a strong financial condition. Ark monitors the financial strength of its reinsurers on an ongoing basis.

As of June 30, 2022, Ark’s reinsurance recoverables of $398.7 million included $182.4 million attributable to TPC Providers, which are collateralized. As of June 30, 2021, Ark’s reinsurance recoverables of $431.3 million included $314.6 million related to TPC Providers, which are collateralized.

The following table ~~provides a listing of Ark’s remaining~~presents the Ark/WM Outrigger segment’s gross and net reinsurance recoverables ~~excluding amounts attributable to TPC Providers,~~ by the reinsurer’s A.M. Best Company, Inc (“A.M. Best”) ~~rating and the percentage of total recoverables~~ratings as of June 30, ~~2022:~~2023:


$ in Millions	$ in Millions	As of June 30, 2022								$ in Millions	As of June 30, 2023
A.M. Best Rating(1)	A.M. Best Rating(1)	Gross		Collateral		Net		% of Total		A.M. Best Rating(1)	Gross			Collateral			Net		% of Total
A+ or better	A+ or better	$	126.8	$	.7	$	126.1	60.2	%	A+ or better	$	197.5		$	—		$	197.5	69.2	%
A- to A	A- to A	51.9		$	—	51.9		24.7		A- to A	78.3			—			78.3		27.4
B++ or lower and not rated	B++ or lower and not rated	37.6		5.9		31.7		15.1		B++ or lower and not rated	110.2		(2)	100.5		(2)	9.7		3.4
Total	Total	$	216.3	$	6.6	$	209.7	100.0	%	Total	$	386.0		$	100.5		$	285.5	100.0	%

(1) A.M. Best ratings as detailed above are: “A+ or better” (Superior) “A- to A” (Excellent), “B++” (Good).

~~See~~ (2)~~Note 10 — “Municipal Bond Guarantee Insurance”~~ ~~for third-party reinsurance balances related~~ Excludes $0.6 ceded by Ark to WM Outrigger Re as of June 30, 2023, which eliminates in White Mountains’s consolidated financial ~~guarantee business.~~statements.

Reinsurance Contracts Accounted for as Deposits

Ark has an aggregate excess of loss contract with SiriusPoint Ltd. (“SiriusPoint”), which is accounted for using the deposit method and recorded within other assets. Ark earns an annual crediting rate of 3.0%, which is recorded within other revenue. ~~During the fourth quarter of 2021, Ark negotiated a reduction of $31.7 million, including accrued interest, to the aggregate excess of loss contract with SiriusPoint.~~ As of June 30, 2023 and December 31, 2022, the carrying value of Ark’s deposit in SiriusPoint, including accrued interest, was $20.1 million and $20.4 million.

Municipal Bond Guarantee Insurance

See Note 10 — “Municipal Bond Guarantee Insurance” for third-party reinsurance balances and reinsurance contracts accounted for as deposits related to White Mountains’s financial guarantee business.

Note 7. Debt

The following table presents White Mountains’s debt outstanding as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


$ in Millions	$ in Millions	June 30, 2022		Effective Rate	(1)	December 31, 2021		Effective Rate	(1)	$ in Millions	June 30, 2023		Effective Rate	(1)	December 31, 2022		Effective Rate	(1)

HG Global Senior Notes	HG Global Senior Notes	$	150.0	7.6%		$	—	N/A		HG Global Senior Notes	$	150.0	11.5%		$	150.0	8.9%
Unamortized discount and issuance cost	Unamortized discount and issuance cost	(3.7)				—				Unamortized discount and issuance cost	(3.3)				(3.5)
HG Global Senior Notes, carrying value	HG Global Senior Notes, carrying value	146.3				—				HG Global Senior Notes, carrying value	146.7				146.5
Ark 2007 Subordinated Notes, carrying value	Ark 2007 Subordinated Notes, carrying value	30.0				30.0				Ark 2007 Subordinated Notes, carrying value	30.0				30.0

Ark 2021 Notes Tranche 1		41.5				44.2
Ark 2021 Notes Tranche 2		47.0				47.0
Ark 2021 Notes Tranche 3		70.0				70.0
Ark 2021 Subordinated Notes Tranche 1										Ark 2021 Subordinated Notes Tranche 1	42.6				41.3
Ark 2021 Subordinated Notes Tranche 2										Ark 2021 Subordinated Notes Tranche 2	47.0				47.0
Ark 2021 Subordinated Notes Tranche 3										Ark 2021 Subordinated Notes Tranche 3	70.0				70.0
Unamortized issuance cost	Unamortized issuance cost	(5.0)				(5.3)				Unamortized issuance cost	(4.5)				(4.6)
Ark 2021 Subordinated Notes, carrying value	Ark 2021 Subordinated Notes, carrying value	153.5				155.9				Ark 2021 Subordinated Notes, carrying value	155.1				153.7
Total Ark Subordinated Notes, carrying value	Total Ark Subordinated Notes, carrying value	183.5		6.8%		185.9		6.9%		Total Ark Subordinated Notes, carrying value	185.1		10.5%		183.7		7.6%
Kudu Credit Facility	Kudu Credit Facility	260.4		5.1%		225.4		4.3%		Kudu Credit Facility	210.3		9.6%		215.2		6.1%
Unamortized issuance cost	Unamortized issuance cost	(7.1)				(7.2)				Unamortized issuance cost	(6.6)				(6.9)
Kudu Credit Facility, carrying value	Kudu Credit Facility, carrying value	253.3				218.2				Kudu Credit Facility, carrying value	203.7				208.3

Other Operations debt	Other Operations debt	35.7		7.4%		17.1		7.5%		Other Operations debt	31.2		9.1%		37.4		6.6%
Unamortized issuance cost	Unamortized issuance cost	(.7)				(.3)				Unamortized issuance cost	(.6)				(.7)
Other Operations debt, carrying value	Other Operations debt, carrying value	35.0				16.8				Other Operations debt, carrying value	30.6				36.7
Total debt	Total debt	$	618.1			$	420.9			Total debt	$	566.1			$	575.2

(1) Effective rate includes the effect of the amortization of debt issuance ~~costs.~~costs and, where applicable, the original issue discount.

HG Global Senior Notes

On April 29, 2022, HG Global received the proceeds from the issuance of its $150.0 million face value floating rate secured senior notes (the “HG Global Senior Notes”). The HG Global Senior Notes, which mature in April 2032, accrue interest at a floating rate equal to the three-month Secured Overnight Financing Rate (“SOFR”) plus 6.3% per annum. Subsequent to the five-year anniversary of the funding date, absent the occurrence of an early amortization trigger event, HG Global will be required to make payments of principal on a quarterly basis totaling $15.0 million annually. Upon the occurrence of an early amortization trigger event, HG Global is required to use all available cash flow to repay the notes. Early amortization trigger events include scenarios in which HG Re is effectively in ~~run off.~~runoff. HG Global has the option to redeem, in whole or in part, the HG Global Senior Notes after the five-year anniversary of the funding date at the outstanding principal ~~amounts~~amount plus accrued interest.

On June 16, 2022, HG entered into an interest rate cap agreement, effective on July 25, 2022, to limit its exposure to the risk of interest rate increases on the HG Global Senior Notes. The notional amount of the interest rate cap is $150.0 million and the termination date is July 25, 2025. See Note 9— “Derivatives.”

The HG Global Senior Notes require HG Global to maintain an interest reserve account of eight times the interest accrued for the most recent quarterly interest period up to a maximum required balance of $29.2 million. As of June 30, 2023, the fair value of the interest reserve account, which is included in short-term ~~investments. As of June 30, 2022, the interest reserve account is $22.0~~investments, was $29.7 million.

The HG Global Senior Notes are secured by the capital stock and other equity interests of HG Global’s subsidiaries, the interest reserve account, and all cash and non-cash proceeds from ~~the foregoing~~such collateral. The HG Global Senior Notes contain various affirmative and negative covenants that White Mountains considers to be customary for such borrowings.

If the ~~payments~~payment of principal and interest under the HG Global Senior Notes ~~become~~becomes subject to tax withholding on behalf of a relevant governmental authority for certain indemnified taxes, the HG Global Senior Notes require the payment of additional amounts such that the amount received by the noteholders is the same as would have been received absent the tax withholding being imposed. The HG Global Senior Notes require the payment of additional interest of 1.0% per annum if the HG Global Senior Notes receive a non-investment grade rating or are no longer rated. As of June 30, 2023, the HG Global Senior Notes had an investment grade rating.

As of June 30, ~~2022,~~2023, the HG Global Senior Notes had an outstanding ~~principal~~ balance of $150.0 million.

Ark Subordinated Notes

In March 2007, GAIL issued $30.0 million face value of floating rate unsecured junior subordinated deferrable interest notes to Alesco Preferred Funding XII Ltd., Alesco Preferred Funding XIII Ltd. and Alesco Preferred Funding XIV Ltd (the “Ark 2007 Subordinated Notes”). The Ark 2007 Subordinated Notes, which mature in June 2037, accrue interest at a floating rate equal to the three-month U.S. London Inter-Bank Offered Rate (“LIBOR”) plus 4.6% per annum. As of June 30, ~~2022,~~2023, the Ark 2007 Subordinated Notes had an outstanding ~~principal~~ balance of $30.0 million.

In the third quarter of 2021, GAIL issued $163.3 million face value floating rate unsecured subordinated notes at par in three separate transactions for proceeds of $157.8 million, net of debt issuance ~~costs. The unsecured subordinated notes (the~~costs (collectively, the “Ark 2021 Subordinated Notes”). The Ark 2021 Subordinated Notes were issued in private placement offerings that were exempt from the registration requirements of the Securities Act of 1933. On July 13, 2021, Ark issued €39.1 million ($46.3 million based upon the foreign exchange spot rate as of the date of the transaction) face value floating rate unsecured subordinated notes (“Ark 2021 Subordinated Notes Tranche 1”). The Ark 2021 Subordinated Notes Tranche 1, which mature in July 2041, accrue interest at a floating rate equal to the three-month ~~EURIBOR~~Euro Interbank Offered Rate (“EURIBOR”) plus 5.75% per annum. On August 11, 2021, Ark issued $47.0 million face value floating rate unsecured subordinated notes (“Ark 2021 Subordinated Notes Tranche 2”). The Ark 2021 Subordinated Notes Tranche 2, which mature in August 2041, accrue interest at a floating rate equal to the three-month U.S. LIBOR plus 5.75% per annum. On September 8, 2021, Ark issued $70.0 million face value floating rate unsecured subordinated notes (“Ark 2021 Subordinated Notes Tranche 3”). The Ark 2021 Subordinated Notes Tranche 3, which mature in September 2041, accrue interest at a floating rate equal to the three-month U.S. LIBOR plus 6.1% per annum. On the ten-year anniversary of the issue dates, the interest rate for the Ark 2021 Subordinated Notes will increase by 1.0% per annum. Ark has the option to redeem, in whole or in part, the Ark 2021 Subordinated Notes ahead of contractual maturity at the outstanding principal amounts plus accrued interest at the ten-year anniversary or any subsequent interest payment date.

All payments of principal and interest under the Ark 2021 Subordinated Notes are conditional upon GAIL’s solvency and compliance with the enhanced capital requirements of the Bermuda Monetary Authority (“BMA”). The deferral of payments of principal and interest under these conditions does not constitute a default by Ark and does not give the noteholders any rights to accelerate repayment of the Ark 2021 Subordinated Notes or take any enforcement action under the Ark 2021 Subordinated Notes.

If the payments of principal and interest under the Ark 2021 Subordinated Notes become subject to tax withholding on behalf of Bermuda or any political subdivision there, the Ark 2021 Subordinated Notes require the payment of additional amounts such that the amount received by the noteholders is the same as would have been received absent the tax withholding being imposed. The Ark 2021 Subordinated Notes Tranche 3 require the payment of additional interest of 1.0% per annum upon the occurrence of a premium load event until such event is remedied. Premium load events include the failure to meet payment obligations of the Ark 2021 Subordinated Notes Tranche 3 when due, failure of GAIL to maintain an investment grade credit rating, failure to maintain 120% of GAIL’s Bermuda solvency capital requirement, failure of GAIL to maintain a debt to capital ratio below 40%, late filing of GAIL’s or Ark’s financial information, and making a restricted payment or distribution on GAIL’s common stock or other securities that rank junior or pari passu with the Ark 2021 Subordinated Notes Tranche 3 when a different premium load event exists or will be caused by the restricted payment. As of June 30, 2023, there were no premium load events.

As of June 30, ~~2022,~~2023, the Ark 2021 Subordinated Notes Tranche 1 had an outstanding ~~principal~~ balance of €39.1 million ($~~41.5~~42.6 million based upon the foreign exchange spot rate as of June 30, ~~2022)~~2023), the Ark 2021 Subordinated Notes Tranche 2 had an outstanding ~~principal~~ balance of $47.0 million, and the Ark 2021 Subordinated Notes Tranche 3 had an outstanding ~~principal~~ balance of $70.0 million.

The Ark Subordinated Notes contain various affirmative and negative covenants that White Mountains considers to be customary for such borrowings.

Ark Standby Letter of Credit Facilities

In December 2021, Ark entered into two uncommitted secured standby letter of credit facility agreements to support the continued growth and expansion of its GAIL insurance and reinsurance operations. The standby letter of credit facility agreements were executed with ING Bank N.V., London Branch (the “ING LOC Facility”) with capacity of $50.0 million on an uncollateralized basis and with Citibank Europe Plc (the “Citibank LOC Facility”) with capacity of $100.0 million on a collateralized basis. In September 2022, Ark entered into an additional uncommitted standby letter of credit facility agreement with Lloyds Bank Corporate Markets PLC (the “Lloyds LOC Facility”) with capacity of $50.0 million on a collateralized basis.

As of June 30, ~~2022,~~2023, the ING LOC Facility was undrawn. As of June 30, ~~2022,~~2023, the Citibank LOC Facility had an outstanding ~~principal~~ balance of ~~$36.2~~$93.7 million and short-term investments pledged as collateral of $107.4 million. As of June 30, ~~2022, $49.8~~2023, the Lloyds LOC Facility had an outstanding balance of $35.0 million ofand short-term investments ~~were~~ pledged as collateral ~~under the Citibank LOC Facility.~~of $38.1 million. Ark’s uncommitted secured standby letter of credit facility agreements contain various representations, warranties and covenants that White Mountains considers to be customary for such borrowings.

Kudu Credit ~~Facility and Kudu Bank~~ Facility

On ~~December 23, 2019, Kudu entered into a secured credit facility with Monroe Capital Management Advisors, LLC (the “Kudu Bank Facility”). On~~ March 23, 2021, Kudu ~~replaced the Kudu Bank Facility and~~ entered into a secured revolving credit facility (the “Kudu Credit Facility”) with Mass Mutual to repay ~~the Kudu Bank Facility,~~its prior credit facility and to fund new investments and related transaction expenses. The maximum borrowing capacity of the Kudu Credit Facility is $300.0 million. The Kudu Credit Facility matures on March 23, 2036. ~~In connection with~~

Through June 30, 2023, interest on the ~~replacement~~Kudu Credit Facility accrued at a floating interest rate equal to the greater of the three month LIBOR or 0.25% plus, in each case, 4.30%. Effective July 1, 2023, the Kudu ~~Bank~~Credit Facility ~~Kudu recognized~~was amended such that the interest rate is equal to the three month Secured Overnight Financing Rate (“SOFR”) plus a ~~total loss~~credit adjustment spread of ~~$4.1 million, representing debt issuance costs~~0.26% and ~~prepayment fees, which are included within interest expense for the year to date period ended June 30, 2021.~~

a stated margin of 4.30%. The Kudu Credit Facility requires Kudu to maintain an interest reserve account, which is included in restricted cash. As of June 30, ~~2022,~~2023, the interest reserve account ~~is $7.3~~had a balance of $13.4 million. The Kudu Credit Facility requires Kudu to maintain a ratio of the outstanding balance to the sum of the fair market value of ~~the participation contracts~~Kudu’s Participation Contracts and cash held in certain accounts (the “LTV Percentage”) of less than 50% in years 0-3, 40% in years 4-6, 25% in years 7-8, 15% in years 9-10, and 0% thereafter. As of June 30, ~~2022,~~2023, Kudu ~~has~~had a ~~34.1%~~27.9% LTV Percentage.

Kudu may borrow undrawn balances within the initial three-year availability period, subject to customary terms and conditions, to the extent the amount borrowed under the Kudu Credit Facility does not exceed the borrowing base, which is equal to 35% of the fair value of Kudu’s qualifying ~~Kudu~~ Participation Contracts. AsWhen considering the fair value of Kudu’s qualifying Participation Contracts as of June 30, ~~2022,~~2023, the available undrawn balance was ~~$27.8~~$59.7 million.

The following table presents the change in debt under the Kudu ~~Bank Facility and Kudu~~ Credit Facility for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Kudu Bank Facility
Beginning balance		$	—	$	—	$	—	$	89.2
Term loans
Borrowings		—		—		—		3.0
Repayments		—		—		—		(92.2)
Ending balance		$	—	$	—	$	—	$	—

Kudu Credit Facility	Kudu Credit Facility									Kudu Credit Facility
Beginning balance	Beginning balance	$	225.4	$	102.0	$	225.4	$	—	Beginning balance	$	198.3	$	225.4	$	215.2	$	225.4
Term loans	Term loans									Term loans
Borrowings	Borrowings	35.0		—		35.0		102.0		Borrowings	12.0		35.0		12.0		35.0
Repayments	Repayments	—		—		—		—		Repayments	—		—		(16.9)		—
Ending balance	Ending balance	$	260.4	$	102.0	$	260.4	$	102.0	Ending balance	$	210.3	$	260.4	$	210.3	$	260.4

The Kudu Credit Facility is secured by all property of the loan parties and contains various affirmative and negative covenants that White Mountains considers to be customary for such borrowings.

Other Operations Debt

As of June 30, ~~2022, debt in~~2023, White Mountains’s Other Operations ~~segment~~had debt with an outstanding balance of $31.2 million, which consisted of 5four secured credit facilities (collectively, “Other Operations debt”).

The first credit facility has a maximum borrowing capacity of $16.3 million, which is comprised of a term loan of $11.3 million, a delayed-draw term loan of $3.0 million and a revolving credit loan commitment of $2.0 million, all with a maturity date of March 12, 2024. The second credit facility has a maximum borrowing capacity of $15.0 million, which is comprised of a term loan of $9.0 million, a delayed-draw term loan of $4.0 million and a revolving credit loan commitment of $2.0 million, all with a maturity date of July 2, 2025. The third credit facility has a maximum borrowing capacity of $8.0 million, which is comprised of a revolving credit loan commitment, with a maturity date of December 9, 2026. The fourth credit facility has a maximum borrowing capacity of $11.5 million, which is comprised of a revolving credit loan commitment, with a maturity date of April 7, 2027. The fifth credit facility has a maximum borrowing capacity of $11.5 million, which is comprised of a revolving credit loan commitment, with a maturity date of May 31, 2027.

During the three months ended and six months ended June 30, 2022, White Mountains’s Other Operations segment borrowed $19.0 million and $21.0 million. During the three and six months ended June 30, 2022, White Mountains’s Other Operations segment made repayments of $1.1 million and $2.4 million. During the three and six months ended June 30, 2021, White Mountains’s Other Operations segment had no borrowings. During the three and six months ended June 30, 2021, White Mountains’s Other Operation segment made repayments of $0.2 million and $0.4 million on the term loans, under the second credit facility. As of June 30, 2022 and December 31, 2021, the White Mountains’s Other Operations segment debt had an outstanding principal balance of $35.7 million and $17.1 million.

Compliance

At June 30, ~~2022,~~2023, White Mountains was in compliance, in all material respects, with all of the covenants under ~~all of~~ its debt instruments.

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Note 8. Income Taxes

The Company and its Bermuda domiciled subsidiaries are not subject to Bermuda income tax under current Bermuda law. In the event there is a change in the current law such that taxes are imposed, the Bermuda Exempted Undertakings Tax Protection Act of 1966 states that the Company and its Bermuda domiciled subsidiaries would be exempt from such tax until March 31, 2035. The Company has subsidiaries and branches that operate in various other jurisdictions around the world and are subject to tax in the jurisdictions in which they operate. As of June 30, ~~2022,~~2023, the primary jurisdictions in which the Company’s subsidiaries and branches were subject to tax ~~were~~include Ireland, Israel, Luxembourg, the United Kingdom and the United States.

White Mountains’s income tax expense related to pre-tax income from continuing operations for the three and six months ended June 30, 2023 represented an effective tax rate of 1.1% and 5.6%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States.

White Mountains’s income tax benefit related to pre-tax loss from continuing operations for the three and six months ended June 30, 2022 represented an effective tax rate of 6.9% and 7.6%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by aan increase in the full valuation allowance on net deferred tax assets in certain U.S. operations ~~consisting of the WM Adams, Inc. consolidated tax group~~ within ~~the~~ Other Operations, ~~segment, and~~an increase in the full valuation allowance at BAM, ~~and~~as well as state income taxes.

~~White Mountains’s income tax expense related to pre-tax income from continuing operations for~~On April 1, 2023, the three months ended June 30, 2021 represented an effective tax rate of 18.6%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by additional tax expense related to the revaluation of U.K. ~~deferred tax assets and liabilities. On June 10, 2021, the U.K. enacted an increase in its~~ corporate tax rate increased from 19.0% to 25.0% ~~for periods after April 1, 2023.~~ .

On ~~June 30, 2021,~~August 16, 2022, the U.S. enacted the Inflation Reduction Act (the “IRA”). White Mountains ~~increased its net U.K. deferred~~has evaluated the tax ~~liability to reflect~~provisions of the ~~higher tax rate on temporary differences projected to reverse after~~IRA, the ~~new rate becomes effective.~~

~~White Mountains’s income tax expense related to pre-tax income from continuing operations for the six months ended June 30, 2021 represented an effective tax rate~~most significant of ~~42.1%. The effective tax rate was different from the U.S. statutory rate of 21.0%, driven primarily by the additional tax expense related~~which relate to the ~~revaluation~~corporate alternative minimum tax and the tax on share repurchases, and does not expect the legislation to have a material impact on the results of ~~U.K. deferred tax assets and liabilities in relation to White Mountains’s pre-tax income in the first six months of 2021.~~its operations.

In arriving at the effective tax rate for the three and six months ended June 30, ~~2022~~2023 and ~~2021,~~2022, White Mountains forecasted all income and expense items including the change in unrealized investment gains (losses) and realized investment gains (losses) for the years ending December 31, ~~2022~~2023 and ~~2021.~~2022.

White Mountains records a valuation allowance against deferred tax assets if it becomes more likely than not that all or a portion of a deferred tax asset will not be realized. Changes in valuation allowances from period to period are included in income tax expense in the period of change. In determining whether or not a valuation allowance, or change therein, is warranted, White Mountains considers factors such as prior earnings history, expected future earnings, carryback and carryforward periods and strategies that if executed would result in the realization of a deferred tax asset.

With few exceptions, White Mountains is no longer subject to U.S. federal, state, or non-U.S. income tax examinations by tax authorities for years before ~~2016.~~2017.

Note 9. Derivatives

HG Global Interest Rate Cap

HG paid initial premiums of $3.3 million for the interest rate cap. Under the terms of the interest rate cap agreement, if the current three-month SOFR rate at the measurement date exceeds 3.5%, HG will receive payments from the counterparty equal to the difference between the three-month SOFR rate on the determination date and 3.5%, multiplied by the notional amount of the cap based on the number of days in the ~~quarter and a year equal to 360 days.~~quarter. As of June 30, ~~2022,~~2023, the three-month SOFR rate was ~~2.1%~~5.3%.

HG accounts for the interest rate cap as a derivative at fair value, with changes in fair value recognized in current period earnings within interest expense. For the three and six months ended June 30, 2023, White Mountains recognized a gain of $1.4 million and $0.7 million related to the change in fair value on the interest rate cap within interest expense. For the three and six months ended June 30, 2022, White Mountains recognized a loss of $1.5 million related to the change in fair value on the interest rate ~~cap within~~cap. For the three and six months ended June 30, 2023, White Mountains received a payment of $0.4 million and $0.6 million related to the periodic settlement of the interest ~~expense.~~rate cap. As of June 30, 2023 and December 31, 2022, the estimated fair value of the interest rate cap recorded in other assets was ~~$1.8~~$4.8 million and $4.1 million. White Mountains classifies the interest rate cap as a Level 2 measurement.

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Note 10. Municipal Bond Guarantee Insurance

HG Global was established to fund the startup of BAM, a mutual municipal bond insurer. HG Global, together with its subsidiaries, provided the initial capitalization of BAM through the purchase of $503.0 million of the BAM Surplus Notes.

Reinsurance Treaties

FLRT

BAM is a party to a first loss reinsurance treaty (“FLRT”) with HG Re under which HG Re provides first loss protection up to 15%-of-par outstanding on each municipal bond insured by BAM. For capital appreciation bonds, par is adjusted to the estimated equivalent par value for current interest paying bonds. In return, BAM cedes ~~up to~~approximately 60% of the risk premium charged for insuring the municipal bond, which is net of a ceding commission. The FLRT is a perpetual agreement with terms that can be renegotiated after a specified period of time. During 2021, BAM and HG Re agreed that the terms may be renegotiated at the end of 2024, and each subsequent five-year period thereafter.

Fidus Re

BAM is party to a collateralized financial guarantee excess of loss reinsurance agreement that serves to increase BAM’s claims paying resources and is provided by Fidus Re Ltd. (“Fidus Re”).

In 2018, Fidus Re was initially capitalized by the issuance of $100.0 million of insurance-linked securities (the “Fidus Re 2018 Agreement”)., which have an initial term of 12 years and are callable five years after the date of issuance. The proceeds from issuance were placed in a collateral trust supporting Fidus Re’s obligations to BAM. ~~The insurance-linked securities were issued by Fidus Re with an initial term of 12 years and are callable five years after the date of issuance.~~ Under the Fidus Re 2018 Agreement, Fidus Re reinsures 90% of aggregate losses exceeding $165.0 million on a portion of BAM’s financial guarantee portfolio (the “2018 Covered Portfolio”) up to a total reimbursement of $100.0 million. The Fidus Re 2018 Agreement does not provide coverage for losses in excess of $276.1 million. The 2018 Covered Portfolio consists of approximately ~~29%~~26% of BAM’s ~~portfolio~~gross par outstanding as of ~~financial guaranty policies issued through~~ June 30, ~~2022.~~2023.

In ~~the first quarter of~~ 2021, Fidus Re issued an additional $150.0 million of insurance-linked securities (the “Fidus Re 2021 Agreement”) ~~with~~, which have an initial term of 12 years and are callable five years after the date of issuance. The proceeds from issuance were placed in a collateral trust supporting Fidus Re’s obligations to BAM. Under the Fidus Re 2021 Agreement, Fidus Re reinsures 90% of aggregate losses exceeding $135.0 million on a portion of BAM’s financial guarantee portfolio (the “2021 Covered Portfolio”) up to a total reimbursement of $150.0 million. The Fidus Re 2021 Agreement does not provide coverage for losses in excess of $301.7 million. The 2021 Covered Portfolio consists of approximately ~~34%~~30% of BAM’s ~~portfolio~~gross par outstanding as of ~~financial guaranty policies issued through~~ June 30, ~~2022.~~2023.

In 2022, Fidus Re issued an additional $150.0 million of insurance linked securities (the “Fidus Re 2022 Agreement”), which have an initial term of 12 years and are callable seven years after the date of issuance. The proceeds from issuance were placed in a collateral trust supporting Fidus Re’s obligations to BAM. Under the Fidus Re 2022 Agreement, Fidus Re reinsures 90% of aggregate losses exceeding $110.0 million on a portion of BAM’s financial guarantee portfolio (the “2022 Covered Portfolio”) up to a total reimbursement of $150.0 million. The Fidus Re 2022 Agreement does not provide coverage for losses in excess of $276.7 million. The 2022 Covered Portfolio consists of approximately 31% of BAM’s gross par outstanding as of June 30, 2023.

The Fidus Re agreements are accounted for using deposit accounting and any related financing expenses are recorded in general and administrative expenses as they do not meet the risk transfer requirements necessary to be accounted for as reinsurance.

XOLT

In January 2020, BAM entered into an excess of loss reinsurance agreement (the “XOLT”) with HG Re. Under the XOLT, HG Re provides last dollar protection for exposures on municipal bonds insured by BAM in excess of the New York State Department of Financial Services (“NYDFS”) single issuer limits. ~~The~~As of June 30, 2023, the XOLT is subject to an aggregate limit equal to the lesser of ~~$75.0~~$125.0 million or the assets held in the supplemental collateral trust (the “Supplemental Trust”) at any point in time. The agreement is accounted for using deposit accounting and any related financing expenses are recorded in general and administrative expenses as the agreement does not meet the risk transfer requirements necessary to be accounted for as reinsurance.

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Collateral Trusts

HG Re’s obligations under the FLRT are ~~limited to the assets in two collateral trusts: the Supplemental Trust and a Regulation 114 Trust (together, the “Collateral Trusts”). Losses required to be reimbursed under the FLRT are~~ subject to an aggregate limit equal to the assets ~~held~~ in two collateral trusts, the ~~Collateral Trusts~~Supplemental Trust and the Regulation 114 Trust (together, the “Collateral Trusts”), at any point in time.

On a monthly basis, BAM deposits cash equal to ceded premiums, net of ceding commissions, due to HG Re under the FLRT directly into the Regulation 114 Trust. The Regulation 114 Trust target balance is equal to ~~gross ceded~~HG Re’s unearned premiums and unpaid ~~ceded~~ loss and LAE reserves, if any. If, at the end of any quarter, the Regulation 114 Trust balance is below the target balance, funds will be withdrawn from the Supplemental Trust and deposited into the Regulation 114 Trust in an amount equal to the shortfall. If, at the end of any quarter, the Regulation 114 Trust balance is above 102% of the target balance, funds will be withdrawn from the Regulation 114 Trust and deposited into the Supplemental Trust. The Regulation 114 Trust balance as of June 30, ~~2022~~2023 and December 31, ~~2021~~2022 was ~~$253.6~~$306.8 million and ~~$250.2~~$288.6 million.

The Supplemental Trust target balance is $603.0 million, less the amount of cash and securities in the Regulation 114 Trust in excess of its target balance (the “Supplemental Trust Target Balance”). If, at the end of any quarter, the Supplemental Trust balance exceeds the Supplemental Trust Target Balance, such excess may be distributed to HG Re. The distribution will be made first as an assignment of accrued interest on the BAM Surplus Notes and second in cash and/or fixed income securities.

As the BAM Surplus Notes are repaid over time, the BAM Surplus Notes will be replaced in the Supplemental Trust by cash and fixed income securities. The Supplemental Trust balance as of June 30, ~~2022~~2023 and December 31, ~~2021~~2022 was ~~$583.6~~$585.6 million and ~~$601.8~~$568.3 million.

As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, the Collateral Trusts held assets of ~~$837.2~~$892.4 million and ~~$852.0~~$856.9 million, which included ~~$463.9~~$525.7 million and ~~$481.7~~$503.3 million of cash and investments, ~~$364.6~~$340.0 million and ~~$364.6~~$340.0 million of BAM Surplus Notes and ~~$8.7~~$26.7 million and ~~$5.7~~$13.6 million of interest receivable on the BAM Surplus Notes.

BAM Surplus Notes

Through 2024, the interest rate on the BAM Surplus Notes is a variable rate equal to the one-year U.S. Treasury rate plus 300 basis points, set annually. During ~~2022,~~2023, the interest rate on the BAM Surplus Notes is ~~3.2%~~7.7%. Beginning in 2025, the interest rate will be fixed at the higher of the then current variable rate or 8.0%. Under its agreements with HG Global, BAM is required to seek regulatory approval to pay ~~interest~~principal and ~~principal~~interest on the BAM Surplus Notes only to the extent that its remaining qualified statutory capital and other capital resources continue to support its outstanding obligations, its business plan and its “AA/stable” rating from Standard & Poor’s. No payment of principal or interest on the BAM Surplus Notes may be made without the approval of the NYDFS.

In December ~~2021,~~2022, BAM made a ~~$33.8~~$36.0 million cash payment of principal and interest on the BAM Surplus Notes held by HG Global. Of this payment, ~~$23.6~~$24.6 million was a repayment of principal held in the Supplemental Trust, ~~$0.4~~$1.0 million was a payment of accrued interest held ~~inside~~in the Supplemental Trust and ~~$9.8~~$10.4 million was a payment of accrued interest held outside the Supplemental Trust.

During the three and six months ended June 30, ~~2022~~2023 and ~~2021,~~2022, BAM made no repayments of the BAM Surplus Notes or accrued interest.

As of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, the principal balance on the BAM Surplus Notes was ~~$364.6~~$340.0 million ~~and $364.6 million~~for both periods, and total interest receivable on the BAM Surplus Notes was ~~$163.5~~$171.0 million and ~~$157.6~~$157.9 million.

Insured Obligations and Premiums

The following table presents a schedule of BAM’s insured obligations as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022		December 31, 2021			June 30, 2023		December 31, 2022
Contracts outstanding	Contracts outstanding	12,852		12,350		Contracts outstanding	13,835		13,382
Remaining weighted average contract period outstanding (in years)		10.7		10.8
Remaining weighted average contract period (in years)						Remaining weighted average contract period (in years)	10.8		10.8
Contractual debt service outstanding (in millions):	Contractual debt service outstanding (in millions):					Contractual debt service outstanding (in millions):
Principal	Principal	$	95,926.1	$	89,196.5	Principal	$	103,962.3	$	99,996.9
Interest	Interest	45,150.7		41,486.5		Interest	51,414.9		48,880.6
Total debt service outstanding	Total debt service outstanding	$	141,076.8	$	130,683.0	Total debt service outstanding	$	155,377.2	$	148,877.5

Gross unearned insurance premiums (in millions)	Gross unearned insurance premiums (in millions)	$	274.0	$	266.3	Gross unearned insurance premiums (in millions)	$	303.7	$	298.3

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The following table presents a schedule of BAM’s future premium revenues as of June 30, ~~2022:~~2023:

Millions June 30, 2022
July 1, 2022 - December 31, 2022 $ 13.0
January 1, 2023 - March 31, 2023 6.4
April 1, 2023 - June 30, 2023 6.3
July 1, 2023 - September 30, 2023 6.2
October 1, 2023 - December 31, 2023 6.1
Total 2023 25.0
2024 23.5
2025 21.8
2026 20.3
2027 18.9
2028 and thereafter 151.5
Total gross unearned insurance premiums $ 274.0


Millions	June 30, 2023
July 1, 2023 - December 31, 2023	$	14.2
January 1, 2024 - March 31, 2024	6.9
April 1, 2024 - June 30, 2024	6.9
July 1, 2024 - September 30, 2024	6.7
October 1, 2024 - December 31, 2024	6.6
Total 2024	27.1
2025	25.4
2026	23.7
2027	22.1
2028	20.4
2029 and thereafter	170.8
Total gross unearned insurance premiums	$	303.7

The following table presents a schedule of written premiums and earned premiums included in ~~White Mountains’s~~the HG Global/BAM segment for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,			Six Months Ended June 30,							Three Months Ended June 30,	Six Months Ended June 30,
Millions	Millions		2022		2021		2022		2021		Millions		2023		2022		2023		2022
Written premiums:	Written premiums:										Written premiums:
Direct	Direct		$	17.1	$	13.8	$	26.5	$	21.8	Direct		$	11.6	$	17.1	$	20.8	$	26.5
Assumed	Assumed		—		—		—		4.5		Assumed		—		—		—		—
Gross written premiums (1)	Gross written premiums (1)		$	17.1	$	13.8	$	26.5	$	26.3	Gross written premiums (1)		$	11.6	$	17.1	$	20.8	$	26.5
Earned premiums:	Earned premiums:										Earned premiums:
Direct	Direct		$	7.9	$	5.6	$	15.5	$	10.9	Direct		$	7.0	$	7.9	$	14.0	$	15.5
Assumed	Assumed		2.6		.9		3.4		2.0		Assumed		.7		2.6		1.4		3.4
Gross earned premiums (1)	Gross earned premiums (1)		$	10.5	$	6.5	$	18.9	$	12.9	Gross earned premiums (1)		$	7.7	$	10.5	$	15.4	$	18.9

(1) There are no ceded premium amounts in the periods presented, and gross earned premiums are equivalent to net written premiums and net earned premiums.

~~In January 2021, BAM entered into a 100% facultative quota share reinsurance agreement under which it assumed a portfolio of municipal bond guarantee contracts with a par value of $805.5 million.~~

None of the contracts assumed under these reinsurance agreements were non-performing, and no loss reserves have been established for any of the contracts, either as of the transaction date or as of June 30, 2022. The agreement, which covers future claims exposure only, meets the risk transfer criteria under ASC 944-20, ~~Insurance Activities~~ ~~and accordingly has been accounted for as reinsurance.~~

3534

Note 11. Earnings Per Share

White Mountains calculates earnings per share using the two-class method, which allocates earnings between common shares and unvested restricted common shares. Both classes of shares participate equally in dividends and earnings on a per share basis. Basic earnings per share amounts are based on the weighted average number of common shares outstanding adjusted for unvested restricted common shares.

The following table presents the Company’s computation of earnings per share from continuing operations for the three and six months ended June 30, ~~2022~~2023 and ~~2021.~~2022. See Note 19 — “Held for Sale and Discontinued Operations.”


		Three Months Ended				Six Months Ended
		June 30,				June 30,					Three Months Ended June 30,				Six Months Ended June 30,
		2022		2021		2022		2021			2023		2022		2023		2022
Basic and diluted earnings per share numerators (in millions):	Basic and diluted earnings per share numerators (in millions):									Basic and diluted earnings per share numerators (in millions):
Net income (loss) attributable to White Mountains’s common shareholders	Net income (loss) attributable to White Mountains’s common shareholders	$	(169.2)	$	138.5	$	(135.8)	$	63.2	Net income (loss) attributable to White Mountains’s common shareholders	$	19.6	$	(169.2)	$	199.1	$	(135.8)
Less: total income (loss) from discontinued operations, net of tax (1)	Less: total income (loss) from discontinued operations, net of tax (1)	6.4		1.1		10.1		(10.4)		Less: total income (loss) from discontinued operations, net of tax (1)	—		6.4		—		10.1
Less: net (income) loss from discontinued operations attributable to non-controlling interests		$	(.5)	$	—	$	(.6)	$	1.1
Less: net (income) loss from discontinued operations attributable to noncontrolling interests										Less: net (income) loss from discontinued operations attributable to noncontrolling interests	—		(.5)		—		(.6)
Net income (loss) from continuing operations attributable to White Mountains’s common shareholders	Net income (loss) from continuing operations attributable to White Mountains’s common shareholders	$	(175.1)	$	137.4	$	(145.3)	$	72.5	Net income (loss) from continuing operations attributable to White Mountains’s common shareholders	19.6		(175.1)		199.1		(145.3)

Allocation of (earnings) losses to participating restricted common shares (2)	Allocation of (earnings) losses to participating restricted common shares (2)	2.2		(1.7)		1.6		(.9)		Allocation of (earnings) losses to participating restricted common shares (2)	(.3)		2.2		(2.7)		1.6
Basic and diluted earnings (losses) per share numerators	Basic and diluted earnings (losses) per share numerators	$	(172.9)	$	135.7	$	(143.7)	$	71.6	Basic and diluted earnings (losses) per share numerators	$	19.3	$	(172.9)	$	196.4	$	(143.7)
Basic earnings per share denominators (in thousands):	Basic earnings per share denominators (in thousands):									Basic earnings per share denominators (in thousands):
Total average common shares outstanding during the period	Total average common shares outstanding during the period	2,979.0		3,107.8		2,992.5		3,104.0		Total average common shares outstanding during the period	2,562.4		2,979.0		2,566.1		2,992.5
Average unvested restricted common shares (3)	Average unvested restricted common shares (3)	(38.3)		(37.8)		(33.9)		(35.1)		Average unvested restricted common shares (3)	(37.6)		(38.3)		(34.4)		(33.9)
Basic earnings (losses) per share denominator	Basic earnings (losses) per share denominator	2,940.7		3,070.0		2,958.6		3,068.9		Basic earnings (losses) per share denominator	2,524.8		2,940.7		2,531.7		2,958.6
Diluted earnings per share denominator (in thousands):	Diluted earnings per share denominator (in thousands):									Diluted earnings per share denominator (in thousands):
Total average common shares outstanding during the period	Total average common shares outstanding during the period	2,979.0		3,107.8		2,992.5		3,104.0		Total average common shares outstanding during the period	2,562.4		2,979.0		2,566.1		2,992.5
Average unvested restricted common shares (3)	Average unvested restricted common shares (3)	(38.3)		(37.8)		(33.9)		(35.1)		Average unvested restricted common shares (3)	(37.6)		(38.3)		(34.4)		(33.9)

Diluted earnings (losses) per share denominator	Diluted earnings (losses) per share denominator	2,940.7		3,070.0		2,958.6		3,068.9		Diluted earnings (losses) per share denominator	2,524.8		2,940.7		2,531.7		2,958.6

Basic and diluted earnings per share (in dollars) - continuing operations:	Basic and diluted earnings per share (in dollars) - continuing operations:									Basic and diluted earnings per share (in dollars) - continuing operations:
Distributed earnings - dividends declared and paid	Distributed earnings - dividends declared and paid	$	—	$	—	$	1.00	$	1.00	Distributed earnings - dividends declared and paid	$	—	$	—	$	1.00	$	1.00
Undistributed earnings (losses)	Undistributed earnings (losses)	(58.78)		44.21		(49.57)		22.35		Undistributed earnings (losses)	7.65		(58.78)		76.57		(49.57)
Basic and diluted earnings (losses) per share	Basic and diluted earnings (losses) per share	$	(58.78)	$	44.21	$	(48.57)	$	23.35	Basic and diluted earnings (losses) per share	$	7.65	$	(58.78)	$	77.57	$	(48.57)

(1) Includes net ~~gain (loss) from sale of Sirius Group, net of tax and net~~ income (loss) from ~~NSM Group~~ discontinued operations, net of ~~tax.~~tax - NSM Group. See Note 19 — “Held for Sale and Discontinued Operations.”

(2) Restricted shares issued by White Mountains receive dividends, and therefore, are ~~therefore~~ considered participating securities.

(3) Restricted shares outstanding vest upon a stated date. See Note 12 — “Employee Share-Based Incentive Compensation Plans.”

The following table presents the undistributed net earnings (losses) from continuing operations for the three and six months ended June 30, ~~2022~~2023 and ~~2021.~~2022. See Note 19 — “Held for Sale and Discontinued Operations.”


		Three Months Ended				Six Months Ended
		June 30,				June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Undistributed net earnings (losses) - continuing operations:
Net income (losses) attributable to White Mountains’s common shareholders, net of restricted common share amounts		$	(172.9)	$	135.7	$	(143.7)	$	71.6
Undistributed net earnings - continuing operations:										Undistributed net earnings - continuing operations:
Net income (loss) attributable to White Mountains’s common shareholders, net of restricted common share amounts										Net income (loss) attributable to White Mountains’s common shareholders, net of restricted common share amounts	$	19.3	$	(172.9)	$	196.4	$	(143.7)
Dividends declared, net of restricted common share amounts (1)	Dividends declared, net of restricted common share amounts (1)	—		—		(3.0)		(3.1)		Dividends declared, net of restricted common share amounts (1)	—		—		(2.5)		(3.0)
Total undistributed net earnings (losses), net of restricted common share amounts	Total undistributed net earnings (losses), net of restricted common share amounts	$	(172.9)	$	135.7	$	(146.7)	$	68.5	Total undistributed net earnings (losses), net of restricted common share amounts	$	19.3	$	(172.9)	$	193.9	$	(146.7)

(1) Restricted shares issued by White Mountains receive dividends, and therefore, are ~~therefore~~ considered participating securities.

3635

Note 12. Employee Share-Based Incentive Compensation Plans

White Mountains’s share-based incentive compensation plans are designed to incentivize key employees to maximize shareholder value over long periods of time. White Mountains believes that this is best pursued by utilizing a pay-for-performance program that closely aligns the financial interests of management with those of its shareholders while rewarding appropriate risk taking. White Mountains accomplishes this by emphasizing variable long-term compensation that is contingent on performance over a number of years rather than fixed entitlements. White Mountains expenses all of its share-based compensation. As a result, White Mountains’s calculation of its owners’ returns includes the expense of all outstanding share-based compensation awards.

White Mountains’s Long-Term Incentive Plan (the “WTM Incentive Plan”) provides for grants of various types of share-based and non-share-based incentive awards to key employees and directors of White Mountains. As of June 30, ~~2022~~2023 and ~~2021,~~2022, White Mountains’s share-based incentive compensation ~~incentive~~ awards consist of performance shares and restricted shares.

Performance Shares

Performance shares are designed to reward employees for meeting company-wide performance targets. Performance shares are conditional grants of a specified maximum number of common shares or an equivalent amount of cash. Awards generally vest at the end of a three-year service period, are subject to the attainment of pre-specified performance goals, and are valued based on the market value of common shares at the time awards are paid. Performance shares earned under the WTM Incentive Plan are typically paid in cash but may be paid in common shares. Compensation expense is recognized for the vested portion of the awards over the related service periods. The level of payout ranges from zero to 2two times the number of shares initially granted, depending on White Mountains’s financial performance. Performance shares become payable at the conclusion of a performance cycle (typically 3three years) if pre-defined financial targets are met. The performance measures used for determining performance share payouts are growth in White Mountains’s adjusted book value per share and intrinsic value per share. Intrinsic value per share is generally calculated by adjusting adjusted book value per share for differences between the adjusted book value of certain assets and liabilities and White Mountains’s estimate of their underlying intrinsic values.

The following table presents the performance share activity for the three and six months ended June 30, ~~2022~~2023 and ~~2021~~2022 for performance shares granted under the WTM Incentive Plan:


		Three Months Ended June 30,						Six Months Ended June 30,							Three Months Ended June 30,						Six Months Ended June 30,
		2022			2021			2022			2021				2023			2022			2023			2022
Millions, except share amounts		Target Performance Shares Outstanding	Accrued Expense		Target Performance Shares Outstanding	Accrued Expense		Target Performance Shares Outstanding	Accrued Expense		Target Performance Shares Outstanding	Accrued Expense
$ in Millions														$ in Millions	Target Performance Shares Outstanding	Accrued Expense		Target Performance Shares Outstanding	Accrued Expense		Target Performance Shares Outstanding	Accrued Expense		Target Performance Shares Outstanding	Accrued Expense
Beginning of period	Beginning of period	39,302	$	21.9	40,784	$	38.2	40,828	$	42.2	42,458	$	56.3	Beginning of period	37,031	$	36.4	39,302	$	21.9	39,449	$	67.5	40,828	$	42.2
Shares paid (1)	Shares paid (1)	—	—		—	—		(14,625)	(26.4)		(14,117)	(34.6)		Shares paid (1)	—	—		—	—		(13,350)	(40.8)		(14,625)	(26.4)
New grants	New grants	150	—		475	—		13,225	—		13,475	—		New grants	—	—		150	—		10,895	—		13,225	—
Forfeitures and cancellations (2)	Forfeitures and cancellations (2)	(3)	(.4)		(7)	(.2)		21	(.1)		(564)	.2		Forfeitures and cancellations (2)	—	(.2)		(3)	(.4)		37	.2		21	(.1)
Expense recognized	Expense recognized	—	19.7		—	7.7		—	25.5		—	23.8		Expense recognized	—	8.4		—	19.7		—	17.7		—	25.5
End of period	End of period	39,449	$	41.2	41,252	$	45.7	39,449	$	41.2	41,252	$	45.7	End of period	37,031	$	44.6	39,449	$	41.2	37,031	$	44.6	39,449	$	41.2

(1) WTM performance share payments in 2023 for the 2020-2022 performance cycle, which were paid in March 2023 at 200% of target. WTM performance share payments in 2022 for the 2019-2021 performance cycle, which were paid in ~~cash in~~ March 2022 at 172% ~~of target. WTM performance share payments in 2021 for the 2018-2020 performance cycle, which were paid in cash in March 2021 at 200%~~ of target.

(2) Amounts include changes in assumed forfeitures, as required under GAAP.

During the six months ended June 30, 2023, White Mountains granted 10,895 performance shares for the 2023-2025 performance cycle. During the three and six months ended June 30, 2022, White Mountains granted 150 and 13,225 performance shares for the 2022-2024 performance cycle. ~~During~~

For the ~~three and six months ended June 30, 2021, White Mountains granted 475 and 13,475~~2020-2022 performance cycle, all performance shares ~~for the 2021-2023 performance cycle.~~

earned were settled in cash. For the 2019-2021 performance cycle, the Company issued common shares for 750 performance shares earned, and all other performance shares earned were settled in cash. ~~For~~If the ~~2018-2020 performance cycle, all performance shares earned were settled in cash. If all the~~ outstanding ~~WTM~~ performance shares had vested on June 30, ~~2022,~~2023, the total additional compensation cost to be recognized would have been ~~$44.0~~$37.8 million, based on accrual factors as of June 30, 2023 (common share price and payout assumptions) ~~as of June 30, 2022.~~.

3736

The following table presents performance shares outstanding and accrued expense for performance shares awarded under the WTM Incentive Plan as of June 30, ~~2022~~2023 for each performance cycle:


		Six Months Ended June 30, 2022				June 30, 2023
Millions, except share amounts		Target Performance Shares Outstanding	Accrued Expense
$ in Millions					$ in Millions	Target Performance Shares Outstanding	Accrued Expense
Performance cycle:	Performance cycle:				Performance cycle:
2020 – 2022		13,350	$	27.4
2021 – 2023	2021 – 2023	13,475	11.0		2021 – 2023	13,475	$	26.3
2022 – 2024	2022 – 2024	13,225	3.5		2022 – 2024	13,225	17.3
2023 – 2025					2023 – 2025	10,895	1.8

Sub-total	Sub-total	40,050	41.9		Sub-total	37,595	45.4
Assumed forfeitures	Assumed forfeitures	(601)	(.7)		Assumed forfeitures	(564)	(.8)
June 30, 2022		39,449	$	41.2
Total					Total	37,031	$	44.6

Restricted Shares

Restricted shares are grants of a specified number of common shares that generally vest at the end of a 34-month service period. The following table presents the unrecognized compensation cost associated with the outstanding restricted share awards under the WTM Incentive Plan for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~

Three Months Ended June 30, Six Months Ended June 30,
2022 2021 2022 2021
Millions,
except share amounts
Restricted
Shares Unamortized
Issue Date
Fair Value Restricted
Shares Unamortized
Issue Date
Fair Value Restricted
Shares Unamortized Issue Date
Fair Value Restricted
Shares Unamortized Issue Date
Fair Value
Non-vested,
Beginning of period 38,200 $ 26.5 37,805 $ 26.2 37,850 $ 15.9 43,105 $ 15.2
Issued 150 .2 475 .5 13,225 13.8 13,475 16.1
Vested — — — — (12,725) — (17,717) —
Forfeited — — — — — — (583) (.6)
Expense recognized — (3.7) — (3.5) — (6.7) — (7.5)
End of period 38,350 $ 23.0 38,280 $ 23.2 38,350 $ 23.0 38,280 $ 23.2
2022:


	Three Months Ended June 30,						Six Months Ended June 30,
	2023			2022			2023			2022
$ in Millions	Restricted Shares	Unamortized Issue Date Fair Value		Restricted Shares	Unamortized Issue Date Fair Value		Restricted Shares	Unamortized Issue Date Fair Value		Restricted Shares	Unamortized Issue Date Fair Value
Non-vested,
Beginning of period	37,595	$	28.3	38,200	$	26.5	38,350	$	15.5	37,850	$	15.9
Issued	—	—		150	.2		10,895	16.0		13,225	13.8
Vested	—	—		—	—		(11,650)	—		(12,725)	—
Forfeited	—	—		—	—		—	—		—	—
Expense recognized	—	(4.0)		—	(3.7)		—	(7.2)		—	(6.7)
End of period	37,595	$	24.3	38,350	$	23.0	37,595	$	24.3	38,350	$	23.0

During the six months ended June 30, 2023, White Mountains issued 10,895 restricted shares that vest on January 1, 2026. During the three and six months ended June 30, 2022, White Mountains issued 150 and 13,225 restricted shares that vest on January 1, 2025. ~~During the three and six months ended June 30, 2021, White Mountains issued 475 and 13,475 restricted shares that vest on January 1, 2024.~~ The unamortized issue date fair value as of June 30, ~~2022~~2023 is expected to be recognized ratably over the remaining vesting periods.

~~Note 13. Leases~~

White Mountains has entered into lease agreements, primarily for office space. These leases are classified as operating leases, with lease expense recognized on a straight-line basis over the term of the lease. Lease incentives, such as free rent or landlord reimbursements for leasehold improvements, are recognized at lease inception and amortized on a straight-line basis over the term of the lease. Lease expense and the amortization of leasehold improvements are recognized within general and administrative expenses. Lease payments related to options to extend or renew the lease term are excluded from the calculation of lease liabilities unless White Mountains is reasonably certain of exercising those options.

~~As of June 30, 2022 and December 31, 2021, the right of use (“ROU”) asset was $26.2 million and $28.1 million and lease liabilities were $28.2 million and $30.0 million.~~

~~The following table summarizes net lease expense recognized in White Mountains’s consolidated statements of operations for the three and six months ended June 30, 2022 and 2021:~~

Millions Three Months Ended June 30, Six Months Ended June 30,
Lease Cost 2022 2021 2022 2021
Lease cost $ 2.0 $ 1.8 $ 4.0 $ 2.9
Less: sublease income .1 .1 .3 .2
Net lease cost $ 1.9 $ 1.7 $ 3.7 $ 2.7

~~The following table presents the contractual maturities of the lease liabilities associated with White Mountains’s operating lease agreements as of June 30, 2022:~~

Millions As of June 30, 2022
Remainder of 2022 $ 3.4
2023 8.2
2024 7.2
2025 4.9
2026 2.6
Thereafter 5.0
Total undiscounted lease payments 31.3
Less: present value adjustment 3.1
Operating lease liability $ 28.2

~~The following tables present lease related assets and liabilities by reportable segment as of June 30, 2022 and December 31, 2021:~~

As of June 30, 2022
Millions HG/BAM Ark Kudu Other Operations Total
Weighted Average Incremental Borrowing Rate (1)
ROU lease asset $ 6.7 $ 7.3 $ 6.1 $ 6.1 $ 26.2 4.1%
Lease liability $ 7.2 $ 7.3 $ 6.9 $ 6.8 $ 28.2

~~(1)~~ ~~The present value of the remaining lease payments was determined by discounting the lease payments using the incremental borrowing rate.~~

As of December 31, 2021
Millions HG/BAM Ark Kudu Other Operations Total
Weighted Average Incremental Borrowing Rate (1)
ROU lease asset $ 7.6 $ 7.0 $ 6.4 $ 7.1 $ 28.1 4.0%
Lease liability $ 8.1 $ 7.0 $ 7.1 $ 7.8 $ 30.0

~~(1)~~ ~~The present value of the remaining lease payments was determined by discounting the lease payments using the incremental borrowing rate.~~

3937

Note ~~14. Non-controlling~~13. Noncontrolling Interests

~~Non-controlling~~Noncontrolling interests consist of the ownership interests of ~~non-controlling~~noncontrolling shareholders in consolidated entities and are presented separately on the balance sheet.

The following table presents the balance of ~~non-controlling~~noncontrolling interests included in White Mountains’s total equity and the ~~ownership interests held~~related percentage of each consolidated entity’s total equity owned by ~~non-controlling~~noncontrolling shareholders as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022				December 31, 2021					June 30, 2023				December 31, 2022
$ in Millions	$ in Millions	Non-controlling Percentage (1)		Non-controlling Equity		Non-controlling Percentage (1)		Non-controlling Equity		$ in Millions	Noncontrolling Percentage (1)		Noncontrolling Equity		Noncontrolling Percentage (1)		Noncontrolling Equity
Non-controlling interests, excluding BAM
Noncontrolling interests, excluding BAM										Noncontrolling interests, excluding BAM
HG Global	HG Global	3.1	%	$	2.7	3.1	%	$	8.9	HG Global	3.1	%	$	(1.3)	3.1	%	$	(.6)
Ark	Ark	28.0	%	211.4		28.0	%	230.7		Ark	28.0	%	263.3		28.0	%	247.9

Kudu	Kudu	10.7	%	71.3		.7	%	12.4		Kudu	10.8	%	88.8		10.8	%	75.1
NSM (2)		3.5	%	17.1		3.5	%	16.7

Other	Other	various		20.1		various		11.9		Other	various		10.1		various		20.4
Total, excluding BAM	Total, excluding BAM			322.6				280.6		Total, excluding BAM			360.9				342.8
BAM	BAM	100.0	%	(153.9)		100.0	%	(124.0)		BAM	100.0	%	(157.2)		100.0	%	(154.7)

Total non-controlling interests				$	168.7			$	156.6
Total noncontrolling interests										Total noncontrolling interests			$	203.7			$	188.1

(1) The ~~non-controlling~~noncontrolling percentage represents the basic ownership interests held by ~~non-controlling~~noncontrolling shareholders with the exception of HG Global, for which the ~~non-controlling~~noncontrolling percentage represents the preferred share ownership held by ~~non-controlling~~noncontrolling shareholders.

~~(2)~~ ~~As a result of the NSM Transaction, NSM has been classified as discontinued operations. See~~ ~~Note 19 — “Held for Sale and Discontinued Operations~~.”

Note ~~15.~~14. Segment Information

As of June 30, ~~2022,~~2023, White Mountains conducted its operations through 4three reportable segments: (1) HG Global/BAM, (2) ~~Ark,~~Ark/WM Outrigger, and (3) Kudu, with our remaining operating businesses, holding companies and ~~(4)~~other assets included in Other Operations. As a result of the NSM Transaction, the results of operations for NSM, previously reported as a segment, have been classified as discontinued operations in the statements of operations and comprehensive income. Prior period amounts have been reclassified to conform to the current period’s presentation. See ~~Note 19 — “Held for Sale and Discontinued Operations.”~~

White Mountains has made its segment determination based on consideration of the following criteria: (i) the nature of the business activities of each of the Company’s subsidiaries and affiliates; (ii) the manner in which the Company’s subsidiaries and affiliates are organized; (iii) the existence of primary managers responsible for specific subsidiaries and affiliates; and (iv) the organization of information provided to the chief operating decision makers and the Board of Directors. Significant intercompany transactions among White Mountains’s segments have been eliminated herein.

During the fourth quarter of 2022, Ark sponsored the formation of Outrigger Re Ltd. to provide reinsurance protection on Ark’s Bermuda global property catastrophe excess of loss portfolio written in calendar year 2023. White Mountains consolidates its segregated account of Outrigger Re Ltd., WM Outrigger Re, in its financial statements. WM Outrigger Re’s quota share reinsurance agreement with GAIL eliminates in White Mountains’s consolidated financial statements. WM Outrigger Re exclusively provides reinsurance protection to Ark. As a result, WM Outrigger Re was aggregated with Ark within the Ark/WM Outrigger segment starting in 2023. See Note 2 — “Significant Transactions.” As a result of the NSM Transaction, the results of operations for NSM, previously reported as a segment, have been classified as discontinued operations in the statements of operations and comprehensive income through the closing of the transaction. See Note 19 — “Held for Sale and Discontinued Operations.” Prior period amounts have been reclassified to conform to the current period’s presentation.

4038

The following tables present the financial information for White Mountains’s ~~segments:~~segments for the three and six months ended June 30, 2023 and 2022:


													HG Global/BAM				Ark/WM Outrigger						Other Operations		Total
Millions	Millions	HG Global/ BAM		Ark		Kudu		Other Operations		Total		Millions	HG Global		BAM (1)		Ark		WM Outrigger Re		Kudu
Three Months Ended June 30, 2022
Three Months Ended June 30, 2023												Three Months Ended June 30, 2023
Earned insurance premiums	Earned insurance premiums	$	10.5	$	217.3	$	—	$	—	$	227.8	Earned insurance premiums	$	6.4	$	1.3	$	283.7	$	9.6	$	—	$	—	$	301.0
Net investment income	Net investment income	4.8		3.2		13.8		3.3		25.1		Net investment income	4.1		3.5		11.2		2.5		14.7		7.0		43.0
Net investment income (expense) - BAM Surplus Note interest												Net investment income (expense) - BAM Surplus Note interest	6.5		(6.5)		—		—		—		—		—
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(30.1)		(44.6)		(17.6)		(11.8)		(104.1)		Net realized and unrealized investment gains (losses)	(5.7)		(4.2)		18.0		—		4.6		76.0		88.7
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	Net realized and unrealized investment gains (losses) from investment in MediaAlpha	—		—		—		(113.5)		(113.5)		Net realized and unrealized investment gains (losses) from investment in MediaAlpha	—		—		—		—		—		(77.3)		(77.3)
Commission revenues	Commission revenues	—		—		—		2.6		2.6		Commission revenues	—		—		—		—		—		3.2		3.2

Other revenues	Other revenues	1.6		6.3		—		30.9		38.8		Other revenues	—		.5		(2.0)		—		—		21.3		19.8
Total revenues	Total revenues	(13.2)		182.2		(3.8)		(88.5)		76.7		Total revenues	11.3		(5.4)		310.9		12.1		19.3		30.2		378.4

Loss and loss adjustment expenses	Loss and loss adjustment expenses	—		120.5		—		—		120.5		Loss and loss adjustment expenses	—		—		167.1		.4		—		—		167.5
Insurance and reinsurance acquisition expenses		4.8		50.2		—		—		55.0
Acquisition expenses												Acquisition expenses	1.8		(.3)		59.4		2.0		—		—		62.9

Cost of sales	Cost of sales	—		—		—		22.4		22.4		Cost of sales	—		—		—		—		—		11.6		11.6
General and administrative expenses	General and administrative expenses	17.4		29.8		3.0		50.1		100.3		General and administrative expenses	.3		14.6		34.9		—		4.0		48.8		102.6
Change in fair value of contingent consideration												Change in fair value of contingent consideration	—		—		2.2		—		—		—		2.2

Amortization of other intangible assets		—		—		.1		.9		1.0

Interest expense	Interest expense	3.4		3.1		3.3		.3		10.1		Interest expense	2.5		—		5.2		—		5.3		1.2		14.2
Total expenses	Total expenses	25.6		203.6		6.4		73.7		309.3		Total expenses	4.6		14.3		268.8		2.4		9.3		61.6		361.0
Pre-tax income (loss) from continuing operations	Pre-tax income (loss) from continuing operations	$	(38.8)	$	(21.4)	$	(10.2)	$	(162.2)	$	(232.6)	Pre-tax income (loss) from continuing operations	$	6.7	$	(19.7)	$	42.1	$	9.7	$	10.0	$	(31.4)	$	17.4

(1) BAM manages its affairs on a statutory accounting basis. BAM’s statutory surplus includes the BAM Surplus Notes and is not reduced by accruals of interest expense on the BAM Surplus Notes. BAM’s statutory surplus is reduced only after a payment of principal or interest has been approved by the NYDFS.


	HG Global/BAM				Ark/WM Outrigger				Other Operations
Millions	HG Global		BAM (1)		Ark		Kudu				Total
Three Months Ended June 30, 2022
Earned insurance premiums	$	8.7	$	1.8	$	217.3	$	—	$	—		$	227.8
Net investment income	2.2		2.6		3.2		13.8		3.3			25.1
Net investment income (expense) - BAM Surplus Note interest	3.0		(3.0)		—		—		—			—
Net realized and unrealized investment gains (losses)	(14.7)		(15.4)		(44.6)		(17.6)		(11.8)			(104.1)
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	—		—		—		—		(113.5)			(113.5)
Commission revenues	—		—		—		—		2.6			2.6

Other revenues	.1		1.5		6.3		—		30.9			38.8
Total revenues	(.7)		(12.5)		182.2		(3.8)		(88.5)			76.7
Losses and loss adjustment expenses	—		—		120.5		—		—			120.5
Acquisition expenses	3.4		1.4		50.2		—		—			55.0

Cost of sales	—		—		—		—		22.4			22.4
General and administrative expenses	.8		16.6		29.7		3.1		51.0			101.2
Change in fair value of contingent consideration	—		—		.1		—		—			.1
Interest expense	3.4		—		3.1		3.3		.3			10.1
Total expenses	7.6		18.0		203.6		6.4		73.7			309.3
Pre-tax income (loss) from continuing operations	$	(8.3)	$	(30.5)	$	(21.4)	$	(10.2)	$	(162.2)		$	(232.6)


													HG Global/BAM				Ark/WM Outrigger						Other Operations
Millions	Millions	HG Global/ BAM		Ark		Kudu		Other Operations		Total		Millions	HG Global		BAM (1)		Ark		WM Outrigger Re		Kudu				Total
Three Months Ended June 30, 2021
Six Months Ended June 30, 2023												Six Months Ended June 30, 2023
Earned insurance premiums	Earned insurance premiums	$	6.5	$	117.8	$	—	$	—	$	124.3	Earned insurance premiums	$	12.8	$	2.6	$	533.6	$	14.8	$	—	$	—	$	563.8
Net investment income	Net investment income	4.3		.4		8.4		4.0		17.1		Net investment income	8.1		6.7		19.6		4.7		28.9		14.0		82.0
Net investment income (expense) - BAM Surplus Note interest												Net investment income (expense) - BAM Surplus Note interest	13.1		(13.1)		—		—		—		—		—
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	6.3		8.9		27.8		16.6		59.6		Net realized and unrealized investment gains (losses)	2.2		4.9		42.5		—		34.2		117.8		201.6
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	Net realized and unrealized investment gains (losses) from investment in MediaAlpha	—		—		—		113.0		113.0		Net realized and unrealized investment gains (losses) from investment in MediaAlpha	—		—		—		—		—		7.9		7.9
Commission revenues	Commission revenues	—		—		—		2.3		2.3		Commission revenues	—		—		—		—		—		6.5		6.5

Other revenues	Other revenues	.3		3.4		—		22.4		26.1		Other revenues	—		1.3		(4.7)		—		—		51.9		48.5
Total revenues	Total revenues	17.4		130.5		36.2		158.3		342.4		Total revenues	36.2		2.4		591.0		19.5		63.1		198.1		910.3
Losses and loss adjustment expenses		—		52.6		—		—		52.6
Insurance and reinsurance acquisition expenses		1.6		34.0		—		—		35.6

Loss and loss adjustment expenses												Loss and loss adjustment expenses	—		—		314.7		.6		—		—		315.3
Acquisition expenses												Acquisition expenses	3.6		.6		118.3		2.9		—		—		125.4

Cost of sales	Cost of sales	—		—		—		17.9		17.9		Cost of sales	—		—		—		—		—		25.5		25.5
General and administrative expenses	General and administrative expenses	13.9		24.8		3.2		29.3		71.2		General and administrative expenses	1.4		30.8		70.0		.1		7.8		88.5		198.6

Amortization of other intangible assets		—		—		.1		.4		.5
Change in fair value of contingent consideration												Change in fair value of contingent consideration	—		—		(.2)		—		—		—		(.2)

Interest expense	Interest expense	—		1.3		1.5		.4		3.2		Interest expense	7.0		—		10.2		—		10.0		2.0		29.2
Total expenses	Total expenses	15.5		112.7		4.8		48.0		181.0		Total expenses	12.0		31.4		513.0		3.6		17.8		116.0		693.8
Pre-tax income (loss) from continuing operations	Pre-tax income (loss) from continuing operations	$	1.9	$	17.8	$	31.4	$	110.3	$	161.4	Pre-tax income (loss) from continuing operations	$	24.2	$	(29.0)	$	78.0	$	15.9	$	45.3	$	82.1	$	216.5


	HG Global/BAM				Ark/WM Outrigger				Other Operations
Millions	HG Global		BAM (1)		Ark		Kudu					Total
Six Months Ended June 30, 2022
Earned insurance premiums	$	15.6	$	3.3	411.7		$	—		$	—	$	430.6
Net investment income	4.3		5.1		4.8		26.4			5.1		45.7
Net investment income (expense) - BAM Surplus Note interest	5.9		(5.9)		—		—			—		—
Net realized and unrealized investment gains (losses)	(38.2)		(37.0)		(62.1)		4.7			20.1		(112.5)
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	—		—		—		—			(94.7)		(94.7)
Commission revenues	—		—		—		—			5.5		5.5

Other revenues	.2		2.2		3.5		—			56.6		62.5
Total revenues	(12.2)		(32.3)		357.9		31.1			(7.4)		337.1
Losses and loss adjustment expenses	—		—		242.5		—			—		242.5
Acquisition expenses	6.0		1.8		100.1		—			—		107.9

Cost of sales	—		—		—		—			43.8		43.8
General and administrative expenses	1.5		32.2		50.7		5.9			80.8		171.1
Change in fair value of contingent consideration	—		—		2.2		—			—		2.2

Interest expense	3.4		—		6.9		6.1			.6		17.0
Total expenses	10.9		34.0		402.4		12.0			125.2		584.5
Pre-tax income (loss) from continuing operations	$	(23.1)	$	(66.3)	$	(44.5)	$	19.1		$	(132.6)	$	(247.4)

Note 15. Variable Interest Entities

BAM

BAM is owned by and operated for the benefit of its members, the municipalities that purchase BAM’s insurance for their debt issuances. However, the equity at risk funded by BAM’s members is not sufficient to fund its operations without the additional financial support provided by the BAM Surplus Notes and, accordingly, White Mountains has determined that BAM is a VIE.

Pursuant to the FLRT, BAM’s underwriting guidelines may only be amended with the consent of HG Re. In addition, HG Holdings Ltd, a subsidiary of HG Global, has the right to designate two directors for election to BAM’s Board of Directors. As a result, we have determined that White Mountains is the primary beneficiary and is required to consolidate BAM’s results in its financial statements. Since BAM is owned by its members, its equity and results of operations are included in noncontrolling interests.

HG Re’s obligations under the FLRT are subject to an aggregate limit equal to the assets in the Collateral Trusts at any point in time.

WM Outrigger Re

White Mountains has determined that Outrigger Re Ltd. and WM Outrigger Re are VIEs. White Mountains is not the primary beneficiary of Outrigger Re Ltd. or the other segregated accounts. White Mountains is the primary beneficiary of WM Outrigger Re, as it has both the power to direct the activities that most significantly impact WM Outrigger Re’s economic performance and the obligation to absorb losses, or the right to receive returns, that could potentially be significant to WM Outrigger Re. As a result, White Mountains consolidates WM Outrigger Re’s results in its financial statements. The assets of WM Outrigger Re can only be used to settle the liabilities of WM Outrigger Re, and there is no recourse to the Company for any creditors of WM Outrigger Re.

PassportCard/DavidShield

As of June 30, 2023, White Mountains’s ownership interest in PassportCard/DavidShield was 53.8%. White Mountains has determined that both PassportCard and DavidShield are VIEs but that White Mountains is not the primary beneficiary and therefore does not consolidate either PassportCard or DavidShield. The governance structures for both PassportCard and DavidShield were designed to give White Mountains and its co-investor equal power to make the decisions that most significantly impact operations. White Mountains does not have the unilateral power to direct the operations of PassportCard or DavidShield and does not hold a controlling financial interest. White Mountains’s ownership interest gives White Mountains the ability to exert significant influence over the significant financial and operating activities of PassportCard/DavidShield. Accordingly, White Mountains’s investment in PassportCard/DavidShield meets the criteria to be accounted for under the equity method. White Mountains has taken the fair value option for its investment in PassportCard/DavidShield. Changes in the fair value of PassportCard/DavidShield are recorded in net realized and unrealized investment gains (losses). As of June 30, 2023, White Mountains’s maximum exposure to loss on its equity investment in PassportCard/DavidShield and the non-interest-bearing loan to its partner is the total carrying value of $159.5 million.

Elementum

As of June 30, 2023, White Mountains’s ownership interest in Elementum was 26.6%. White Mountains has determined that Elementum is a VIE but that White Mountains is not the primary beneficiary and therefore does not consolidate Elementum. White Mountains’s ownership interest gives White Mountains the ability to exert significant influence over the significant financial and operating activities of Elementum. Accordingly, Elementum meets the criteria to be accounted for under the equity method. White Mountains has taken the fair value option for its investment in Elementum. Changes in the fair value of Elementum are recorded in net realized and unrealized investment gains (losses). As of June 30, 2023, White Mountains’s maximum exposure to loss on its limited partnership interest in Elementum is the carrying value of $30.0 million.

Millions HG Global/ BAM Ark
Kudu
Other Operations Total
Six Months Ended June 30, 2022
Earned insurance premiums $ 18.9 $ 411.7 $ — $ — $ 430.6
Net investment income 9.4 4.8 26.4 5.1 45.7
Net realized and unrealized investment
   gains (losses) (75.2) (62.1) 4.7 20.1 (112.5)
Net realized and unrealized investment gains
   (losses) from investment in MediaAlpha — — — (94.7) (94.7)
Commission revenues — — — 5.5 5.5
Other revenues 2.4 3.5 — 56.6 62.5
     Total revenues (44.5) 357.9 31.1 (7.4) 337.1
Loss and loss adjustment expenses — 242.5 — — 242.5
Insurance and reinsurance acquisition expenses 7.8 100.1 — — 107.9
Cost of sales — — — 43.8 43.8
General and administrative expenses 33.7 52.9 5.7 79.0 171.3
Amortization of other intangible assets — — .2 1.8 2.0
Interest expense 3.4 6.9 6.1 .6 17.0
     Total expenses 44.9 402.4 12.0 125.2 584.5
Pre-tax income (loss) from continuing operations $ (89.4) $ (44.5) $ 19.1 $ (132.6) $ (247.4)
Limited Partnerships

Millions HG Global/ BAM Ark
Kudu
Other Operations Total
Six Months Ended June 30, 2021
Earned insurance premiums $ 12.9 $ 222.4 $ — $ — $ 235.3
Net investment income 8.8 1.2 16.6 11.1 37.7
Net realized and unrealized investment
   gains (losses) (11.6) 10.0 43.6 18.7 60.7
Net realized and unrealized investment gains
   (losses) from investment in MediaAlpha — — — 71.3 71.3
Commission revenues — — — 4.6 4.6
Other revenues .6 6.0 .1 29.5 36.2
     Total revenues 10.7 239.6 60.3 135.2 445.8
Losses and loss adjustment expenses — 118.6 — — 118.6
Insurance and reinsurance acquisition expenses 3.5 70.7 — — 74.2
Cost of sales — — — 21.9 21.9
General and administrative expenses 30.3 62.6 5.7 65 163.6
Amortization of other intangible assets — — .2 .9 1.1
Interest expense — 2.4 7.3 .7 10.4
     Total expenses 33.8 254.3 13.2 88.5 389.8
Pre-tax income (loss) from continuing operations $ (23.1) $ (14.7) $ 47.1 $ 46.7 $ 56.0
White Mountains’s investments in limited partnerships are generally considered VIEs because the limited partnership interests do not have substantive kick-out rights or participating rights. White Mountains does not have the unilateral power to direct the operations of these limited partnerships, and therefore White Mountains is not the primary beneficiary and does not consolidate the limited partnerships. White Mountains has taken the fair value option for its investments in limited partnerships, which are generally measured at NAV as a practical expedient. As of June 30, 2023, White Mountains’s maximum exposure to loss on its investments in limited partnerships is the carrying value of $229.7 million.

Note 16. ~~Equity-Method~~Equity Method Eligible Investments

White Mountains’s equity method eligible investments include Kudu’s Participation Contracts, White Mountains’s investment in MediaAlpha, PassportCard/DavidShield, Elementum Holdings, L.P. and certain other unconsolidated entities, ~~including Kudu’s Participation Contracts,~~ private equity funds and hedge funds in which White Mountains has the ability to exert significant influence over the investee’s operating and financial policies.

The following table presents the ownership interests and carrying values of White Mountains’s equity method eligible investments as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022				December 31, 2021					June 30, 2023			December 31, 2022
Millions		Ownership Interest		Carrying Value		Ownership Interest		Carrying Value
Kudu Participation Contracts (1)		3.2 - 33.4%		$	727.0	3.2 - 32.0%		$	669.5
$ in Millions										$ in Millions	Ownership Interest (1)	Carrying Value		Ownership Interest (1)	Carrying Value
Kudu’s Participation Contracts (1)										Kudu’s Participation Contracts (1)	4.1% - 30.0%	$	737.1	4.1% - 30.0%	$	695.9
Investment in MediaAlpha	Investment in MediaAlpha	27.6	%	166.9		28.0	%	261.6		Investment in MediaAlpha	35.7%	235.7		27.1%	168.6
PassportCard/DavidShield	PassportCard/DavidShield	53.8	%	132.0		53.8	%	120.0		PassportCard/DavidShield	53.8%	150.0		53.8%	135.0
Elementum Holdings, L.P.	Elementum Holdings, L.P.	29.7	%	45.0		29.7	%	45.0		Elementum Holdings, L.P.	26.6%	30.0		29.7%	30.0
Other equity method eligible investments, at fair value	Other equity method eligible investments, at fair value	Under 50.0%		106.5		Under 50.0%		109.3		Other equity method eligible investments, at fair value	Under 50.0%	263.4		Under 50.0%	84.4
Other equity method eligible investments, at fair value	Other equity method eligible investments, at fair value	50.0% and over		27.7		50.0% and over		17.8		Other equity method eligible investments, at fair value	50.0% and over	24.9		50.0% and over	—

(1) Ownership interest generally references basic ownership interest with the exception of Kudu’s Participation Contracts, which are ~~non-controlling~~noncontrolling equity interests in the form of revenue and earnings participation contracts.

For the three and six months ended June 30, 2023, White Mountains received dividend and income distributions from equity method eligible investments of $22.1 million and $28.5 million, which were recorded within net investment income in the consolidated statements of operations. For the three and six months ended June 30, 2022, White Mountains received dividend and income distributions from equity method eligible investments of $15.6 million and $28.7 million, which were recorded within net investment income in the consolidated statements of operations. For the three and six months ended June 30, 2021, White Mountains received dividend and income distributions from equity method eligible investments of $11.0 million, and $24.7 million, which were recorded within net investment income in the consolidated statements of operations.million.

Subsequent to the MediaAlpha IPO, White Mountains’s investment in MediaAlpha is accounted for at fair value based on the publicly traded share price of MediaAlpha’s common stock, and White Mountains presents its investment in MediaAlpha as a separate line item on the balance sheet. See ~~Note 2 — “Significant Transactions.”~~ For the six months ended June 30, 2022, ~~and 2021,~~ MediaAlpha was considered a significant subsidiary.

The following tables present summarized financial information for MediaAlpha as of June 30, ~~2022~~2023 and December 31, ~~2021~~2022 and for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~
2022:


Millions	Millions	June 30, 2022		December 31, 2021		Millions	June 30, 2023		December 31, 2022
Balance sheet data:	Balance sheet data:					Balance sheet data:
Total assets	Total assets	$	285.9	$	289.8	Total assets	$	140.2	$	170.1
Total liabilities	Total liabilities	$	345.4	$	351.4	Total liabilities	$	234.6	$	256.2


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Income statement data:	Income statement data:									Income statement data:
Total revenues	Total revenues	$	103.4	$	157.4	$	246.0	$	330.9	Total revenues	$	84.8	$	103.4	$	196.4	$	246.0
Total expenses	Total expenses	$	116.4	$	157.8	$	268.9	$	331.1	Total expenses	$	104.8	$	116.4	$	231.0	$	268.9
Net income (loss)	Net income (loss)	$	(13.0)	$	(.4)	$	(22.9)	$	(.2)	Net income (loss)	$	(20.0)	$	(13.0)	$	(34.6)	$	(22.9)

4342

Note 17. Fair Value of Financial Instruments

White Mountains records its financial instruments at fair value with the exception of debt obligations, which are recorded as debt at face value less unamortized original issue discount. See Note 7 — “Debt.”

The following ~~tables~~table presents the fair value and carrying value of these financial instruments as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022				December 31, 2021					June 30, 2023				December 31, 2022
Millions	Millions	Fair Value		Carrying Value		Fair Value		Carrying Value		Millions	Fair Value		Carrying Value		Fair Value		Carrying Value
HG Global Senior Notes	HG Global Senior Notes	$	144.8	$	146.3	$	—	$	—	HG Global Senior Notes	$	159.5	$	146.7	$	155.7	$	146.5
Ark 2007 Subordinated Notes	Ark 2007 Subordinated Notes	$	25.9	$	30.0	$	27.6	$	30.0	Ark 2007 Subordinated Notes	$	29.2	$	30.0	$	28.4	$	30.0
Ark 2021 Subordinated Notes	Ark 2021 Subordinated Notes	$	149.8	$	153.5	$	162.8	$	155.9	Ark 2021 Subordinated Notes	$	166.1	$	155.1	$	163.1	$	153.7
Kudu Credit Facility	Kudu Credit Facility	$	264.2	$	253.3	$	246.8	$	218.2	Kudu Credit Facility	$	224.9	$	203.7	$	223.9	$	208.3

Other Operations debt	Other Operations debt	$	35.4	$	35.0	$	17.7	$	16.8	Other Operations debt	$	33.0	$	30.6	$	38.2	$	36.7

The fair value estimates for the HG Global Senior Notes, Ark 2007 Subordinated Notes, Ark 2021 Subordinated Notes, Kudu Credit Facility and Other Operations debt have been determined based on a discounted cash flow approach and are considered to be Level 3 measurements.

For the fair value level measurements associated with White Mountains’s investment securities see Note 3 — “Investment Securities.” For the fair value level measurements associated with White Mountains’s derivative instruments see Note 9 — “Derivatives.”

Note 18. Commitments and Contingencies

Legal Contingencies

White Mountains, and the insurance industry in general, is routinely subject to claims related litigation and arbitration in the normal course of business, as well as litigation and arbitration that do not arise from, nor are directly related to, claims activity. White Mountains’s estimates of the costs of settling matters routinely encountered in claims activity are reflected in the reserves for unpaid loss and LAE. See Note 5 — “Losses and Loss Adjustment Expense Reserves.”

White Mountains considers the requirements of ASC 450 when evaluating its exposure to non-claims related litigation and arbitration. ASC 450 requires that accruals be established for litigation and arbitration if it is probable that a loss has been incurred and it can be reasonably estimated. ASC 450 also requires that litigation and arbitration be disclosed if it is probable that a loss has been incurred or if there is a reasonable possibility that a loss may have been incurred. White Mountains does not have any current non-claims related litigation that may have a material adverse effect on White Mountains’s financial condition, results of operations or cash flows.

Note 19. Held for Sale and Discontinued Operations

NSM

On August 1, 2022, White Mountains closed the ~~previously announced~~ NSM Transaction. See Note 2 — “Significant Transactions.” As a result of the NSM Transaction, ~~effective as of and for the periods ended June 30, 2022,~~ the assets and liabilities of NSM Group have been presented in the balance sheet as held for sale for periods prior to the closing of the transaction, and the results of operations for NSM Group have been classified as discontinued operations in the statements of operations and comprehensive ~~income.~~income through the closing of the transaction. Prior period amounts have been reclassified to conform to the current period’s presentation.

~~Sirius Group~~

On April 18, 2016, White Mountains completed the sale of Sirius International Insurance Group, Ltd. (“Sirius Group”) to CM International Pte. Ltd. and CM Bermuda Limited (collectively “CMI”). In connection with the sale, White Mountains indemnified Sirius Group against the loss of certain interest deductions claimed by Sirius Group related to periods prior to the sale of Sirius Group to CMI that had been disputed by the Swedish Tax Agency. In late October 2018, the Swedish Administrative Court ruled against Sirius Group on its appeal of the Swedish Tax Agency’s denial of these interest deductions. As a result, in 2018 White Mountains recorded a loss of $17.3 million within net gain (loss) on sale of discontinued operations reflecting the value of these interest deductions.

As of December 31, 2020, White Mountains’s liability related to the tax indemnification provided in connection with the sale of Sirius Group in 2016 was $18.7 million. In April 2021, the Swedish Tax Agency informed the Swedish Administrative Court of Appeal that Sirius Group should prevail in its appeal and that the interest deductions should not be disallowed. In June 2021, the Swedish Administrative Court of Appeal ruled in Sirius Group’s favor. For the six months ended June 30, 2021, White Mountains recorded a gain of $17.6 million in discontinued operations to reverse the liability accrued as of December 31, 2020 and $1.1 million gain related to foreign currency translation.

~~Summary of Reclassified Balances and Related Items~~

~~Net Assets Held for Sale~~

The following summarizes the assets and liabilities associated with NSM Group classified as held for sale. As of December 31, 2021, the amounts presented exclude $16.1 million of insurance licenses, investments and cash classified as assets held for sale related to one of the Other Operating Businesses.

Millions June 30, 2022 December 31, 2021
Assets held for sale
Short-term investments, at fair value $ — $ 7.8
Cash (restricted $108.9 and $89.2) 142.7 111.6
Premiums and commissions receivable 97.8 85.0
Goodwill and other intangible assets 698.1 725.4
Other assets 59.1 59.2
Total assets held for sale $ 997.7 $ 989.0
Liabilities held for sale
Debt $ 261.7 $ 272.1
Premiums payable 163.4 135.9
Contingent consideration — 6.8
Other liabilities 79.3 80.5
Total liabilities held for sale 504.4 495.3
Net assets held for sale $ 493.3 $ 493.7

Net Income (Loss) from Discontinued Operations

The following table summarizes the results of operations, including related income taxes associated with the businesses classified as discontinued operations for the three and six months ended June 30, ~~2022 and 2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	Three Months Ended June 30, 2022		Six Months Ended June 30, 2022
Revenues	Revenues									Revenues
Commission revenues	Commission revenues	$	80.2	$	68.0	$	150.3	$	127.6	Commission revenues	$	80.2	$	150.3
Other revenues	Other revenues	22.7		16.3		41.1		31.5		Other revenues	22.7		41.1
Total revenues - NSM Group		102.9		84.3		191.4		159.1
Total revenues										Total revenues	102.9		191.4
Expenses	Expenses									Expenses
General and administrative expenses	General and administrative expenses	57.1		47.7		111.1		93.5		General and administrative expenses	57.1		111.1
Broker commission expenses	Broker commission expenses	24.1		21.6		44.7		40.5		Broker commission expenses	24.1		44.7
Change in fair value of contingent consideration	Change in fair value of contingent consideration	—		—		.1		.2		Change in fair value of contingent consideration	—		.1
Amortization of other intangible assets	Amortization of other intangible assets	—		8.2		9.1		16.8		Amortization of other intangible assets	—		9.1
Loss on assets held for sale		—		—		—		28.7

Interest expense	Interest expense	8.4		5.9		10.5		11.8		Interest expense	8.4		10.5
Total expenses - NSM Group		89.6		83.4		175.5		191.5
Pre-tax income (loss) from NSM Group discontinued operations		13.3		.9		15.9		(32.4)
Total expenses										Total expenses	89.6		175.5
Pre-tax income (loss) from discontinued operations										Pre-tax income (loss) from discontinued operations	13.3		15.9
Income tax (expense) benefit	Income tax (expense) benefit	(6.9)		.2		(5.8)		3.3		Income tax (expense) benefit	(6.9)		(5.8)
Net income (loss) income from NSM Group discontinued operations		6.4		1.1		10.1		(29.1)
Net income (loss) from discontinued operations, net of tax										Net income (loss) from discontinued operations, net of tax	6.4		10.1

Gain (loss) from sale of Sirius Group, net of tax		—		—		—		18.7
Total income (loss) from discontinued operations, net of tax		6.4		1.1		10.1		(10.4)
Net (income) loss from discontinued operations attributable to non-controlling interests		(.5)		—		(.6)		1.1

Net (income) loss from discontinued operations attributable to noncontrolling interests										Net (income) loss from discontinued operations attributable to noncontrolling interests	(.5)		(.6)
Total income (loss) from discontinued operations attributable to White Mountains’s common shareholders	Total income (loss) from discontinued operations attributable to White Mountains’s common shareholders	5.9		1.1		9.5		(9.3)		Total income (loss) from discontinued operations attributable to White Mountains’s common shareholders	5.9		9.5
Other comprehensive income (loss) from NSM discontinued operations, net of tax		(4.0)		.5		(5.9)		2.6
Other comprehensive income (loss) from discontinued operations, net of tax										Other comprehensive income (loss) from discontinued operations, net of tax	(4.0)		(5.9)

Comprehensive income (loss) from discontinued operations	Comprehensive income (loss) from discontinued operations	1.9		1.6		3.6		(6.7)		Comprehensive income (loss) from discontinued operations	1.9		3.6
Other comprehensive income (loss) from NSM discontinued operations attributable to non-controlling interests		.2		—		.3		(.1)
Other comprehensive (income) loss from discontinued operations attributable to noncontrolling interests										Other comprehensive (income) loss from discontinued operations attributable to noncontrolling interests	.2		.3
Comprehensive income (loss) from discontinued operations attributable to White Mountains’s common shareholders	Comprehensive income (loss) from discontinued operations attributable to White Mountains’s common shareholders	$	2.1	$	1.6	$	3.9	$	(6.8)	Comprehensive income (loss) from discontinued operations attributable to White Mountains’s common shareholders	$	2.1	$	3.9

Net Change in Cash from Discontinued Operations

The following table summarizes the net change in cash associated with the businesses classified as discontinued operations for the six months ended June 30, ~~2022 and 2021:~~2022:

Six Months Ended June 30,
Millions 2022 2021
Net cash provided from (used for) operations $ 36.7 $ 42.4
Net cash provided from (used for) investing activities 7.1 (2.6)
Net cash used from (used for) financing activities (16.9) (11.2)
Effect of exchange rate changes on cash 4.2 (.4)
Net change in cash during the period 31.1 28.2
Cash balances at beginning of period (includes restricted cash of $89.2 and $78.4) 111.6 126.6
Cash balances at end of period (includes restricted cash of $108.9 and $90.3) 142.7 154.8
Supplemental cash flows information:
Interest paid $ 10.4 $ 11.1
Net income tax payments $ — $ —


Millions	Six Months Ended June 30, 2022
Net cash provided from (used for) operations	$	36.7
Net cash provided from (used for) investing activities	7.1
Net cash used from (used for) financing activities	(16.9)
Effect of exchange rate changes on cash	4.2
Net change in cash during the period	31.1
Cash balances at beginning of period (includes restricted cash of $89.2)	111.6

Cash balances at end of period (includes restricted cash of $108.9)	142.7
Supplemental cash flows information:
Interest paid	$	10.4
Net income tax payments	$	—

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Earnings Per Share from Discontinued Operations

White Mountains calculates earnings per share using the two-class method, which allocates earnings between common and unvested restricted common shares. Both classes of shares participate equally in earnings on a per share basis. Basic earnings per share amounts are based on the weighted average number of common shares outstanding adjusted for unvested restricted common shares. Diluted earnings per share amounts are also impacted by the net effect of potentially dilutive common shares outstanding. The following table presents the Company’s computation of earnings per share for discontinued operations for the three and six months ended June 30, ~~2022 and 2021:~~2022:


		Three Months Ended				Six Months Ended
		June 30,				June 30,
		2022		2021		2022		2021			Three Months Ended June 30, 2022		Six Months Ended June 30, 2022
Basic and diluted earnings per share numerators (in millions):	Basic and diluted earnings per share numerators (in millions):									Basic and diluted earnings per share numerators (in millions):
Net income (loss) attributable to White Mountains’s common shareholders	Net income (loss) attributable to White Mountains’s common shareholders	$	(169.2)	$	138.5	$	(135.8)	$	63.2	Net income (loss) attributable to White Mountains’s common shareholders	$	(169.2)	$	(135.8)
Less: net income (loss) from continuing operations	Less: net income (loss) from continuing operations	$	(216.6)	$	131.4	$	(228.7)	$	32.4	Less: net income (loss) from continuing operations	(216.6)		(228.7)
Less: net (income) loss from continuing operations attributable to non-controlling interests		$	41.5	$	6.0	$	83.4	$	40.1
Less: net (income) loss from continuing operations attributable to noncontrolling interests										Less: net (income) loss from continuing operations attributable to noncontrolling interests	41.5		83.4
Total gain (loss) from discontinued operations attributable to White Mountains’s common shareholders (1)	Total gain (loss) from discontinued operations attributable to White Mountains’s common shareholders (1)	$	5.9	$	1.1	$	9.5	$	(9.3)	Total gain (loss) from discontinued operations attributable to White Mountains’s common shareholders (1)	5.9		9.5
Allocation of earnings to participating restricted common shares (2)	Allocation of earnings to participating restricted common shares (2)	(.1)		—		(.1)		.1		Allocation of earnings to participating restricted common shares (2)	(.1)		(.1)
Basic and diluted earnings per share numerators (3)	Basic and diluted earnings per share numerators (3)	$	5.8	$	1.1	$	9.4	$	(9.2)	Basic and diluted earnings per share numerators (3)	$	5.8	$	9.4
Basic earnings per share denominators (in thousands):	Basic earnings per share denominators (in thousands):									Basic earnings per share denominators (in thousands):
Total average common shares outstanding during the period	Total average common shares outstanding during the period	2,979.0		3,107.8		2,992.5		3,104.0		Total average common shares outstanding during the period	2,979.0		2,992.5
Average unvested restricted common shares (4)	Average unvested restricted common shares (4)	(38.3)		(37.8)		(33.9)		(35.1)		Average unvested restricted common shares (4)	(38.3)		(33.9)
Basic earnings per share denominator	Basic earnings per share denominator	2,940.7		3,070.0		2,958.6		3,068.9		Basic earnings per share denominator	2,940.7		2,958.6
Diluted earnings per share denominator (in thousands):	Diluted earnings per share denominator (in thousands):									Diluted earnings per share denominator (in thousands):
Total average common shares outstanding during the period	Total average common shares outstanding during the period	2,979.0		3,107.8		2,992.5		3,104.0		Total average common shares outstanding during the period	2,979.0		2,992.5
Average unvested restricted common shares (4)	Average unvested restricted common shares (4)	(38.3)		(37.8)		(33.9)		(35.1)		Average unvested restricted common shares (4)	(38.3)		(33.9)

Diluted earnings per share denominator	Diluted earnings per share denominator	2,940.7		3,070.0		2,958.6		3,068.9		Diluted earnings per share denominator	2,940.7		2,958.6

Basic and diluted earnings (losses) per share (in dollars) - discontinued operations:		$	1.98	$	.35	$	3.17	$	(3.00)
Basic and diluted earnings (losses) per share (in dollars) - discontinued operations										Basic and diluted earnings (losses) per share (in dollars) - discontinued operations	$	1.98	$	3.17

(1) Includes net ~~gain (loss) from sale of Sirius Group, net of tax, net~~ income (loss) from ~~NSM Group~~ discontinued operations, net of tax ~~and net (income) loss from discontinued operations attributable to non-controlling interests.~~- NSM Group

(2) Restricted shares issued by White Mountains receive dividends, and therefore, are ~~therefore~~ considered participating securities.

(3) Net earnings attributable to White Mountains’s common shareholders, net of restricted share amounts, is equal to undistributed earnings for the three and six months ended June 30, ~~2022 and 2021.~~2022.

(4) Restricted shares outstanding vest upon a stated date. See Note 12 — “Employee Share-Based Incentive Compensation Plans.”

~~Note 20. Subsequent Event~~

~~On August 1, 2022, White Mountains closed the previously announced sale of NSM Group. See~~ ~~Note 2 — “Significant Transactions.”~~

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Item 2. Management’s Discussion and Analysis of Financial Condition and Results of Operations.

The following discussion contains “forward-looking statements.” White Mountains intends statements that are not historical in nature, which are hereby identified as forward-looking statements, to be covered by the safe harbor provisions of the Private Securities Litigation Reform Act of 1995. White Mountains cannot promise that its expectations in such forward-looking statements will turn out to be correct. White Mountains’s actual results could be materially different from and worse than its expectations. See “FORWARD-LOOKING STATEMENTS” on page 7874 for specific important factors that could cause actual results to differ materially from those contained in forward-looking statements.

The following discussion also includes ~~twelve~~five non-GAAP financial measures: (i) adjusted book value per share, (ii) BAM’s gross written premiums and member surplus contributions (“MSC”) from new business, (iii) Ark’s adjusted loss and LAE ratio, (iv) Ark’s adjusted insurance acquisition expense ratio, (v) Ark’s adjusted other underwriting expense ratio, (vi) Ark’s adjusted combined ratio (vii) Kudu’s earnings before interest, taxes, depreciation and amortization (“EBITDA”), ~~(viii)~~(iii) Kudu’s adjusted EBITDA, ~~(ix)~~(iv) total consolidated portfolio returns excluding MediaAlpha, ~~(x) NSM’s EBITDA, (xi) NSM’s adjusted EBITDA~~ and ~~(xii)~~(v) adjusted capital, that have been reconciled from their most comparable GAAP financial measures on page ~~75.~~72. White Mountains believes these measures to be useful in evaluating White Mountains’s financial performance and condition.

RESULTS OF OPERATIONS FOR THE THREE AND SIX MONTHS ENDED JUNE 30, ~~2022~~2023 AND ~~2021~~2022

Overview

White Mountains reported book value per share of $1,532 and adjusted book value per share of $1,576 as of June 30, 2023. Book value per share and adjusted book value per share both increased 1% in the second quarter of 2023 and increased 5% and 6% in the first six months of 2023, including dividends. The increases in book value per share and adjusted book value per share were driven primarily by solid results at the operating companies and positive investment returns. Results in the second quarter of 2023 were partially offset by the impact of mark-to-market losses from the decline in MediaAlpha’s share price.

White Mountains reported book value per share of $1,129 and adjusted book value per share of $1,152 as of June 30, 2022. Book value per share decreased 5% and adjusted book value per share decreased 4% in the second quarter of 2022. For the first six months of 2022, book value decreased 4% and adjusted book value decreased 3%, including dividends. Results were driven primarily by mark-to-market losses in White Mountains’s fixed income investment portfolio and the decline in MediaAlpha’s share price, partially offset by positive results at the operating ~~results within our consolidated businesses. White Mountains reported~~companies. As of June 30, 2022, book value per share ~~of $1,279~~would have been $1,429 and adjusted book value per share ~~of $1,292 as of June 30, 2021. Book value per share and adjusted book value per share both increased 4% in the second quarter of 2021 and 2% in the first six months of 2021,~~would have been $1,452 including ~~dividends. Results in the second quarter of 2021 were driven by positive operating results within our consolidated businesses as well as the increase in MediaAlpha’s share price.~~

On August 1, 2022, White Mountains closed the previously announced sale of NSM Group for cash to an affiliate of The Carlyle Group, Inc. (the “NSM Transaction”). The NSM Transaction valued NSM Group at an enterprise value of $1.775 billion. Including the estimated net gain of approximately $300 per share from the NSM ~~Transaction,~~Transaction.

In the first six months of 2023, White Mountains repurchased and retired 24,165 of its common shares for $33 million at an average share price of $1,354.88, 88% of White Mountains’s June 30, 2023 book value per share ~~would be $1,429~~ and 86% of White Mountains’s June 30, 2023 adjusted book value per ~~share would be $1,452 as~~share. As of June 30, 2022. The estimated net gain per share from the NSM Transaction increased by approximately $20 to $300 per share, due primarily to: (i) positive operating results at NSM in the pre-closing period, (ii) recording of certain compensation and other costs in connection with the transaction in2023, White Mountains’s second quarter financial statements and (iii) the impact of share repurchases decreasing the number of shares outstanding. Beginning in the second quarter of 2022, NSM Group’s results have been presented as discontinued operations.undeployed capital was approximately $680 million.

In the HG Global/BAM segment, gross written premiums and MSC collected totaled $26 million and $47 million in the second quarter and first six months of 2023 compared to $41 million and $63 million in the second quarter and first six months of ~~2022 compared to $30 million~~2022. Total pricing was 77 and ~~$56 million~~75 basis points in the second quarter and first six months of ~~2021. Total pricing was~~2023 compared to 70 and 67 basis points in the second quarter and first six months of ~~2022 compared to 59~~2022. BAM insured municipal bonds with par value of $3.4 billion and ~~65 basis points~~$6.3 billion in the second quarter and first six months of ~~2021. BAM insured municipal bonds with par value of~~2023 compared to $5.9 billion and $9.3 billion in the second quarter and first six months of ~~2022~~2022. BAM’s total claims paying resources were $1,451 million as of June 30, 2023 compared to ~~$5.1 billion~~$1,423 million as of December 31, 2022 and ~~$8.7 billion~~$1,228 million as of June 30, 2022. In July 2023, S&P Global Ratings affirmed BAM’s AA rating and Stable outlook.

The Ark/WM Outrigger segment’s combined ratio was 87% and 89% in the second quarter and first six months of ~~2021, which included $806~~2023. Ark/WM Outrigger reported gross written premiums of $606 million ~~from an assumed reinsurance transaction. BAM’s total claims paying resources were $1,228~~and $1,416 million, asnet written premiums of ~~June 30, 2022 compared to $1,192~~$461 million asand $1,075 million and net earned premiums of ~~December 31, 2021~~$293 million and ~~$1,165~~$548 million asin the second quarter and first six months of ~~June 30, 2021. On April 29, 2022, HG Global received~~2023. Ark/WM Outrigger reported pre-tax income of $52 million and $94 million in the ~~proceeds~~second quarter and first six months of ~~its new $150 million, 10-year term loan credit facility. In turn, on May 2, 2022, HG Global paid a $120 million cash dividend to shareholders, of which $116 million was paid to White Mountains.~~2023.

4846

~~Ark reported a GAAP~~Ark’s combined ratio was 89% and 91% in the second quarter and first six months of 2023 compared to 87% and 93% in the second quarter and first six months of ~~2022 compared to 90% and 99% in the second quarter and first six months of 2021.~~2022. Ark’s adjusted combined ratio, which adds back amounts attributable to TPC providers, was 86% and 93% in the second quarter and first six months of 2022 compared to 84% and 96% in the second quarter and first six months of 2021. The adjusted combined ratio in the second quarter and first six months of ~~2022~~2023 included 11four points of unfavorable prior year loss reserve development, primarily due to Winter Storm Elliott and three large claims in the property and marine & energy lines of business, compared to ten points and 14six points of ~~catastrophe losses compared to six points and 12 points~~favorable prior year loss reserve development in the second quarter and first six months of 2021. Catastrophe losses for the second quarter and first six months of 2022 included an estimate of incurred losses emanating from the ongoing conflict in Ukraine of seven points and nine points. The adjusted2022. Ark’s combined ratio in the second quarter and first six months of ~~2022 also~~2023 included 12five points and ~~seven~~three points of ~~favorable prior year development~~catastrophe losses compared to 1011 points and ~~five~~14 points of catastrophe losses, driven primarily by losses from the conflict in Ukraine, in the second quarter and first six months of ~~2021.~~2022. Ark reported gross written premiums of $606 million and $1,416 million, net written premiums of $403 million and $973 million and net earned premiums of $284 million and $534 million in the second quarter and first six months of 2023 compared to gross written premiums of $404 million and $1,037 million, net written premiums of $270 million and $814 million and net earned premiums of $217 million and $412 million in the second quarter and first six months of ~~2022 compared to gross written premiums~~2022. Ark reported pre-tax income (loss) of ~~$328~~$42 million and ~~$733 million, net written premiums of $262 million and $605 million and net earned premiums of $118 million and $222~~$78 million in the second quarter and first six months of ~~2021. Ark reported pre-tax income (loss) of~~2023 compared to $(21) million and $(45) million in the second quarter and first six months of ~~2022 compared to~~2022. Ark’s results included net realized and unrealized investment gains (losses) of $18 million and ~~$(15)~~$43 million in the second quarter and first six months of ~~2021. Ark’s results included net realized and unrealized investment gains (losses) of~~2023 compared to $(45) million and $(62) million in the second quarter and first six months of ~~2022 compared to $9~~2022.

WM Outrigger Re’s combined ratio was 25% and 24% in the second quarter and first six months of 2023. WM Outrigger Re reported gross and net written premiums of $58 million and $102 million and net earned premiums of $10 million and $15 million in the second quarter and first six months of ~~2021. Ark’s pre-tax loss for the first six months of 2021 also included $25 million of transaction expenses related to White Mountains’s transaction with Ark.~~2023.

Kudu reported total ~~revenue~~revenues of $19 million, pre-tax income of $10 million and adjusted EBITDA of $12 million in the second quarter of 2023 compared to total revenues of $(4) million, pre-tax loss of $10 million and adjusted EBITDA of $11 million in the second quarter of ~~2022~~2022. Kudu’s revenues and pre-tax income (loss) included $5 million of net realized and unrealized investment gains in the second quarter of 2023 compared to $18 million of net realized and unrealized investment losses in the second quarter of 2022.

Kudu reported total ~~revenue~~revenues of ~~$36~~$63 million, pre-tax income of ~~$31~~$45 million and adjusted EBITDA of $5$23 million in the ~~second quarter~~first six months of ~~2021. Total revenues and pre-tax income in the second quarter of 2022 included $18 million of net unrealized investment losses on Kudu’s participation contracts~~2023, compared to ~~$28 million of net unrealized investment gains on Kudu’s participation contracts in the second quarter of 2021. Kudu reported~~ total ~~revenue~~revenues of $31 million, pre-tax income of $19 million and adjusted EBITDA of $21 million in the first six months of ~~2022 compared to total revenue of $60 million, pre-tax income of $47 million and adjusted EBITDA of $11 million in the first six months of 2021. Total~~2022. Kudu’s revenues and pre-tax income in the first six months of ~~2022~~2023 included $5$34 million of net realized and unrealized ~~investment~~ gains ~~on Kudu’s participation contracts~~ compared to ~~$44~~$5 million ~~of net unrealized investment gains on Kudu’s participation contracts~~ in the first six months of ~~2021.~~2022.

During the second quarter of 2023, White Mountains completed a tender offer to purchase 5.9 million additional shares of MediaAlpha at a purchase price of $10.00 per share. As of June 30, ~~2022, the market~~2023, White Mountains owns 22.9 million shares of MediaAlpha, representing a 36% basic ownership interest (33% on a fully-diluted/fully-converted basis). As of June 30, 2023, MediaAlpha’s closing price was $10.31 per share, which decreased from $14.98 as of March 31, 2022. The carrying value of White Mountains’s investment in MediaAlpha was ~~$167~~$236 million ~~which was down from $280~~as of June 30, 2023 compared to $254 million as of March 31, ~~2022. As~~2023. The $18 million decline in MediaAlpha’s carrying value included $79 million of ~~June 30, 2022,~~unrealized investment losses attributable to the ~~closing price was $9.85 per share, which decreased from $16.55 at~~16.9 million shares of MediaAlpha owned by White Mountains as of March 31, ~~2022.~~2023, partially offset by a $59 million increase in the carrying value attributable to the shares acquired in the tender offer and $2 million of unrealized investment gains attributable to the newly acquired shares. Based on White Mountains’s ownership of ~~16.9 million shares of~~ MediaAlpha as of June 30, ~~2022,~~2023, each $1.00 per share increase or decrease in the stock price of MediaAlpha will result in an approximate ~~$5.80~~$9.00 per share increase or decrease in White Mountains’s book value per share and adjusted book value per share.

White Mountains’s ~~pre-tax~~total consolidated portfolio return on invested assets was 0.9% in the second quarter of 2023, which included $77 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 3.0% in the second quarter of 2023, driven primarily by net unrealized investment gains from other long-term investments, net realized and unrealized investment gains from common equity securities and net investment income in the fixed income portfolio. White Mountains’s total consolidated portfolio return on invested assets was -4.7% in the second quarter of ~~2022. This return~~2022, which included $114 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -2.1% in the second quarter of ~~2022.~~

~~Excluding MediaAlpha, investment returns in the second quarter of~~ 2022, ~~were~~ driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates.

White Mountains’s ~~pre-tax~~ total consolidated portfolio return on invested assets was ~~5.0%~~5.5% in the ~~second quarter~~first six months of ~~2021. This return~~2023, which included ~~$113~~$8 million of unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was ~~2.4%~~6.1% in the ~~second quarter~~first six months of ~~2021. Excluding MediaAlpha, investment returns in the second quarter of 2021 were~~2023, driven primarily by ~~favorable~~net realized and unrealized investment gains from other long-term investments ~~results~~ and common equity securities, as well as net investment income in the ~~impact of the flattening yield curve on White Mountains’s short duration~~ fixed income portfolio.

White Mountains’s ~~pre-tax~~ total consolidated portfolio return on invested assets was -4.0% in the first six months of ~~2022. This return~~2022, which included $95 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -1.9% in the first six months of ~~2022. Excluding MediaAlpha, investment returns in the first six months of~~ 2022, ~~were~~ driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates, partially offset by favorable other long-term investment results. White Mountains’s pre-tax total consolidated portfolio return on invested assets was 4.7% in the first six months of 2021. This return included $71 million of net realized and unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 3.1% in the first six months of 2021. Excluding MediaAlpha, investment returns in the first six months of 2021 were driven primarily by favorable other long-term investment results.

Within the results from discontinued operations, NSM reported commission and other revenues of $103 million, pre-tax income of $13 million and adjusted EBITDA of $29 million in the second quarter of 2022 compared to commission and other revenues of $84 million, pre-tax income of $1 million and adjusted EBITDA of $19 million in the second quarter of 2021. NSM reported commission and other revenues of $191 million, pre-tax income of $16 million and adjusted EBITDA of $47 million in the first six months of 2022 compared to commission and other revenues of $159 million, pre-tax loss of $32 million and adjusted EBITDA of $33 million in the first six months of 2021.

4947

Adjusted Book Value Per Share

The following table presents White Mountains’s book value per share and reconciles it to adjusted book value per share, a non-GAAP measure as of June 30, ~~2022,~~2023, March 31, ~~2022,~~2023, December 31, ~~2021,~~2022, and June 30, ~~2021.~~2022. See NON-GAAP FINANCIAL MEASURES on page ~~75.~~72.


		June 30, 2022		March 31, 2022		December 31, 2021		June 30, 2021
Millions										Millions	June 30, 2023		March 31, 2023		December 31, 2022		June 30, 2022
Book value per share numerators (in millions):	Book value per share numerators (in millions):									Book value per share numerators (in millions):
White Mountains’s common shareholders’ equity - GAAP book value per share numerator	White Mountains’s common shareholders’ equity - GAAP book value per share numerator	$	3,323.3	$	3,542.1	$	3,548.1	$	3,978.2	White Mountains’s common shareholders’ equity - GAAP book value per share numerator	$	3,922.2	$	3,902.4	$	3,746.9	$	3,323.3

Time value of money discount on expected future payments on the BAM Surplus Notes (1)	Time value of money discount on expected future payments on the BAM Surplus Notes (1)	(115.9)		(120.9)		(125.9)		(132.8)		Time value of money discount on expected future payments on the BAM Surplus Notes (1)	(91.8)		(93.4)		(95.1)		(115.9)
HG Global’s unearned premium reserve (1)	HG Global’s unearned premium reserve (1)	221.6		215.8		214.6		201.5		HG Global’s unearned premium reserve (1)	246.8		243.3		242.1		221.6
HG Global’s net deferred acquisition costs (1)	HG Global’s net deferred acquisition costs (1)	(62.6)		(60.6)		(60.8)		(56.3)		HG Global’s net deferred acquisition costs (1)	(70.7)		(69.4)		(69.0)		(62.6)
Adjusted book value per share numerator	Adjusted book value per share numerator	$	3,366.4	$	3,576.4	$	3,576.0	$	3,990.6	Adjusted book value per share numerator	$	4,006.5	$	3,982.9	$	3,824.9	$	3,366.4
Book value per share denominators (in thousands of shares):	Book value per share denominators (in thousands of shares):									Book value per share denominators (in thousands of shares):
Common shares outstanding - GAAP book value per share denominator	Common shares outstanding - GAAP book value per share denominator	2,942.9		2,994.2		3,017.8		3,109.2		Common shares outstanding - GAAP book value per share denominator	2,560.4		2,564.5		2,572.1		2,942.9
Unearned restricted common shares	Unearned restricted common shares	(20.9)		(24.2)		(13.7)		(20.6)		Unearned restricted common shares	(19.0)		(22.3)		(14.1)		(20.9)

Adjusted book value per share denominator	Adjusted book value per share denominator	2,922.0		2,970.0		3,004.1		3,088.6		Adjusted book value per share denominator	2,541.4		2,542.2		2,558.0		2,922.0
GAAP book value per share	GAAP book value per share	$	1,129.27	$	1,183.00	$	1,175.73	$	1,279.49	GAAP book value per share	$	1,531.84	$	1,521.73	$	1,456.74	$	1,129.27
Adjusted book value per share	Adjusted book value per share	$	1,152.12	$	1,204.17	$	1,190.39	$	1,292.03	Adjusted book value per share	$	1,576.46	$	1,566.73	$	1,495.28	$	1,152.12
Year-to-date dividends paid per share	Year-to-date dividends paid per share	$	1.00	$	1.00	$	1.00	$	1.00	Year-to-date dividends paid per share	$	1.00	$	1.00	$	1.00	$	1.00

(1) Amount reflects White Mountains’s preferred share ownership in HG Global of 96.9%.

Goodwill and Other Intangible Assets

The following table presents ~~a summary of~~ goodwill and other intangible assets that are included in White Mountains’s adjusted book value as of June 30, ~~2022,~~2023, March 31, ~~2022,~~2023, December 31, ~~2021,~~2022, and June 30, ~~2021:~~2022:


Millions	Millions	June 30, 2022		March 31, 2022		December 31, 2021		June 30, 2021		Millions	June 30, 2023		March 31, 2023		December 31, 2022		June 30, 2022
Goodwill:	Goodwill:									Goodwill:
Ark	Ark	$	116.8	$	116.8	$	116.8	$	116.8	Ark	$	116.8	$	116.8	$	116.8	$	116.8

Kudu	Kudu	7.6		7.6		7.6		7.6		Kudu	7.6		7.6		7.6		7.6
Other Operations (1)	Other Operations (1)	77.4		17.9		17.9		27.1		Other Operations (1)	44.4		44.4		52.1		77.4
Total goodwill	Total goodwill	201.8		142.3		142.3		151.5		Total goodwill	168.8		168.8		176.5		201.8
Other intangible assets:	Other intangible assets:									Other intangible assets:
Ark	Ark	175.7		175.7		175.7		175.7		Ark	175.7		175.7		175.7		175.7

Kudu	Kudu	1.1		1.3		1.3		1.5		Kudu	.8		.9		1.0		1.1
Other Operations (1)	Other Operations (1)	19.4		20.2		21.2		23.9		Other Operations (1)	28.3		30.8		39.2		19.4
Total other intangible assets	Total other intangible assets	196.2		197.2		198.2		201.1		Total other intangible assets	204.8		207.4		215.9		196.2
Total goodwill and other intangible assets (2)	Total goodwill and other intangible assets (2)	398.0		339.5		340.5		352.6		Total goodwill and other intangible assets (2)	$	373.6	$	376.2	$	392.4	$	398.0
Goodwill and other intangible assets attributed to non-controlling interests	Goodwill and other intangible assets attributed to non-controlling interests	(103.4)		(91.8)		(91.8)		(92.4)		Goodwill and other intangible assets attributed to non-controlling interests	$	(95.4)	$	(95.7)	$	(102.7)	$	(103.4)
Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity	Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity	$	294.6	$	247.7	$	248.7	$	260.2	Goodwill and other intangible assets included in White Mountains’s common shareholders’ equity	$	278.2	$	280.5	$	289.7	$	294.6

(1)The relative fair values of goodwill and other intangible assets recognized in connection with recent acquisitions within Other Operations had not yet been finalized at June 30, ~~2022 and 2021.~~2022.

(2) See Note 4 — “Goodwill and Other Intangible Assets” on page 23for details of ~~goodwill and~~ other intangible assets.

5048

Summary of Consolidated Results

The following table presents White Mountains’s consolidated financial results for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended				Six Months Ended
		June 30,				June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Revenues	Revenues									Revenues

Financial Guarantee revenues	Financial Guarantee revenues	$	(13.2)	$	17.4	$	(44.5)	$	10.7	Financial Guarantee revenues	$	5.9	$	(13.2)	$	38.6	$	(44.5)
P&C Insurance and Reinsurance revenues	P&C Insurance and Reinsurance revenues	182.2		130.5		357.9		239.6		P&C Insurance and Reinsurance revenues	323.0		182.2		610.5		357.9

Asset Management revenues	Asset Management revenues	(3.8)		36.2		31.1		60.3		Asset Management revenues	19.3		(3.8)		63.1		31.1

Other Operations revenues	Other Operations revenues	(88.5)		158.3		(7.4)		135.2		Other Operations revenues	30.2		(88.5)		198.1		(7.4)
Total revenues	Total revenues	76.7		342.4		337.1		445.8		Total revenues	378.4		76.7		910.3		337.1
Expenses	Expenses									Expenses
Financial Guarantee expenses	Financial Guarantee expenses	25.6		15.5		44.9		33.8		Financial Guarantee expenses	18.9		25.6		43.4		44.9
P&C Insurance and Reinsurance expenses	P&C Insurance and Reinsurance expenses	203.6		112.7		402.4		254.3		P&C Insurance and Reinsurance expenses	271.2		203.6		516.6		402.4

Asset Management expenses	Asset Management expenses	6.4		4.8		12.0		13.2		Asset Management expenses	9.3		6.4		17.8		12.0

Other Operations expenses	Other Operations expenses	73.7		48.0		125.2		88.5		Other Operations expenses	61.6		73.7		116.0		125.2
Total expenses	Total expenses	309.3		181.0		584.5		389.8		Total expenses	361.0		309.3		693.8		584.5
Pre-tax income (loss)	Pre-tax income (loss)									Pre-tax income (loss)
Financial Guarantee pre-tax income (loss)	Financial Guarantee pre-tax income (loss)	(38.8)		1.9		(89.4)		(23.1)		Financial Guarantee pre-tax income (loss)	(13.0)		(38.8)		(4.8)		(89.4)
P&C Insurance and Reinsurance pre-tax income (loss)	P&C Insurance and Reinsurance pre-tax income (loss)	(21.4)		17.8		(44.5)		(14.7)		P&C Insurance and Reinsurance pre-tax income (loss)	51.8		(21.4)		93.9		(44.5)

Asset Management pre-tax income (loss)	Asset Management pre-tax income (loss)	(10.2)		31.4		19.1		47.1		Asset Management pre-tax income (loss)	10.0		(10.2)		45.3		19.1

Other Operations pre-tax income (loss)	Other Operations pre-tax income (loss)	(162.2)		110.3		(132.6)		46.7		Other Operations pre-tax income (loss)	(31.4)		(162.2)		82.1		(132.6)
Total pre-tax income (loss) from continuing operations	Total pre-tax income (loss) from continuing operations	(232.6)		161.4		(247.4)		56.0		Total pre-tax income (loss) from continuing operations	17.4		(232.6)		216.5		(247.4)
Income tax (expense) benefit	Income tax (expense) benefit	16.0		(30.0)		18.7		(23.6)		Income tax (expense) benefit	(.2)		16.0		(12.1)		18.7
Net income (loss) from continuing operations	Net income (loss) from continuing operations	(216.6)		131.4		(228.7)		32.4		Net income (loss) from continuing operations	17.2		(216.6)		204.4		(228.7)
Gain (loss) on sale of Sirius Group, net of tax		—		—		—		18.7
Net income (loss) from NSM Group discontinued operations, net of tax		6.4		1.1		10.1		(29.1)
Net income (loss) from discontinued operations, net of tax - NSM Group										Net income (loss) from discontinued operations, net of tax - NSM Group	—		6.4		—		10.1

Net income (loss)	Net income (loss)	(210.2)		132.5		(218.6)		22.0		Net income (loss)	17.2		(210.2)		204.4		(218.6)
Net (income) loss attributable to non-controlling interests		41.0		6.0		82.8		41.2
Net (income) loss attributable to noncontrolling interests										Net (income) loss attributable to noncontrolling interests	2.4		41.0		(5.3)		82.8
Net income (loss) attributable to White Mountains’s common shareholders	Net income (loss) attributable to White Mountains’s common shareholders	(169.2)		138.5		(135.8)		63.2		Net income (loss) attributable to White Mountains’s common shareholders	19.6		(169.2)		199.1		(135.8)
Other comprehensive income (loss), net of tax	Other comprehensive income (loss), net of tax	(1.1)		.5		(1.5)		.2		Other comprehensive income (loss), net of tax	1.4		(1.1)		2.6		(1.5)
Other comprehensive income (loss) from NSM Group discontinued operations, net of tax		(4.0)		.5		(5.9)		2.6
Other comprehensive income (loss) from discontinued operations, net of tax - NSM Group										Other comprehensive income (loss) from discontinued operations, net of tax - NSM Group	—		(4.0)		—		(5.9)

Comprehensive income (loss)	Comprehensive income (loss)	(174.3)		139.5		(143.2)		66.0		Comprehensive income (loss)	21.0		(174.3)		201.7		(143.2)
Other comprehensive (income) loss attributable to non-controlling interests		.5		(.1)		.7		(.2)
Other comprehensive (income) loss attributable to noncontrolling interests										Other comprehensive (income) loss attributable to noncontrolling interests	(.4)		.5		(.8)		.7
Comprehensive income (loss) attributable to White Mountains’s common shareholders	Comprehensive income (loss) attributable to White Mountains’s common shareholders	$	(173.8)	$	139.4	$	(142.5)	$	65.8	Comprehensive income (loss) attributable to White Mountains’s common shareholders	$	20.6	$	(173.8)	$	200.9	$	(142.5)

5149

I. ~~Summary of Operations By Segment~~SUMMARY OF OPERATIONS BY SEGMENT

As of June 30, ~~2022,~~2023, White Mountains conducted its operations through ~~four~~three segments: (1) HG Global/BAM, (2) ~~Ark,~~Ark/WM Outrigger, and (3) Kudu, with our remaining operating businesses, holding companies and ~~(4)~~other assets included in Other Operations. ~~A discussion~~White Mountains has made its segment determination based on consideration of the following criteria: (i) the nature of the business activities of each of the Company’s subsidiaries and affiliates; (ii) the manner in which the Company’s subsidiaries and affiliates are organized; (iii) the existence of primary managers responsible for specific subsidiaries and affiliates; and (iv) the organization of information provided to the Company’s chief operating decision makers and its Board of Directors. Significant intercompany transactions among White Mountains’s ~~consolidated investment operations is included after the discussion of operations by segment.~~segments have been eliminated herein. White Mountains’s segment information is presented in Note 1514 — “Segment Information”to the Consolidated Financial Statements.

During the fourth quarter of 2022, Ark sponsored the formation of Outrigger Re Ltd. to provide reinsurance protection on Ark’s Bermuda global property catastrophe excess of loss portfolio written in calendar year 2023. White Mountains consolidates its segregated account of Outrigger Re Ltd., WM Outrigger Re, in its financial statements. WM Outrigger Re’s quota share reinsurance agreement with GAIL eliminates in White Mountains’s consolidated financial statements. WM Outrigger Re exclusively provides reinsurance protection to Ark. As a result, WM Outrigger Re was aggregated with Ark within the Ark/WM Outrigger segment starting in 2023. See Note 2 — “Significant Transactions.” As a result of the NSM Transaction, the results of operations for NSM, ~~Group~~previously reported as a segment, have been classified as discontinued operations ~~and are presented separately, net of related income taxes,~~ in the ~~statement~~statements of operations and comprehensive ~~income. Prior year amounts have been reclassified to conform to~~income through the ~~current period’s presentation.~~closing of the transaction. See Note 19 — “Held for Sale and Discontinued Operations.” Prior period amounts have been reclassified to conform to the current period’s presentation.

HG Global/BAM

HG Global/BAM consists of the consolidated results of HG Global, HG Re and BAM. BAM is the first and only mutual municipal bond insurance company in the United States. By insuring the timely payment of principal and interest, BAM provides market access to, and lowers interest expense for, issuers of municipal bonds used to finance essential public purpose projects, such as schools, utilities and transportation facilities. BAM is owned by and operated for the benefit of its members, the municipalities that purchase BAM’s insurance for their debt issuances. HG Global was established to fund the startup of BAM and, through HG Re, to provide up to 15%-of-par, first loss reinsurance protection for policies underwritten by BAM.

The following tables present the components of pre-tax income (loss) included in ~~White Mountains’s~~the HG Global/BAM segment related to the consolidation of HG Global, which includes HG Re and its other wholly-owned subsidiaries, and BAM for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30, 2022									Three Months Ended June 30, 2023
Millions	Millions	HG Global		BAM		Eliminations		Total		Millions	HG Global		BAM		Eliminations		Total
Direct written premiums	Direct written premiums	$	—	$	17.1	$	—	$	17.1	Direct written premiums	$	—	$	11.6	$	—	$	11.6
Assumed written premiums	Assumed written premiums	14.7		—		(14.7)		—		Assumed written premiums	10.0		—		(10.0)		—
Gross written premiums	Gross written premiums	14.7		17.1		(14.7)		17.1		Gross written premiums	10.0		11.6		(10.0)		11.6
Ceded written premiums	Ceded written premiums	—		(14.7)		14.7		—		Ceded written premiums	—		(10.0)		10.0		—
Net written premiums	Net written premiums	$	14.7	$	2.4	$	—	$	17.1	Net written premiums	$	10.0	$	1.6	$	—	$	11.6

Earned insurance premiums	Earned insurance premiums	$	8.7	$	1.8	$	—	$	10.5	Earned insurance premiums	$	6.4	$	1.3	$	—	$	7.7
Net investment income	Net investment income	2.2		2.6		—		4.8		Net investment income	4.1		3.5		—		7.6
Net investment income - BAM Surplus Notes	Net investment income - BAM Surplus Notes	3.0		—		(3.0)		—		Net investment income - BAM Surplus Notes	6.5		—		(6.5)		—
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(14.7)		(15.4)		—		(30.1)		Net realized and unrealized investment gains (losses)	(5.7)		(4.2)		—		(9.9)
Other revenues	Other revenues	.1		1.5		—		1.6		Other revenues	—		.5		—		.5
Total revenues	Total revenues	(0.7)		(9.5)		(3.0)		(13.2)		Total revenues	11.3		1.1		(6.5)		5.9
Insurance acquisition expenses		3.4		1.4		—		4.8
Acquisition expenses										Acquisition expenses	1.8		(.3)		—		1.5

General and administrative expenses	General and administrative expenses	.8		16.6		—		17.4		General and administrative expenses	.3		14.6		—		14.9
Interest expense - HG Global Senior Notes		3.4		—		—		3.4
Interest expense (1)										Interest expense (1)	2.7		—		—		2.7
Interest expense - BAM Surplus Notes	Interest expense - BAM Surplus Notes	—		3.0		(3.0)		—		Interest expense - BAM Surplus Notes	—		6.5		(6.5)		—
Total expenses	Total expenses	7.6		21.0		(3.0)		25.6		Total expenses	4.8		20.8		(6.5)		19.1
Pre-tax income (loss)	Pre-tax income (loss)	$	(8.3)	$	(30.5)	$	—	$	(38.8)	Pre-tax income (loss)	$	6.5	$	(19.7)	$	—	$	(13.2)
Supplemental information:	Supplemental information:									Supplemental information:
MSC collected ~~(1)~~(2)	MSC collected ~~(1)~~(2)	$	—	$	24.0	$	—	$	24.0	MSC collected ~~(1)~~(2)	$	—	$	14.7	$	—	$	14.7

(1) Amount includes $0.2 of intercompany interest expense that is eliminated in White Mountains’s consolidated financial statements. For segment reporting, HG Global’s intercompany interest expense included within the HG Global/BAM segment is eliminated against the offsetting intercompany interest income included within Other Operations.

(2) MSC collected are recorded directly to BAM’s equity, which is recorded as noncontrolling interest on White Mountains’s balance sheet.


	Three Months Ended June 30, 2022
Millions	HG Global		BAM		Eliminations		Total
Direct written premiums	$	—	$	17.1	$	—	$	17.1
Assumed written premiums	14.7		—		(14.7)		—
Gross written premiums	14.7		17.1		(14.7)		17.1
Ceded written premiums	—		(14.7)		14.7		—
Net written premiums	$	14.7	$	2.4	$	—	$	17.1

Earned insurance premiums	$	8.7	$	1.8	$	—	$	10.5
Net investment income	2.2		2.6		—		4.8
Net investment income - BAM Surplus Notes	3.0		—		(3.0)		—
Net realized and unrealized investment gains	(14.7)		(15.4)		—		(30.1)
Other revenues	.1		1.5		—		1.6
Total revenues	(.7)		(9.5)		(3.0)		(13.2)
Acquisition expenses	3.4		1.4		—		4.8

General and administrative expenses	.8		16.6		—		17.4
Interest expense	3.4		—		—		3.4
Interest expense - BAM Surplus Notes	—		3.0		(3.0)		—
Total expenses	7.6		21.0		(3.0)		25.6
Pre-tax income (loss)	$	(8.3)	$	(30.5)	$	—	$	(38.8)
Supplemental information:
MSC collected (1)	$	—	$	24.0	$	—	$	24.0

(1) MSC collected are recorded directly to BAM’s equity, which is recorded as ~~non-controlling~~noncontrolling interest on White Mountains’s balance sheet.


	Six Months Ended June 30, 2023
Millions	HG Global		BAM		Eliminations		Total
Direct written premiums	$	—	$	20.8	$	—	$	20.8
Assumed written premiums	17.7		—		(17.7)		—
Gross written premiums	17.7		20.8		(17.7)		20.8
Ceded written premiums	—		(17.7)		17.7		—
Net written premiums	$	17.7	$	3.1	$	—	$	20.8

Earned insurance premiums	$	12.8	$	2.6	$	—	$	15.4
Net investment income	8.1		6.7		—		14.8
Net investment income - BAM Surplus Notes	13.1		—		(13.1)		—
Net realized and unrealized investment gains (losses)	2.2		4.9		—		7.1
Other revenues	—		1.3		—		1.3
Total revenues	36.2		15.5		(13.1)		38.6
Acquisition expenses	3.6		.6		—		4.2

General and administrative expenses	1.4		30.8		—		32.2
Interest expense (1)	7.2		—		—		7.2
Interest expense - BAM Surplus Notes	—		13.1		(13.1)		—
Total expenses	12.2		44.5		(13.1)		43.6
Pre-tax income (loss)	$	24.0	$	(29.0)	$	—	$	(5.0)
Supplemental information:
MSC collected (2)	$	—	$	26.5	$	—	$	26.5

(2) MSC collected are recorded directly to BAM’s equity, which is recorded as noncontrolling interest on White Mountains’s balance sheet.


		Three Months Ended June 30, 2021									Six Months Ended June 30, 2022
Millions	Millions	HG Global		BAM		Eliminations		Total		Millions	HG Global		BAM		Eliminations		Total
Direct written premiums	Direct written premiums	$	—	$	13.8	$	—	$	13.8	Direct written premiums	$	—	$	26.5	$	—	$	26.5
Assumed written premiums	Assumed written premiums	11.8		—		(11.8)		—		Assumed written premiums	22.8		—		(22.8)		—
Gross written premiums	Gross written premiums	11.8		13.8		(11.8)		13.8		Gross written premiums	22.8		26.5		(22.8)		26.5
Ceded written premiums	Ceded written premiums	—		(11.8)		11.8		—		Ceded written premiums	—		(22.8)		22.8		—
Net written premiums	Net written premiums	$	11.8	$	2.0	$	—	$	13.8	Net written premiums	$	22.8	$	3.7	$	—	$	26.5

Earned insurance premiums	Earned insurance premiums	$	5.3	$	1.2	$	—	$	6.5	Earned insurance premiums	$	15.6	$	3.3	$	—	$	18.9
Net investment income	Net investment income	1.7		2.6		—		4.3		Net investment income	4.3		5.1		—		9.4
Net investment income - BAM Surplus Notes	Net investment income - BAM Surplus Notes	3.0		—		(3.0)		—		Net investment income - BAM Surplus Notes	5.9		—		(5.9)		—
Net realized and unrealized investment gains		2.4		3.9		—		6.3
Net realized and unrealized investment gains (losses)										Net realized and unrealized investment gains (losses)	(38.2)		(37.0)		—		(75.2)
Other revenues	Other revenues	.1		.2		—		.3		Other revenues	.2		2.2		—		2.4
Total revenues	Total revenues	12.5		7.9		(3.0)		17.4		Total revenues	(12.2)		(26.4)		(5.9)		(44.5)
Insurance acquisition expenses		1.3		.3		—		1.6
Acquisition expenses										Acquisition expenses	6.0		1.8		—		7.8

General and administrative expenses	General and administrative expenses	.5		13.4		—		13.9		General and administrative expenses	1.5		32.2		—		33.7
Interest expense										Interest expense	3.4		—		—		3.4
Interest expense - BAM Surplus Notes	Interest expense - BAM Surplus Notes	—		3.0		(3.0)		—		Interest expense - BAM Surplus Notes	—		5.9		(5.9)		—
Total expenses	Total expenses	1.8		16.7		(3.0)		15.5		Total expenses	10.9		39.9		(5.9)		44.9
Pre-tax income (loss)	Pre-tax income (loss)	$	10.7	$	(8.8)	$	—	$	1.9	Pre-tax income (loss)	$	(23.1)	$	(66.3)	$	—	$	(89.4)
Supplemental information:	Supplemental information:									Supplemental information:
MSC collected (1)	MSC collected (1)	$	—	$	16.3	$	—	$	16.3	MSC collected (1)	$	—	36.3		$	—	$	36.3

(1) MSC collected are recorded directly to BAM’s equity, which is recorded as ~~non-controlling interest on White Mountains’s balance sheet.~~

Six Months Ended June 30, 2022
Millions HG Global BAM Eliminations Total
Direct written premiums $ — $ 26.5 $ — $ 26.5
Assumed written premiums 22.8 — (22.8) —
Gross written premiums 22.8 26.5 (22.8) 26.5
Ceded written premiums — (22.8) 22.8 —
Net written premiums $ 22.8 $ 3.7 $ — $ 26.5
Earned insurance premiums $ 15.6 $ 3.3 $ — $ 18.9
Net investment income 4.3 5.1 — 9.4
Net investment income - BAM Surplus Notes 5.9 — (5.9) —
Net realized and unrealized investment gains (losses) (38.2) (37.0) — (75.2)
Other revenues .2 2.2 — 2.4
Total revenues (12.2) (26.4) (5.9) (44.5)
Insurance acquisition expenses 6.0 1.8 — 7.8
General and administrative expenses 1.5 32.2 — 33.7
Interest expense - HG Global Senior Notes 3.4 — — 3.4
Interest expense - BAM Surplus Notes — 5.9 (5.9) —
Total expenses 10.9 39.9 (5.9) 44.9
Pre-tax income (loss) $ (23.1) $ (66.3) $ — $ (89.4)
Supplemental information:
MSC collected (1)
$ — $ 36.3 $ — $ 36.3

~~(1)~~ ~~MSC collected are recorded directly to BAM’s equity, which is recorded as non-controlling interest on White Mountains’s balance sheet.~~

Six Months Ended June 30, 2021
Millions HG Global BAM Eliminations Total
Direct written premiums $ — $ 21.8 $ — $ 21.8
Assumed written premiums 22.5 4.5 (22.5) 4.5
Gross written premiums 22.5 26.3 (22.5) 26.3
Ceded written premiums — (22.5) 22.5 —
Net written premiums $ 22.5 $ 3.8 $ — $ 26.3
Earned insurance premiums $ 10.6 $ 2.3 $ — $ 12.9
Net investment income 3.5 5.3 — 8.8
Net investment income - BAM Surplus Notes 6.0 — (6.0) —
Net realized and unrealized investment losses (7.5) (4.1) — (11.6)
Other revenues .2 .4 — .6
Total revenues 12.8 3.9 (6.0) 10.7
Insurance acquisition expenses 2.8 .7 — 3.5
General and administrative expenses 1.1 29.2 — 30.3
Interest expense - BAM Surplus Notes — 6.0 (6.0) —
Total expenses 3.9 35.9 (6.0) 33.8
Pre-tax income (loss) $ 8.9 $ (32.0) $ — $ (23.1)
Supplemental information:
MSC collected (1)
$ — 30.1 $ — $ 30.1

~~(1)~~ ~~MSC are recorded directly to BAM’s equity, which is recorded as non-controlling~~noncontrolling interest on White Mountains’s balance sheet.

HG Global/BAM Results—Three Months Ended June 30, ~~2022~~2023 versus Three Months Ended June 30, ~~2021~~

BAM is required to prepare its financial statements on a statutory accounting basis for the NYDFS and does not report stand-alone GAAP financial results. BAM charges an insurance premium on each municipal bond insurance policy it writes. A portion of the premium is MSC and the remainder is a risk premium. In the event of a municipal bond refunding, a portion of the MSC from original issuance can be reutilized, in effect serving as a credit against the total insurance premium on the refunding of the municipal bond.2022

Gross written premiums and MSC collected in the HG Global/BAM segment totaled $26 million in the second quarter of 2023 compared to $41 million in the second quarter of ~~2022 compared to $30 million~~2022. BAM insured $3.4 billion of municipal bonds, $2.9 billion of which were in the primary market, in the second quarter of ~~2021. BAM insured~~2023 compared to $5.9 billion of municipal bonds, $4.1 billion of which were in the primary market, in the second quarter of ~~2022 compared to $5.1 billion of municipal bonds, $4.8 billion of which were~~2022.

Insured penetration in the primary market increased to 10.1% in the second quarter of ~~2021. Demand remained strong for insured bonds~~2023, driven primarily by demand from large deals in the ~~primary market, as insured penetration in the primary market was~~period, compared to 9.1% in the second quarter of ~~2022 compared to 9.0% in the second quarter of 2021.~~2022.

Total pricing, which reflects both gross written premiums and MSC, ~~from new business,~~ increased to 77 basis points in the second quarter of 2023 compared to 70 basis points in the second quarter of ~~2022 compared~~2022. The increase in total pricing was driven by higher pricing in both the primary and secondary markets. Pricing in the primary market increased to 5956 basis points in the second quarter of ~~2021. See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75. The increase in total pricing was driven primarily by increased secondary market activity in the second quarter of 2022~~2023 compared ~~to the second quarter of 2021. Pricing in the primary market decreased~~ to 49 basis points in the second quarter of ~~2022 compared to 51 basis points in the second quarter of 2021.~~2022. Pricing in the ~~combined~~ secondary ~~and assumed reinsurance markets,~~market, which is more transaction specific than pricing in the primary market, ~~decreased~~increased to 200 basis points in the second quarter of 2023 compared to 121 basis points in the second quarter of ~~2022 compared to 175 basis points in the second quarter of 2021.~~

2022.

The following table presents the gross par value of primary and secondary market policies issued, the gross ~~par value of assumed reinsurance, the gross~~ written premiums and MSC collected and total pricing for the three months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,					Three Months Ended June 30,
$ in Millions	$ in Millions	2022		2021		$ in Millions	2023		2022

Gross par value of primary market policies issued	Gross par value of primary market policies issued	$	4,123.7	$	4,815.5	Gross par value of primary market policies issued	$	2,890.2	$	4,123.7
Gross par value of secondary market policies issued	Gross par value of secondary market policies issued	1,743.8		312.1		Gross par value of secondary market policies issued	500.3		1,743.8
Gross par value of assumed reinsurance		—		—

Total gross par value of market policies issued	Total gross par value of market policies issued	$	5,867.5	$	5,127.6	Total gross par value of market policies issued	$	3,390.5	$	5,867.5
Gross written premiums	Gross written premiums	$	17.1	$	13.7	Gross written premiums	$	11.6	$	17.1
MSC collected	MSC collected	24.0		16.3		MSC collected	14.7		24.0
Total gross written premiums and MSC collected	Total gross written premiums and MSC collected	$	41.1	$	30.0	Total gross written premiums and MSC collected	$	26.3	$	41.1
Present value of future installment MSC collections		—		—
Gross written premium adjustments on existing installment policies		—		.1
Gross written premiums and MSC from new business (1)		$	41.1	$	30.1

Total pricing	Total pricing	70 bps		59 bps		Total pricing	77 bps		70 bps

~~(1)~~ ~~See “NON-GAAP FINANCIAL MEASURES” on page 75.~~

HG Global reported pre-tax income (loss) of $7 million in the second quarter of 2023 compared to $(8) million in the second quarter of 2022. HG Global’s results included net realized and unrealized investment gains (losses) on its fixed income portfolio of $(6) million in the second quarter of 2023 compared to $(15) million in the second quarter of 2022 ~~compared~~as interest rates increased to ~~$11 million~~a lesser extent in the second quarter of ~~2021. The change in pre-tax income (loss) was driven primarily by net unrealized investment losses on the HG Global fixed income portfolio, as interest rates increased in~~2023 versus the second quarter of 2022. ~~Results~~HG Global’s results in the second quarter of ~~2022 and 2021 both~~2023 included ~~$3.0~~$7 million of interest income on the BAM Surplus ~~Notes.~~Notes compared to $3 million in the second quarter of 2022 as the interest rate increased to 8% in 2023 from 3% in 2022.

On April 29, 2022, HG Global received the proceeds of ~~its new~~a $150 million, 10-year term loan credit facility. In turn, on May 2, 2022, HG Global paid a $120 million cash dividend to shareholders, of which $116 million was paid to White Mountains.

BAM is a mutual insurance company that is owned by its members. BAM’s results are consolidated into White ~~Mountains’s~~Mountain’s GAAP financial statements and attributed to ~~non-controlling~~noncontrolling interests. White ~~Mountains~~Mountains reported ~~$31~~$20 million of GAAP pre-tax loss from BAM in the second quarter of 2023 compared to $31 million in the second quarter of 2022. BAM’s results included net realized and unrealized investment losses on its fixed income portfolio of $4 million in the second quarter of 2023 compared to $15 million in the second quarter of 2022 ~~compared~~as interest rates increased to ~~$9 million~~a lesser extent in the second quarter of ~~2021. The change in pre-tax loss was driven primarily by net unrealized investment losses on the BAM fixed income portfolio, as interest rates increased in~~2023 versus the second quarter of 2022. ~~Results~~BAM’s results in the second quarter of ~~2022 include $3~~2023 also included $7 million of interest expense on the BAM Surplus Notes ~~and $16 million of general and administrative expenses,~~ compared to $3 million ~~of interest expense and $13 million of general and administrative expenses~~ in the second quarter of ~~2021.~~2022

~~All BAM-insured bond payments due through August 1, 2022 have been made by insureds, and there are no credits on BAM’s watchlist.~~.

HG Global/BAM Results—Six Months Ended June 30, ~~2022~~2023 versus Six Months Ended June 30, ~~2021~~2022

Gross written premiums and MSC collected in the HG Global/BAM segment totaled $47 million in the first six months of 2023 compared to $63 million in the first six months of ~~2022, compared to $56 million~~2022. BAM insured $6.3 billion of municipal bonds, $5.1 billion of which were in the primary market, in the first six months of ~~2021. BAM insured~~2023 compared to $9.3 billion of municipal bonds, $6.9 billion of which were in the primary market, in the first six months of ~~2022, compared to $8.7 billion of municipal bonds, $7.4 billion of which were~~2022.

Insured penetration in the primary market increased to 9.1% in the first six months of ~~2021. In~~2023, driven primarily by demand from large deals in the period, compared to 8.6% in the first ~~quarter~~six months of ~~2021, BAM completed an assumed reinsurance transaction to reinsure municipal bonds with a par value of $806 million.~~2022.

Total pricing, which reflects both gross written premiums and MSC, ~~from new business,~~ increased to 75 basis points in the first six months of 2023, compared to 67 basis points in the first six months of ~~2022, compared to 65 basis points in the first six months of 2021. See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75.~~2022. The increase in total pricing was driven ~~primarily~~ by ~~increased~~higher pricing in both the primary and secondary ~~market activity in the first six months of 2022 compared to the first six months of 2021.~~markets. Pricing in the primary market ~~decreased to 47 basis points in the first six months of 2022, compared~~increased to 54 basis points in the first six months of ~~2021.~~2023 compared to 47 basis points in first six months of 2022. Pricing in the secondary ~~and assumed reinsurance markets,~~market, which is more transaction specific than pricing in the primary market, ~~decreased~~increased to 163 basis points in the first six months of 2023 compared to 124 basis points in the first six months of ~~2022, compared to 131 basis points in the first six months of 2021.~~

2022.

The following table presents the gross par value of primary and secondary market policies issued, the gross ~~par value of assumed reinsurance, the gross~~ written premiums and MSC collected and total pricing for the six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:



	Six Months Ended June 30,
$ in Millions	2023		2022




Gross par value of primary market policies issued	$	5,075.6	$	6,878.8
Gross par value of secondary market policies issued	1,204.5		2,442.9

Total gross par value of market policies issued	$	6,280.1	$	9,321.7
Gross written premiums	$	20.8	$	26.5
MSC collected	26.5		36.3
Total gross written premiums and MSC collected	$	47.3	$	62.8



Total pricing	75 bps		67 bps

Six Months Ended June 30,
$ in Millions 2022 2021
Gross par value of primary market policies issued $ 6,878.8 $ 7,357.5
Gross par value of secondary market policies issued 2,442.9 489.2
Gross par value of assumed reinsurance — 805.5
Total gross par value of market policies issued $ 9,321.7 $ 8,652.2
Gross written premiums 26.5 26.2
MSC collected 36.3 30.1
Total gross written premiums and MSC collected $ 62.8 $ 56.3
Present value of future installment MSC collections — —
Gross written premium adjustments on existing installment policies — .1
Gross written premiums and MSC from new business $ 62.8 $ 56.4
Total pricing 67 bps 65 bps

HG Global reported pre-tax income (loss) of $24 million in the first six months of 2023 compared to $(23) million in the first six months of ~~2022~~2022. HG Global’s results included net realized and unrealized investment gains (losses) on its fixed income portfolio of $2 million as interest rates increased and spreads tightened modestly in the first six months of 2023 compared to $9$(38) million in the first six months of ~~2021. The change in pre-tax income (loss) was driven primarily by net unrealized investment losses on the HG Global fixed income portfolio,~~2022 as interest rates increased significantly. HG Global’s results in the first six months of ~~2022. Results in the first six months of 2022 and 2021 both include $6~~2023 also included $13 million of interest income on the BAM Surplus ~~Notes.~~Notes compared to $6 million in the first six months of 2022 as the interest rate increased to 8% in 2023 from 3% in 2022.

BAM is a mutual insurance company that is owned by its members. BAM’s results are consolidated into White ~~Mountains~~Mountains’s GAAP financial statements and attributed to noncontrolling interests. White Mountains reported ~~$66~~$29 million of GAAP pre-tax loss from BAM in the first six months of ~~2022~~2023, compared to ~~$32~~$66 million in the first six months of ~~2021. The increase in pre-tax loss was driven primarily by~~2022. BAM’s results included net realized and unrealized investment ~~losses~~gains (losses) on ~~the BAM~~its fixed income portfolio ~~as interest rates increased~~of $5 million in the first six months of ~~2022. Results~~2023 as interest rates increased and spreads tightened modestly compared to $(37) million in the first six months of 2022 ~~include $6~~as interest rates increased significantly. BAM’s results in the first six months of 2023 also included $13 million of interest expense on the BAM Surplus Notes ~~and $32 million of general and administrative expenses,~~ compared to $6 million ~~of interest expense and $29 million of general and administrative expenses~~ in the first six months of ~~2021.~~2022.

Claims Paying Resources

BAM’s claims paying resources represent the capital and other financial resources BAM has available to pay claims and, as such, is a key indication of BAM’s financial strength.

BAM’s claims paying resources were $1,451 million as of June 30, 2023 compared to $1,423 million as of December 31, 2022 and $1,228 million as of June 30, ~~2022 compared to $1,192 million as of December 31, 2021 and $1,165 million as of June 30, 2021.~~2022. The increase in claims paying resources as of June 30, ~~2022~~2023 compared to December 31, ~~2021~~2022 was driven primarily by ~~increases~~an increase in the ~~statutory value of the collateral trusts~~HG Re Collateral Trusts resulting from deposits of ceded premiums ~~and an increase in BAM’s qualified statutory capital resulting from business operations~~ for the first six months ~~ended June 30, 2022.~~of 2023. In the fourth quarter of 2022, BAM completed a reinsurance agreement with Fidus Re that increased BAM’s claims paying resources by $150 million.

The following table presents BAM’s total claims paying resources as of June 30, ~~2022,~~2023, December 31, ~~2021~~2022 and June 30, ~~2021:~~2022:


Millions	Millions	June 30, 2022		December 31, 2021		June 30, 2021		Millions	June 30, 2023		December 31, 2022		June 30, 2022
Policyholders’ surplus	Policyholders’ surplus	$	303.4	$	298.1	$	323.1	Policyholders’ surplus	$	281.5	$	283.4	$	303.4
Contingency reserve	Contingency reserve	109.8		101.8		97.4		Contingency reserve	126.9		118.2		109.8
Qualified statutory capital	Qualified statutory capital	413.2		399.9		420.5		Qualified statutory capital	408.4		401.6		413.2
Net unearned premiums		51.1		49.5		47.4
Statutory net unearned premiums								Statutory net unearned premiums	56.9		55.3		51.1
Present value of future installment premiums and MSC	Present value of future installment premiums and MSC	13.9		13.8		13.8		Present value of future installment premiums and MSC	12.5		13.3		13.9
HG Re Collateral trusts at statutory value		499.4		478.9		433.0
Fidus Re Collateral trust at statutory value		250.0		250.0		250.0
HG Re Collateral Trusts at statutory value								HG Re Collateral Trusts at statutory value	573.4		553.1		499.4
Fidus Re collateral trusts at statutory value								Fidus Re collateral trusts at statutory value	400.0		400.0		250.0
Claims paying resources	Claims paying resources	$	1,227.6	$	1,192.1	$	1,164.7	Claims paying resources	$	1,451.2	$	1,423.3	$	1,227.6

5654

HG Global/BAM Balance Sheets

The following tables present amounts from HG Global, which includes HG Re and its other wholly-owned subsidiaries, and BAM that are contained within White Mountains’s consolidated balance sheet as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


		June 30, 2022									June 30, 2023
Millions	Millions	HG Global		BAM		Eliminations and Segment Adjustment		Total		Millions	HG Global		BAM		Eliminations and Segment Adjustments		Total
Assets	Assets									Assets
Fixed maturity investments, at fair value	Fixed maturity investments, at fair value	$	443.7	$	440.7	$	—	$	884.4	Fixed maturity investments, at fair value	$	512.5	$	420.4	$	—	$	932.9
Short-term investments, at fair value	Short-term investments, at fair value	40.0		15.3		—		55.3		Short-term investments, at fair value	41.2		26.3		—		67.5
Total investments	Total investments	483.7		456.0		—		939.7		Total investments	553.7		446.7		—		1,000.4
Cash	Cash	12.8		8.8		—		21.6		Cash	1.4		1.5		—		2.9
BAM Surplus Notes	BAM Surplus Notes	364.6		—		(364.6)		—		BAM Surplus Notes	340.0		—		(340.0)		—
Accrued interest receivable on BAM Surplus Notes	Accrued interest receivable on BAM Surplus Notes	163.5		—		(163.5)		—		Accrued interest receivable on BAM Surplus Notes	171.0		—		(171.0)		—
Insurance premiums receivable	Insurance premiums receivable	4.3		6.9		(4.3)		6.9		Insurance premiums receivable	4.0		6.4		(4.0)		6.4
Deferred acquisition costs	Deferred acquisition costs	64.6		33.9		(64.6)		33.9		Deferred acquisition costs	72.9		37.4		(72.9)		37.4

Other assets	Other assets	4.1		16.8		(1.2)		19.7		Other assets	11.0		14.6		(.3)		25.3
Total assets	Total assets	$	1,097.6	$	522.4	$	(598.2)	$	1,021.8	Total assets	$	1,154.0	$	506.6	$	(588.2)	$	1,072.4
Liabilities	Liabilities									Liabilities
BAM Surplus Notes(1)	BAM Surplus Notes(1)	$	—	$	364.6	$	(364.6)	$	—	BAM Surplus Notes (1)	$	—	$	340.0	$	(340.0)	$	—
Accrued interest payable on BAM Surplus Notes(2)	Accrued interest payable on BAM Surplus Notes(2)	—		163.5		(163.5)		—		Accrued interest payable on BAM Surplus Notes (2)	—		171.0		(171.0)		—
Preferred dividends payable to White Mountains(3)	Preferred dividends payable to White Mountains(3)	313.3		—		—		313.3		Preferred dividends payable to White Mountains (3)	369.9		—		—		369.9
Preferred dividends payable to non-controlling interests		11.5		—		—		11.5
Preferred dividends payable to noncontrolling interests										Preferred dividends payable to noncontrolling interests	13.6		—		—		13.6
Unearned insurance premiums	Unearned insurance premiums	228.7		45.3		—		274.0		Unearned insurance premiums	254.7		49.0		—		303.7
Debt - HG Global Senior Notes		146.3		—		—		146.3
Debt										Debt	146.7		—		—		146.7
Intercompany debt (4)										Intercompany debt (4)	1.5		—		—		1.5
Accrued incentive compensation	Accrued incentive compensation	.8		15.7		—		16.5		Accrued incentive compensation	.9		13.8		—		14.7

Other liabilities	Other liabilities	4.1		87.2		(70.1)		21.2		Other liabilities	8.2		90.0		(77.2)		21.0
Total liabilities	Total liabilities	704.7		676.3		(598.2)		782.8		Total liabilities	795.5		663.8		(588.2)		871.1
Equity	Equity									Equity
White Mountains’s common shareholders’ equity		390.2		—		—		390.2
Non-controlling interests		2.7		(153.9)		—		(151.2)
White Mountains’s common shareholders’ equity (3) (4)										White Mountains’s common shareholders’ equity (3) (4)	359.8		—		—		359.8
Noncontrolling interests										Noncontrolling interests	(1.3)		(157.2)		—		(158.5)
Total equity	Total equity	392.9		(153.9)		—		239.0		Total equity	358.5		(157.2)		—		201.3
Total liabilities and equity	Total liabilities and equity	$	1,097.6	$	522.4	$	(598.2)	$	1,021.8	Total liabilities and equity	$	1,154.0	$	506.6	$	(588.2)	$	1,072.4

(1) Under GAAP, the BAM Surplus Notes are classified as ~~debt by the issuer.~~debt. Under U.S. Statutory accounting, they are classified as policyholders’ surplus.

(2) Under GAAP, interest accrues daily on the BAM Surplus Notes. Under U.S. Statutory accounting, interest is not accrued on the BAM Surplus Notes until it has been approved for payment by insurance regulators.

(3) HG ~~Global~~Global’s preferred dividends payable to White Mountains are eliminated in White Mountains’s consolidated financial statements. For segment reporting, ~~the~~ HG ~~Global~~Global’s preferred dividends payable to White Mountains included within the HG Global/BAM segment are eliminated against the offsetting receivable included within ~~the~~ Other ~~Operations segment, and therefore are added back to~~Operations.

(4) HG Global’s intercompany debt is eliminated in White Mountains’s ~~common shareholders’ equity~~consolidated financial statements. For segment reporting, HG Global’s intercompany debt included within the HG Global/BAM ~~segment.~~segment is eliminated against the offsetting receivable included within Other Operations.

5755


		December 31, 2021									December 31, 2022
Millions	Millions	HG Global		BAM		Eliminations and Segment Adjustment		Total Segment		Millions	HG Global		BAM		Eliminations and Segment Adjustments		Total Segment
Assets	Assets									Assets
Fixed maturity investments, at fair value	Fixed maturity investments, at fair value	$	461.7	$	472.4	$	—	$	934.1	Fixed maturity investments, at fair value	$	489.6	$	420.3	$	—	$	909.9
Short-term investments, at fair value	Short-term investments, at fair value	17.8		14.6		—		32.4		Short-term investments, at fair value	42.0		23.9		—		65.9
Total investments	Total investments	479.5		487.0		—		966.5		Total investments	531.6		444.2		—		975.8
Cash	Cash	13.4		6.4		—		19.8		Cash	13.2		5.0		—		18.2
BAM Surplus Notes	BAM Surplus Notes	364.6		—		(364.6)		—		BAM Surplus Notes	340.0		—		(340.0)		—
Accrued interest receivable on BAM Surplus Notes	Accrued interest receivable on BAM Surplus Notes	157.6		—		(157.6)		—		Accrued interest receivable on BAM Surplus Notes	157.9		—		(157.9)		—
Insurance premiums receivable	Insurance premiums receivable	4.3		6.9		(4.3)		6.9		Insurance premiums receivable	4.3		6.6		(4.3)		6.6
Deferred acquisition costs	Deferred acquisition costs	62.7		33.1		(62.7)		33.1		Deferred acquisition costs	71.2		36.0		(71.2)		36.0

Other assets	Other assets	2.1		16.6		(.2)		18.5		Other assets	7.0		15.1		(.2)		21.9
Total assets	Total assets	$	1,084.2	$	550.0	$	(589.4)	$	1,044.8	Total assets	$	1,125.2	$	506.9	$	(573.6)	$	1,058.5
Liabilities	Liabilities									Liabilities
BAM Surplus Notes(1)	BAM Surplus Notes(1)	$	—	$	364.6	$	(364.6)	$	—	BAM Surplus Notes (1)	$	—	$	340.0	$	(340.0)	$	—
Accrued interest payable on BAM Surplus Notes(2)	Accrued interest payable on BAM Surplus Notes(2)	—		157.6		(157.6)		—		Accrued interest payable on BAM Surplus Notes (2)	—		157.9		(157.9)		—
Preferred dividends payable to White Mountains(3)	Preferred dividends payable to White Mountains(3)	400.5		—		—		400.5		Preferred dividends payable to White Mountains (3)	341.4		—		—		341.4
Preferred dividends payable to non-controlling interests		14.2		—		—		14.2
Preferred dividends payable to noncontrolling interests										Preferred dividends payable to noncontrolling interests	12.5		—		—		12.5
Unearned insurance premiums	Unearned insurance premiums	221.5		44.8		—		266.3		Unearned insurance premiums	249.8		48.5		—		298.3
Debt										Debt	146.5		—		—		146.5
Intercompany debt (4)										Intercompany debt (4)	6.0		—		—		6.0
Accrued incentive compensation	Accrued incentive compensation	1.1		23.6		—		24.7		Accrued incentive compensation	1.3		26.7		—		28.0

Other liabilities	Other liabilities	.5		83.4		(67.2)		16.7		Other liabilities	3.7		88.5		(75.7)		16.5
Total liabilities	Total liabilities	637.8		674.0		(589.4)		722.4		Total liabilities	761.2		661.6		(573.6)		849.2
Equity	Equity									Equity
White Mountains’s common shareholders’ equity		437.5		—		—		437.5
Non-controlling interests		8.9		(124.0)		—		(115.1)
White Mountains’s common shareholders’ equity (3) (4)										White Mountains’s common shareholders’ equity (3) (4)	364.6		—		—		364.6
Noncontrolling interests										Noncontrolling interests	(.6)		(154.7)		—		(155.3)
Total equity	Total equity	446.4		(124.0)		—		322.4		Total equity	364.0		(154.7)		—		209.3
Total liabilities and equity	Total liabilities and equity	$	1,084.2	$	550.0	$	(589.4)	$	1,044.8	Total liabilities and equity	$	1,125.2	$	506.9	$	(573.6)	$	1,058.5

(1) Under GAAP, the BAM Surplus Notes are classified as ~~debt by the issuer.~~debt. Under U.S. Statutory accounting, they are classified as policyholders’ surplus.

5856

~~Ark~~Ark/WM Outrigger

Ark is a specialty property and casualty insurance and reinsurance company that offers a wide range of niche insurance and reinsurance products, including property, marine & energy, specialty, accident & health and casualty. Ark underwrites select coverages through its two major subsidiaries in the United Kingdom and Bermuda.

The following table presents the components of pre-tax income (loss) included in ~~White Mountains’s Ark~~the Ark/WM Outrigger segment for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


	Three Months Ended June 30,
		2023								2022
Millions		Ark		WM Outrigger Re		Eliminations		Total		Ark
Direct written premiums		$	291.5	$	—	$	—	$	291.5	$	214.3
Assumed written premiums		314.6		58.3		(58.3)		314.6		189.6
Gross written premiums		606.1		58.3		(58.3)		606.1		403.9
Ceded written premiums		(203.2)		—		58.3		(144.9)		(133.7)
Net written premiums		$	402.9	$	58.3	$	—	$	461.2	$	270.2

Earned insurance premiums		$	283.7	$	9.6	$	—	$	293.3	$	217.3
Net investment income		11.2		2.5		—		13.7		3.2
Net realized and unrealized investment gains (losses)		18.0		—		—		18.0		(44.6)
Other revenues		(2.0)		—		—		(2.0)		6.3
Total revenues		310.9		12.1		—		323.0		182.2
Losses and LAE		167.1		.4		—		167.5		120.5
Acquisition expenses		59.4		2.0		—		61.4		50.2
General and administrative expenses - other underwriting		25.5		—		—		25.5		18.6
General and administrative expenses - all other		9.4		—		—		9.4		11.1
Change in fair value of contingent consideration		2.2		—		—		2.2		.1
Interest expense		5.2		—		—		5.2		3.1
Total expenses		268.8		2.4		—		271.2		203.6
Pre-tax income (loss)		$	42.1	$	9.7	$	—	$	51.8	$	(21.4)


											Six Months Ended June 30,
		Three Months Ended June 30,				Six Months Ended June 30,						2023								2022
Millions	Millions	2022		2021		2022		2021		Millions		Ark		WM Outrigger Re		Eliminations		Total		Ark
Direct written premiums										Direct written premiums		$	537.7	$	—	$	—	$	537.7	$	445.2
Assumed written premiums										Assumed written premiums		877.8		102.4		(102.4)		877.8		591.8
Gross written premiums										Gross written premiums		1,415.5		102.4		(102.4)		1,415.5		1,037.0
Ceded written premiums										Ceded written premiums		(442.5)		—		102.4		(340.1)		(223.0)
Net written premiums										Net written premiums		$	973.0	$	102.4	$	—	$	1,075.4	$	814.0

Earned insurance premiums	Earned insurance premiums	$	217.3	$	117.8	$	411.7	$	222.4	Earned insurance premiums		$	533.6	$	14.8	$	—	$	548.4	$	411.7
Net investment income	Net investment income	3.2		.4		4.8		1.2		Net investment income		19.6		4.7		—		24.3		4.8
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(44.6)		8.9		(62.1)		10.0		Net realized and unrealized investment gains (losses)		42.5		—		—		42.5		(62.1)
Other revenues	Other revenues	6.3		3.4		3.5		6.0		Other revenues		(4.7)		—		—		(4.7)		3.5
Total revenues	Total revenues	182.2		130.5		357.9		239.6		Total revenues		591.0		19.5		—		610.5		357.9
Losses and LAE	Losses and LAE	120.5		52.6		242.5		118.6		Losses and LAE		314.7		.6		—		315.3		242.5
Insurance and reinsurance acquisition expenses		50.2		34.0		100.1		70.7
Acquisition expenses										Acquisition expenses		118.3		2.9		—		121.2		100.1
General and administrative expenses - other underwriting	General and administrative expenses - other underwriting	18.6		19.1		40.7		30.3		General and administrative expenses - other underwriting		53.0		—		—		53.0		40.7
General and administrative expenses - all other	General and administrative expenses - all other	11.2		5.7		12.2		32.3		General and administrative expenses - all other		17.0		.1		—		17.1		10.0
Change in fair value of contingent consideration										Change in fair value of contingent consideration		(.2)		—		—		(.2)		2.2
Interest expense	Interest expense	3.1		1.3		6.9		2.4		Interest expense		10.2		—		—		10.2		6.9
Total expenses	Total expenses	203.6		112.7		402.4		254.3		Total expenses		513.0		3.6		—		516.6		402.4
Pre-tax income (loss)	Pre-tax income (loss)	$	(21.4)	$	17.8	$	(44.5)	$	(14.7)	Pre-tax income (loss)		$	78.0	$	15.9	$	—	$	93.9	$	(44.5)

For the years of account prior to the Ark Transaction, a significant proportion of the Syndicates’ underwriting capital was provided by TPC Providers using whole account reinsurance contracts with Ark’s corporate member. The TPC Providers’ participation in the Syndicates for the 2020 open year of account is 43% of the total net result of the Syndicates. For the years of account subsequent to the Ark Transaction, Ark is no longer using TPC Providers to provide underwriting capital for the Syndicates. During the first quarter of 2023, an RITC agreement was executed such that the outstanding loss and LAE reserves for claims arising out of the 2020 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 43%, were reinsured into the 2021 year of account, for which the TPC Providers’ participation in the total net results of the Syndicates was 0%. Captions within Ark’s results of operations for the three and six months ended June 30, 2022 are shown net of amounts relating to ~~the~~ TPC Providers’ share of the Syndicates’ results, including investment results.

~~Ark~~Ark/WM Outrigger Results—Three Months Ended June 30, ~~2022~~2023 versus Three Months Ended June 30, ~~2021~~2022

The Ark/WM Outrigger segment’s combined ratio was 87% in the second quarter of 2023. The Ark/WM Outrigger segment reported gross written premiums of $606 million, net written premiums of $461 million and net earned premiums of $293 million in the second quarter of 2023. The Ark/WM Outrigger segment reported pre-tax income of $52 million in the second quarter of 2023.

Ark’s combined ratio was 89% in the second quarter of 2023 compared to 87% in the second quarter of 2022. Ark’s combined ratio in the second quarter of 2023 included four points of unfavorable prior year loss reserve development, primarily due to three large claims in the property and marine & energy lines of business. This compared to ten points of favorable prior year loss reserve development in the second quarter of 2022, driven primarily by the property and specialty lines of business, including favorable claims experience on prior year catastrophe events. Ark’s combined ratio in the second quarter of 2023 included five points of catastrophe losses compared to 11 points of catastrophe losses, driven primarily by losses from the conflict in Ukraine, in the second quarter of 2022.

Ark reported gross written premiums of $606 million, net written premiums of $403 million and net earned premiums of $284 million in the second quarter of 2023 compared to gross written premiums of $404 million, net written premiums of $270 million and net earned premiums of $217 million in the second quarter of ~~2022 compared to gross written premiums~~2022. Ark reported pre-tax income (loss) of ~~$328 million, net written premiums of $262 million and net earned premiums of $118~~$42 million in the second quarter of 2021. Premium growth at Ark has been supported by favorable market conditions across most classes with general inflationary concerns, capacity withdrawal in catastrophe lines, and the ongoing conflict in Ukraine driving positive rate momentum.

~~Ark reported pre-tax income (loss) of~~2023 compared to $(21) million in ~~the~~ second quarter of ~~2022 compared to~~2022. Ark’s results included net realized and unrealized investment gains (losses) of $18 million in the second quarter of 2021. Ark’s pre-tax loss for the second quarter of 2022 included $45 million of net realized and unrealized investment losses, driven primarily by unrealized losses on fixed income securities and the impact of foreign currency on its investment portfolio,2023 compared to $9$(45) million ~~of net realized and unrealized investment gains~~ in the second quarter of ~~2021.~~2022.

~~Ark’s GAAP~~WM Outrigger Re’s combined ratio was ~~87%~~25% in the second quarter of ~~2022 compared to 90%~~2023. WM Outrigger Re reported gross and net written premiums of $58 million and net earned premiums of $10 million in the second quarter of ~~2021. The GAAP combined ratio for the second quarter of 2022 included four points of natural~~2023. WM Outrigger Re’s catastrophe ~~losses driven primarily by South African and Australian flood losses and seven points related~~premiums are earned in proportion to the ongoing conflict in Ukraine within the specialty, aviation, and marine & energy lines of business. This compared to six points of natural catastrophe losses in the second quarter of 2021. The GAAP combined ratio for the second quarter of 2022 included 10 points of favorable prior year development, driven primarily by the property and accident & health and specialty reserving lines of business, including favorable claims experience on prior year catastrophe events. This compared to eight points of favorable prior year development in the second quarter of 2021, primarily related to the property, energy and accident & health lines of business.

insurance protection provided.

Ark’s adjusted combined ratio, which adds back amounts attributable to TPC Providers, was 86% in the second quarter of 2022 compared to 84% in the second quarter of 2021. The adjusted combined ratio for the second quarter of 2022 included four points of natural catastrophe losses compared to six points of natural catastrophe losses in the second quarter of 2021. The adjusted combined ratio for the second quarter of 2022 also included seven points related to the ongoing conflict in Ukraine. The adjusted combined ratio for the second quarter of 2022 included 12 points of favorable prior year development compared to 10 points of favorable prior year development in the second quarter of 2021. The underlying drivers of year-over-year changes were the same as those impacting the GAAP combined ratio.

The following table presents ~~Ark’s loss~~the Ark/WM Outrigger segment’s insurance premiums, insurance expenses and ~~LAE,~~ insurance ~~acquisition expense, other underwriting expense and combined~~ ratios ~~on both a GAAP-basis and an adjusted basis, which adds back amounts attributable to TPC Providers,~~ for the three months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


											Three Months Ended June 30,
		Three Months Ended June 30, 2022									2023												2022
$ in Millions	$ in Millions	GAAP			TPC Providers’ Share		Adjusted (1)			$ in Millions	Ark			WM Outrigger Re			Eliminations			Total			Ark
Insurance premiums:	Insurance premiums:									Insurance premiums:
Gross written premiums	Gross written premiums	$	403.9		$	—	$	403.9		Gross written premiums	$	606.1		$	58.3		$	(58.3)		$	606.1		$	403.9
Net written premiums	Net written premiums	$	270.2		$	(.6)	$	269.6		Net written premiums	$	402.9		$	58.3		$	—		$	461.2		$	270.2
Net earned premiums	Net earned premiums	$	217.3		$	1.1	$	218.4		Net earned premiums	$	283.7		$	9.6		$	—		$	293.3		$	217.3

Insurance expenses:	Insurance expenses:									Insurance expenses:
Loss and loss adjustment expenses	Loss and loss adjustment expenses	$	120.5		$	(2.3)	$	118.2		Loss and loss adjustment expenses	$	167.1		$	.4		$	—		$	167.5		$	120.5
Insurance and reinsurance acquisition expenses		50.2			—		50.2
Other underwriting expenses		18.6			.8		19.4
Acquisition expenses										Acquisition expenses	59.4			2.0			—			61.4			50.2
Other underwriting expenses (1)										Other underwriting expenses (1)	25.5			—			—			25.5			18.6
Total insurance expenses	Total insurance expenses	$	189.3		$	(1.5)	$	187.8		Total insurance expenses	$	252.0		$	2.4		$	—		$	254.4		$	189.3

Ratios:
Insurance ratios:										Insurance ratios:
Loss and loss adjustment expense	Loss and loss adjustment expense	55.5		%			54.1		%	Loss and loss adjustment expense	58.9		%	4.2		%	—		%	57.1		%	55.5		%
Insurance and reinsurance acquisition expense		23.1					23.0
Acquisition expense										Acquisition expense	20.9			20.8			—			20.9			23.1
Other underwriting expense	Other underwriting expense	8.6					8.9			Other underwriting expense	9.0			—			—			8.7			8.6
Combined Ratio	Combined Ratio	87.2		%			86.0		%	Combined Ratio	88.8		%	25.0		%	—		%	86.7		%	87.2		%

(1)~~See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75.~~

Three Months Ended June 30, 2021
$ in Millions GAAP TPC Providers’ Share
Adjusted (1)
Insurance premiums:
Gross written premiums $ 328.1 $ — $ 328.1
Net written premiums $ 262.2 $ (3.0) $ 259.2
Net earned premiums $ 117.8 $ 15.7 $ 133.5
Insurance expenses:
Loss and loss adjustment expenses $ 52.6 $ 6.6 $ 59.2
Insurance and reinsurance acquisition expenses 34.1 — 34.1
Other underwriting expenses 19.1 (.1) 19.0
Total insurance expenses $ 105.8 $ 6.5 $ 112.3
Ratios:
Loss and loss adjustment expense 44.7 % 44.3 %
Insurance and reinsurance acquisition expense 28.9 25.5
Other underwriting expense 16.2 14.2
Combined Ratio 89.8 % 84.0 %

~~(1)~~ ~~See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75.~~

Included within general and administrative expenses

6058

Gross Written Premiums

Gross written premiums increased ~~23%~~50% to ~~$404~~$606 million in the second quarter of ~~2022~~2023 compared to the second quarter of ~~2021,~~2022, with risk adjusted rate change up approximately 9%21% year over year. The increase in gross written premiums was driven primarily by the property line of business for both insurance and reinsurance across London and Bermuda, ~~resulting from favorable market conditions.~~reflecting the additional capacity provided by Outrigger Re Ltd., as well as the marine & energy line of business. The risk adjusted rate change on the Outrigger Re Ltd. portfolio of global property reinsurance was 35% in the second quarter of 2023. The following table presents ~~Ark’s~~the Ark/WM Outrigger segment’s gross written premiums by line of business for the three months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,					Three Months Ended June 30,
Millions	Millions	2022		2021		Millions	2023		2022
Property	Property	$	245.6	$	176.7	Property	$	405.8	$	245.6
Marine & Energy						Marine & Energy	88.5		57.2
Specialty	Specialty	66.5		68.8		Specialty	74.2		66.5
Marine & Energy		57.2		50.2
Casualty	Casualty	25.9		17.5		Casualty	26.7		25.9
Accident & Health	Accident & Health	8.7		14.9		Accident & Health	10.9		8.7
Total Gross Written Premium	Total Gross Written Premium	$	403.9	$	328.1	Total Gross Written Premium	$	606.1	$	403.9

Ark Results— Six Months Ended June 30, ~~2022~~2023 versus Six Months Ended June 30, ~~2021~~2022

The Ark/WM Outrigger segment’s combined ratio was 89% in the first six months of 2023.The Ark/WM Outrigger segment reported gross written premiums of $1,416, net written premiums of $1,075 and net earned premiums of $548 in the first six months of 2023. The Ark/WM Outrigger segment reported pre-tax income of $94 million in the first six months of 2023.

Ark’s combined ratio was 91% in the first six months of 2023, compared to 93% in the first six months of 2022. Ark’s combined ratio in the first six months of 2023 included four points of unfavorable prior year loss reserve development, primarily due to Winter Storm Elliott and three large claims in the property and marine & energy lines of business. This compared to six points of favorable prior year loss reserve development in the first six months of 2022, driven primarily by the property and specialty lines of business, including favorable claims experience on prior year catastrophe events in the second quarter. Ark’s combined ratio in the first six months of 2023 included three points of catastrophe losses compared to 14 points of catastrophe losses, driven primarily by losses from the conflict in Ukraine, in the first six months of 2022.

Ark reported gross written premiums of $1,416 million, net written premiums of $973 million and net earned premiums of $534 million in the first six months of 2023, compared to gross written premiums of $1,037 million, net written premiums of $814 million and net earned premiums of $412 million in the first six months of ~~2022 compared to gross written premiums~~2022. Ark reported pre-tax income (loss) of ~~$733 million, net written premiums of $605 million and net earned premiums of $222~~$78 million in the first six months of 2021. Premium growth at Ark has been supported by favorable market conditions across most classes with inflationary concerns, capacity withdrawal in catastrophe lines, and the ongoing conflict in Ukraine driving positive rate momentum.

~~Ark reported pre-tax loss of $45~~2023 compared to $(45) million in the first six months of ~~2022~~2022. Ark’s results included net realized and unrealized investment gains (losses) of $43 million in the first six months of 2023, compared to $(62) million in the first six months of 2022.

WM Outrigger Re’s combined ratio was 24% in the first six months of 2023. WM Outrigger Re reported gross and net written premiums of $102 million and net earned premiums of $15 million in the first six months of 2021. Ark’s pre-tax loss for the first six months of 2022 included $62 million of net realized and unrealized investment losses, driven primarily by unrealized losses on fixed income securities and the impact of foreign currency on its investment portfolio, compared to $10 million of net realized and unrealized investment gains in the second quarter of 2021. Ark’s pre-tax loss for the first six months of 2021 also reflected $25 million of transaction expenses related to the Ark Transaction.

Ark’s GAAP combined ratio was 93% in the first six months of 2022 compared to 99% in the first six months of 2021. The GAAP combined ratio for the first six months of 2022 included five points of natural catastrophe losses driven primarily by the South African and Australian floods in the second quarter and several smaller storms in the first quarter. This compared to 10 points of natural catastrophe losses in the first six months of 2021, driven primarily by Winter Storm Uri. The GAAP combined ratio for the first six months of 2022 also included nine points related to the ongoing conflict in Ukraine within the specialty, aviation, and marine & energy lines of business. The GAAP combined ratio for the first six months of 2022 included six points of favorable prior year development, driven primarily by the property and accident & health and specialty reserving lines of business, including favorable claims experience on prior year catastrophe events in the second quarter. This compared to four points of prior year favorable development in the first six months to 2021, primarily related to the property, energy and accident & health lines of business.

Ark’s adjusted combined ratio, which adds back amounts attributable to TPC Providers, was 93% in the first six months of 2022 compared to 96% in the first six months of 2021. The adjusted combined ratio for the first six months of 2022 included five points of natural catastrophe losses compared to 12 points of natural catastrophe losses in the first six months of 2021. The adjusted combined ratio for the first six months of 2022 also included nine points related to the ongoing conflict in Ukraine. The adjusted combined ratio for the first six months of 2022 included seven points of favorable prior year development compared to five points of favorable prior year development in the first six months of 2021. The underlying drivers of year-over-year changes were the same as those impacting the GAAP combined ratio.

2023.

6159

The following table presents ~~Ark’s loss~~the Ark/WM Outrigger segment’s insurance premiums, insurance expenses and ~~loss adjustment expense,~~ insurance ~~acquisition expense, other underwriting expense and combined~~ ratios ~~on both a GAAP-basis and an adjusted basis, which adds back amounts ceded to TPC Providers,~~ for the six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


											Six Months Ended June 30,
		Six Months Ended June 30, 2022									2023												2022
$ in Millions	$ in Millions	GAAP			TPC Providers’ Share		Adjusted (1)			$ in Millions	Ark			WM Outrigger Re			Eliminations			Total			Ark
Insurance premiums:	Insurance premiums:									Insurance premiums:
Gross written premiums	Gross written premiums	$	1,037.0		$	—	$	1,037.0		Gross written premiums	$	1,415.5		$	102.4		$	(102.4)		$	1,415.5		$	1,037.0
Net written premiums	Net written premiums	$	814.0		$	1.2	$	815.2		Net written premiums	$	973.0		$	102.4		$	—		$	1,075.4		$	814.0
Net earned premiums	Net earned premiums	$	411.7		$	5.9	$	417.6		Net earned premiums	$	533.6		$	14.8		$	—		$	548.4		$	411.7

Insurance expenses:	Insurance expenses:									Insurance expenses:
Loss and loss adjustment expenses	Loss and loss adjustment expenses	$	242.5		$	3.4	$	245.9		Loss and loss adjustment expenses	$	314.7		$	.6		$	—		$	315.3		$	242.5
Insurance and reinsurance acquisition expenses		100.1			—		100.1
Other underwriting expenses		40.7			1.8		42.5
Acquisition expenses										Acquisition expenses	118.3			2.9			—			121.2			100.1
Other underwriting expenses (1)										Other underwriting expenses (1)	53.0			—			—			53.0			40.7
Total insurance expenses	Total insurance expenses	$	383.3		$	5.2	$	388.5		Total insurance expenses	$	486.0		$	3.5		$	—		$	489.5		$	383.3

Ratios:
Insurance ratios:										Insurance ratios:
Loss and loss adjustment expense	Loss and loss adjustment expense	58.9		%			58.9		%	Loss and loss adjustment expense	59.0		%	4.1		%	—		%	57.5		%	58.9		%
Insurance and reinsurance acquisition expense		24.3					23.9
Acquisition expense										Acquisition expense	22.2			19.6			—			22.1		%	24.3
Other underwriting expense	Other underwriting expense	9.9					10.2			Other underwriting expense	9.9			—			—			9.7		%	9.9
Combined Ratio	Combined Ratio	93.1		%			93.0		%	Combined Ratio	91.1		%	23.7		%	—		%	89.3		%	93.1		%

~~(1)~~ ~~See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75.~~

Six Months Ended June 30, 2021
$ in Millions GAAP TPC Providers’ Share
Adjusted (1)
Insurance premiums:
Gross written premiums $ 732.6 $ — $ 732.6
Net written premiums $ 604.6 $ (8.0) $ 596.6
Net earned premiums $ 222.4 $ 46.9 $ 269.3
Insurance expenses:
Loss and loss adjustment expenses $ 118.6 $ 38.2 $ 156.8
Insurance and reinsurance acquisition expenses 70.8 — 70.8
Other underwriting expenses 30.3 1.2 31.5
Total insurance expenses $ 219.7 $ 39.4 $ 259.1
Ratios:
Loss and loss adjustment expense 53.3 % 58.2 %
Insurance and reinsurance acquisition expense 31.8 26.3
Other underwriting expense 13.6 11.7
Combined Ratio 98.7 % 96.2 %
Gross Written Premiums

Gross written premiums increased 36% to $1,416 million in the first six months of 2023 compared to the first six months of 2022, with risk adjusted rate change up approximately 15% year over year. The increase in gross written premiums was driven primarily by the property line of business for both insurance and reinsurance across London and Bermuda, reflecting the additional capacity provided by Outrigger Re Ltd., as well as the specialty and marine & energy lines of business. The risk adjusted rate change on the Outrigger Re Ltd. portfolio of global property reinsurance was 37% in the first six months of 2023. The following table presents the Ark/WM Outrigger segment’s gross written premiums by line of business for the six months ended June 30, 2023 and 2022:


	Six Months Ended June 30,
Millions	2023		2022
Property	$	685.6	$	419.1
Specialty	342.7		283.7
Marine & Energy	283.3		235.2
Casualty	56.9		50.8
Accident & Health	47.0		48.3
Total Gross Written Premium	$	1,415.5	$	1,037.1

Ark/WM Outrigger Balance Sheets

The following tables present amounts from Ark and WM Outrigger Re that are contained within White Mountains’s consolidated balance sheet as of June 30, 2023 and December 31, 2022:


	June 30, 2023
Millions	Ark		WM Outrigger Re		Eliminations and Segment Adjustments		Total
Assets
Fixed maturity investments, at fair value	$	755.8	$	—	$	—	$	755.8
Common equity securities, at fair value	382.6		—		—		382.6
Short-term investments, at fair value	428.9		211.4		—		640.3
Other long-term investments	410.7		—		—		410.7
Total investments	1,978.0		211.4		—		2,189.4
Cash	101.5		.2		—		101.7
Reinsurance recoverables	757.9		—		(88.2)		669.7
Insurance premiums receivable	1,077.2		80.8		(80.8)		1,077.2

Deferred acquisition costs	216.3		15.8		—		232.1

Goodwill and other intangible assets	292.5		—		—		292.5
Other assets	69.4		—		—		69.4
Total assets	$	4,492.8	$	308.2	$	(169.0)	$	4,632.0
Liabilities
Loss and loss adjustment expense reserves	$	1,421.0	$	.6	$	(.6)	$	1,421.0
Unearned insurance premiums	1,376.5		87.6		(87.6)		1,376.5
Debt	185.1		—		—		185.1
Reinsurance payable	327.8		—		(80.8)		247.0
Contingent consideration	45.1		—		—		45.1



Other liabilities	116.6		—		—		116.6
Total liabilities	3,472.1		88.2		(169.0)		3,391.3
Equity
White Mountains’s common shareholders’ equity	757.4		220.0		—		977.4
Noncontrolling interests	263.3		—		—		263.3
Total equity	1,020.7		220.0		—		1,240.7
Total liabilities and equity	$	4,492.8	$	308.2	$	(169.0)	$	4,632.0


	December 31, 2022
Millions	Ark		WM Outrigger Re (1)		Eliminations and Segment Adjustments		Total
Assets
Fixed maturity investments, at fair value	$	772.8	$	—	$	—	$	772.8
Common equity securities, at fair value	334.6		—		—		334.6
Short-term investments, at fair value	280.9		203.7		—		484.6
Other long-term investments	373.6		—		—		373.6
Total investments	1,761.9		203.7		—		1,965.6
Cash	100.0		1.5		—		101.5
Reinsurance recoverables	595.3		—		—		595.3
Insurance premiums receivable	544.1		—		—		544.1

Deferred acquisition costs	127.2		—		—		127.2

Goodwill and other intangible assets	292.5		—		—		292.5
Other assets	65.2		—		—		65.2
Total assets	$	3,486.2	$	205.2	$	—	$	3,691.4
Liabilities
Loss and loss adjustment expense reserves	$	1,296.5	$	—	$	—	$	1,296.5
Unearned insurance premiums	623.2		—		—		623.2
Debt	183.7		—		—		183.7
Reinsurance payable	251.1		—		—		251.1
Contingent consideration	45.3		—		—		45.3



Other liabilities	121.1		1.2		—		122.3
Total liabilities	2,520.9		1.2		—		2,522.1
Equity
White Mountains’s common shareholders’ equity	717.4		204.0		—		921.4
Noncontrolling interests	247.9		—		—		247.9
Total equity	965.3		204.0		—		1,169.3
Total liabilities and equity	$	3,486.2	$	205.2	$	—	$	3,691.4

(1) ~~See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75.~~Amounts as of December 31, 2022 for WM Outrigger Re have been reclassified from Other Operations to the Ark/WM Outrigger segment to conform to the presentation as of June 30, 2023.

~~Gross Written Premiums~~

Gross written premiums increased 42% to $1,037 million in the first six months of 2022, compared to the first six months of 2021, with risk adjusted rate change up approximately 9%. Ark’s premium growth has impacted almost all lines of business supported by the build out of the Bermuda platform launched in 2021 and favorable market conditions, notably within the property and specialty lines of business. The following table presents Ark’s gross written premiums by line of business for the first six months ended June 30, 2022 and 2021:

For the Six Months Ended
Millions June 30, 2022 June 30, 2021
Property $ 419.1 $ 280.3
Specialty 283.7 178.5
Marine & Energy 235.2 190.2
Casualty 50.8 30.8
Accident & Health 48.3 52.8
Total Gross Written Premium $ 1,037.1 $ 732.6

~~Catastrophe Risk Management~~

Ark has exposure to losses caused by unpredictable catastrophic events including natural and other disasters such as hurricanes, windstorms, earthquakes, floods, wildfires, tornadoes, tsunamis, and severe winter weather all over the world. Catastrophes can also include large losses driven by public health crises, terrorist attacks, explosions, infrastructure failures, cyber-attacks and armed conflicts. The extent of a catastrophe loss is a function of both the severity of the event and total amount of insured exposure to the event, as well as the coverage provided to customers.

Ark seeks to manage its exposure to catastrophic losses by limiting and monitoring the aggregate insured value of policies in geographic areas with exposure to catastrophic events and by buying reinsurance. To manage, monitor and analyze insured values and potential losses, Ark utilizes proprietary and third-party catastrophe management software to estimate potential losses for many different catastrophe scenarios.

Ark estimates that its two largest modeled probable maximum loss natural catastrophe scenarios on a per occurrence basis at a 1-in-250-year return period are U.S. windstorms and U.S. earthquakes. The July 2022 net after-tax estimated impact of a 1-in-250-year return period loss is 31% and 23% of total tangible capital (shareholders equity and subordinated debt) for U.S. windstorms and U.S. earthquakes, respectively. In each case, the net impact is after income taxes, reinstatement premiums, amounts ceded to third-party reinsurers, and amounts attributable to TPC Providers. As underlying tangible capital grows with expected earnings for the remainder of the year, Ark expects the net after-tax peak exposures to be roughly 25-30% of total tangible capital.

In addition, Ark also has loss exposures to other global events including, but not limited to, Japanese earthquakes, Japanese windstorms, European windstorms, Southeast U.S. windstorms, and U.S. wildfires. Outside of natural catastrophe losses, Ark has exposure to non-natural or man-made large losses. The current largest exposures are cyber, offshore energy production platforms, terrorism events and political risk.

Kudu

Kudu provides capital solutions for boutique asset and wealth managers for a variety of purposes including generational ownership transfers, management buyouts, acquisition and growth finance, and legacy partner liquidity. Kudu also provides strategic assistance to investees from time to time.

As of June 30, ~~2022,~~2023, Kudu had deployed a total of ~~$654~~$795 million, including transaction costs, in 1822 asset and wealth management firms globally, including ~~one~~three that ~~was~~have been exited. As of June 30, ~~2022,~~2023, the asset and wealth management firms had combined assets under management of approximately ~~$64~~$75 billion, spanning a range of asset classes, including real estate, ~~real assets,~~ wealth management, hedge funds, private equity and alternative credit strategies.

~~As a result of the Kudu Transaction, White Mountains’s basic ownership of Kudu decreased from 99.1% to 89.3%. See~~ ~~Note 2 — “Significant Transactions.”~~

The following table presents the components of GAAP net income, EBITDA and adjusted EBITDA included in ~~White Mountains’s~~the Kudu segment for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022

Net investment income	Net investment income	$	13.8	$	8.4	$	26.4	$	16.6	Net investment income	$	14.7	$	13.8	$	28.9	$	26.4
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(17.6)		27.8		4.7		43.6		Net realized and unrealized investment gains (losses)	4.6		(17.6)		34.2		4.7
Other revenues		—		—		—		.1

Total revenues	Total revenues	(3.8)		36.2		31.1		60.3		Total revenues	19.3		(3.8)		63.1		31.1
General and administrative expenses	General and administrative expenses	3.0		3.2		5.7		5.7		General and administrative expenses	4.0		3.1		7.8		5.9
Amortization of other intangible assets		.1		.1		.2		.2

Interest expense	Interest expense	3.3		1.5		6.1		7.3		Interest expense	5.3		3.3		10.0		6.1
Total expenses	Total expenses	6.4		4.8		12.0		13.2		Total expenses	9.3		6.4		17.8		12.0
GAAP pre-tax income (loss)	GAAP pre-tax income (loss)	(10.2)		31.4		19.1		47.1		GAAP pre-tax income (loss)	10.0		(10.2)		45.3		19.1
Income tax (expense) benefit	Income tax (expense) benefit	1.6		(9.7)		(4.5)		(17.5)		Income tax (expense) benefit	(1.8)		1.6		(9.3)		(4.5)
GAAP net income (loss)	GAAP net income (loss)	(8.6)		21.7		14.6		29.6		GAAP net income (loss)	8.2		(8.6)		36.0		14.6
Add back:	Add back:									Add back:
Interest expense	Interest expense	3.3		1.5		6.1		7.3		Interest expense	5.3		3.3		10.0		6.1
Income tax expense (benefit)	Income tax expense (benefit)	(1.6)		9.7		4.5		17.5		Income tax expense (benefit)	1.8		(1.6)		9.3		4.5
General and administrative expenses - depreciation	General and administrative expenses - depreciation	—		—		—		—		General and administrative expenses - depreciation	—		—		—		—
Amortization of other intangible assets	Amortization of other intangible assets	.1		.1		.2		.2		Amortization of other intangible assets	.2		.1		.2		.2
EBITDA ~~(1)~~(2)	EBITDA ~~(1)~~(2)	(6.8)		33.0		25.4		54.6		EBITDA ~~(1)~~(2)	15.5		(6.8)		55.5		25.4
Exclude:	Exclude:									Exclude:
Net realized and unrealized investment (gains) losses	Net realized and unrealized investment (gains) losses	17.6		(27.8)		(4.7)		(43.6)		Net realized and unrealized investment (gains) losses	(4.6)		17.6		(34.2)		(4.7)
Non-cash equity-based compensation expense	Non-cash equity-based compensation expense	—		.1		.1		.2		Non-cash equity-based compensation expense	—		—		—		.1
Transaction expenses	Transaction expenses	.2		—		.2		—		Transaction expenses	.8		.2		1.3		.2
Adjusted EBITDA ~~(1)~~(2)	Adjusted EBITDA ~~(1)~~(2)	$	11.0	$	5.3	$	21.0	$	11.2	Adjusted EBITDA ~~(1)~~(2)	$	11.7	$	11.0	$	22.6	$	21.0

(1)Net investment income includes revenues from participation contracts and income from short-term investments.

(2) See “NON-GAAP FINANCIAL MEASURES” on page ~~75.~~72.

The following table presents the changes the fair value of Kudu’s Participation Contracts:


	Three Months Ended June 30,				Six Months Ended June 30,
Millions	2023		2022		2023			2022
Beginning balance of Kudu’s Participation Contracts	$	683.2	$	691.8	$	695.9		$	669.5
Contributions to Participation Contracts	50.7		52.8		117.4		(1)	52.8
Proceeds from Participation Contracts sold	(1.4)		—		(110.4)		(1)	—
Net realized and unrealized investment gains (losses) on Participation Contracts sold and pending sale (2)	.9		20.9		(1.2)			24.4
Net unrealized investment gains (losses) on Participation Contracts - all other (3)	3.7		(38.5)		35.4			(19.7)

Ending balance of Kudu’s Participation Contracts	$	737.1	$	727.0	$	737.1		$	727.0

(1) Includes $35.8 of non-cash contributions to (proceeds from) Participation Contracts.

(2) Includes realized and unrealized investment gains (losses) recognized from Participation Contracts beginning in the quarter a contract is classified as pending sale.

(3) Includes unrealized investment gains (losses) recognized from (i) ongoing Participation Contracts and (ii) Participation Contracts prior to classification as pending sale.

Kudu Results—Three Months Ended June 30, ~~2022~~2023 versus Three Months Ended June 30, ~~2021~~2022

Kudu reported total revenues of $19 million, pre-tax income of $10 million and adjusted EBITDA of $12 million in the second quarter of 2023 compared to total revenues of $(4) million, pre-tax loss of $10 million and adjusted EBITDA of $11 million in the second quarter of ~~2022 compared to total~~2022. Total revenues, ~~of $36 million,~~ pre-tax income ~~of $31 million~~(loss) and adjusted EBITDA included $15 million of $5net investment income in the second quarter of 2023 compared to $14 million in the second quarter of ~~2021. Total revenues and pre-tax~~2022. The increase in net investment income in the second quarter of 2023 compared to the second quarter of 2022 was driven primarily by higher dividends from Participation Contracts, due to growth in assets under management, as well as the impact of new deployments made subsequent to June 30, 2022, partially offset by a decrease in dividends as a result of recent sale transactions. Total revenues and pre-tax income (loss) also included ~~$18~~$5 million of net realized and unrealized ~~losses on Kudu’s Participation Contracts compared to $28 million of net unrealized~~investment gains (losses) in the second quarter of 2021. Net unrealized losses on Kudu’s Participation Contracts in the second quarter of 2022 were driven primarily by declines in assets under management at several managers with significant public equity exposure, partially offset by an increase in the fair value of one Participation Contract resulting from a pending sale transaction. However, Kudu’s Participation Contracts performed well relative to market benchmarks in a volatile quarter. Total revenues, pre-tax income and adjusted EBITDA in the second quarter of 2022 also included $14 million of net investment income2023 compared to $8$(18) million in the second quarter of ~~2021.~~2022. The increase in net realized and unrealized investment ~~income~~gains (losses) in the second quarter of 2023 compared to the second quarter of 2022 was driven primarily by ~~amounts earned~~good market performance from ~~the $266 million~~several Participation Contracts, partially offset by an unrealized loss from a publicly listed security, which was received by Kudu in ~~new deployments, including $2.2 million of transaction costs, that Kudu made in 2022 and 2021.~~a prior sale transaction.

Kudu Results—Six Months Ended June 30, ~~2022~~2023 versus Six Months Ended June 30, ~~2021~~2022

Kudu reported total revenues of $63 million, pre-tax income of $45 million and adjusted EBITDA of $23 million in the first six months of 2023, compared to total revenues of $31 million, pre-tax income of $19 million and adjusted EBITDA of $21 million in the first six months of ~~2022 compared to total~~2022. Total revenues, ~~of $60 million,~~ pre-tax income ~~of $47 million~~ and adjusted EBITDA included $29 million of ~~$11~~net investment income first six months of 2023 compared to $26 million in the first six months of ~~2021. Total revenues and pre-tax~~2022. The increase in net investment income in the first six months of 2023 compared to the first six months of 2022 was driven primarily by amounts earned from new deployments made during 2022 and 2023, partially offset by a decrease in dividends as a result of recent sale transactions. Total revenues and pre-tax income also included $5$34 million of net realized and unrealized investment gains ~~on Kudu’s Participation Contracts~~in the first six months of 2023 compared to ~~$44~~$5 million in the first six months of ~~2021.~~2022. Net realized and unrealized gains ~~on Kudu’s Participation Contracts~~ in the first six months of ~~2022~~2023 were ~~driven primarily~~positively impacted by ~~an increase in the fair value of one Participation Contract resulting from a pending~~two recent sale transaction, partially offset by declines in assets under management at several managers with significant public equity exposure. Total revenues, pre-tax income and adjusted EBITDA in the first six months of 2022 also included $26 million of net investment income compared to $17 million in the first six months of 2021. The increase in net investment income was driven primarily by amounts earned from $277 million in new deployments, including $2.2 million of transaction costs, that Kudu made in 2022 and 2021.transactions.

Other Operations

The following table presents the components of pre-tax income (loss) included in White Mountains’s Other Operations ~~segment~~ for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended June 30,				Six Months Ended June 30,					Three Months Ended June 30,				Six Months Ended June 30,
Millions	Millions	2022		2021		2022		2021		Millions	2023		2022		2023		2022
Net investment income	Net investment income	$	3.3	$	4.0	$	5.1	$	11.1	Net investment income	$	7.0	$	3.3	$	14.0	$	5.1
Net realized and unrealized investment gains (losses)	Net realized and unrealized investment gains (losses)	(11.8)		16.6		20.1		18.7		Net realized and unrealized investment gains (losses)	76.0		(11.8)		117.8		20.1
Net realized and unrealized investment gains (losses) from investment in MediaAlpha	Net realized and unrealized investment gains (losses) from investment in MediaAlpha	(113.5)		113.0		(94.7)		71.3		Net realized and unrealized investment gains (losses) from investment in MediaAlpha	(77.3)		(113.5)		7.9		(94.7)
Commission revenues	Commission revenues	2.6		2.3		5.5		4.6		Commission revenues	3.2		2.6		6.5		5.5
Other revenues	Other revenues	30.9		22.4		56.6		29.5		Other revenues	21.3		30.9		51.9		56.6
Total revenues	Total revenues	(88.5)		158.3		(7.4)		135.2		Total revenues	30.2		(88.5)		198.1		(7.4)
Cost of sales	Cost of sales	22.4		17.9		43.8		21.9		Cost of sales	11.6		22.4		25.5		43.8
General and administrative expenses	General and administrative expenses	50.1		29.3		79.0		65.0		General and administrative expenses	48.8		51.0		88.5		80.8
Amortization of other intangible assets		.9		.4		1.8		.9

Interest expense	Interest expense	.3		.4		.6		.7		Interest expense	1.2		.3		2.0		.6
Total expenses	Total expenses	73.7		48.0		125.2		88.5		Total expenses	61.6		73.7		116.0		125.2
Pre-tax income (loss)	Pre-tax income (loss)	$	(162.2)	$	110.3	$	(132.6)	$	46.7	Pre-tax income (loss)	$	(31.4)	$	(162.2)	$	82.1	$	(132.6)

Other Operations Results—Three Months Ended June 30, ~~2022~~2023 versus Three Months Ended June 30, ~~2021~~2022

White Mountains’s Other Operations ~~segment~~ reported pre-tax loss of $31 million in the second quarter of 2023 compared to $162 million in the second quarter of 2022. White Mountains’s Other Operations reported net unrealized investment losses from its investment in MediaAlpha of $77 million in the second quarter of 2023 compared to $114 million in the second quarter of 2022. Excluding MediaAlpha, White Mountains’s Other Operations reported net realized and unrealized investment gains (losses) of $76 million in the second quarter of 2023 compared to $(12) million in the second quarter of 2022. The results in the second quarter of 2023 were driven primarily by gains from other long-term investments and common equity securities, while the results in the second quarter of 2022 were driven primarily by unfavorable returns from other long-term investments. White Mountains’s Other Operations reported net investment income ~~(loss)~~ of ~~$(162)~~$7 million in the second quarter of 2023 compared to $3 million in the second quarter of 2022, driven primarily by the increase in invested assets resulting from the sale of NSM in the third quarter of 2022. See Summary of Investment Results on page 66.

White Mountains’s Other Operations reported $21 million of other revenues in the second quarter of 2023 compared to ~~$110~~$31 million in the second quarter of ~~2021.~~2022. White Mountains’s Other Operations ~~segment~~ reported ~~net realized~~$12 million of cost of sales in the second quarter of 2023 compared to $22 million in the second quarter of 2022. The decreases in other revenues and cost of sales was driven primarily by a recent sale within Other Operations.

White Mountains’s Other Operations reported general and administrative expenses of $49 million in the second quarter of 2023 compared to $51 million in the second quarter of 2022.

Other Operations Results—Six Months Ended June 30, 2023 versus Six Months Ended June 30, 2022

White Mountains’s Other Operations reported pre-tax income (loss) of $82 million in the first six months of 2023, compared to $(133) million in the first six months of 2022. White Mountains’s Other Operations results included unrealized investment gains (losses) from its investment in MediaAlpha of ~~$(114)~~$8 million in the ~~second quarter~~first six months of ~~2022~~2023, compared to ~~$113~~$(95) million in the ~~second quarter~~first six months of ~~2021.~~2022. Excluding MediaAlpha, White Mountains’s Other Operations ~~segment reported~~results included net realized and unrealized investment gains ~~(losses)~~ of ~~$(12)~~$118 million in the ~~second quarter~~first six months of ~~2022~~2023 compared to ~~$17~~$20 million in the ~~second quarter~~first six months of ~~2021,~~2022. The results for the first six months of 2023 were driven primarily by gains from other long-term investments and common equity securities, while the results for the first six month of 2022 were driven primarily by favorable returns from other long-term investments, partially offset by losses in the fixed income portfolio due to rising interest ~~rates in the second quarter of 2022 and gains on other long-term investments in the second quarter of 2021.~~rates. White Mountains’s Other Operations ~~segment reported~~results included net investment income of $3$14 million in the ~~second quarter~~first six months of ~~2022~~2023 compared to $4$5 million in the ~~second~~first six months of 2022, driven primarily by the increase in invested assets resulting from the sale of NSM in the third quarter of ~~2021.~~2022. See Summary of Investment Results on page ~~66.~~66.

The Other Operations segment reported $31 million of other revenues in the second quarter of 2022 compared to $22 million in the second quarter of 2021. The Other Operations segment reported $22 million of cost of sales in the second quarter of 2022 compared to $18 million in the second quarter of 2021. The increases in other revenues and cost of sales were driven primarily by an acquisition within the Other Operations segment in the second quarter of 2021.

The Other Operations segment reported general and administrative expenses of $50 million in the second quarter of 2022 compared to $29 million in the second quarter of 2021. The increase in general and administrative expenses in the second quarter of 2022 compared to the second quarter of 2021 was driven primarily by higher incentive compensation costs related to the NSM Transaction.

~~Other Operations Results—Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021~~

White Mountains’s Other Operations ~~segment~~ reported pre-tax income (loss) of $(133) million in the first six months of 2022 compared to $47 million in the first six months of 2021. White Mountains’s Other Operations segment reported net realized and unrealized investment gains (losses) from its investment in MediaAlpha of $(95) million in the first six months of 2022 compared to $71 million in the first six months of 2021. Excluding MediaAlpha, White Mountains’s Other Operations segment reported net realized and unrealized investment gains of $20 million in the first six months of 2022 compared to $19 million in the first six months of 2021. White Mountains’s Other Operations segment reported net investment income of $5 million in the first six months of 2022 compared to $11 million in the first six months of 2021, driven primarily by lower distributions from private equity funds in the first six months of 2022 compared to the first six months of 2021. See ~~Summary of Investment Results~~ ~~on page 66.~~

~~The Other Operations segment reported $57~~$52 million of other revenues in the first six months of ~~2022~~2023 compared to ~~$30~~$57 million in the first six months of ~~2021. The~~2022. Other revenues in the first six months of 2023 included a transaction gain from a recent sale within Other Operations, ~~segment~~which was more than offset by a reduction in operating revenues for the sold entity. White Mountains’s Other Operations reported ~~$44~~$26 million of cost of sales in the first six months of ~~2022~~2023, compared to ~~$22~~$44 million in the first six months of ~~2021.~~2022. The ~~increases~~decrease in ~~other revenues and~~ cost of sales ~~were~~was driven primarily by ~~an acquisition~~the recent sale within ~~the~~Other Operations.

White Mountains’s Other Operations ~~segment in the first six months of 2021.~~

~~The Other Operations segment~~ reported general and administrative expenses of ~~$79~~$89 million in the first six months of ~~2022~~2023, compared to ~~$65~~$81 million in the first six months of ~~2021.~~2022. The increase in general and administrative expenses in the first six months of ~~2022~~2023 compared to the first six months of ~~2021~~2022 was driven primarily by ~~higher incentive compensation costs related~~two acquisitions within Other Operations in the second half of 2022, partially offset by a decrease due to the ~~NSM Transaction.~~recent sale within Other Operations.

II. Summary of Investment Results

White Mountains’s total investment results include results from all segments. For purposes of discussing rates of return, ~~all~~ percentages are presented gross of management fees and trading ~~expenses and~~expenses. For 2022 returns, percentages are calculated before any adjustments for TPC Providers in order to produce a better comparison to benchmark returns.

Gross Investment Returns and Benchmark Returns

Prior to the MediaAlpha IPO, White Mountains’s investment in MediaAlpha was presented within other long-term investments. Following the MediaAlpha IPO, White Mountains presents its investment in MediaAlpha in a separate line item on the balance sheet. Amounts for periods prior to the MediaAlpha IPO have been reclassified to be comparable to the current period.

The following table presents the pre-tax investment returns for White Mountains’s consolidated portfolio for the three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:


		Three Months Ended				Six Months Ended
		June 30,				June 30,					Three Months Ended June 30,				Six Months Ended June 30,
		2022		2021		2022		2021			2023		2022		2023		2022

Fixed income investments	Fixed income investments	(2.4)	%	0.8	%	(5.5)	%	(0.1)	%	Fixed income investments	0.5	%	(2.4)	%	2.4	%	(5.5)	%
Bloomberg Barclays U.S. Intermediate Aggregate Index	Bloomberg Barclays U.S. Intermediate Aggregate Index	(2.9)	%	0.8	%	(7.5)	%	(0.8)	%	Bloomberg Barclays U.S. Intermediate Aggregate Index	(0.7)	%	(2.9)	%	1.6	%	(7.5)	%

Common equity securities	Common equity securities	(4.0)	%	3.6	%	(3.8)	%	5.5	%	Common equity securities	4.8	%	(4.0)	%	9.6	%	(3.8)	%

Investment in MediaAlpha	Investment in MediaAlpha	(40.5)	%	18.8	%	(36.2)	%	8.7	%	Investment in MediaAlpha	(31.3)	%	(40.5)	%	3.4	%	(36.2)	%
Other long-term investments	Other long-term investments	(1.3)	%	5.7	%	4.6	%	10.0	%	Other long-term investments	4.9	%	(1.3)	%	9.3	%	4.6	%
Total common equity securities, investment in MediaAlpha and other long-term investments	Total common equity securities, investment in MediaAlpha and other long-term investments	(7.2)	%	10.0��	%	(2.2)	%	10.9	%	Total common equity securities, investment in MediaAlpha and other long-term investments	1.4	%	(7.2)	%	9.1	%	(2.2)	%
Total common equity securities and other long-term investments	Total common equity securities and other long-term investments	(1.8)	%	5.4	%	3.1	%	9.4	%	Total common equity securities and other long-term investments	4.9	%	(1.8)	%	9.5	%	3.1	%
S&P 500 Index (total return)	S&P 500 Index (total return)	(16.1)	%	8.5	%	(20.0)	%	15.3	%	S&P 500 Index (total return)	8.7	%	(16.1)	%	16.9	%	(20.0)	%

Total consolidated portfolio	Total consolidated portfolio	(4.7)	%	5.0	%	(4.0)	%	4.7	%	Total consolidated portfolio	0.9	%	(4.7)	%	5.5	%	(4.0)	%
Total consolidated portfolio - excluding MediaAlpha	Total consolidated portfolio - excluding MediaAlpha	(2.1)	%	2.4	%	(1.9)	%	3.1	%	Total consolidated portfolio - excluding MediaAlpha	3.0	%	(2.1)	%	6.1	%	(1.9)	%

Investment Returns—Three and Six Months Ended June 30, ~~2022~~2023 versus Three and Six Months Ended June 30, ~~2021~~2022

~~Excluding MediaAlpha, investment returns in the second quarter of~~ 2022, ~~were~~ driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates.

White Mountains’s ~~pre-tax~~ total consolidated portfolio return on invested assets was -4.0% in the first six months of ~~2022. This return~~2022, which included $95 million of unrealized investment losses from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was -1.9% in ~~first six months of 2022. Excluding MediaAlpha, investment returns in~~ the first six months of 2022, ~~were~~ driven primarily by net unrealized investment losses in the fixed income portfolio due to rising interest rates, partially offset by favorable other long-term investment results. White Mountains’s pre-tax total consolidated portfolio return on invested assets was 4.7% in the first six months of 2021. This return included $71 million of net realized and unrealized investment gains from White Mountains’s investment in MediaAlpha. Excluding MediaAlpha, the total consolidated portfolio return on invested assets was 3.1% in the first six months of 2021. Excluding MediaAlpha, investment returns in the first six months of 2021 were driven primarily by favorable other long-term investment results.

Fixed Income Results

White Mountains’s fixed income portfolio, including short-term investments, was ~~$2.1~~$2.9 billion and ~~$2.4~~$2.8 billion as of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, which represented 52% and ~~56%~~55% of total invested assets. The duration of White Mountains’s fixed income portfolio, including short-term investments, was ~~3.1~~2.2 years and ~~2.6~~2.3 years as of June 30, ~~2022~~2023 and December 31, ~~2021.~~2022. White Mountains’s fixed income portfolio includes fixed maturity ~~investments~~ and short-term investments ~~in the HG Re Collateral Trusts of $462 million and $480 million~~held on deposit or as ~~of June 30, 2022 and December 31, 2021.~~collateral. See Note 3 — “Investment Securities.”

White Mountains’s fixed income portfolio ~~return was~~returned 0.5% in the second quarter of 2023, compared to -2.4% in the second quarter of 2022, compared to 0.8% in the second quarter of 2021, outperforming and in line with the Bloomberg Barclays U.S. Intermediate Aggregate Index returns of -2.9% and 0.8% for the comparable periods. White Mountains’s fixed income portfolio returned -5.5% in the first six months of 2022, compared to -0.1% in the first six months of 2021, outperforming the Bloomberg Barclays U.S. Intermediate Aggregate Index returns of ~~-7.5%~~-0.7% and ~~-0.8%~~-2.9% for the comparable periods.

The ~~relative~~ results in the second quarter ~~and first six months~~of 2023 were driven primarily by higher net investment income, partially offset by net unrealized investment losses due to the increase in interest rates on White Mountains’s short duration portfolio. The results in the second quarter of 2022 were driven primarily by ~~the impact of~~net unrealized investment losses from White Mountains’s short duration positioning as interest rates increased in ~~both periods. The results~~the period.

White Mountains’s fixed income portfolio returned 2.4% in the ~~second quarter~~first six months of ~~2021 were driven primarily by~~2023, compared to -5.5% in the ~~impact~~first six months of ~~White Mountains’s overweight positioning to investment grade corporate bonds as longer-term interest rates declined during~~2022, outperforming the ~~quarter.~~Bloomberg Barclays U.S. Intermediate Aggregate Index returns of 1.6% and -7.5% for the comparable periods. The results in the first six months of ~~2021~~2023 were driven primarily by net investment income as shorter-term interest rates moved higher in the period. The results in the first six months of 2022 were driven primarily by net unrealized investment losses from White Mountains’s short duration positioning ~~of White Mountains’s fixed income portfolio~~ as interest rates increased ~~during~~significantly in the period.

Common Equity Securities, Investment in MediaAlpha and Other Long-Term Investments Results

White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments was ~~$1.9~~$2.7 billion and $2.3 billion as of June 30, ~~2022~~2023 and December 31, ~~2021,~~2022, which represented 48% and ~~44%~~45% of total invested assets. See~~See~~ Note 3 — “Investment Securities.”

White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned 1.4% in the second quarter of 2023, which included $77 million of unrealized investment losses from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned 4.9% in the second quarter of 2023. White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned -7.2% in the second quarter of 2022, which included $114 million of unrealized investment losses from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned -1.8% in the second quarter of 2022.

White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned ~~10.0%~~9.1% in the ~~second quarter~~first six months of ~~2021,~~2023, which included ~~$113~~$8 million of unrealized investment gains from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned ~~5.4%~~9.5% in the ~~second quarter~~first six months of ~~2021.~~

2023. White Mountains’s portfolio of common equity securities, its investment in MediaAlpha and other long-term investments returned -2.2% in the first six months of 2022, which included $95 million of unrealized investment losses from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned 3.1% in the first six months of 2022.

White Mountains’s portfolio of common equity securities its investment in MediaAlpha and other long-term investments returned 10.9% in the first six months of 2021, which included $71 million of net realized and unrealized investment gains from MediaAlpha. White Mountains’s portfolio of common equity securities and other long-term investments returned 9.4% in the first six months of 2021.

~~White Mountains maintains a portfolio of common equity securities that~~ consists of international listed equity funds, ~~held in~~as well as passive ETFs that seek to provide investment results generally corresponding to the ~~Ark portfolio.~~performance of the S&P 500 Index. White Mountains’s portfolio of common equity securities was ~~$279~~$655 million and ~~$251~~$668 million as of June 30, ~~2022~~2023 and December 31, ~~2021.~~2022.

White Mountains’s portfolio of common equity securities returned 4.8% in the second quarter of 2023 compared to -4.0% in the second quarter of 2022, ~~compared to 3.6% in the second quarter of 2021,~~underperforming and outperforming ~~and underperforming~~ the S&P 500 Index returns of ~~-16.1%~~8.7% and ~~8.5%~~-16.1% for the comparable periods. White Mountains’s portfolio of common equity securities returned 9.6% in the first six months of 2023, compared to -3.8% in the first six months of 2022, ~~compared to 5.5% in the first six months of 2021,~~underperforming and outperforming ~~and underperforming~~ the S&P 500 Index returns of ~~-20.0%~~16.9% and ~~15.3%~~-20.0% for the comparable periods. The results in the second quarter and first six months of ~~2022~~2023 and ~~2021~~2022 were driven primarily by relative ~~outperformance~~underperformance and ~~underperformance~~outperformance in White Mountains’s international listed equity funds as compared to the S&P 500 Index.

White Mountains maintains a portfolio of other long-term investments that consists primarily of unconsolidated entities, including Kudu’s Participation Contracts, private equity funds and hedge funds, a bank loan fund, Lloyd’s trust deposits, ILS funds and private debt ~~investments.~~instruments. White Mountains’s portfolio of other long-term investments was ~~$1.5~~$1.8 billion and ~~$1.4~~$1.5 billion as of June 30, ~~2022~~2023 and December 31, ~~2021.~~2022.

White Mountains’s other long-term investments portfolio returned 4.9% in the second quarter of 2023 compared to -1.3% in the second quarter of ~~2022 compared to 5.7% in~~2022. Investment returns for the second quarter of ~~2021.~~2023 were driven primarily by net unrealized investment gains from private equity funds and net investment income from Kudu’s Participation Contracts. Investment returns for the second quarter of 2022 were driven primarily by ~~$11 million of~~ net investment income, ~~and~~ net realized and unrealized investment losses from private equity funds and hedge funds, ~~and $13 million of~~as well as net unrealized losses from foreign currency.

White Mountains’s other long-term investments portfolio returned 9.3% in the first six months of 2023 compared to 4.6% in the first six months of 2022. Investment returns for the ~~second quarter~~first six months of ~~2021~~2023 were driven primarily by ~~$36 million of net investment income and net unrealized investment gains from Kudu’s Participation Contracts and $13 million of~~ net investment income and net realized and unrealized investment gains from Kudu’s Participation Contracts, as well as net unrealized investment gains from private equity funds.

~~White Mountains’s other long-term investments portfolio returned 4.6% in the first six months of 2022 compared to 10.0% in the first six months of 2021.~~ Investment returns for the first six months of 2022 were driven primarily by ~~$32 million of~~ net investment income and net realized and unrealized investment gains from private equity funds and hedge funds, and $31 million of net investment income, net unrealized investment gains, and unrealized foreign currency losses from Kudu’s Participation Contracts. Investment returns in the first six months of 2021 were driven primarily by $60 million ofas well as net investment income and net unrealized investment gains from Kudu’s Participation ~~Contracts and $28 million of net investment income and net realized and unrealized investment gains from private equity funds.~~Contracts.

Foreign Currency Exposure

As of June 30, ~~2022,~~2023, White Mountains had foreign currency exposure on ~~$189~~$216 million of net assets ~~from continuing operations~~ primarily related to ~~Ark’s~~Ark/WM Outrigger’s non-U.S. business, Kudu’s non-U.S. Participation Contracts, and certain other foreign consolidated and unconsolidated ~~entities within the Other Operations segment.~~entities.

The following table presents the fair value of White Mountains’s foreign denominated net assets ~~(net liabilities)~~(liabilities) by segment as of June 30, ~~2022:~~2023:


Currency $ in Millions		Ark		Kudu		Other Operations		Total Fair Value		% of Total Shareholders’ Equity
$ in Millions Currency												$ in Millions Currency	Ark/WM Outrigger				Kudu	Other Operations			Total Fair Value			% of Total Shareholders’ Equity
CAD	CAD	$	61.0	$	78.5	$	—	$	139.5	4.0	%			CAD	$	72.4			$	76.1		$	—		$	148.5	3.6	%
AUD	AUD	19.5		37.6		—		57.1		1.6				AUD	21.2				36.1			—			57.3		1.4	%
GBP	GBP	36.6		—		—		36.6		1.0				GBP	41.0				—			—			41.0		1.0	%
EUR	EUR	(58.1)		—		11.9		(46.2)		(1.3)				EUR	(46.4)				—			13.2			(33.2)		(.8)	%
All other	All other	—		—		1.9		1.9		.1				All other	—				—			2.0			2.0		—	%
Total	Total	$	59.0	$	116.1	$	13.8	$	188.9	5.4	%			Total	$	88.2			$	112.2		$	15.2		$	215.6	5.2	%

III. Income Taxes

The Company and its Bermuda domiciled subsidiaries are not subject to Bermuda income tax under current Bermuda law. In the event there is a change in the current law ~~such that~~and taxes are imposed, the Bermuda Exempted Undertakings Tax Protection Act of 1966 states that the Company and its Bermuda domiciled subsidiaries would be exempt from such tax until March 31, 2035. The Company has subsidiaries and branches that operate in various other jurisdictions around the world ~~and~~that are subject to tax in the jurisdictions in which they operate. As of June 30, ~~2022,~~2023, the primary jurisdictions in which the Company’s subsidiaries and branches were subject to tax ~~were~~include Ireland, Israel, Luxembourg, the United Kingdom and the United States.

White Mountains’s income tax expense related to pre-tax income from continuing operations for the three and six months ended June 30, 2023 represented an effective tax rate of 1% and 6%. The effective tax rate was different from the U.S. statutory rate of 21%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States.

White Mountains’s income tax benefit related to pre-tax loss from continuing operations for the three and six months ended June 30, 2022 represented an effective tax rate of 7% and 8%. The effective tax rate was different from the U.S. statutory rate of 21% driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by a full valuation allowance on net deferred tax assets in certain U.S. operations, consisting of the WM Adams, Inc. consolidated tax group within the Other Operations segment, and BAM and state income taxes.

White Mountains’s income tax expense related to pre-tax income from continuing operations for the three months ended June 30, 2021 represented an effective tax rate of 19%. The effective tax rate was different from the U.S. statutory rate of 21%, driven primarily by full year forecasted income in jurisdictions with lower tax rates than the United States, partially offset by ~~additional tax expense related to~~an increase in the ~~revaluation of U.K.~~full valuation allowance on net deferred tax assets ~~and liabilities. On June 10, 2021, the U.K. enacted~~in certain U.S. operations within Other Operations, an increase in ~~its~~the full valuation allowance at BAM and state income taxes.

On April 1, 2023, the U.K. corporate tax rate increased from 19% to 25% for periods after April 1, 2023. On June 30, 2021, White Mountains increased its net U.K. deferred tax liability to reflect the higher tax rate on temporary differences projected to reverse after the new rate becomes effective.

~~White Mountains’s income tax expense related to pre-tax income from continuing operations for the six months ended June 30, 2021 represented an effective tax rate of 42%~~. The effective tax rate was different from the U.S. statutory rate of 21%, driven primarily by the additional tax expense related to the revaluation of U.K. deferred tax assets and liabilities in relation to White Mountains’s pre-tax income in the first six months of 2021.

IV. Discontinued Operations

NSM

On August 1, 2022, White Mountains closed the ~~previously announced~~ NSM Transaction. White Mountains received $1.4 billion in net cash proceeds at closing and recognized a net gain of $876 million, which was comprised of $887 million of net gain from sale of discontinued operations and $3 million of comprehensive income related to the recognition of foreign currency translation gains (losses) from the sale, partially offset by $14 million of compensation and other costs related to the transaction recorded in Other Operations. See Note 2 — “Significant Transactions.”

~~As a result~~White Mountains reported net income from discontinued operations, net of the NSM Transaction, effective as of and for the periods ended June 30, 2022, the assets and liabilities of NSM Group have been presented in the balance sheet as held for sale, and the results of operationstax, for NSM Group ~~have been classified as discontinued operations in the statements~~ of ~~operations~~$6 million and ~~comprehensive income. Prior period amounts have been reclassified to conform to the current period’s presentation.~~

NSM is a full-service MGA and program administrator with delegated binding authorities for specialty property and casualty insurance. The company places insurance in niche sectors such as specialty transportation, pet, real estate, and social services. On behalf of its insurance carrier partners, NSM typically manages all aspects of the placement process, including product development, marketing, underwriting, policy issuance and claims. NSM earns commissions based on the volume and profitability of the insurance that it places. NSM does not take insurance risk.

~~The following table presents the components of GAAP net income (loss), EBITDA and adjusted EBITDA for NSM~~$10 million for the three and six months ended June 30, ~~2022 and 2021:~~

Three Months Ended June 30, Six Months Ended June 30,
Millions 2022 2021 2022 2021
Commission revenues $ 80.2 $ 68.0 $ 150.3 $ 127.6
Broker commission expenses 24.1 21.6 44.7 40.5
Gross profit 56.1 46.4 105.6 87.1
Other revenues 22.7 16.3 41.1 31.5
General and administrative expenses (2)
57.1 47.3 111.1 93.3
Change in fair value of contingent consideration — .2 .1 .2
Amortization of other intangible assets — 8.2 9.1 16.8
Loss on assets held for sale — — — 28.7
Interest expense 8.4 5.9 10.5 11.8
GAAP pre-tax income (loss) 13.3 1.1 15.9 (32.2)
Income tax (expense) benefit (2)
(6.2) (1.2) (5.8) 6.8
GAAP net income (loss) 7.1 (.1) 10.1 (25.4)
Add back:
Interest expense 8.4 5.9 10.5 11.8
Income tax expense (benefit) 6.2 1.2 5.8 (6.8)
General and administrative expenses — depreciation — 1.2 1.2 2.3
Amortization of other intangible assets — 8.2 9.1 16.8
EBITDA (1)
21.7 16.4 36.7 (1.3)
Exclude:
Change in fair value of contingent consideration — .2 .1 .2
Non-cash equity-based compensation expense 6.3 .5 7.1 1.1
Impairments of intangible assets — — — —
Loss on assets held for sale — — — 28.7
Transaction expenses .4 .2 1.7 .2
Investments made in the development of new business lines .2 .1 .5 .1
Restructuring expenses .2 1.6 .8 4.4
Adjusted EBITDA (1)
$ 28.8 $ 19.0 $ 46.9 $ 33.4

~~(1)~~ ~~See~~ ~~“NON-GAAP FINANCIAL MEASURES”~~ ~~on page 75.~~

~~(2)~~ ~~The amounts presented do not include certain balances related to NSM’s parent holding company, which are included within discontinued operations as of June 30,~~ 2022.

~~NSM Results—Three Months Ended June 30, 2022 versus Three Months Ended June 30, 2021~~

NSM reported commission and other revenues of $103 million, pre-tax income of $13 million and adjusted EBITDA of $29 million in the second quarter of 2022. NSM reported commission and other revenues of $84 million, pre-tax income of $1 million and adjusted EBITDA of $19 million in the second quarter of 2021. Results for the second quarter of 2022 include the results of J.C. Taylor, an MGA offering classic and antique collector car insurance, which was acquired on August 6, 2021. In addition to the acquisition of J.C. Taylor, commission and other revenues, pre-tax income and adjusted EBITDA benefited from growth in the pet, real estate and specialty transportation verticals. NSM’s general and administrative expenses were $57 million in the second quarter of 2022 compared to $47 million in the second quarter of 2021, driven primarily by the acquisition of J.C. Taylor and increases in personnel costs.

~~NSM Results—Six Months Ended June 30, 2022 versus Six Months Ended June 30, 2021~~

NSM reported commission and other revenues of $191 million, pre-tax income of $16 million and adjusted EBITDA of $47 million in the first six months of 2022. NSM reported commission and other revenues of $159 million, pre-tax loss of $32 million and adjusted EBITDA of $33 million in the first six months of 2021. Results for the first six months of 2022 include the results of J.C. Taylor, an MGA offering classic and antique collector car insurance, which was acquired on August 6, 2021. In addition to the acquisition of J.C. Taylor, commission and other revenues, pre-tax income and adjusted EBITDA benefited from growth in the pet, specialty transportation and real estate verticals. NSM’s general and administrative expenses were $111 million in the first six months of 2022 compared to $93 million in the first six months of 2021, driven primarily by the acquisition of J.C. Taylor and increases in personnel costs. NSM’s pre-tax loss in the first six months of 2021 included a loss of $29 million related to the sale of its Fresh Insurance motor business, which was sold on April 12, 2021.

~~Sirius Group~~

In the first quarter of 2021, White Mountains recorded an $18 million gain within discontinued operations as a result of reversing a liability arising from the tax indemnification provided in connection with the sale of Sirius Group in 2016 and a $1 million gain related to foreign currency translation. The liability related to certain interest deductions claimed by Sirius Group that had been disputed by the Swedish Tax Agency. In April 2021, the Swedish Tax Agency informed the Swedish Administrative Court of Appeal that Sirius Group should prevail in its appeal (and that the interest deductions should not be disallowed). In June 2021, the Swedish Administrative Court of Appeal ruled in Sirius Group’s favor. See Note 19 — “Held for Sale and Discontinued ~~Operations”~~ ~~on page 45.~~Operations.”

LIQUIDITY AND CAPITAL RESOURCES

Operating Cash and Short-term Investments

Holding Company Level

The primary sources of cash for the Company and certain of its intermediate holding companies are expected to be distributions from its insurance, reinsurance and other operating subsidiaries, net investment income, proceeds from sales, repayments and maturities of investments, capital raising activities and, from time to time, proceeds from sales of operating subsidiaries. The primary uses of cash are expected to be general and administrative expenses, purchases of investments, payments to tax authorities, payments on and repurchases/retirements of debt obligations, dividend payments to holders of the Company’s common shares, distributions to ~~non-controlling~~noncontrolling interest holders of consolidated subsidiaries, contributions to operating subsidiaries and, from time to time, purchases of operating subsidiaries and repurchases of the Company’s common shares.

Operating Subsidiary Level

The primary sources of cash for White Mountains’s insurance, reinsurance and other operating subsidiaries are expected to be premium and fee collections, commissions, net investment income, proceeds from sales, repayments and maturities of investments, contributions from holding companies and capital raising activities. The primary uses of cash are expected to be claim payments, policy acquisition costs, general and administrative expenses, broker commission expenses, cost of sales, purchases of investments, payments to tax authorities, payments on and repurchases/retirements of debt obligations, distributions ~~made~~ to holding companies, distributions to ~~non-controlling~~noncontrolling interest holders and, from time to time, purchases of operating subsidiaries.

Both internal and external forces influence White Mountains’s financial condition, results of operations and cash flows. Premium and fee collections, investment returns, ~~claims~~claim payments and cost of sales may be impacted by changing rates of inflation and other economic conditions. Some time may lapse between the occurrence of an insured loss, the reporting of the loss to White Mountains’s insurance and reinsurance operating subsidiaries and the settlement of the liability for that loss. The exact timing of the payment of losses cannot be predicted with certainty. White Mountains’s insurance and reinsurance operating subsidiaries maintain portfolios of invested assets with varying maturities and a substantial amount of cash and short-term investments to provide adequate liquidity for the payment of claims.

Management believes that White Mountains’s cash balances, cash flows from operations and routine sales and maturities of investments are adequate to meet expected cash requirements for the foreseeable future onat both a holding company and insurance, reinsurance and other operating subsidiary level.

Dividend Capacity

Following is a description of the dividend capacity of White Mountains’s insurance and reinsurance and other operating subsidiaries:

HG Global/BAM

As of June 30, ~~2022,~~2023, HG Global had $619 million face value of preferred shares outstanding, of which White Mountains owned 96.9%. Holders of the HG Global preferred shares are entitled to receive cumulative dividends at a fixed annual rate of 6.0% on a quarterly basis, when and if declared by HG Global. As of June 30, ~~2022,~~2023, HG Global has accrued ~~$325~~$384 million of dividends payable to holders of its preferred shares, ~~$313~~$370 million of which is payable to White Mountains and is eliminated in consolidation. As of June 30, ~~2022,~~2023, HG Global and its subsidiaries had ~~$32~~less than $1 million of net unrestricted cash outside of HG Re.

On April 29, 2022, HG Global received the proceeds of its new $150 million, 10-year term loan credit facility. In turn, on May 2, 2022, HG Global paid a $120 million cash dividend to shareholders, of which $116 million was paid to White Mountains.

HG Re is a ~~Special Purpose Insurer~~special purpose insurer subject to regulation and supervision by the ~~BMA, but it~~BMA. HG Re does not require regulatory approval to pay ~~dividends. However, HG Re’s~~dividends, however, its dividend capacity is limited to amounts held outside of the Collateral Trusts pursuant to the FLRT with BAM. As of June 30, ~~2022,~~2023, HG Re had $2$1 million of net unrestricted cash and investments and ~~$120~~$112 million of accrued interest on the BAM Surplus Notes held outside the Collateral Trusts. As of June 30, ~~2022,~~2023, HG Re had ~~$732~~$753 million of statutory capital and surplus and ~~$837~~$892 million of assets held in the Collateral ~~Trusts pursuant to the FLRT with BAM.~~Trusts.

On a monthly basis, BAM deposits cash equal to ceded premiums, net of ceding commissions, due to HG Re under the FLRT directly into the Regulation 114 Trust. The Regulation 114 Trust target balance is equal to ~~gross ceded~~HG Re’s unearned premiums and unpaid ~~ceded~~ loss and LAE ~~expenses,~~reserves, if any. If, at the end of any quarter, the Regulation 114 Trust balance is below the target balance, funds will be withdrawn from the Supplemental Trust and deposited into the Regulation 114 Trust in an amount equal to the shortfall. If, at the end of any quarter, the Regulation 114 Trust balance is above 102% of the target balance, funds will be withdrawn from the Regulation 114 Trust and deposited into the Supplemental Trust.

The Supplemental Trust Target Balance is $603 million, less the amount of cash and securities in the Regulation 114 Trust in excess of its target balance. If, at the end of any quarter, the Supplemental Trust balance exceeds the Supplemental Trust Target Balance, such excess may be distributed to HG Re. The distribution will be made first as an assignment of accrued interest on the BAM Surplus Notes and second in cash and/or fixed income securities. As the BAM Surplus Notes are repaid over time, the BAM Surplus Notes will be replaced in the Supplemental Trust by cash and fixed income securities. The Supplemental Trust balance as of June 30, 2023 was $586 million.

As of June 30, ~~2022,~~2023, the Collateral Trusts held assets of ~~$837~~$892 million, which included ~~$464~~$526 million of cash and investments, ~~$365~~$340 million of BAM Surplus Notes and $8$26 million of interest receivable on the BAM Surplus Notes.

During the ~~three and~~ six months ended June 30, ~~2022,~~2023, BAM made no repayments of the BAM Surplus Notes or accrued interest. See Note 10 — “Municipal Bond Guarantee Insurance.”

~~Ark~~Ark/WM Outrigger

During any 12-month period, GAIL, a class 4 licensed Bermuda insurer, has the ability to (i) make capital distributions ~~based on~~of up to 15% of its total statutory capital per the previous year’s statutory financial statements, or (ii) make dividend payments ~~based on~~of up to 25% of its total statutory capital and surplus per the previous year’s statutory financial statements, without prior approval of Bermuda regulatory authorities. Accordingly, ~~White Mountains expects~~ GAIL will have the ability to make capital distributions of ~~$114~~up to $113 million during ~~2022,~~2023, which is equal to 15% of its December 31, ~~2021~~2022 statutory capital of ~~$758~~$755 million, subject to meeting all appropriate liquidity and solvency requirements. During the six months ended June 30, ~~2022,~~2023, GAIL ~~did not pay~~paid a $15 million dividend to its immediate parent.

During the six months ended June 30, 2023, Ark paid a $24 million dividend to its shareholders, including $17 million to White Mountains. As of June 30, ~~2022,~~2023, Ark and its intermediate holding companies had ~~$25~~$1 million of net unrestricted cash ~~short-term investments~~ and ~~fixed maturity~~short-term investments outside of its regulated and unregulated insurance and reinsurance operating subsidiaries. ~~During~~

WM Outrigger Re is a special purpose insurer subject to regulation and supervision by the ~~six months ended~~BMA. WM Outrigger Re does not require regulatory approval to pay dividends, however, its dividend capacity is limited to amounts held outside of the collateral trust pursuant to the reinsurance agreement with GAIL. As of June 30, ~~2022, Ark paid a $5 million dividend to shareholders, $4~~2023, WM Outrigger Re had less than $1 million of ~~which was paid~~net unrestricted cash and investments held outside the collateral trust. As of June 30, 2023, WM Outrigger Re had $220 million of statutory capital and surplus and $211 million of assets held in the collateral trusts pursuant to ~~White Mountains.~~the reinsurance agreement with GAIL.

Kudu

During the six months ended June 30, ~~2022,~~2023, Kudu distributed ~~$13~~$69 million to unitholders, substantially all of which was paid to White Mountains. As of June 30, ~~2022,~~2023, Kudu had ~~$117~~$16 million of net unrestricted ~~cash.~~cash and short-term investments.

Other Operations

During the six months ended June 30, ~~2022,~~2023, White Mountains paid a $3 million common share dividend. As of June 30, ~~2022,~~2023, the Company and its intermediate holding companies had ~~$349~~$546 million of net unrestricted cash, short-term investments and fixed maturity investments, ~~$167~~$236 million of MediaAlpha common stock, $273 million of common equity securities and ~~$224~~$393 million of private equity and hedge funds, ILS funds and ~~ILS funds.~~certain unconsolidated entities.

~~Discontinued Operations~~

~~NSM~~

During the six months ended June 30, 2022, NSM distributed $4 million to unitholders, substantially all of which was paid to White Mountains. As of June 30, 2022, NSM had $34 million of net unrestricted cash.

7270

Financing

The following table presents White Mountains’s capital structure as of June 30, ~~2022~~2023 and December 31, ~~2021:~~2022:


$ in Millions	$ in Millions	June 30, 2022			December 31, 2021			$ in Millions	June 30, 2023			December 31, 2022

HG Global Senior Notes (1)	HG Global Senior Notes (1)	$	146.3		$	—		HG Global Senior Notes (1)	$	146.7		$	146.5
Ark 2007 Subordinated Notes (1)	Ark 2007 Subordinated Notes (1)	30.0			30.0			Ark 2007 Subordinated Notes (1)	30.0			30.0

Ark 2021 Subordinated Notes (1)(2)	Ark 2021 Subordinated Notes (1)(2)	153.5			155.9			Ark 2021 Subordinated Notes (1)(2)	155.1			153.7
Kudu Credit Facility (1)(2)	Kudu Credit Facility (1)(2)	253.3			218.2			Kudu Credit Facility (1)(2)	203.7			208.3
Other Operations debt (1)(2)	Other Operations debt (1)(2)	35.0			16.8			Other Operations debt (1)(2)	30.6			36.7
Total debt from continuing operations		618.1			420.9
Debt from discontinued operations (2)(3)		261.7			272.1

Total debt	Total debt	879.8			693.0			Total debt	566.1			575.2
Non-controlling interests—excluding BAM		322.6			280.6
Noncontrolling interests—excluding BAM								Noncontrolling interests—excluding BAM	360.9			342.8
Total White Mountains’s common shareholders’ equity	Total White Mountains’s common shareholders’ equity	3,323.3			3,548.1			Total White Mountains’s common shareholders’ equity	3,922.2			3,746.9
Total capital	Total capital	4,525.7			4,521.7			Total capital	4,849.2			4,664.9
Time-value discount on expected future payments on the BAM Surplus Notes ~~(4)~~(3)	Time-value discount on expected future payments on the BAM Surplus Notes ~~(4)~~(3)	(115.9)			(125.9)			Time-value discount on expected future payments on the BAM Surplus Notes ~~(4)~~(3)	(91.8)			(95.1)
HG Global’s unearned premium reserve ~~(4)~~(3)	HG Global’s unearned premium reserve ~~(4)~~(3)	221.6			214.6			HG Global’s unearned premium reserve ~~(4)~~(3)	246.8			242.1
HG Global’s net deferred acquisition costs ~~(4)~~(3)	HG Global’s net deferred acquisition costs ~~(4)~~(3)	(62.6)			(60.8)			HG Global’s net deferred acquisition costs ~~(4)~~(3)	(70.7)			(69.0)
Total adjusted capital	Total adjusted capital	$	4,568.8		$	4,549.6		Total adjusted capital	$	4,933.5		$	4,742.9

Total debt to total adjusted capital	Total debt to total adjusted capital	19.3		%	15.2		%	Total debt to total adjusted capital	11.5		%	12.1		%

(1) See Note 7 — “Debt” for details of debt ~~arrangements from continuing operations.~~arrangements.

(2) Net of unamortized issuance costs.

(3) The NSM bank facility with Ares Capital Corporation and the other NSM debt was settled in conjunction with the closing of the NSM Transaction and has been classified as held for sale as of June 30, 2022 and December 31, 2021.

~~(4)~~ Amount reflects White Mountains’s preferred share ownership in HG Global of 96.9%.

Management believes that White Mountains has the flexibility and capacity to obtain funds externally through debt or equity financing on both a short-term and long-term basis. However, White Mountains can provide no assurance that, if needed, it would be able to obtain additional debt or equity financing on satisfactory terms, if at all.

It is possible that, in the future, one or more of the rating agencies may lower White Mountains’s existing ratings. If one or more of its ratings were lowered, White Mountains could incur higher borrowing costs on future borrowings and its ability to access the capital markets could be impacted.

Covenant Compliance

As of June 30, ~~2022,~~2023, White Mountains was in compliance in all material respects with all of the covenants under its debt instruments.

Share ~~Repurchases~~Repurchase Programs

White Mountains’s ~~board~~Board of ~~directors~~Directors has authorized the Company to repurchase its common shares from time to time, subject to market conditions. The repurchase authorizations do not have a stated expiration date. As of June 30, ~~2022,~~2023, White Mountains may repurchase an additional ~~364,700~~301,014 shares under these ~~board~~Board authorizations. In addition, from time to time, White Mountains has also repurchased its common shares through ~~tender~~self-tender offers that were separately approved by its ~~board~~Board of ~~directors.~~Directors.

During the six months ended June 30, 2023, White Mountains repurchased and retired 24,165 of its common shares for $33 million at an average share price of $1,355, which was approximately 86% of White Mountains’s adjusted book value per share as of June 30, 2023. Of the shares White Mountains repurchased in the first three months of 2023, 4,629 were to satisfy employee income tax withholding pursuant to employee benefit plans, which do not reduce the amount available under the Board repurchase authorizations.

During the six months ended June 30, 2022, White Mountains repurchased and retired 90,535 of its common shares for $102 million at an average share price of $1,122, which was approximately 97% of White Mountains’s adjusted book value per share as of June 30, 2022. The average share price was approximately 77% of White Mountains’s adjusted book value per share as of June 30, 2022 including the estimated net gain from the NSM Transaction. Of the shares White Mountains repurchased in the first six months of 2022, 4,011 were to satisfy employee income tax withholding pursuant to employee benefit plans, which do not reduce the board authorizations.

During the six months ended June 30, 2021, White Mountains repurchased and retired 7,161 of its common shares for $7 million, at an average share price of $1,039, which was approximately 80% of White Mountains’s adjusted book value per share as of June 30, 2021. All of the shares White Mountains repurchased in the first six months of 2021 were to satisfy employee income tax withholding pursuant to employee benefit plans.

7371

Cash Flows

Detailed information concerning White Mountains’s cash flows from continuing operations during the six months ended June 30, ~~2022~~2023 and ~~2021~~2022 follows:

Cash flows from operations for the six months ended June 30, ~~2022~~2023 and June 30, ~~2021~~2022

Net cash provided from (used for) operations was $157 million for the six months ended June 30, 2023 compared to $3 million for the six months ended June 30, ~~2022 compared to $(29) million for the six months ended June 30, 2021.~~2022. The increase in cash provided from operations was driven primarily by cash provided from Ark’s operations in 2022 compared to cash used for Ark’s operations in 2021, which included expenses from the Ark Transaction. This increase in cash provided from operations was partially offset by the increase in investments in Kudu Participation Contracts in 2022.2023. As of June 30, ~~2022,~~2023, the Company and its intermediate holding companies had ~~$349~~$546 million of net unrestricted cash, short-term investments and fixed maturity investments, ~~$167~~$236 million of MediaAlpha common stock, $273 million of common equity securities and ~~$224~~$393 million of private equity funds, hedge funds, ILS funds and ~~ILS funds.~~unconsolidated entities.

Cash flows from investing and financing activities for the six months ended June 30, 2023

Financing and Other Capital Activities

During the six months ended June 30, 2023, the Company declared and paid a $3 million cash dividend to its common shareholders.

During the six months ended June 30, 2023, White Mountains repurchased and retired 24,165 of its common shares for $33 million. Of the shares White Mountains repurchased in the first three months of 2023, 4,629 were to satisfy employee income tax withholding pursuant to employee benefit plans.

During the six months ended June 30, 2023, BAM received $27 million in MSC.

During the six months ended June 30, 2023, Kudu borrowed $12 million in term loans under the Kudu Credit Facility.

During the six months ended June 30, 2023, Kudu repaid $17 million in term loans under the Kudu Credit Facility.

Cash flows from investing and financing activities for the six months ended June 30, 2022

Financing and Other Capital Activities

During the six months ended June 30, 2022, the Company declared and paid a $3 million cash dividend to its common shareholders.

During the six months ended June 30, 2022, White Mountains repurchased and retired 90,535 of its common shares for $102 million, 4,011 of which were repurchased and retired to satisfy employee income tax withholding pursuant to employee benefit plans.

During the six months ended June 30, 2022, HG Global received net proceeds of $147 million from the issuance of the HG Global Senior Notes.

During the six months ended June 30, 2022, BAM received $36 million in MSC.

During the six months ended June 30, 2022, Kudu borrowed $35 million in term loans under the Kudu Credit Facility.

Acquisitions and Dispositions

On May 26, 2022, Kudu raised $115 million of equity capital from the Kudu Transaction. Mass Mutual, White Mountains and Kudu management contributed $64 million, $50 million and $1 million in the Kudu Transaction.

~~Cash flows from investing and financing activities for the six months ended June 30, 2021~~

~~Financing and Other Capital Activities~~

~~During the six months ended June 30, 2021, the Company declared and paid a $3 million cash dividend to its common shareholders.~~

During the six months ended June 30, 2021, White Mountains repurchased and retired 7,161 of its common shares for $7 million, all of which were repurchased and retired to satisfy employee income tax withholding pursuant to employee benefit plans.

~~During the six months ended June 30, 2021, BAM received $30 million in MSC.~~

~~During the six months ended June 30, 2021, Kudu borrowed $3 million in term loans under the Kudu Bank Facility.~~

On March 23, 2021, Kudu entered into the Kudu Credit Facility with an initial draw of $102 million, of which $92 million was used to repay the outstanding principal balance on its term loans under the Kudu Bank Facility.

~~Acquisitions and Dispositions~~

On January 1, 2021 White Mountains completed the Ark Transaction, which included contributing $605 million of equity capital to Ark, at a pre-money valuation of $300 million, and purchasing $41 million of shares from certain selling shareholders. In the fourth quarter of 2020, White Mountains prefunded/placed in escrow a total of $646 million in preparation for closing the Ark Transaction.

NON-GAAP FINANCIAL MEASURES

This report includes ~~twelve~~five non-GAAP financial measures that have been reconciled with from their most comparable GAAP financial measures.

Adjusted book value per share

Adjusted book value per share is a non-GAAP financial measure, which is derived by adjusting (i) the GAAP book value per share numerator and (ii) the common shares outstanding denominator, as described below.

The GAAP book value per share numerator is adjusted (i) to include a discount for the time value of money arising from the modeled timing of cash payments of principal and interest on the BAM Surplus Notes and (ii) to add back the unearned premium reserve, net of deferred acquisition costs, at HG Global.

Under GAAP, White Mountains is required to carry the BAM Surplus Notes, including accrued interest, at nominal value with no consideration for time value of money. Based on a debt service model that forecasts operating results for BAM through maturity of the BAM Surplus Notes, the present value of the BAM Surplus Notes, including accrued interest and using an 8% discount rate, was estimated to be ~~$120~~$95 million, ~~$125~~$96 million, ~~$130~~$98 million and ~~$137~~$120 million less than the nominal GAAP carrying values as of June 30, ~~2022,~~2023, March 31, ~~2022,~~2023, December 31, ~~2021~~2022 and June 30, ~~2021,~~2022, respectively.

The value of HG Global’s unearned premium reserve, net of deferred acquisition costs, was ~~$164~~$182 million, ~~$160~~$179 million, ~~$159~~$179 million and ~~$150~~$164 million as of June 30, ~~2022,~~2023, March 31, ~~2022,~~2023, December 31, ~~2021~~2022 and June 30, ~~2021,~~2022, respectively.

White Mountains believes these adjustments are useful to management and investors in analyzing the intrinsic value of HG Global, including the value of the BAM Surplus Notes and the value of the in-force business at HG Re, HG Global’s reinsurance subsidiary.

The denominator used in the calculation of adjusted book value per share equals the number of common shares outstanding, adjusted to exclude unearned restricted common shares, the compensation cost of which, at the date of calculation, has yet to be amortized. Restricted common shares are earned on a straight-line basis over their vesting periods. The reconciliation of GAAP book value per share to adjusted book value per share is included on page ~~50.~~

~~BAM’s gross written premiums and MSC from new business~~

BAM’s gross written premiums and MSC from new business is a non-GAAP financial measure, which is derived by adjusting gross written premiums and MSC collected (i) to include the present value of future installment MSC not yet collected and (ii) to exclude the impact of gross written premium adjustments related to policies closed in prior periods. White Mountains believes these adjustments are useful to management and investors in evaluating the volume and pricing of new business closed during the period. The reconciliation from GAAP gross written premiums to gross written premiums and MSC from new business is included on page 55.

~~Ark’s adjusted loss and LAE, adjusted insurance acquisition expense, adjusted other underwriting expense and adjusted combined ratios~~

Ark’s adjusted loss and LAE ratio, adjusted insurance acquisition expense ratio, adjusted other underwriting expense ratio and adjusted combined ratio are non-GAAP financial measures, which are derived by adjusting the GAAP ratios to add back the impact of whole-account quota-share reinsurance arrangements attributable to TPC Providers for the Syndicates. The impact of these reinsurance arrangements relates to years of account prior to the Ark Transaction. White Mountains believes these adjustments are useful to management and investors in evaluating Ark’s results on a fully aligned basis (i.e., 100% of the Syndicates’ results)48. ~~The reconciliation from the GAAP ratios to the adjusted ratios is included on page 59.~~

Kudu’s EBITDA and ~~Kudu’s~~ adjusted EBITDA

Kudu's EBITDA and adjusted EBITDA are non-GAAP financial measures. EBITDA is a non-GAAP financial measure that excludes interest expense on debt, income tax (expense) benefit, depreciation and amortization of other intangible assets from GAAP net income (loss). Adjusted EBITDA is a non-GAAP financial measure that excludes certain other items in GAAP net income (loss) in addition to those excluded from EBITDA. The adjustments relate to (i) net realized and unrealized investment gains (losses) on Kudu's Participation Contracts, (ii) non-cash equity-based compensation expense and (iii) transaction expenses. A description of each adjustment follows:

•Net realized and unrealized investment gains (losses) - Represents net unrealized investment gains and losses on Kudu’s Participation Contracts, which are recorded at fair value under GAAP, and realized investment gains and losses on Kudu’s Participation Contracts sold during the period.

•Non-cash equity-based compensation expense - Represents non-cash expenses related to Kudu’s management compensation that are settled with equity units in Kudu.

•Transaction expenses - Represents costs directly related to Kudu’s mergers and acquisitions activity, such as external lawyer, banker, consulting and placement agent fees, which are not capitalized and are expensed under GAAP.

White Mountains believes that these non-GAAP financial measures are useful to management and investors in evaluating Kudu’s performance. The reconciliation of Kudu’s GAAP net income (loss) to EBITDA and adjusted EBITDA is included on page ~~64.~~63.

Total consolidated portfolio return excluding MediaAlpha

Total consolidated portfolio return excluding MediaAlpha is a non-GAAP financial measure that removes the net investment income and net realized and unrealized investment gains (losses) from White Mountains’s investment in MediaAlpha. White Mountains believes this measure to be useful to management and investors by showing the underlying performance of White Mountains’s investment portfolio without regard to MediaAlpha.

The following tables present reconciliations from GAAP to the reported percentages for ~~the~~ three and six months ended June 30, ~~2022~~2023 and ~~2021:~~2022:

Three Months Ended June 30, 2022 Three Months Ended June 30, 2021
GAAP Return Remove MediaAlpha Return - Excluding MediaAlpha GAAP Return Remove MediaAlpha Return - Excluding MediaAlpha
Total consolidated portfolio
return (4.7) % 2.6 % (2.1) % 5.0 % (2.6) % 2.4 %


	Three Months Ended June 30, 2023			Three Months Ended June 30, 2022
		GAAP Return		Remove MediaAlpha		Return - Excluding MediaAlpha		GAAP Return		Remove MediaAlpha		Return - Excluding MediaAlpha
Total consolidated portfolio return		0.9	%	2.1	%	3.0	%	(4.7)	%	2.6	%	(2.1)	%

Six Months Ended June 30, 2022 Six Months Ended June 30, 2021
GAAP Return Remove MediaAlpha Return - Excluding MediaAlpha GAAP Return Remove MediaAlpha Return - Excluding MediaAlpha
Total consolidated portfolio
return (4.0) % 2.1 % (1.9) % 4.7 % (1.6) % 3.1 %


	Six Months Ended June 30, 2023			Six Months Ended June 30, 2022
		GAAP Return		Remove MediaAlpha		Return - Excluding MediaAlpha		GAAP Return		Remove MediaAlpha		Return - Excluding MediaAlpha
Total consolidated portfolio return		5.5	%	0.6	%	6.1	%	(4.0)	%	2.1	%	(1.9)	%

~~NSM’s EBITDA and NSM’s~~Total adjusted ~~EBITDA~~

NSM’s EBITDA and adjusted EBITDA are non-GAAP financial measures. EBITDA is a non-GAAP financial measure that excludes interest expense on debt, income tax (expense) benefit, depreciation and amortization of other intangible assets from GAAP net income (loss). Adjusted EBITDA is a non-GAAP financial measure that excludes certain other items in GAAP net income (loss) in addition to those excluded from EBITDA. The adjustments relate to (i) change in fair value of contingent consideration, (ii) non-cash equity-based compensation expense, (iii) impairments of intangible assets, (iv) loss on assets held for sale, (v) transaction expenses, (vi) investments made in the development of new business lines, (vii) restructuring expenses and (viii) legal settlements. A description of each follows:capital

•~~Change in fair value of contingent consideration~~ - Contingent consideration consists of amounts payable to the sellers of businesses purchased by NSM that are contingent on the earnings of such businesses in periods subsequent to their acquisition. Under GAAP, contingent consideration amounts are initially recorded as liabilities at fair value as part of purchase accounting, with the periodic change in the fair value of these liabilities recorded as income or an expense.

•~~Non-cash equity-based compensation expense~~ ~~- Represents non-cash expenses related to NSM’s management compensation emanating from the grants of equity units.~~

•~~Impairments of intangible assets~~ - Represents expense related to NSM’s write-off of intangible assets. For the periods presented, the impairments related primarily to NSM’s write-off of intangible assets in its U.K. vertical. The impairments related to lower premium volumes, including due to the impact of the COVID-19 pandemic, and certain reorganization initiatives in the U.K. vertical.

•~~Loss on assets held for sale~~ ~~- Represents the loss on net assets held for sale related to the Fresh Insurance motor business.~~

•~~Transaction expenses~~ - Represents costs directly related to NSM’s mergers and acquisitions activity, such as transaction-related compensation, banking, accounting and external lawyer fees, which are not capitalized and are expensed under GAAP.

•~~Investments made in the development of new business lines~~ ~~- Represents the net loss related to the start-up of newly established lines of business, which NSM views as investments.~~

•~~Restructuring expenses~~ - Represents expenses associated with eliminating redundant work force and facilities that often arise as a result of NSM’s post-acquisition integration strategies. For the periods presented, this adjustment relates primarily to NSM’s expenses incurred in certain reorganization initiatives in the U.K. vertical.

•~~Legal settlements~~ -~~Represents amounts recognized from legal settlements.~~

White Mountains believes that these non-GAAP financial measures are useful to management and investors in evaluating NSM’s performance. See page 69 for the reconciliation of NSM’s GAAP net income (loss) to EBITDA and adjusted EBITDA.

~~Adjusted capital~~

Total capital at White Mountains is comprised of White Mountains’s common shareholders’ equity, debt and ~~non-controlling~~noncontrolling interests other than ~~non-controlling~~noncontrolling interests attributable to BAM. Total adjusted capital is a non-GAAP financial measure, which is derived by adjusting total capital (i) to include a discount for the time value of money arising from the expected timing of cash payments of principal and interest on the BAM Surplus Notes and (ii) to add back the unearned premium reserve, net of deferred acquisition costs, at HG Global. The reconciliation of total capital to total adjusted capital is included on page ~~73.~~71.

CRITICAL ACCOUNTING ESTIMATES

Refer to the Company’s ~~2021~~2022 Annual Report on Form 10-K for a complete discussion regarding White Mountains’s critical accounting estimates.

FORWARD-LOOKING STATEMENTS

This report may contain “forward-looking statements” within the meaning of Section 27A of the Securities Act of 1933 and Section 21E of the Securities Exchange Act of 1934. All statements, other than statements of historical facts, included or referenced in this report which address activities, events or developments which White Mountains expects or anticipates will or may occur in the future are forward-looking statements. The words “could”, “will”, “believe”, “intend”, “expect”, “anticipate”, “project”, “estimate”, “predict” and similar expressions are also intended to identify forward-looking statements. These forward-looking statements include, among others, statements with respect to White Mountains’s:

•change in book value per share, adjusted book value per share or return on equity;

•business strategy;

•financial and operating targets or plans;

•incurred loss and LAE and the adequacy of its loss and LAE reserves and related reinsurance;

•projections of revenues, income (or loss), earnings (or loss) per share, EBITDA, adjusted EBITDA, dividends, market share or other financial forecasts of White Mountains or its businesses;

•expansion and growth of its business and operations; and

•future capital expenditures.

These statements are based on certain assumptions and analyses made by White Mountains in light of its experience and perception of historical trends, current conditions and expected future developments, as well as other factors believed to be appropriate in the circumstances. However, whether actual results and developments will conform to its expectations and predictions is subject to risks and uncertainties that could cause actual results to differ materially from expectations, including:

•the risks that are described from time to time in White Mountains’s filings with the Securities and Exchange Commission, including but not limited to White Mountains’s Annual Report on Form 10-K for the fiscal year ended December 31, ~~2021;~~2022;

•claims arising from catastrophic events, such as hurricanes, windstorms, earthquakes, floods, ~~fires,~~wildfires, tornadoes, tsunamis, severe winter weather, public health crises, terrorist attacks, war and war-like actions, explosions, infrastructure failures ~~cyber-attacks~~ or ~~armed conflicts;~~cyber attacks;

•recorded loss reserves subsequently proving to have been inadequate;

•the market value of White Mountains’s investment in MediaAlpha;

•the trends and uncertainties from the COVID-19 pandemic, including judicial interpretations on the extent of insurance coverage provided by insurers for COVID-19 pandemic related claims;

•business opportunities (or lack thereof) that may be presented to it and pursued;

•actions taken by rating agencies, such as financial strength or credit ratings downgrades or placing ratings on negative watch;

•the continued availability of capital and financing;

•deterioration of general economic, market or business conditions, including due to outbreaks of contagious disease (including the COVID-19 pandemic) and corresponding mitigation efforts;

•competitive forces, including the conduct of other insurers;

•changes in domestic or foreign laws or regulations, or their interpretation, applicable to White Mountains, its competitors or its customers; and

•other factors, most of which are beyond White Mountains’s control.

Consequently, all of the forward-looking statements made in this report are qualified by these cautionary statements, and there can be no assurance that the actual results or developments anticipated by White Mountains will be realized or, even if substantially realized, that they will have the expected consequences to, or effects on, White Mountains or its business or operations. White Mountains assumes no obligation to publicly update any such forward-looking statements, whether as a result of new information, future events or otherwise.

Item 3.Quantitative and Qualitative Disclosures About Market Risk.

Refer to White Mountains’s ~~2021~~2022 Annual Report on Form 10-K and in particular Item 7A. - “Quantitative and Qualitative Disclosures About Market Risk.”

Item 4.Controls and Procedures.

The Principal Executive Officer (“PEO”) and the Principal Financial Officer (“PFO”) of White Mountains have evaluated the effectiveness of its disclosure controls and procedures (as defined in Rule 13a-15(e) ~~and 15d-15(e)~~ of the Exchange Act) as of ~~the end of the period covered by this report.~~June 30, 2023. Based on that evaluation, the PEO and PFO have concluded that White Mountains’s disclosure controls and procedures are adequate and effective.

There were no ~~significant~~ changes ~~with respect~~ to ~~the Company’s~~White Mountains’s internal control over financial reporting ~~or in other factors~~ that occurred during the second quarter of 2023 that have materially affected, or are reasonably likely to materially affect White Mountains’s internal control over financial ~~reporting during the quarter ended June 30, 2022.~~reporting.

Part II.OTHER INFORMATION

Item 1.Legal Proceedings.

None.

Item 1A. Risk Factors.

There have been no material changes to any of the risk factors previously disclosed in the Registrant’s ~~2021~~2022 Annual Report

on Form 10-K.

Item 2.Issuer Purchases of Equity Securities.

Months Total Number of
Shares Purchased Average Price
Paid per Share
Total Number of Shares
Purchased as Part of
Publicly Announced Plans (1)
Maximum Number
of Shares that May
Yet Be Purchased
Under the Plans (1)
April 1- April 30, 2022 6,999 $ 1,047.23 6,999 410,801
May 1 - May 31, 2022 9,492 $ 1,072.39 9,492 401,309
June 1 - June 30, 2022 36,609 $ 1,233.23 36,609 364,700
Total 53,100 $ 1,179.96 53,100 364,700


Months	Total Number of Shares Purchased	Average Price Paid per Share		Total Number of Shares Purchased as Part of Publicly Announced Plans (1)	Maximum Number of Shares that May Yet Be Purchased Under the Plans (1)
April 1 - April 30, 2023	994	$	1,349.61	994	305,562
May 1 - May 31, 2023	4,548	$	1,333.85	4,548	301,014
June 1 - June 30, 2023	—	$	—	—	301,014
Total	5,542	$	1,336.68	5,542	301,014

(1) White Mountains’s ~~board~~Board of ~~directors~~Directors has authorized the Company to repurchase its common shares, from time to time, subject to market conditions. The repurchase authorizations do not have a stated expiration date.

Item 3. Defaults Upon Senior Securities.

None.

Item 4.Mine Safety Disclosures.

None.

Item 5.Other Information.

None.

7975

Item 6.Exhibits.


(a)	Exhibit number		Name
	2.1	—	Plan of Reorganization (incorporated by reference herein to the Company’s Registration Statement on S-4 (No. 333-87649) dated September 23, 1999)
	~~2.2~~	—	Securities Purchase Agreement dated May 9, 2022 by and among Riser Merger Sub, Inc., White Mountains Catskill Holdings (Luxembourg) S.à r. l., NSM Insurance HoldCo, LLC and the other parties thereto (incorporated by reference herein to Exhibit 2.1 of the Company’s Current Report on Form 8-K dated May 9, 2022) **
	3.1	—	Memorandum of Continuance of the Company (incorporated by reference herein to Exhibit (3)(i) of the Company’s Current Report on Form 8-K dated November 1, 1999)
	3.2	—	Amended and Restated Bye-Laws of the Company (incorporated by reference herein to Exhibit 3 of the Company’s Report on Form 10-Q dated May 2, 2017)
	10.1	—	Third Amended and Restated Surplus Note Purchase Agreement between Build America Mutual Assurance Company, as Issuer and HG Holdings Ltd. and HG Re Ltd. as Purchasers, dated January 15, 2020. (*)
	10.2	—	Third Amended and Restated Supplemental Trust Agreement by and among Build America Mutual Assurance Company, HG Re Ltd. and The Bank of New York Mellon, dated January 15, 2020. (*)
	10.3	—	First Amendment to Loan and Servicing Agreement dated as of June 28, 2023 among Kudu Investment Management, LLC, Kudu Investment Holdings, LLC, Kudu Investments US, LLC, KFO Holdings, Ltd., KWCP Holdings UK, Ltd., Massachusetts Mutual Life Insurance Company and Alter Domus. () (*)
	31.1	—	Principal Executive Officer Certification Pursuant to Rule 13a-14 (a) of the Securities Exchange Act of 1934, as Amended. (*)
	31.2	—	Principal Financial Officer Certification Pursuant to Rule 13a-14 (a) of the Securities Exchange Act of 1934, as Amended. (*)
	32.1	—	Principal Executive Officer Certification Pursuant to 18 U.S.C. Section 1350, as Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002. (*)
	32.2	—	Principal Financial Officer Certification Pursuant to 18 U.S.C. Section 1350, as Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002. (*)
	101	—	XBRL Instance Document - the instance document does not appear in the Interactive Data File because its XBRL tags are embedded within the Inline XBRL document.


(*)			Included herein
(**)			Portions of this exhibit are redacted pursuant to Item 601(b)(10)(iv) of Regulation S-K.

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the Registrant has duly caused this report to be signed on its behalf by the undersigned thereunto duly authorized.

WHITE MOUNTAINS INSURANCE GROUP, LTD.

(Registrant)

Date:

August ~~8, 2022~~7, 2023

By: /s/ Michaela J. Hildreth

Michaela J. Hildreth

Managing Director and Chief Accounting Officer

8076


Millions	As of January 1, 2021
Investments	$	594.3
Cash	52.0		(1)
Reinsurance recoverables	433.4
Insurance premiums receivable	236.7
Ceded unearned premiums	170.2
Value of in-force business acquired	71.7
Other assets	88.9
Loss and loss adjustment expense reserves	(696.0)
Unearned insurance premiums	(326.1)
Debt	(46.4)

Ceded reinsurance payable	(528.3)
Other liabilities	(25.9)
Net tangible assets acquired	24.5
Goodwill	116.8
Other intangible assets - syndicate underwriting capacity	175.7
Deferred tax liability on other intangible assets	(33.4)
Net assets acquired	$	283.6


Millions	June 30, 2022
July 1, 2022 - December 31, 2022	$	13.0
January 1, 2023 - March 31, 2023	6.4
April 1, 2023 - June 30, 2023	6.3
July 1, 2023 - September 30, 2023	6.2
October 1, 2023 - December 31, 2023	6.1
Total 2023	25.0
2024	23.5
2025	21.8
2026	20.3
2027	18.9
2028 and thereafter	151.5
Total gross unearned insurance premiums	$	274.0


Millions	As of June 30, 2022
Remainder of 2022	$	3.4
2023	8.2
2024	7.2
2025	4.9
2026	2.6
Thereafter	5.0
Total undiscounted lease payments	31.3
Less: present value adjustment	3.1
Operating lease liability	$	28.2


	As of June 30, 2022
Millions	HG/BAM		Ark		Kudu		Other Operations		Total		Weighted Average Incremental Borrowing Rate (1)
ROU lease asset	$	6.7	$	7.3	$	6.1	$	6.1	$	26.2	4.1%
Lease liability	$	7.2	$	7.3	$	6.9	$	6.8	$	28.2


	As of December 31, 2021
Millions	HG/BAM		Ark		Kudu		Other Operations		Total		Weighted Average Incremental Borrowing Rate (1)
ROU lease asset	$	7.6	$	7.0	$	6.4	$	7.1	$	28.1	4.0%
Lease liability	$	8.1	$	7.0	$	7.1	$	7.8	$	30.0


	Six Months Ended June 30, 2021
Millions	HG Global		BAM		Eliminations		Total
Direct written premiums	$	—	$	21.8	$	—	$	21.8
Assumed written premiums	22.5		4.5		(22.5)		4.5
Gross written premiums	22.5		26.3		(22.5)		26.3
Ceded written premiums	—		(22.5)		22.5		—
Net written premiums	$	22.5	$	3.8	$	—	$	26.3

Earned insurance premiums	$	10.6	$	2.3	$	—	$	12.9
Net investment income	3.5		5.3		—		8.8
Net investment income - BAM Surplus Notes	6.0		—		(6.0)		—
Net realized and unrealized investment losses	(7.5)		(4.1)		—		(11.6)
Other revenues	.2		.4		—		.6
Total revenues	12.8		3.9		(6.0)		10.7
Insurance acquisition expenses	2.8		.7		—		3.5

General and administrative expenses	1.1		29.2		—		30.3
Interest expense - BAM Surplus Notes	—		6.0		(6.0)		—
Total expenses	3.9		35.9		(6.0)		33.8
Pre-tax income (loss)	$	8.9	$	(32.0)	$	—	$	(23.1)
Supplemental information:
MSC collected (1)	$	—	30.1		$	—	$	30.1


	For the Six Months Ended
Millions	June 30, 2022		June 30, 2021
Property	$	419.1	$	280.3
Specialty	283.7		178.5
Marine & Energy	235.2		190.2
Casualty	50.8		30.8
Accident & Health	48.3		52.8
Total Gross Written Premium	$	1,037.1	$	732.6