Summary of disaggregated MRB amounts in an asset and liability position (Table)


	June 30, 2024						December 31, 2023
					Net asset						Net asset
	Asset		Liability		(liability)		Asset		Liability		(liability)

	(in millions)
Retirement and Income Solutions:
Individual variable annuities	$	212.3	$	69.3	$	143.0	$	153.4	$	111.9	$	41.5
Total MRB per consolidated statements of financial position	$	212.3	$	69.3	$	143.0	$	153.4	$	111.9	$	41.5


	December 31, 2023						December 31, 2022
					Net asset						Net asset
	Asset		Liability		(liability)		Asset		Liability		(liability)

	(in millions)
Retirement and Income Solutions:
Individual variable annuities	$	153.4	$	111.9	$	41.5	$	109.2	$	181.4	$	(72.2)
Total MRB per consolidated statements of financial position	$	153.4	$	111.9	$	41.5	$	109.2	$	181.4	$	(72.2)

Summary of quantitative information about the significant unobservable inputs used for fair value measurements of MRBs (Table)


	June 30, 2024				December 31, 2023
			Weighted-				Weighted-
	Range of inputs		Average		Range of inputs		Average
Retirement and Income Solutions:
Individual variable annuities
Long-term interest rate ⁽¹⁾	4.51 - 4.60	%	4.55	%	4.00 - 4.20	%	4.10	%
Long-term equity market volatility	18.30 - 32.80	%	21.50	%	18.00 - 33.00	%	22.00	%
Nonperformance risk	0.57 - 1.29	%	1.10	%	0.80 - 1.60	%	1.30	%
Lapse rate	1.10 - 55.00	%	6.16	%	1.10 - 55.00	%	5.90	%

(1)	Represents the range of rate curves used in the valuation analysis that we have determined market participants would use when pricing the instrument. The rate curves are derived from an interpolation between various observable swap rates.


	December 31, 2023				December 31, 2022
			Weighted-				Weighted-
	Range of inputs		Average		Range of inputs		Average
Retirement and Income Solutions:
Individual variable annuities
Long-term interest rate ⁽¹⁾	4.00 - 4.20	%	4.10	%	3.97 - 4.12	%	4.04	%
Long-term equity market volatility	18.00 - 33.00	%	22.00	%	18.10 - 34.15	%	22.07	%
Nonperformance risk	0.80 - 1.60	%	1.30	%	0.90 - 1.96	%	1.65	%
Lapse rate	1.10 - 55.00	%	5.90	%	1.25 - 24.75	%	5.76	%

(1)	Represents the range of rate curves used in the valuation analysis that we have determined market participants would use when pricing the instrument. The rate curves are derived from an interpolation between various observable swap rates.

Market Risk Benefits

Summary of net asset (liability) balances and the changes in the valuation of the MRBs (Table)


	For the six months ended		For the year ended
	June 30, 2024		December 31, 2023

	($ in millions)
Balance at beginning of period	$	41.5	$	(72.2)
Effect of changes in nonperformance risk at beginning of period		7.7		(31.7)
Adjusted balance at beginning of period		49.2		(103.9)
Effect of:
Interest accrual and expected policyholder behavior		(39.3)		(80.9)
Benefit payments		0.5		0.4
Changes in interest rates		68.9		39.9
Changes in equity markets		66.2		155.1
Changes in equity index volatility		19.3		47.9
Actual policyholder behavior different from expected behavior		(3.5)		(4.0)
Changes in other future expected assumptions		—		(5.3)
Adjusted balance at end of period		161.3		49.2
Effect of changes in nonperformance risk at end of period		(18.3)		(7.7)
Balance at end of period	$	143.0	$	41.5

Weighted-average attained age of policyholders (years) ⁽¹⁾		67.6		67.7
Net amount at risk ⁽²⁾	$	50.0	$	111.2

(1)	The weighted-average attained age is calculated at the contract level using the total contributions since inception and the age of the contractholders.

(2)

The net amount at risk for our GMDB riders is defined as the current GMDB amount in excess of the current account balance. The net amount at risk for our GMWB riders is defined as the greater of the present value of the GMWB payments less the current account balance or zero. For contracts with both GMDB and GMWB riders, the net amount at risk is the greater of the

GMDB or GMWB net amount at risk. A decrease in the net amount at risk in 2024 as a result of increases in the equity markets was partially offset by an increase in the net amount at risk as a result of increases in interest rates.


	For the year ended		For the year ended
	December 31, 2023		December 31, 2022

	($ in millions)
Balance at beginning of period	$	(72.2)	$	(494.7)
Effect of changes in nonperformance risk at beginning of period		(31.7)		109.5
Adjusted balance at beginning of period		(103.9)		(385.2)
Effect of:
Interest accrual and expected policyholder behavior		(80.9)		(90.1)
Benefit payments		0.4		1.3
Changes in interest rates		39.9		539.1
Changes in equity markets		155.1		(112.4)
Changes in equity index volatility		47.9		(50.2)
Actual policyholder behavior different from expected behavior		(4.0)		1.5
Changes in future expected policyholder behavior		—		(6.1)
Changes in other future expected assumptions		(5.3)		(1.8)
Adjusted balance at end of period		49.2		(103.9)
Effect of changes in nonperformance risk at end of period		(7.7)		31.7
Balance at end of period	$	41.5	$	(72.2)

Weighted-average attained age of policyholders (years) ⁽¹⁾		67.7		67.4
Net amount at risk ⁽²⁾	$	111.2	$	415.5

(1)	The weighted-average attained age is calculated at the contract level using the total contributions since inception and the age of the contractholders.

(2)

The net amount at risk for our GMDB riders is defined as the current GMDB amount in excess of the current account balance. The net amount at risk for our GMWB riders is defined as the greater of the present value of the GMWB payments less the current account balance or zero. For contracts with both GMDB and GMWB riders, the net amount at risk is the greater of the GMDB or GMWB net amount at risk. A decrease in the net amount at risk in 2023 as a result of increases in the equity markets was partially offset by an increase in the net amount at risk as a result of increases in interest rates. Decreases in the equity markets and increases in interest rates resulted in an increase in the net amount at risk in 2022.