The following table summarizes the change in deferred acquisition costs, deferred sales inducements and value of business acquired:
| | | | | | (In millions) | VOBA | Balance as of January 1, 2022 | $ | 4,527 | | Change in discount rate assumptions for future policy benefits | (22) | | Fair value adjustment of market risk benefits | (1,133) | | Adjusted balance as of January 1, 2022 | $ | 3,372 | |
The following represents a rollforward of DAC and DSI by product, and a rollforward of VOBA. See Note 9 – Long-duration Contracts for more information on our products.
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Six months ended June 30, 2023 | | DAC | | DSI | | VOBA | | Total DAC, DSI and VOBA | (In millions) | Traditional deferred annuities | | Indexed annuities | | Funding agreements | | Other investment-type | | Indexed annuities | | | Balance at December 31, 2022 | $ | 304 | | | $ | 755 | | | $ | 11 | | | $ | 9 | | | $ | 399 | | | $ | 2,988 | | | $ | 4,466 | | Additions | 298 | | | 405 | | | 1 | | | 2 | | | 285 | | | — | | | 991 | | Amortization | (42) | | | (41) | | | (2) | | | — | | | (23) | | | (183) | | | (291) | | | | | | | | | | | | | | | | Balance at June 30, 2023 | $ | 560 | | | $ | 1,119 | | | $ | 10 | | | $ | 11 | | | $ | 661 | | | $ | 2,805 | | | $ | 5,166 | |
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Six months ended June 30, 2022 | | DAC | | DSI | | VOBA | | Total DAC, DSI and VOBA | (In millions) | Traditional deferred annuities | | Indexed annuities | | Funding agreements | | Other investment-type | | Indexed annuities | | | Balance at January 1, 2022 | $ | — | | | $ | — | | | $ | — | | | $ | — | | | $ | — | | | $ | 3,372 | | | $ | 3,372 | | Additions | 58 | | | 358 | | | 13 | | | 5 | | | 160 | | | — | | | 594 | | Amortization | (1) | | | (8) | | | (1) | | | — | | | (1) | | | (195) | | | (206) | | Balance at June 30, 2022 | $ | 57 | | | $ | 350 | | | $ | 12 | | | $ | 5 | | | $ | 159 | | | $ | 3,177 | | | $ | 3,760 | |
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