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• W3202078594 abstract "Refundable income annuities (IA), such as cash-refund and instalment-refund, differ in material ways from the life-only version beloved by economists. In addition to lifetime income they guarantee the annuitant or beneficiary will receive their money back albeit slowly over time. Although we document that refundable IAs now represent the majority of sales in the U.S., they are mostly ignored by insurance and pension economists. Indeed, their pricing, duration, and money's-worth-ratio is complicated by recursivity which will be explained, and we offer a path forward to make refundable IAs tractable. A key result concerns the market price of cash-refund IAs, when the actuarial present value is grossed-up by an insurance loading. We prove that price is counterintuitively no longer a declining function of age and older buyers might pay more than younger ones. Moreover, there exists a threshold valuation rate below which no price is viable. This may also explain why inflation-adjusted IAs have all but disappeared." @default.
• W3202078594 created "2021-10-11" @default.
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• W3202078594 date "2022-07-01" @default.
• W3202078594 modified "2023-10-08" @default.
• W3202078594 title "Refundable income annuities: Feasibility of money-back guarantees" @default.
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• W3202078594 doi "https://doi.org/10.1016/j.insmatheco.2022.03.004" @default.
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