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Life Insurance And Pension Contracts Ii: The Life Cycle Model With Recursive Utility

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  • Aase, Knut K.

Abstract

We analyze optimal consumption and pension insurance during the life time of a consumer using the life cycle model, when the consumer has recursive utility. The relationship between substitution of consumption and risk aversion is highlighted, and clarified by the introduction of this type of preferences. We illustrate how recursive utility can be used to explain the empirical consumption puzzle for aggregates. This indicates a plausible choice for the parameters of the utility function, relevant for the consumer in the life cycle model. Optimal life insurance is considered, as well as the portfolio choice problem related to optimal exposures in risky securities. A major finding is that it is optimal for the typical insurance buyer to smooth adverse shocks to the financial market, unlike what is implied by the conventional model. This has implications for what type of contracts the life and pension insurance industry should offer.

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  • Aase, Knut K., 2016. "Life Insurance And Pension Contracts Ii: The Life Cycle Model With Recursive Utility," ASTIN Bulletin, Cambridge University Press, vol. 46(1), pages 71-102, January.
    • Handle: RePEc:cup:astinb:v:46:y:2016:i:01:p:71-102_00
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    Cited by:

    1. Knut K. Aase & Petter Bjerksund, 2021. "The Optimal Spending Rate versus the Expected Real Return of a Sovereign Wealth Fund," JRFM, MDPI, vol. 14(9), pages 1-36, September.
    2. Andreas Reuß & Jochen Ruß & Jochen Wieland, 2016. "Participating Life Insurance Products with Alternative Guarantees: Reconciling Policyholders’ and Insurers’ Interests," Risks, MDPI, vol. 4(2), pages 1-18, May.
    3. Aase, Knut K. & Bjerksund, Petter, 2019. "The optimal extraction rate versus the expected real return of a sovereign wealth fund: Some simulations," Discussion Papers 2019/7, Norwegian School of Economics, Department of Business and Management Science, revised 03 Feb 2021.
    4. Aase, Knut K., 2020. "Elements of economics of uncertainty and time with recursive utility," Discussion Papers 2020/13, Norwegian School of Economics, Department of Business and Management Science.

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