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A gap between rational annuitization price for producer and price for customer

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  • Nikolai Dokuchaev

    (School of Electrical Engineering, Computing and Mathematical Sciences)

Abstract

This paper studies pricing of insurance products focusing on the pricing of annuities under uncertainty. This pricing problem is crucial for financial decision making and was studied intensively; however, many open questions still remain. In particular, there is the “annuity puzzle” related to certain inconsistency of the existing financial theory with the empirical observations for the annuities market. This paper suggests a pricing method based on the risk minimization such that both producer and customer seek to minimize the mean square hedging error accepted as a measure of risk. This leads to two different versions of the pricing problem: the selection of the annuity price given the rate of regular payments, and the selection of the rate of payments given the annuity price. It appears that solutions of these two problems are different. This can contribute to explanation for the “annuity puzzle.”

Suggested Citation

  • Nikolai Dokuchaev, 2019. "A gap between rational annuitization price for producer and price for customer," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 18(2), pages 147-154, April.
  • Handle: RePEc:pal:jorapm:v:18:y:2019:i:2:d:10.1057_s41272-018-00163-5
    DOI: 10.1057/s41272-018-00163-5
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    References listed on IDEAS

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    1. Johann K. Brunner & Susanne Pech, 2006. "Adverse selection in the annuity market with sequential and simultaneous insurance demand," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 31(2), pages 111-146, December.
    2. Nikolai Dokuchaev, 2018. "On the implied market price of risk under the stochastic numéraire," Annals of Finance, Springer, vol. 14(2), pages 223-251, May.
    3. Jeffrey R. Brown & Jeffrey R. Kling & Sendhil Mullainathan & Marian V. Wrobel, 2008. "Why Don’t People Insure Late-Life Consumption? A Framing Explanation of the Under-Annuitization Puzzle," American Economic Review, American Economic Association, vol. 98(2), pages 304-309, May.
    4. Olivia S. Mitchell, 1999. "New Evidence on the Money's Worth of Individual Annuities," American Economic Review, American Economic Association, vol. 89(5), pages 1299-1318, December.
    5. Lin-Yee Hin & Nikolai Dokuchaev, 2016. "Short Rate Forecasting Based On The Inference From The Cir Model For Multiple Yield Curve Dynamics," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 1-33, March.
    6. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
    7. Pang, Gaobo & Warshawsky, Mark, 2010. "Optimizing the equity-bond-annuity portfolio in retirement: The impact of uncertain health expenses," Insurance: Mathematics and Economics, Elsevier, vol. 46(1), pages 198-209, February.
    8. Milevsky, Moshe Arye, 1997. "The present value of a stochastic perpetuity and the Gamma distribution," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 243-250, October.
    9. Amy Finkelstein & James Poterba, 2004. "Adverse Selection in Insurance Markets: Policyholder Evidence from the U.K. Annuity Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 183-208, February.
    10. Shlomo Benartzi & Alessandro Previtero & Richard H. Thaler, 2011. "Annuitization Puzzles," Journal of Economic Perspectives, American Economic Association, vol. 25(4), pages 143-164, Fall.
    11. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    12. Monika Bütler & Federica Teppa, 2007. "The Choice between an Annuity and a Lump Sum: Results from Swiss Pension Funds," NBER Chapters, in: Public Policy and Retirement, Trans-Atlantic Public Economics Seminar (TAPES), pages 1944-1966, National Bureau of Economic Research, Inc.
    13. John Ameriks & Andrew Caplin & Steven Laufer & Stijn Van Nieuwerburgh, 2011. "The Joy of Giving or Assisted Living? Using Strategic Surveys to Separate Public Care Aversion from Bequest Motives," Journal of Finance, American Finance Association, vol. 66(2), pages 519-561, April.
    14. Jin Young Chung, 2017. "Price fairness and PWYW (pay what you want): a behavioral economics perspective," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 16(1), pages 40-55, February.
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    More about this item

    Keywords

    Annuities pricing; Risk minimization; Price disagreement; Annuity puzzle;
    All these keywords.

    JEL classification:

    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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