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Life Insurance and Pension Contracts I: The Time Additive Life Cycle Model

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Author Info

  • Aase, Knut K.

    ()
    (Dept. of Business and Management Science, Norwegian School of Economics)

Abstract

We analyze optimal consumption in the life cycle model by introducing life and pension insurance contracts. The model contains a credit market with biometric risk, and market risk via risky securities. This idealized framework enables us to clarify important aspects life insurance and pension contracts. We find optimal pension plans and life insurance contracts where the benefits are state dependent. We compare these solutions both to the ones of standard actuarial theory, and to policies offered in practice. Implications of this include what role the insurance industry may play to improve welfare. The relationship between substitution of consumption and risk aversion is highlighted in the presence of a consumption puzzle. One problem related portfolio choice is discussed - the horizon problem. Finally, we present some comments on longevity risk and cohort risk.

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Bibliographic Info

Paper provided by Department of Business and Management Science, Norwegian School of Economics in its series Discussion Papers with number 2014/13.

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Length: 51 pages
Date of creation: 25 Mar 2014
Date of revision:
Handle: RePEc:hhs:nhhfms:2014_013

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Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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Related research

Keywords: The life cycle model; pension insurance; optimal life insurance; longevity risk; the horizon problem; consumption puzzle;

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  1. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  2. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  3. Bernheim, B Douglas & Shleifer, Andrei & Summers, Lawrence H, 1986. "The Strategic Bequest Motive," Journal of Labor Economics, University of Chicago Press, vol. 4(3), pages S151-82, July.
  4. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Philippe Weil, 1989. "The Equity Premium Puzzle and the Riskfree Rate Puzzle," NBER Working Papers 2829, National Bureau of Economic Research, Inc.
  6. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
  7. Delong J. Bradford, 2008. "Stocks for the Long Run," The Economists' Voice, De Gruyter, vol. 5(7), pages 1-2, November.
  8. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
  9. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
  10. Kimball, Miles S & Sahm, Claudia R & Shapiro, Matthew D, 2008. "Imputing Risk Tolerance From Survey Responses," Journal of the American Statistical Association, American Statistical Association, vol. 103(483), pages 1028-1038.
  11. Mossin, Jan, 1969. "A Note on Uncertainty and Preferences in a Temporal Context," American Economic Review, American Economic Association, vol. 59(1), pages 172-74, March.
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Cited by:
  1. Aase, Knut K., 2014. "The Life Cycle Model with Recursive Utility: New insights on pension and life insurance contracts," Discussion Papers 2014/19, Department of Business and Management Science, Norwegian School of Economics.

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