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

  • Aase, Knut K.

    ()

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

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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File URL: http://hdl.handle.net/11250/194980
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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
Contact details of provider: Postal: NHH, Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway
Phone: +47 55 95 92 93
Fax: +47 55 95 96 50
Web page: http://www.nhh.no/en/research-faculty/department-of-business-and-management-science.aspx
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  1. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  2. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November.
  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. Aase, Knut K., 2009. "The investment horizon problem: A resolution," Discussion Papers 2009/7, Department of Business and Management Science, Norwegian School of Economics.
  5. 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.
  6. Miles S. Kimball & Claudia R. Sahm & Matthew D. Shapiro, 2007. "Imputing Risk Tolerance from Survey Responses," NBER Working Papers 13337, National Bureau of Economic Research, Inc.
  7. 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.
  8. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  9. Delong J. Bradford, 2008. "Stocks for the Long Run," The Economists' Voice, De Gruyter, vol. 5(7), pages 1-2, November.
  10. 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.
  11. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  12. 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.
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