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Optimal Pension Insurance Design

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Author Info
Døskeland, Trond M. () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)
Nordahl, Helge A. () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)

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Abstract

In this paper we analyze how the traditional life and pension contracts with a guaranteed rate of return can be optimized to increase customers’ welfare. Given that the contracts have to be priced correctly, we use individuals’ preferences to find the preferred design. Assuming CRRA utility, we cannot explain the existence of any form of guarantees. Through numerical solutions we quantify the difference (measured in certainty equivalents) to the preferred Merton solution of direct investments in a fixed proportion of risky and risk free assets. The largest welfare loss seems to come from the fact that guarantees are effective by the end of each year, not only by the expiry of the contract. However, the demand for products with guarantees may be explained through behavioral models. We use cumulative prospect theory as an example, showing that the optimal design is a simple contract with a life-time guarantee and no default option.

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Publisher Info
Paper provided by Department of Finance and Management Science, Norwegian School of Economics and Business Administration in its series Discussion Papers with number 2006/14.

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Length: 22 pages
Date of creation: 18 Oct 2006
Date of revision: 21 Jun 2007
Handle: RePEc:hhs:nhhfms:2006_014

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Postal: NHH, Department of Finance and Management Science, Helleveien 30, N-5045 Bergen, Norway
Phone: +47 55 95 92 93
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Web page: http://www.nhh.no/for/
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Related research
Keywords: Household Finance; Portfolio Choice; Life and Pension Insurance; Prospect Theory;

Other versions of this item:

Find related papers by JEL classification:
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Francisco J. Gomes, 2005. "Portfolio Choice and Trading Volume with Loss-Averse Investors," Journal of Business, University of Chicago Press, vol. 78(2), pages 675-706, March. [Downloadable!]
  2. John Y. Campbell, 2006. "Household Finance," Journal of Finance, American Finance Association, vol. 61(4), pages 1553-1604, 08. [Downloadable!] (restricted)
    Other versions:
  3. Grosen, Anders & Lochte Jorgensen, Peter, 2000. "Fair valuation of life insurance liabilities: The impact of interest rate guarantees, surrender options, and bonus policies," Insurance: Mathematics and Economics, Elsevier, vol. 26(1), pages 37-57, February. [Downloadable!] (restricted)
  4. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
    Other versions:
  6. Consiglio, Andrea & Saunders, David & Zenios, Stavros A., 2006. "Asset and liability management for insurance products with minimum guarantees: The UK case," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 645-667, February. [Downloadable!] (restricted)
  7. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
  8. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
  9. Bjarne Astrup Jensen & Carsten Sørensen, 2001. "Paying for Minimum Interest Rate Guarantees: Who Should Compensate Who?," European Financial Management, Blackwell Publishing Ltd, vol. 7(2), pages 183-211. [Downloadable!] (restricted)
  10. Arjan B. Berkelaar & Roy Kouwenberg & Thierry Post, 2004. "Optimal Portfolio Choice under Loss Aversion," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 973-987, 02. [Downloadable!] (restricted)
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  11. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June. [Downloadable!] (restricted)
  12. Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-96, March.
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  1. Døskeland, Trond M. & Nordahl, Helge A., 2006. "Intergenerational Effects of Guaranteed Pension Contracts," Discussion Papers 2006/13, Department of Finance and Management Science, Norwegian School of Economics and Business Administration, revised 21 Jun 2007. [Downloadable!]
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