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Valuation of a multistate life insurance contract with random benefits

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  • Persson, Svein-Arne

Abstract

We present a model where the value of the life insurance benefit is random. The policy is at each point in time assumed to be in one of a finite number of states and the evolution of the policy through time is modelled by a time-continuous, non-homogeneous Markov chain. The insurance period of a life insurance contract is long compared to the contract period of a typical financial contingent claim. The value of the insurance benefit is assumed to follow a geometric Gaussian process which has certain appealing properties when dealing with such long contract periods. We use the martingale arbitrage pricing theory to derive the market value of a quite general life insurance policy and deduce the corresponding Thiele's differential equation.

Suggested Citation

  • Persson, Svein-Arne, 1993. "Valuation of a multistate life insurance contract with random benefits," Scandinavian Journal of Management, Elsevier, vol. 9(Supplemen), pages 73-86.
  • Handle: RePEc:eee:scaman:v:9:y:1993:i:supplement1:p:s73-s86
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    1. Noorderhaven, N.G., 1993. "The Argumentational Texture of Transaction Cost Economics," Research Memorandum FEW 617, Tilburg University, School of Economics and Management.
    2. Goldberg, Victor P & Erickson, John R, 1987. "Quantity and Price Adjustment in Long-term Contracts: A Case Study of Petroleum Coke," Journal of Law and Economics, University of Chicago Press, vol. 30(2), pages 369-398, October.
    3. Kahneman, Daniel & Knetsch, Jack L & Thaler, Richard H, 1986. "Fairness and the Assumptions of Economics," The Journal of Business, University of Chicago Press, vol. 59(4), pages 285-300, October.
    4. Williamson, Oliver E, 1979. "Transaction-Cost Economics: The Governance of Contractural Relations," Journal of Law and Economics, University of Chicago Press, vol. 22(2), pages 233-261, October.
    5. Paul Joskow, 1984. "Vertical Integration and Long Term Contracts: The Case of Coal Burning Electric Generating Plants," Working papers 361, Massachusetts Institute of Technology (MIT), Department of Economics.
    6. Kronman, Anthony T, 1985. "Contract Law and the State of Nature," Journal of Law, Economics, and Organization, Oxford University Press, vol. 1(1), pages 5-32, Spring.
    7. Johanson, Jan & Mattsson, Lars-Gunnar, 1987. "Interorganizational relations in industrial systems : a network approach compared with the transaction cost approach," Working Papers 1987:7, Uppsala University, Department of Business Studies.
    8. Noorderhaven, N.G., 1994. "Transaction cost analysis and the explanation of hybrid vertical inter-firm relations," Other publications TiSEM 7ae86fa0-2ab6-4f37-97f5-4, Tilburg University, School of Economics and Management.
    9. Noorderhaven, N.G., 1992. "The problem of contract enforcement in economic organization theory," Other publications TiSEM 06db09b9-6ffa-4008-afff-2, Tilburg University, School of Economics and Management.
    10. Monteverde, Kirk & Teece, David J, 1982. "Appropriable Rents and Quasi-Vertical Integration," Journal of Law and Economics, University of Chicago Press, vol. 25(2), pages 321-328, October.
    11. Joskow, Paul L, 1985. "Vertical Integration and Long-term Contracts: The Case of Coal-burning Electric Generating Plants," Journal of Law, Economics, and Organization, Oxford University Press, vol. 1(1), pages 33-80, Spring.
    12. Williamson, Oliver E, 1991. "Economic Institutions: Spontaneous and Intentional Governance," Journal of Law, Economics, and Organization, Oxford University Press, vol. 7(0), pages 159-187, Special I.
    13. Mulherin, J Harold, 1986. "Complexity in Long-term Contracts: An Analysis of Natural Gas Contractual Provisions," Journal of Law, Economics, and Organization, Oxford University Press, vol. 2(1), pages 105-117, Spring.
    14. Joskow, Paul L, 1987. "Contract Duration and Relationship-Specific Investments: Empirical Evidence from Coal Markets," American Economic Review, American Economic Association, vol. 77(1), pages 168-185, March.
    15. Williamson, Oliver E, 1983. "Credible Commitments: Using Hostages to Support Exchange," American Economic Review, American Economic Association, vol. 73(4), pages 519-540, September.
    16. Masten, Scott E, 1984. "The Organization of Production: Evidence from the Aerospace Industry," Journal of Law and Economics, University of Chicago Press, vol. 27(2), pages 403-417, October.
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    Cited by:

    1. Virginia R. Young, 2004. "Pricing In An Incomplete Market With An Affine Term Structure," Mathematical Finance, Wiley Blackwell, vol. 14(3), pages 359-381.
    2. Aase Nielsen, J. & Sandmann, Klaus, 1995. "Equity-linked life insurance: A model with stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 16(3), pages 225-253, July.
    3. Coleman, Thomas F. & Li, Yuying & Patron, Maria-Cristina, 2006. "Hedging guarantees in variable annuities under both equity and interest rate risks," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 215-228, April.

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