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Exotic Unit-Linked Life Insurance Contracts

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Financial Risk and Derivatives

Abstract

This article integrates aspects of traditional insurance with advances in financial economics, yielding proper valuation and premium assessments of insurance benefits linked to various financial assets. Several new types of unit-linked life insurance contracts are discussed, with substantial potential for real-life applications. Compared to usual unit-linked products, these contracts offer added flexibility and/or altered exposure to financial risk for the insured and/or the insurer. The single premiums of these policies are calculated as expectations under a risk-adjusted probability measure (equivalent martingale measure), satisfying no-arbitrage conditions in financial markets.

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References

  • AASE, K.K., and PERSSON, S.A. [1994]: “Pricing of Unit-Linked Life Insurance Policies,” Scandinavian Actuarial Journal, 26–52.

    Google Scholar 

  • ABRAMOWITZ, M., and STEGUN, I.A. (Eds.). [1970]: Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series 55, U.S. Government Priting Office, Washington, D.C. 20402.

    Google Scholar 

  • BACINELLO, A.R., and ORTU, F. [1993a]: “Pricing Equity-Linked Life Insurance with Endogenous Minimum Guarantees,” Insurance: Mathematics and Economics, 12, 245–257.

    Article  Google Scholar 

  • BACINELLO, A.R., and ORTU, F. [1993b]: “Pricing Guaranteed Securities-Linked Life Insurance Under Interest-Rate Risk,” Actuarial Approach for Financial Risk, Transactions of the Third AFIR International Colloquium, Rome, 35–55.

    Google Scholar 

  • BACINELLO, A.R., and ORTU, F. [1994]: “Single and Periodic Premiums for Guaranteed Equity-Linked Life Insurance under Interest Rate Risk: The Lognormal + Vacisek Case,” Financial Modelling, L. Peccati and M. Viren (Eds.), Physica-Verlag, Heidelberg, Germany, 1–25.

    Google Scholar 

  • BACINELLO, A.R., and ORTU, F. [1995]: “Fixed Income Linked Life Insurance Policies with Minimum Guarantees: Pricing Models and Numerical Results,” Working paper, University of Cassino, Via Mazzaropi, 03043 Cassino (FR), Italy.

    Google Scholar 

  • BLACK, F., and SCHOLES, M. [1973]: “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy, 81, 637–654.

    Article  Google Scholar 

  • BOYLE, P.P., and SCHWARTZ, E.S. [1977]: “Equilibrium Prices of Guarantees Under Equity-Linked Contracts,” Journal of Risk and Insurance, 44, 639–680.

    Article  Google Scholar 

  • BRENNAN, M. J., and SCHWARTZ, E.S. [1976]: “The Pricing of Equity-Linked Life Insurance Policies with an Asset Value Guarantee,” Journal of Financial Economics, 3, 195–213.

    Article  Google Scholar 

  • BRENNAN, M. J., and SCHWARTZ, E.S. [1979a]: “Alternative Investment Strategies for the Issuers of Equity Linked Life Insurance with an Asset Value Guarantee,” Journal of Business, 52, 63–93.

    Article  Google Scholar 

  • BRENNAN, M. J., and SCHWARTZ, E.S. [1979b]: Pricing and Investment Strategies for Equity-Linked Life Insurance, Monograph no. 7/The S.S. Huebner Foundation for Insurance Education, Wharton School, University of Pennsylvania, Philadelphia.

    Google Scholar 

  • BROADIE, M., and DETEMPLE, J. [1995]: “American Capped Call Options on Dividend-Paying Assets,” The Review of Financial Studies, 8, 161–191.

    Article  Google Scholar 

  • DELBAEN, F. [1990]: “Equity Linked Policies,” Bulletin Association des Actuaires Beiges, 33–52.

    Google Scholar 

  • DUFFIE, D. [1992]: Dynamic Asset Pricing Theory, University Press, Princeton, New Jersey.

    Google Scholar 

  • DYBVIG, PH., and ROSS, S.A. [1992]: “Arbitrage,” in The New Palgrave Dictionary of Money and Finance, Peter Newman, Murray Milgate, and John Eatwell (Eds.), Macmillan Press, London.

    Google Scholar 

  • HARRISON, J.M., and KREPS, J. [1979]: “Martingales and Multiperiod Securities Markets,” Journal of Economic Theory, 20, 381–408.

    Article  Google Scholar 

  • HULL, J.C. [1993]: Options, Futures, and Other Derivative Securities, Second Ed., Prentice-Hall International, Englewood Cliffs, NJ 07632.

    Google Scholar 

  • JOHNSON, H. [1987]: “Options on the Maximum or the Minimum of Several Assets,” Journal of Financial and Quantitative Analysis, 22, 277–283.

    Article  Google Scholar 

  • MARGRABE, W. [1978]: “The Value of an Option to Exchange One Asset for Another,” Journal of Finance, 33, 177–186.

    Article  Google Scholar 

  • NIELSEN, J. A. [1993]: “Equity-Linked Life Insurance Contracts in an Economy with a Stochastic Development of the Term Structure of Interest Rates,” Department of Operations Research, Aarhus University.

    Google Scholar 

  • NIELSEN, J.A., and SANDMANN, K. [1995]: “Equity-Linked Life Insurance: A Model with Stochastic Interest Rates,” Insurance: Mathematics and Economics, 16, 225–253.

    Article  Google Scholar 

  • PERSSON, S.A. [1994]: “Pricing Life Insurance Contracts Under Financial Uncertainty,” Doctoral dissertation, Norwegian School of Economics and Business Administration, Bergen.

    Google Scholar 

  • STULZ, R. [1982]: “Options on the Minimum or Maximum of Two Assets,” Journal of Financial Economics, 10, 161–185.

    Article  Google Scholar 

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Henri Loubergé Marti G. Subrahmanyam

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© 1996 The Geneva Association

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Ekern, S., Persson, SA. (1996). Exotic Unit-Linked Life Insurance Contracts. In: Loubergé, H., Subrahmanyam, M.G. (eds) Financial Risk and Derivatives. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1826-9_4

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  • DOI: https://doi.org/10.1007/978-94-009-1826-9_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7314-1

  • Online ISBN: 978-94-009-1826-9

  • eBook Packages: Springer Book Archive

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