Uniqueness of the Fair Premium for Equity-Linked Life Insurance Contracts

THE GENEVA PAPERS ON RISK AND INSURANCE THEORY, Vol. 21 No. 1, June 1996

Posted: 21 May 1996

See all articles by J. Aase Nielsen

J. Aase Nielsen

Aarhus University - Department of Theoretical Statistics and Operations Research

Klaus Sandmann

University of Bonn - The Bonn Graduate School of Economics

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Abstract

An equity-linked life insurance contract combines an endowment life insurance and an investment strategy with a minimum guarantee. The benefit of this contract is determined by the guaranteed amount plus a bonus equal to a call on the portfolio. This bonus is similar to an Asian option. We analyze the relationship between the periodic insurance premium and its proportional share invested into the portfolio. For a general model of the financial risks we show the existence and uniqueness of an insurance premium. Furthermore the premium is strictly increasing and convex as a function of the share invested.

JEL Classification: C15, G22

Suggested Citation

Nielsen, Jørgen Aase and Sandmann, Klaus, Uniqueness of the Fair Premium for Equity-Linked Life Insurance Contracts. THE GENEVA PAPERS ON RISK AND INSURANCE THEORY, Vol. 21 No. 1, June 1996, Available at SSRN: https://ssrn.com/abstract=7586

Jørgen Aase Nielsen

Aarhus University - Department of Theoretical Statistics and Operations Research ( email )

DK-8000 Aarhus C
Denmark

Klaus Sandmann (Contact Author)

University of Bonn - The Bonn Graduate School of Economics ( email )

Adenauerallee 24-26
Bonn, D-53113
Germany

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