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Limiting Distribution of the Present Value of a Portfolio

Published online by Cambridge University Press:  29 August 2014

Gary Parker
Gary Parker*
Affiliation:
Simon Fraser University
*
Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada.
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Abstract

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An approximation of the distribution of the present value of the benefits of a portfolio of temporary insurance contracts is suggested for the case where the size of the portfolio tends to infinity. The model used is the one presented in Parker (1922b) and involves random interest rates and future lifetimes. Some justifications of the approximation are given. Illustrations for limiting portfolios of temporary insurance contracts are presented for an assumed Ornstein-Uhlenbeck process for the force of interest.

Keywords

Force of interestOrnstein-Uhlenbeck processPortfolio of policiesPresent value functionLimiting distribution
Type
Articles
Information
ASTIN Bulletin: The Journal of the IAA , Volume 24 , Issue 1 , May 1994 , pp. 47 - 60
Copyright
Copyright © International Actuarial Association 1994

References

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