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RISK ANALYSIS OF ANNUITY CONVERSION OPTIONS IN A STOCHASTIC MORTALITY ENVIRONMENT

Published online by Cambridge University Press:  09 April 2014

Alexander Kling ,
Jochen Ruß  and
Katja Schilling
Alexander Kling
Affiliation:
Institut für Finanz- und Aktuarwissenschaften, Lise-Meitner-Str. 14, 89081 Ulm, Germany Phone: +49-731-20644242 E-mail: a.kling@ifa-ulm.de
Jochen Ruß
Affiliation:
Institut für Finanz- und Aktuarwissenschaften and Universität Ulm, Lise-Meitner-Str. 14, 89081 Ulm, Germany Phone: +49-731-20644233 E-mail: j.russ@ifa-ulm.de
Katja Schilling*
Affiliation:
Institut für Versicherungswissenschaften, Universität Ulm, Helmholtzstraße 20, 89081 Ulm, Germany Phone: +49-731-5031174, Fax: +49-731-5031188
*
E-mail: katja.schilling@uni-ulm.de
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Abstract

While extensive literature exists on the valuation and risk management of financial guarantees embedded in insurance contracts, both the corresponding longevity guarantees and interactions between financial and longevity guarantees are often ignored. The present paper provides a framework for a joint analysis of financial and longevity guarantees, and applies this framework to different annuity conversion options in deferred unit-linked annuities. In particular, we analyze and compare different versions of so-called guaranteed annuity options and guaranteed minimum income benefits with respect to the value of the option and the resulting risk for the insurer. Furthermore, we examine whether and to what extent an insurance company is able to reduce the risk by typical risk management strategies. The analysis is based on a combined stochastic model for both financial market and future survival probabilities. We show that different annuity conversion options have significantly different option values, and that different risk management strategies lead to a significantly different risk for the insurance company.

Keywords

Financial risklongevity riskguaranteed annuity optionguaranteed minimum income benefitvaluation and risk analysis of embedded guarantees
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 44 , Issue 2 , May 2014 , pp. 197 - 236
Copyright
Copyright © ASTIN Bulletin 2014 

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