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Creating Customer Value in Participating Life Insurance
Authors:Nadine Gatzert  Ines Holzmüller  Hato Schmeiser
Institution:Nadine Gatzert is at the Friedrich‐Alexander‐University of Erlangen‐Nürnberg (Germany), Chair for Insurance Economics, Lange Gasse 20, 90403 Nürnberg, Germany. Ines Holzmüller is in Zurich. Hato Schmeiser is in the Institute of Insurance Economics at the University of St. Gallen, Chair for Risk Management and Insurance, Kirchlistrasse 2, 9010 St. Gallen, Switzerland. The authors can be contacted via e‐mail: nadine.gatzert@wiso.uni‐erlangen.de and hato.schmeiser@unisg.ch, respectively.
Abstract:The value of a life insurance contract may differ depending on whether it is looked at from the customer's point of view or that of the insurance company. We assume that the insurer is able to replicate the life insurance contract's cash flows via assets traded on the capital market and can hence apply risk‐neutral valuation techniques. The policyholder, on the other hand, will take risk preferences and diversification opportunities into account when placing a value on that same contract. Customer value is represented by policyholder willingness to pay and depends on the contract parameters, that is, the guaranteed interest rate and the annual and terminal surplus participation rate. The aim of this article is to analyze and compare these two perspectives. In particular, we identify contract parameter combinations that—while keeping the contract value fixed for the insurer—maximize customer value. In addition, we derive explicit expressions for a selection of specific cases. Our results suggest that a customer segmentation in this sense, that is, based on the different ways customers evaluate life insurance contracts and embedded investment guarantees while ensuring fair values, is worthwhile for insurance companies as doing so can result in substantial increases in policyholder willingness to pay.
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