Optimal Hedging Strategies for Multi-Period Guarantees in the Presence of Transaction Costs: A Stochastic Programming Approach
Norwegian University of Science and Technology (NTNU)
Norwegian University of Science and Technology (NTNU) Norway
April 7, 2006
European Journal of Operational Research, Vol. 185, No. 3, pp. 1680-1689, 2008
Multi-period guarantees are often embedded in life insurance contracts. In this paper we consider the problem of hedging these multi-period guarantees in the presence of transaction costs. We derive the hedging strategies for the cheapest hedge portfolio for a multi-period guarantee that with certainty makes the insurance company able to meet the obligations from the insurance policies it has issued. We find that by imposing transaction costs, the insurance company reduces the rebalancing of the hedge portfolio. The cost of establishing the hedge portfolio also increases as the transaction cost increases. For the multi-period guarantee there is a rather large rebalancing of the hedge portfolio as we go from one period to the next. By introducing transaction costs we find the size of this rebalancing to be reduced. Transaction costs may therefore be one possible explanation for why we do not see the insurance companies performing a large rebalancing of their investment portfolio at the end of each year.
Number of Pages in PDF File: 17
Keywords: multi-period guarantee, optimal hedging strategies, transaction costs, stochastic programming
JEL Classification: G13, G22, C61
Date posted: May 3, 2006 ; Last revised: January 27, 2012
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