Pricing life insurance contracts with early exercise features

  • Authors:
  • Anna Rita Bacinello;Enrico Biffis;Pietro Millossovich

  • Affiliations:
  • Department of Applied Mathematics, University of Trieste, Piazzale Europa 1, 34127 Trieste, Italy;Tanaka Business School, Imperial College London, South Kensington Campus, SW7 2AZ, United Kingdom;Department of Applied Mathematics, University of Trieste, Piazzale Europa 1, 34127 Trieste, Italy

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2009

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Abstract

In this paper we describe an algorithm based on the Least Squares Monte Carlo method to price life insurance contracts embedding American options. We focus on equity-linked contracts with surrender options and terminal guarantees on benefits payable upon death, survival and surrender. The framework allows for randomness in mortality as well as stochastic volatility and jumps in financial risk factors. We provide numerical experiments demonstrating the performance of the algorithm in the context of multiple risk factors and exercise dates.