Algorithm 659: Implementing Sobol's quasirandom sequence generator
ACM Transactions on Mathematical Software (TOMS)
Randomized Quasi-Monte Carlo: a tool for improving the efficiency of simulations in finance
WSC '04 Proceedings of the 36th conference on Winter simulation
Pricing life insurance contracts with early exercise features
Journal of Computational and Applied Mathematics
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In this paper, we consider equity-linked life insurance contracts that give their holder the possibility to surrender their policy before maturity. Such contracts can be valued using simulation methods proposed for the pricing of American options, but the mortality risk must also be taken into account when pricing such contracts. Here, we use the least-squares Monte Carlo approach of Longstaff and Schwartz coupled with quasi-Monte Carlo sampling and a control variate in order to construct efficient estimators for the value of such contracts. We also show how to incorporate the mortality risk into these pricing algorithms without explicitly simulating it.