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Life Contingencies With Stochastic Discounting Using Moving Average Models, Steven Haberman, Russell Gerrard, Dimitrios Velmachos

Journal of Actuarial Practice (1993-2006)

This paper offers simplified procedures for calculating moments of functions in life contingencies when the random force of interest is modeled using an unconditional moving average process of order q, MA(q). It extends the MA(l) model that has been used for stochastic discounting. Using the more general MA(q) model allows actuaries to better capture the auto correlation between successive interest rates in a time series.