Abstract

<p style='text-indent:20px;'>This paper studies the optimal investment choices and benefit adjustment strategy for a target benefit plan (TBP) with stochastic mortality force. The pension fund is invested in a risk-free asset, a stock, and a longevity-linked asset, as a derivative of the mortality force. Using the stochastic optimal control approach, we obtain closed-form solutions for optimal portfolio choices and benefit adjustment strategy in the financial market with or without the longevity-linked asset, which minimize the combination of benefit gap from the target level and pension plan's discontinuity risk. Numerical analysis is provided to show the effects of parameters on the optimal strategies.</p>

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