Optimal asset allocation for pension funds under mortality risk during the accumulation and ecumulation phases
In a financial market with one riskless asset and n risky assets following geometric Brownian motions, we solve the problem of a pension fund maximizing the expected CRRA utility of its terminal wealth. By considering a stochastic death time for a subscriber, we solve a unique problem for both accumulation and decumulation phases. We show that the optimal asset allocation during these two phases must be different. In particular, during the first phase the investment in the risky assets should decrease through time to meet future contractual pension payments while, during the second phase, the risky investment should increase through time because of closeness of death time. Our findings also suggest that it is not optimal to manage the two phases separately.
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- Josa-Fombellida, Ricardo & Rincon-Zapatero, Juan Pablo, 2001. "Minimization of risks in pension funding by means of contributions and portfolio selection," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 35-45, August.
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- Paolo BATTOCCHIO & Francesco MENONCIN, 2002. "Optimal Pension Management under Stochastic Interest Rates, Wages, and Inflation," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002021, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Menoncin, Francesco, 2002. "Optimal portfolio and background risk: an exact and an approximated solution," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 249-265, October.
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