Optimal asset allocation for pension funds under mortality risk during the accumulation and decumulation phases
AbstractIn 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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Bibliographic InfoPaper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 2003-28.
Date of creation: 2003
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Other versions of this item:
- Paolo Battocchio & Francesco Menoncin & Olivier Scaillet, 2003. "Optimal asset allocation for pension funds under mortality risk during the accumulation and ecumulation phases," FAME Research Paper Series rp66, International Center for Financial Asset Management and Engineering.
- Paolo, BATTOCCHIO & Francesco, MENONCIN & Olivier, SCAILLET, 2003. "Optimal asset allocation for pension funds under mortality risk during the accumulation and decumulation phases," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2003004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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