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Optimal asset allocation for pension funds under mortality risk during the accumulation and decumulation phases

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  • Paolo Battocchio
  • Francesco Menoncin

    ()

  • Olivier Scaillet

Abstract

In a financial market with one riskless asset and n risky assets whose prices are lognormal, we solve in a closed form the problem of a pension fund maximizing the expected CRRA utility of its surplus till the (stochastic) death time of a representative agent. We consider a unique asset allocation problem for both accumulation and decumulation phases. The optimal investment in the risky assets must decrease during the first phase and increase during the second one. We accordingly suggest it is not optimal to manage the two phases separately, and outsourcing of allocation decisions should be avoided in both phases. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Paolo Battocchio & Francesco Menoncin & Olivier Scaillet, 2007. "Optimal asset allocation for pension funds under mortality risk during the accumulation and decumulation phases," Annals of Operations Research, Springer, vol. 152(1), pages 141-165, July.
  • Handle: RePEc:spr:annopr:v:152:y:2007:i:1:p:141-165:10.1007/s10479-006-0144-2
    DOI: 10.1007/s10479-006-0144-2
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    References listed on IDEAS

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    1. 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.
    2. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    3. 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).
    4. Charupat, Narat & Milevsky, Moshe A., 2002. "Optimal asset allocation in life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 199-209, April.
    5. 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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    Citations

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    Cited by:

    1. Marina Di Giacinto & Salvatore Federico & Fausto Gozzi, 2011. "Pension funds with a minimum guarantee: a stochastic control approach," Finance and Stochastics, Springer, vol. 15(2), pages 297-342, June.
    2. repec:ksp:journ5:v:4:y:2017:i:2:p:130-159 is not listed on IDEAS
    3. Menoncin, Francesco, 2005. "Cyclical risk exposure of pension funds: A theoretical framework," Insurance: Mathematics and Economics, Elsevier, vol. 36(3), pages 469-484, June.
    4. Moshe A. Milevsky & Virginia R. Young, 2015. "Annuitization and asset allocation," Papers 1506.05990, arXiv.org.
    5. Francesco Menoncin & Luca Regis, 2015. "Longevity assets and pre-retirement consumption/portfolio decisions," Working Papers 2/2015, IMT Institute for Advanced Studies Lucca, revised May 2015.
    6. Ayşegül İşcanog̃lu-Çekiç, 2016. "An Optimal Turkish Private Pension Plan with a Guarantee Feature," Risks, MDPI, Open Access Journal, vol. 4(3), pages 1-12, June.
    7. Josa-Fombellida, Ricardo & Rincón-Zapatero, Juan Pablo, 2012. "Stochastic pension funding when the benefit and the risky asset follow jump diffusion processes," European Journal of Operational Research, Elsevier, vol. 220(2), pages 404-413.
    8. Luciano, Elisa & Regis, Luca, 2014. "Efficient versus inefficient hedging strategies in the presence of financial and longevity (value at) risk," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 68-77.
    9. repec:eee:insuma:v:76:y:2017:i:c:p:75-86 is not listed on IDEAS
    10. Francesco Menoncin & Olivier Scaillet, 2003. "Mortality Risk and Real Optimal Asset Allocation for Pension Funds," FAME Research Paper Series rp101, International Center for Financial Asset Management and Engineering.
    11. repec:ksp:journ5:v:4:y:2017:i:3:p:402-403 is not listed on IDEAS
    12. Ibhagui, Oyakhilome, 2016. "Optimal Asset Allocation of a Pension Fund: Does The Fear of Regret Matter?," MPRA Paper 75802, University Library of Munich, Germany.
    13. Katarzyna Romaniuk, 2007. "The optimal asset allocation of the main types of pension funds: a unified framework," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 32(2), pages 113-128, December.

    More about this item

    Keywords

    Pension fund; Mortality risk; Asset allocation;

    JEL classification:

    • 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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