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Optimal Portfolio Choice with Annuitization

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  • Koijen, R.S.J.
  • Nijman, T.E.
  • Werker, B.J.M.

    (Tilburg University, Center for Economic Research)

Abstract

We study the optimal consumption and portfolio choice problem over an individual's life-cycle taking into account annuity risk at retirement. Optimally, the investor allocates wealth at retirement to nominal, inflation-linked, and variable annuities and conditions this choice on the state of the economy.We also consider the case in which there are, either for behavioral or institutional reasons, limitations in the types of annuities that are available at retirement.Subsequently, we determine how the investor optimally anticipates annuitization before retirement.We find that i) using information on term structure variables and risk premia significantly improves the optimal annuity choice, ii) restricting the annuity menu to nominal or inflation-linked annuities is costly for both conservative and more aggressive investors, and iii) adjustments in the optimal investment strategy before retirement induced by the annuity demand due to inflation risk and time-varying risk premia are economically significant.This holds as well for sub-optimal annuity choices.The adjustment to hedge real interest rate risk is negligible.We estimate that the welfare costs of not taking these three factors into account at retirement are 9% for an individual with an average risk aversion ( = 5).Not hedging annuity risk before retirement causes an additional welfare costs between 1% and 13%, depending on the annuitization strategy implemented at retirement.

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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2006-78.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:200678

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Web page: http://center.uvt.nl

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Keywords: optimal life-cycle portfolio choice; annuity risk;

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Citations

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Cited by:
  1. Milevsky, Moshe A. & Young, Virginia R., 2007. "Annuitization and asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3138-3177, September.
  2. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2007. "Money in motion: Dynamic portfolio choice in retirement," CFS Working Paper Series 2007/21, Center for Financial Studies (CFS).
  3. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchel & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," Working Papers wp177, University of Michigan, Michigan Retirement Research Center.
  4. Horneff, Wolfram J. & Maurer, Raimond H. & Mitchell, Olivia S. & Stamos, Michael Z., 2009. "Asset allocation and location over the life cycle with investment-linked survival-contingent payouts," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1688-1699, September.
  5. Bovenberg, A.L. & Koijen, R.S.J. & Nijman, T.E. & Teulings, C.N., 2007. "Saving and investing over the life cycle and the role of collective pension funds," Open Access publications from Tilburg University urn:nbn:nl:ui:12-301942, Tilburg University.
  6. Wolfram J. Horneff & Raimond H. Maurer & Olivia S. Mitchell & Michael Z. Stamos, 2008. "Asset Allocation and Location over the Life Cycle with Survival-Contingent Payouts," NBER Working Papers 14055, National Bureau of Economic Research, Inc.

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