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Dynamic Asset Allocation for Stocks, Bonds, and Cash

Author

Listed:
  • Isabelle Bajeux-Besnainou

    (George Washington University)

  • James V. Jordan

    (National Economic Research Associates)

  • Roland Portait

    (CNAM and ESSEC)

Abstract

Closed-form solutions for HARA optimal portfolios are obtained in a dynamic portfolio optimization model in three assets (stocks, bonds, and cash) in a Vasicek-type model of stochastic interest rates with correlated stock prices. The HARA is a buy-and-hold combination of a zero-coupon bond with maturity matching the investor's horizon and a "CRRA mutual fund." This simple characterization facilitates insights about investor behavior over time and provides explanations on the rational use of convex versus concave investment strategies. The model illuminates clearly the role of the different market parameters and relative risk aversion in portfolio strategies.

Suggested Citation

  • Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2003. "Dynamic Asset Allocation for Stocks, Bonds, and Cash," The Journal of Business, University of Chicago Press, vol. 76(2), pages 263-288, April.
    • Handle: RePEc:ucp:jnlbus:v:76:y:2003:i:2:p:263-288
    DOI: 10.1086/367750
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    Citations

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    Cited by:

    1. Eduardo Walker, 2006. "Optimal Portfolios In Defined Contribution Pension Systems," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 9(2), pages 99-129.
    2. Ryle S. Perera & Kimitoshi Sato, 2018. "Optimal asset allocation for a bank under risk control," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 1-27, September.
    3. Zhen Shi & Bas J.M. Werker, 2011. "Economic Costs and Benefits of Imposing Short-Horizon Value-at-Risk Type Regulation," Tinbergen Institute Discussion Papers 11-053/2/DSF17, Tinbergen Institute.
    4. Hui-Ju Tsai & Yangru Wu, 2015. "Optimal portfolio choice with asset return predictability and nontradable labor income," Review of Quantitative Finance and Accounting, Springer, vol. 45(1), pages 215-249, July.
    5. André Palma & Jean-Luc Prigent, 2009. "Standardized versus customized portfolio: a compensating variation approach," Annals of Operations Research, Springer, vol. 165(1), pages 161-185, January.
    6. Bruder, Benjamin & Roncalli, Thierry, 2012. "Managing risk exposures using the risk budgeting approach," MPRA Paper 37246, University Library of Munich, Germany.
    7. Gerrard, Russell & Kyriakou, Ioannis & Nielsen, Jens Perch & Vodička, Peter, 2023. "On optimal constrained investment strategies for long-term savers in stochastic environments and probability hedging," European Journal of Operational Research, Elsevier, vol. 307(2), pages 948-962.
    8. Eduardo Walker, 2008. "Assessing Alternative Institutional Designs For Investment Regulation In Defined Contribution Pension Funds," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 11(2), pages 121-152.
    9. Chakroun, Oussama & Dionne, Georges & Dugas-Sampara, Amélie, 2006. "Empirical evaluation of investor rationality in the asset allocation puzzle," Working Papers 06-11, HEC Montreal, Canada Research Chair in Risk Management.
    10. Lioui, Abraham, 2007. "The asset allocation puzzle is still a puzzle," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1185-1216, April.
    11. Julian Holzermann, 2023. "Optimal Investment with Stochastic Interest Rates and Ambiguity," Papers 2306.13343, arXiv.org, revised Oct 2023.
    12. Wong, K.C. & Yam, S.C.P. & Zeng, J., 2019. "Mean-risk portfolio management with bankruptcy prohibition," Insurance: Mathematics and Economics, Elsevier, vol. 85(C), pages 153-172.
    13. Hoevenaars, Roy P.M.M. & Molenaar, Roderick D.J. & Schotman, Peter C. & Steenkamp, Tom B.M., 2008. "Strategic asset allocation with liabilities: Beyond stocks and bonds," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2939-2970, September.
    14. Lin, Wen-chang & Lu, Jin-ray, 2012. "Risky asset allocation and consumption rule in the presence of background risk and insurance markets," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 150-158.
    15. Isabelle Bajeux-Besnainou & Kurtay Ogunc, 2006. "Spending rules for endowment funds," Review of Quantitative Finance and Accounting, Springer, vol. 27(1), pages 93-107, August.
    16. Xing Jin & Xudong Zeng, 2018. "Dynamic Asset Allocation with Uncertain Jump Risks: A Pathwise Optimization Approach," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 347-376, May.
    17. Farid Mkouar & Jean-Luc Prigent, 2014. "Long-Term Investment with Stochastic Interest and Inflation Rates Incompleteness and Compensating Variation," Working Papers 2014-301, Department of Research, Ipag Business School.
    18. Shi, Zhen & Werker, Bas J.M., 2012. "Short-horizon regulation for long-term investors," Journal of Banking & Finance, Elsevier, vol. 36(12), pages 3227-3238.
    19. Guan, Guohui & Liang, Zongxia, 2014. "Optimal reinsurance and investment strategies for insurer under interest rate and inflation risks," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 105-115.
    20. Mei-Ling Tang & Ting-Pin Wu & Ming-Chin Hung, 2022. "Optimal Pension Fund Management with Foreign Investment in a Stochastic Environment," Mathematics, MDPI, vol. 10(14), pages 1-21, July.
    21. André de Palma & Nathalie Picard & Jean-Luc Prigent, 2009. "Prise en compte de l'attitude face au risque dans le cadre de la directive MiFID," Working Papers hal-00418892, HAL.
    22. Tang, Mei-Ling & Chen, Son-Nan & Lai, Gene C. & Wu, Ting-Pin, 2018. "Asset allocation for a DC pension fund under stochastic interest rates and inflation-protected guarantee," Insurance: Mathematics and Economics, Elsevier, vol. 78(C), pages 87-104.

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