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Mixed-asset portfolio allocation under mean-reverting asset returns

Author

Listed:
  • Charles-Olivier Amédée-Manesme

    (Laval University)

  • Fabrice Barthélémy

    (University of Versailles Saint-Quentin-en-Yvelines)

  • Philippe Bertrand

    (Aix-Marseille Graduate School of Management - IAE, CERGAM and AMSE
    KEDGE BS)

  • Jean-Luc Prigent

    (University of Cergy-Pontoise)

Abstract

Standard results about portfolio optimization suggest that the allocation to real estate in a mixed-asset portfolio should be around 15–20%. However, the institutional investors share in real estate is significantly smaller, around 7–9%. Many researches have addressed this point even if as of today no consensus has emerged. In this paper, we built-up an allocation model that can explain the empirical observed weights. For this purpose, we account for the term structure of all standard financial assets and also of real estate asset class (expected returns, volatilities and correlations depending on the time to maturity). We propose a dynamic portfolio optimization model that allows analyzing portfolio weights with respect to the whole term structure modelling, due to its tractability and its good fit when being adequately calibrated. In this framework, we provide explicit and operational solutions to the dynamic mixed-asset portfolio allocation (cash, real estate, stock and bond). The results show that accounting for investment horizon and mean-reverting dynamics allows to better examine how portfolio allocations depend on both risk aversion and investment horizon.

Suggested Citation

  • Charles-Olivier Amédée-Manesme & Fabrice Barthélémy & Philippe Bertrand & Jean-Luc Prigent, 2019. "Mixed-asset portfolio allocation under mean-reverting asset returns," Annals of Operations Research, Springer, vol. 281(1), pages 65-98, October.
    • Handle: RePEc:spr:annopr:v:281:y:2019:i:1:d:10.1007_s10479-018-2761-y
    DOI: 10.1007/s10479-018-2761-y
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    1. Campbell, John Y. & Viceira, Luis Manuel, 2005. "The Term Structure of the Risk–Return Trade-Off," Scholarly Articles 34299168, Harvard University Department of Economics.
    2. Isabelle Bajeux-Besnainou & James V. Jordan & Roland Portait, 2001. "An Asset Allocation Puzzle: Comment," American Economic Review, American Economic Association, vol. 91(4), pages 1170-1179, September.
    3. Gregory H. Chun & J. Sa-Aadu & James D. Shilling, 2004. "The Role of Real Estate in an Institutional Investor's Portfolio Revisited," The Journal of Real Estate Finance and Economics, Springer, vol. 29(3), pages 295-320, November.
    4. John Y. Campbell & Luis M. Viceira, 2005. "The Term Structure of the Risk–Return Trade-Off," Financial Analysts Journal, Taylor & Francis Journals, vol. 61(1), pages 34-44, January.
    5. Christian Rehring, 2012. "Real Estate in a Mixed‐Asset Portfolio: The Role of the Investment Horizon," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 40(1), pages 65-95, March.
    6. Lioui, Abraham & Poncet, Patrice, 2001. "On optimal portfolio choice under stochastic interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 25(11), pages 1841-1865, November.
    7. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    8. Wachter, Jessica A., 2002. "Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(1), pages 63-91, March.
    9. 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.
    10. Michael J. Brennan & Yihong Xia, 2000. "Stochastic Interest Rates and the Bond-Stock Mix," Review of Finance, European Finance Association, vol. 4(2), pages 197-210.
    11. Geltner, David Michael, 1991. "Smoothing in Appraisal-Based Returns," The Journal of Real Estate Finance and Economics, Springer, vol. 4(3), pages 327-345, September.
    12. Canner, Niko & Mankiw, N Gregory & Weil, David N, 1997. "An Asset Allocation Puzzle," American Economic Review, American Economic Association, vol. 87(1), pages 181-191, March.
    13. Carolina Fugazza & Massimo Guidolin & Giovanna Nicodano, 2007. "Investing for the Long-run in European Real Estate," The Journal of Real Estate Finance and Economics, Springer, vol. 34(1), pages 35-80, January.
    14. Darrell Duffie & Rui Kan, 1996. "A Yield‐Factor Model Of Interest Rates," Mathematical Finance, Wiley Blackwell, vol. 6(4), pages 379-406, October.
    15. Richard Barkham & David Geltner, 1995. "Price Discovery in American and British Property Markets," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 23(1), pages 21-44, March.
    16. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    17. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
    18. Zhenguo Lin & Yingchun Liu, 2008. "Real Estate Returns and Risk with Heterogeneous Investors," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(4), pages 753-776, December.
    19. Martin Hoesli & Jon Lekander & Witold Witkiewicz, 2004. "New International Evidence on Real Estate as a Portfolio Diversifier," Journal of Real Estate Research, American Real Estate Society, vol. 26(2), pages 161-206.
    20. Carl Chiarella & Willi Semmler & Chih-Ying Hsiao & Lebogang Mateane, 2016. "Sustainable Asset Accumulation and Dynamic Portfolio Decisions," Dynamic Modeling and Econometrics in Economics and Finance, Springer, number 978-3-662-49229-1, May.
    21. Gregory H. MacKinnon & Ashraf Al Zaman, 2009. "Real Estate for the Long Term: The Effect of Return Predictability on Long‐Horizon Allocations," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 37(1), pages 117-153, March.
    22. 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.
    23. James R. Webb & Jack H. Rubens, 1986. "Portfolio Considerations in the Valuation of Real Estate," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 14(3), pages 465-495, September.
    24. Michel Baroni & Fabrice Barthélémy & Mahdi Mokrane, 2008. "Un nouvel indice de risque immobilier pour le marché résidentiel parisien," Revue économique, Presses de Sciences-Po, vol. 59(1), pages 99-118.
    25. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    26. Heaney, Richard & Sriananthakumar, Sivagowry, 2012. "Time-varying correlation between stock market returns and real estate returns," Journal of Empirical Finance, Elsevier, vol. 19(4), pages 583-594.
    27. Cvitanic, Jaksa & Goukasian, Levon & Zapatero, Fernando, 2003. "Monte Carlo computation of optimal portfolios in complete markets," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 971-986, April.
    28. Jérôme B. Detemple & Ren Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, February.
    29. Joseph L. Pagliari, 2017. "Another Take on Real Estate's Role in Mixed†Asset Portfolio Allocations," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 45(1), pages 75-132, February.
    30. Long, John Jr., 1990. "The numeraire portfolio," Journal of Financial Economics, Elsevier, vol. 26(1), pages 29-69, July.
    31. Robert C. Merton, 1992. "Financial Innovation And Economic Performance," Journal of Applied Corporate Finance, Morgan Stanley, vol. 4(4), pages 12-22, January.
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