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Mixed-asset portfolio allocation under mean-reverting asset returns

Author

Listed:
  • Charles-Olivier Amédée-Manesme

    (ULaval - Université Laval [Québec])

  • Fabrice Barthélémy

    (Cemotev - Centre d'études sur la mondialisation, les conflits, les territoires et les vulnérabilités - UVSQ - Université de Versailles Saint-Quentin-en-Yvelines)

  • Philippe Bertrand

    (CERGAM - Centre d'Études et de Recherche en Gestion d'Aix-Marseille - AMU - Aix Marseille Université - UTLN - Université de Toulon)

  • Jean-Luc Prigent

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique, CY - CY Cergy Paris Université)

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.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Charles-Olivier Amédée-Manesme & Fabrice Barthélémy & Philippe Bertrand & Jean-Luc Prigent, 2018. "Mixed-asset portfolio allocation under mean-reverting asset returns," Post-Print hal-01955220, HAL.
  • Handle: RePEc:hal:journl:hal-01955220
    DOI: 10.1007/s10479-018-2761-y
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    2. Erdinc Akyildirim & Frank J. Fabozzi & Ahmet Goncu & Ahmet Sensoy, 2022. "Statistical arbitrage in jump-diffusion models with compound Poisson processes," Annals of Operations Research, Springer, vol. 313(2), pages 1357-1371, June.
    3. Philippe Bertrand, 2024. "Black-scholes approximation of warrant prices: slight return in a low interest rate environment," Annals of Operations Research, Springer, vol. 334(1), pages 83-100, March.
    4. Harvey J. Stein & Jacob Pozharny, 2022. "Modeling Momentum and Reversals," Risks, MDPI, vol. 10(10), pages 1-10, October.

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