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Dynamic asset allocation and downside-risk aversion

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  • Berkelaar, A.B.
  • Kouwenberg, R.R.P.

Abstract

This paper considers dynamic asset allocation in a mean versus downside-risk framework. We derive closed-form solutions for the optimal portfolio weights when returns are lognormally distributed. Moreover, we study the impact of skewed and fat-tailed return distributions. We find that the optimal fraction invested in stocks is V-shaped: at low and high levels of wealth the investor increases the stock weight. The optimal strategy also exhibits reverse time-effects: the investor allocates more to stocks as the horizon approaches. Furthermore, the investment strategy becomes more risky for negatively skewed and fat-tailed return distributions.

Suggested Citation

  • Berkelaar, A.B. & Kouwenberg, R.R.P., 2000. "Dynamic asset allocation and downside-risk aversion," Econometric Institute Research Papers EI 2000-12/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:1645
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    Cited by:

    1. Arjen Siegmann & André Lucas, 2005. "Discrete-Time Financial Planning Models Under Loss-Averse Preferences," Operations Research, INFORMS, vol. 53(3), pages 403-414, June.
    2. Börsch-Supan, Axel & Ludwig, Alexander & Sommer, Mathias, 2005. "Aging and Asset Prices," Sonderforschungsbereich 504 Publications 07-29, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    3. Massa, Massimo & von Beschwitz, Bastian, 2015. "Biased Shorts: Stock Market Implications of Short Sellers? Disposition Effect," CEPR Discussion Papers 10535, C.E.P.R. Discussion Papers.
    4. von Beschwitz, Bastian & Massa, Massimo, 2020. "Biased short: Short sellers' disposition effect and limits to arbitrage," Journal of Financial Markets, Elsevier, vol. 49(C).
    5. Paola Stolfi & Mauro Bernardi & Lea Petrella, 2018. "The sparse method of simulated quantiles: An application to portfolio optimization," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 72(3), pages 375-398, August.
    6. Massimo Massa & Bastian von Beschwitz, 2015. "Biased Shorts: Short sellers’ Disposition Effect and Limits to Arbitrage," International Finance Discussion Papers 1147, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    Keywords

    downside-risk; optimal asset allocation;

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