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On Portfolio Choice, Liquidity, and Short Selling: A Nonparametric Investigation

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Author Info
Eric Ghysels ()
João Pereira

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Abstract

This paper studies the time series effect of changes in liquidity on optimal portfolio allocations. Using a nonparametric approach, we are able to handle models that are analytically intractable. Specifically, we directly estimate optimal portfolio weights for a CRRA investor as functions of liquidity. Liquidity is measured by turnover, dollar volume, or price impact. We consider three different investment horizons: daily, weekly, and monthly. Using a sample of NYSE stocks from 1963-2000, we document a very interesting temporal dimension to the effects of changes in liquidity: whereas optimal weights are strongly increasing functions of liquidity at the very short daily and weekly horizons, they become decreasing functions of liquidity at longer monthly horizons. Overall, the dependence of optimal weights on liquidity is most noticeable for small stocks at short investment horizons. Finally, the optimal conditional portfolio weights documented in this paper are never negative, which may help explain the low level of short selling observed in the US stock market.

Nous estimons des décisions de choix de portefeuille en fonction de mesures de liquidité à l'aide de méthodes non paramétriques. Nous trouvons que les parts optimales de portefeuilles sont surtout influencées par la liquidité pour des horizons à court-terme. Par ailleurs, ces parts optimales sont toujours positives, ce qui pourrait expliquer le peu de vente à découvert observé sur le marché américain.

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Paper provided by CIRANO in its series CIRANO Working Papers with number 2003s-27.

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Date of creation: 01 May 2003
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Handle: RePEc:cir:cirwor:2003s-27

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Related research
Keywords: portfolio choice; liquidity; short-selling; choix de portefeuille; liquidité; vente à découvert;

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References listed on IDEAS
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  1. Ait-Sahalia, Y. & Brandt, M.W., 2001. "Variable Selection for Portfolio Choice," Papers 34, Manitoba - Department of Economics.
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  2. Inoue, Atsushi & Shintani, Mototsugu, 2006. "Bootstrapping GMM estimators for time series," Journal of Econometrics, Elsevier, vol. 133(2), pages 531-555, August. [Downloadable!] (restricted)
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  3. Brennan, Michael J. & Subrahmanyam, Avanidhar, 1996. "Market microstructure and asset pricing: On the compensation for illiquidity in stock returns," Journal of Financial Economics, Elsevier, vol. 41(3), pages 441-464, July. [Downloadable!] (restricted)
  4. Michael W. Brandt, 1999. "Estimating Portfolio and Consumption Choice: A Conditional Euler Equations Approach," Journal of Finance, American Finance Association, vol. 54(5), pages 1609-1645, October. [Downloadable!] (restricted)
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  6. Simon Gervais & Ron Kaniel & Dan Mingelgrin, . "The High Volume Return Premium," Rodney L. White Center for Financial Research Working Papers 01-99, Wharton School Rodney L. White Center for Financial Research. [Downloadable!]
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  7. Conrad, Jennifer S & Hameed, Allaudeen & Niden, Cathy, 1994. " Volume and Autocovariances in Short-Horizon Individual Security Returns," Journal of Finance, American Finance Association, vol. 49(4), pages 1305-29, September. [Downloadable!] (restricted)
  8. Rajnish Mehra & Edward C. Prescott, 2003. "The Equity Premium in Retrospect," NBER Working Papers 9525, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  9. Campbell, John Y & Grossman, Sanford J & Wang, Jiang, 1993. "Trading Volume and Serial Correlation in Stock Returns," The Quarterly Journal of Economics, MIT Press, vol. 108(4), pages 905-39, November. [Downloadable!] (restricted)
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  10. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December. [Downloadable!] (restricted)
  11. Allan Timmermann & Halbert White & Ryan Sullivan, 1998. "Data-Snooping, Technical Trading, Rule Performance and the Bootstrap," FMG Discussion Papers dp303, Financial Markets Group. [Downloadable!] (restricted)
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  12. Longstaff, Francis A, 2001. "Optimal Portfolio Choice and the Valuation of Illiquid Securities," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 14(2), pages 407-31.
  13. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January. [Downloadable!] (restricted)
  14. Lubos Pastor & Robert F. Stambaugh, 2001. "Liquidity Risk and Expected Stock Returns," NBER Working Papers 8462, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  15. Geczy, Christopher C. & Musto, David K. & Reed, Adam V., 2002. "Stocks are special too: an analysis of the equity lending market," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 241-269. [Downloadable!] (restricted)
  16. repec:att:wimass:19921 is not listed on IDEAS
  17. D'Avolio, Gene, 2002. "The market for borrowing stock," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 271-306. [Downloadable!] (restricted)
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