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Parametric Portfolio Policies: Exploiting Characteristics in the Cross Section of Equity Returns

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  • Brandt, Michael W
  • Santa-Clara, Pedro
  • Valkanov, Rossen
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    Abstract

    We propose a novel approach to optimizing portfolios with large numbers of assets. We model directly the portfolio weight in each asset as a function of the asset’s characteristics. The coefficients of this function are found by optimizing the investor’s average utility of the portfolio’s return over the sample period. Our approach is computationally simple, easily modified and extended, produces sensible portfolio weights, and offers robust performance in and out of sample. In contrast, the traditional approach of first modeling the joint distribution of returns and then solving for the corresponding optimal portfolio weights is not only diffcult to implement for a large number of assets but also yields notoriously noisy and unstable results. Our approach also provides a new test of the portfolio choice implications of equilibrium asset pricing models. We present an empirical implementation for the universe of all stocks in the CRSP-Compustat dataset, exploiting the size, value, and momentum anomalies.

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    Bibliographic Info

    Paper provided by Anderson Graduate School of Management, UCLA in its series University of California at Los Angeles, Anderson Graduate School of Management with number qt4ft420b6.

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    Date of creation: 08 Mar 2005
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    Handle: RePEc:cdl:anderf:qt4ft420b6

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    1. Yacine Ait-Sahalia & Michael W. Brandt, 2001. "Variable Selection for Portfolio Choice," NBER Working Papers 8127, National Bureau of Economic Research, Inc.
    2. Ravi Jagannathan & Zhenyu Wang, 1996. "The conditional CAPM and the cross-section of expected returns," Staff Report 208, Federal Reserve Bank of Minneapolis.
    3. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    4. John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, 06.
    5. Campbell, John, 1991. "A Variance Decomposition for Stock Returns," Scholarly Articles 3207695, Harvard University Department of Economics.
    6. Tepla, Lucie, 2001. "Optimal investment with minimum performance constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1629-1645, October.
    7. Michael W. Brandt & Pedro Santa-Clara, 2004. "Dynamic Portfolio Selection by Augmenting the Asset Space," NBER Working Papers 10372, National Bureau of Economic Research, Inc.
    8. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
    9. Benartzi, Shlomo & Thaler, Richard H, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, MIT Press, vol. 110(1), pages 73-92, February.
    10. Campbell, John & Vuolteenaho, Tuomo, 2004. "Bad Beta, Good Beta," Scholarly Articles 3122489, Harvard University Department of Economics.
    11. Jorion, Philippe, 1986. "Bayes-Stein Estimation for Portfolio Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 21(03), pages 279-292, September.
    12. Lubo Pástor, . "Portfolio Selection and Asset Pricing Models," CRSP working papers 356, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
    13. Grossman, S.J. & Vila, J-L., 1988. "Portfolio Insurance In Complete Markets: A Note," Papers 94, Princeton, Department of Economics - Financial Research Center.
    14. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September.
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    16. Ravi Jagannathan & Tongshu Ma, 2002. "Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps," NBER Working Papers 8922, National Bureau of Economic Research, Inc.
    17. Alexander, Gordon J. & Baptista, Alexandre M., 2002. "Economic implications of using a mean-VaR model for portfolio selection: A comparison with mean-variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1159-1193, July.
    18. Kent Daniel & Sheridan Titman, 1996. "Evidence on the Characteristics of Cross Sectional Variation in Stock Returns," NBER Working Papers 5604, National Bureau of Economic Research, Inc.
    19. Keim, Donald B. & Stambaugh, Robert F., 1986. "Predicting returns in the stock and bond markets," Journal of Financial Economics, Elsevier, vol. 17(2), pages 357-390, December.
    20. Chan, Louis K. C. & Karceski, Jason & Lakonishok, Josef, 1998. "The Risk and Return from Factors," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(02), pages 159-188, June.
    21. Brandt, Michael W. & Santa-Clara, Pedro, 2004. "Dynamic Portfolio Selection by Augmenting the Asset Space," University of California at Los Angeles, Anderson Graduate School of Management qt632436gt, Anderson Graduate School of Management, UCLA.
    22. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
    23. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02.
    24. Hodrick, Robert J, 1992. "Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 357-86.
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