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A GMM Test for SSD Efficiency

Author

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  • Post, G.T.
  • Versijp, P.J.P.M.

Abstract

We develop an empirical test for Second-order Stochastic Dominance (SSD) efficiency of a given investment portfolio relative to all possible portfolios formed from a set of assets. Contrary to the Linear Programming test of Post, Thierry, 2003, Empirical tests for stochastic dominance efficiency, Journal of Finance 58, 1905—1932, our test is embedded in the Generalized Method of Moments (GMM) framework. The GMM test has superior statistical properties compared to the original LP test. Using this test, we demonstrate that the anomalous size effect can be explained with risk not captured by variance alone. However, the market portfolio remains SSD inefficient relative to value and momentum portfolios due to the overvaluation of growth stocks and past losers.

Suggested Citation

  • Post, G.T. & Versijp, P.J.P.M., 2004. "A GMM Test for SSD Efficiency," ERIM Report Series Research in Management ERS-2004-024-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:1426
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    References listed on IDEAS

    as
    1. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    2. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    3. Ferson, Wayne E. & Foerster, Stephen R., 1994. "Finite sample properties of the generalized method of moments in tests of conditional asset pricing models," Journal of Financial Economics, Elsevier, vol. 36(1), pages 29-55, August.
    4. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-280, July.
    5. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    6. Narasimhan Jegadeesh & Sheridan Titman, 2001. "Profitability of Momentum Strategies: An Evaluation of Alternative Explanations," Journal of Finance, American Finance Association, vol. 56(2), pages 699-720, April.
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    More about this item

    Keywords

    B/M and momentum effects; asset pricing; generalized method of moments; market portfolio efficiency; size; stochastic dominance;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics

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