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A Stochastic Dominance Approach to Spanning

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  • Post, G.T.

Abstract

We develop a Stochastic Dominance methodology to analyze if new assets expand the investment possibilities for rational nonsatiable and risk-averse investors. This methodology avoids the simplifying assumptions underlying the traditional mean-variance approach to spanning. The methodology is applied to analyze the stock market behavior of small firms in the month of January. Our findings suggest that the previously observed January effect is remarkably robust with respect to simplifying assumptions regarding the return distribution.

Suggested Citation

  • Post, G.T., 2002. "A Stochastic Dominance Approach to Spanning," ERIM Report Series Research in Management ERS-2002-01-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:163
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    References listed on IDEAS

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    1. Reinganum, Marc R., 1983. "The anomalous stock market behavior of small firms in January : Empirical tests for tax-loss selling effects," Journal of Financial Economics, Elsevier, vol. 12(1), pages 89-104, June.
    2. Larsen, Glen A, Jr & Resnick, Bruce G, 1996. "Refining the Bootstrap Method of Stochastic Dominance Analysis: The Case of the January Effect," Review of Quantitative Finance and Accounting, Springer, vol. 7(1), pages 65-79, July.
    3. Huberman, Gur & Kandel, Shmuel, 1987. "Mean-Variance Spanning," Journal of Finance, American Finance Association, vol. 42(4), pages 873-888, September.
    4. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
    5. Keim, Donald B., 1983. "Size-related anomalies and stock return seasonality : Further empirical evidence," Journal of Financial Economics, Elsevier, vol. 12(1), pages 13-32, June.
    6. Kroll, Yoram & Levy, Haim, 1980. "Sampling Errors and Portfolio Efficient Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(3), pages 655-688, September.
    7. Bigelow, John Payne, 1993. "Consistency of mean-variance analysis and expected utility analysis : A complete characterization," Economics Letters, Elsevier, vol. 43(2), pages 187-192.
    8. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, June.
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    10. Ray D. Nelson & Rulon D. Pope, 1991. "Bootstrapped Insights into Empirical Applications of Stochastic Dominance," Management Science, INFORMS, vol. 37(9), pages 1182-1194, September.
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    Cited by:

    1. Iñaki R. Longarela, 2016. "A Characterization of the SSD-Efficient Frontier of Portfolio Weights by Means of a Set of Mixed-Integer Linear Constraints," Management Science, INFORMS, vol. 62(12), pages 3549-3554, December.

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    More about this item

    Keywords

    linear programming; portfolio evaluation; portfolio selection; spanning; stochastic dominance;
    All these keywords.

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics

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