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Consistencia de la evaluación de desempeño de inversiones financieras: Pruebas de dominación estocástica versus índices media-varianza
[Consistency in the evaluation of financial investment performance: Mean-variance versus stochastic dominance tests]

Author

Listed:
  • Pinto, Cristian F.
  • Acuña, Andres A.

Abstract

In this paper we analize the consistency of financial indexes and the ordering of investments based on the mean-variance and the stochastic dominance (SD) approaches. We take 47 mutual funds from the Chilean financial market in order to compute several algorithms that enable us to verify stochastic dominance relationships in their first (FSD), second (SSD), and third order (TSD). We found evidence that both approaches generate similar sets of efficient investments. However, there are important dissimilarities between the rankings elaborated according the mean-variance and the TSD criteria.

Suggested Citation

  • Pinto, Cristian F. & Acuña, Andres A., 2011. "Consistencia de la evaluación de desempeño de inversiones financieras: Pruebas de dominación estocástica versus índices media-varianza
    [Consistency in the evaluation of financial investment perform
    ," MPRA Paper 31301, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:31301
    as

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    References listed on IDEAS

    as
    1. Sharpe, William F., 1967. "Portfolio Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 2(02), pages 76-84, June.
    2. Robert J. Aumann & Roberto Serrano, 2008. "An Economic Index of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 810-836, October.
    3. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119-119.
    4. Chen, Zhiwu & Knez, Peter J, 1996. "Portfolio Performance Measurement: Theory and Applications," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 511-555.
    5. Porter, R. Burr & Wart, James R. & Ferguson, Donald L., 1973. "Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(01), pages 71-81, January.
    6. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Oxford University Press, vol. 36(3), pages 335-346.
    7. Levy, Haim, 1973. "Stochastic Dominance Among Log-Normal Prospects," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 601-614, October.
    8. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    9. Burton G. Malkiel, 2003. "The Efficient Market Hypothesis and Its Critics," Journal of Economic Perspectives, American Economic Association, vol. 17(1), pages 59-82, Winter.
    10. Grinblatt, Mark & Titman, Sheridan & Wermers, Russ, 1995. "Momentum Investment Strategies, Portfolio Performance, and Herding: A Study of Mutual Fund Behavior," American Economic Review, American Economic Association, vol. 85(5), pages 1088-1105, December.
    11. Porter, R Burr & Gaumnitz, Jabk E, 1972. "Stochastic Dominance vs. Mean-Variance Portfolio Analysis: An Empirical Evaluation," American Economic Review, American Economic Association, vol. 62(3), pages 438-446, June.
    12. Christoffersen, Peter & Hahn, Jinyong & Inoue, Atsushi, 2001. "Testing and comparing Value-at-Risk measures," Journal of Empirical Finance, Elsevier, vol. 8(3), pages 325-342, July.
    13. Christian Andrew Johnson, 2000. "Métodos de Evaluación del Riesgo para Portafolios de Inversión," Working Papers Central Bank of Chile 67, Central Bank of Chile.
    14. Mark Grinblatt & Sheridan Titman, "undated". "Portfolio Performance Evaluation: Old Issues and New Insights," Rodney L. White Center for Financial Research Working Papers 22-88, Wharton School Rodney L. White Center for Financial Research.
    15. Levy, Haim, 1973. "Stochastic Dominance, Efficiency Criteria, and Efficient Portfolios: The Multi-Period Case," American Economic Review, American Economic Association, vol. 63(5), pages 986-994, December.
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    More about this item

    Keywords

    portfolio; risk; Sharpe index; stochastic dominance;

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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