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Portfolio selection subject to experts' judgments

Author

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  • Smimou, K.
  • Bector, C.R.
  • Jacoby, G.

Abstract

Since Markowitz [Markowitz, H. M. (1952). Portfolio selection. The Journal of Finance, 7, 77-91.], mean-variance theory has assumed that risky-asset returns to be random variables. The theory deals with this uncertainty by further assuming that investors hold homogeneous beliefs regarding the probability distribution governing return uncertainty. While the theory deals with return uncertainty, it fails to address measurement imprecision. In his original work, Markowitz recognized the need to combine randomness with heterogeneous expert judgment resulting in such imprecision. The main objective contributions of the paper are (i) to explore the implications of fuzzy return indeterminacy on mean-variance optimal portfolio choice, (ii) to use bid-ask spread as a proxy measure of the indeterminacy or "fuzzy" nature of random returns, and (iii) to introduce a brief, self-contained glimpse of empirical representations to practitioners unfamiliar with the fuzzy modeling field. Exposition, such as this one, is expected to open new collaborations between other branches of fuzzy mathematics and asset-pricing theories.

Suggested Citation

  • Smimou, K. & Bector, C.R. & Jacoby, G., 2008. "Portfolio selection subject to experts' judgments," International Review of Financial Analysis, Elsevier, vol. 17(5), pages 1036-1054, December.
  • Handle: RePEc:eee:finana:v:17:y:2008:i:5:p:1036-1054
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    References listed on IDEAS

    as
    1. Koski, Jennifer Lynch, 1998. "Measurement Effects and the Variance of Returns after Stock Splits and Stock Dividends," Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 143-162.
    2. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    3. Ross, Stephen A, 1977. "The Capital Asset Pricing Model (CAPM), Short-Sale Restrictions and Related Issues," Journal of Finance, American Finance Association, vol. 32(1), pages 177-183, March.
    4. Dubois, Didier & Prade, Henri, 1989. "Fuzzy sets, probability and measurement," European Journal of Operational Research, Elsevier, vol. 40(2), pages 135-154, May.
    5. Amihud, Yakov & Mendelson, Haim, 1989. " The Effects of Beta, Bid-Ask Spread, Residual Risk, and Size on Stock Returns," Journal of Finance, American Finance Association, vol. 44(2), pages 479-486, June.
    6. Bartholdy, Jan & Peare, Paula, 2003. "Unbiased estimation of expected return using CAPM," International Review of Financial Analysis, Elsevier, vol. 12(1), pages 69-81.
    7. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    8. Glosten, Lawrence R. & Harris, Lawrence E., 1988. "Estimating the components of the bid/ask spread," Journal of Financial Economics, Elsevier, vol. 21(1), pages 123-142, May.
    9. Abhyankar, Abhay & Ho, Keng-Yu, 2007. "Long-horizon event studies and event firm portfolio weights: Evidence from U.K. rights issues re-visited," International Review of Financial Analysis, Elsevier, vol. 16(1), pages 61-80.
    10. Koski, Jennifer Lynch & Michaely, Roni, 2000. "Prices, Liquidity, and the Information Content of Trades," Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 659-696.
    11. Stephen A. Ross, 2005. "Mutual Fund Separation in Financial Theory—The Separating Distributions," World Scientific Book Chapters,in: Theory Of Valuation, chapter 10, pages 309-356 World Scientific Publishing Co. Pte. Ltd..
    12. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    13. Levy, Haim, 1983. "The Capital Asset Pricing Model: Theory and Empiricism," Economic Journal, Royal Economic Society, vol. 93(369), pages 145-165, March.
    14. Voros, J., 1986. "Portfolio analysis--an analytic derivation of the efficient portfolio frontier," European Journal of Operational Research, Elsevier, vol. 23(3), pages 294-300, March.
    15. Merton, Robert C, 1987. " A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
    16. Cheng Lee & Gwo-Hshiung Tzeng & Shin-Yun Wang, 2005. "A Fuzzy Set Approach for Generalized CRR Model: An Empirical Analysis of S&P 500 Index Options," Review of Quantitative Finance and Accounting, Springer, vol. 25(3), pages 255-275, November.
    17. Lubos Pástor, 2000. "Portfolio Selection and Asset Pricing Models," Journal of Finance, American Finance Association, vol. 55(1), pages 179-223, February.
    18. Copeland, Thomas E & Friedman, Daniel, 1987. " The Effect of Sequential Information Arrival on Asset Prices: An Experimental Study," Journal of Finance, American Finance Association, vol. 42(3), pages 763-797, July.
    19. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
    20. Kee, H. Chung & McInish, Thomas H. & Wood, Robert A. & Wyhowski, Donald J., 1995. "Production of information, information asymmetry, and the bid-ask spread: Empirical evidence from analysts' forecasts," Journal of Banking & Finance, Elsevier, vol. 19(6), pages 1025-1046, September.
    21. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    22. Syau, Yu-Ru & Hsieh, Hai-Teh & Lee, E Stanley, 2001. "Fuzzy Numbers in the Credit Rating of Enterprise Financial Condition," Review of Quantitative Finance and Accounting, Springer, vol. 17(4), pages 351-360, December.
    23. Kane, Stephen A., 1999. "What happened to the utility functions?: Imprecise expectations of security prices," International Review of Financial Analysis, Elsevier, vol. 8(2), pages 165-175, June.
    24. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
    25. Jarrow, Robert A, 1980. " Heterogeneous Expectations, Restrictions on Short Sales, and Equilibrium Asset Prices," Journal of Finance, American Finance Association, vol. 35(5), pages 1105-1113, December.
    26. Heinkel, Robert & Kraus, Alan, 1988. "Measuring Event Impacts in Thinly Traded Stocks," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(01), pages 71-88, March.
    27. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    28. Kroll, Yoram & Levy, Haim, 1980. "Sampling Errors and Portfolio Efficient Analysis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 15(03), pages 655-688, September.
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    Cited by:

    1. Rachida Hennani & Michel Terraza, 2012. "Value-at-Risk stressée chaotique d’un portefeuille bancaire," Working Papers 12-23, LAMETA, Universitiy of Montpellier, revised Sep 2012.
    2. Matus Medo & Chi Ho Yeung & Yi-Cheng Zhang, 2008. "How to quantify the influence of correlations on investment diversification," Papers 0805.3397, arXiv.org, revised Feb 2009.
    3. Mbairadjim Moussa, A. & Sadefo Kamdem, J. & Shapiro, A.F. & Terraza, M., 2014. "CAPM with fuzzy returns and hypothesis testing," Insurance: Mathematics and Economics, Elsevier, vol. 55(C), pages 40-57.
    4. Chen, Wei, 2015. "Artificial bee colony algorithm for constrained possibilistic portfolio optimization problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 125-139.
    5. Sadefo Kamdem, J. & Mbairadjim Moussa, A. & Terraza, M., 2012. "Fuzzy risk adjusted performance measures: Application to hedge funds," Insurance: Mathematics and Economics, Elsevier, vol. 51(3), pages 702-712.
    6. Mbairadjim Moussa, A. & Sadefo Kamdem, J. & Terraza, M., 2014. "Fuzzy value-at-risk and expected shortfall for portfolios with heavy-tailed returns," Economic Modelling, Elsevier, vol. 39(C), pages 247-256.
    7. Medo, Matús & Yeung, Chi Ho & Zhang, Yi-Cheng, 2009. "How to quantify the influence of correlations on investment diversification," International Review of Financial Analysis, Elsevier, vol. 18(1-2), pages 34-39, March.

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