Portfolio selection subject to experts' judgments
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.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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, 09.
- 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.
- Lawrence R. Glosten & Paul R. Milgrom, 1983. "Bid, Ask and Transaction Prices in a Specialist Market with Heterogeneously Informed Traders," Discussion Papers 570, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Lubo Pástor, .
"Portfolio Selection and Asset Pricing Models,"
CRSP working papers
498, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- 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 143-62.
- Jarrow, Robert A, 1980. " Heterogeneous Expectations, Restrictions on Short Sales, and Equilibrium Asset Prices," Journal of Finance, American Finance Association, vol. 35(5), pages 1105-13, December.
- 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.
- 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 763-97, July.
- Bartholdy, Jan & Peare, Paula, 2002.
"Unbiased Estimation of Expected Return Using CAPM,"
Finance Working Papers
02-11, University of Aarhus, Aarhus School of Business, Department of Business Studies.
- Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
- R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages B141-B164, December.
- Dubois, Didier & Prade, Henri, 1989. "Fuzzy sets, probability and measurement," European Journal of Operational Research, Elsevier, vol. 40(2), pages 135-154, May.
- 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 351-60, December.
- 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 177-83, March.
- 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 659-96.
- Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
- Merton, Robert C., 1987.
"A simple model of capital market equilibrium with incomplete information,"
1869-87., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- 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.
- Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
- 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.
- 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.
- 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.
- 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.
- Ross, Stephen A., 1978. "Mutual fund separation in financial theory--The separating distributions," Journal of Economic Theory, Elsevier, vol. 17(2), pages 254-286, April.
- 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.
- 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.
- 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 479-86, June.
- 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.
- 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.
- Levy, Haim, 1983. "The Capital Asset Pricing Model: Theory and Empiricism," Economic Journal, Royal Economic Society, vol. 93(369), pages 145-65, March.
When requesting a correction, please mention this item's handle: RePEc:eee:finana:v:17:y:2008:i:5:p:1036-1054. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If references are entirely missing, you can add them using this form.