Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-24T19:05:14.541Z Has data issue: false hasContentIssue false

Estimation Risk in the Portfolio Selection Model

Published online by Cambridge University Press:  19 October 2009

Extract

The approach of selecting a portfolio of stocks on the basis of expected return and variance was introduced by Markowitz [18] in 1952 and subsequently was more fully developed by him [19] in 1959. Since this time, there has been considerable research either directly concerned with, or related to, the Markowitz model. The utility implications of his assumption that an investor chooses a portfolio solely on the basis of expected return and variance (where variance is identified with risk) have been studied, [1], [A], [22], and [31]. A simplified method of solving for the efficient set of portfolios under the assumption of a regression structure has been developed by Sharpe [26], and approximation methods have been suggested [25] and [29]. Empirical tests (with partially contradictory conclusions) of portfolio selection theory are described in [5], [7], [8], [20], and [27]. Studies of economic questions (such as liquidity preference, equilibrium stock prices, substitutability of risky assets, etc.), as formulated within the portfolio model, can be found in [10], [11], [13], [14], [16], [23], and [28]. A related portfolio selection approach, based on the assumption of a Pareto underlying distribution, has been suggested by Fama [6]. A modification by Baumol [2] introduced a confidence limit criterion. Also, some initial attempts have been made at deriving related adaptive models of portfolio selection, [21], [30].

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1971

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Arrow, K., “Comment on the Portfolio Approach to the Demand for Money and Other Assets,” Review of Economics and Statistics, XLV Supplement(February 1963).Google Scholar
[2]Baumol, W., “An Expected Gain — Confidence Limit Criterion for Portfolio Selection,” Management Science, 10 (October 1963), pp. 174–182.CrossRefGoogle Scholar
[3]Borch, K., “Equilibrium in a Reinsurance Market,” Econometrica, 30 (July 1962), pp. 424444.CrossRefGoogle Scholar
[4]Borch, K., “A Note on Utility and Attitudes to Risk,” Management Science, 9 (July 1963), pp. 697700.CrossRefGoogle Scholar
[5]Cohen, K.J., and Pogue, J.A., “An Empirical Evaluation of Alternative Portfolio Selection Models,” Journal of Business, 40 (April 1967), pp. 166194.CrossRefGoogle Scholar
[6]Fama, E.F., “Portfolio Analysis in a Stable Paretian Market,” Management Science, 11 (January 1965), pp. 404419.CrossRefGoogle Scholar
[7]Farrar, D.E., The Investment Decision under Uncertainty (Englewood Cliffs, New Jersey: Prentice-Hall, 1961).Google Scholar
[8]Friend, I., and Vickers, D., “Portfolio Selection and Investment Performance,” Journal of finance, XX (September 1965), p. 412.Google Scholar
[9]Graybill, F.A., An Introduction to Linear Statistical Models, Volume I (New York: McGraw-Hill, 1961).Google Scholar
[10]Hastie, K. L., “The Determination of Optimal Investment Policy,” Management Science, 13 (August 1967), pp. B–757775.CrossRefGoogle Scholar
[11]Hester, D.D., and Tobin, J., Risk Aversion and Portfolio Choice, Cowles Foundation, Monograph No. 19 (New York: John Wiley and Sons, 1967).Google Scholar
[12]Hester, D.D., “Efficient Portfolios with Short Sales and Margin Holdings,” Nester, Donald D. and Tobin, James (eds) Risk Aversion and Portfolio Choice, 11, Chapter 3, pp. 4151.Google Scholar
[13]Hicks, J.R., “Liquidity,” The Economic Journal, LXXII (December 1962), pp. 787803.CrossRefGoogle Scholar
[14]Hirshleifer, J., “Investment Decisions under Uncertainty,”Papers and proceedings of the Seventy-Sixth Annual Meeting of the American Economic Association(December 1963), pp. 7786.Google Scholar
[15]King, B. J., “Market and Industry Factors in Stock Price Behavior,” Journal of Business, 39 (January 1966), pp. 139191.CrossRefGoogle Scholar
[16]Lintner, J., “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets,” Review of Economics and Statistics, XLVII (February 1965), pp. 1337.Google Scholar
[17]Mao, C. J., and Sarndal, C.E., “A Decision Theory Approach to Portfolio Selection,” Management Science, 12 (April 1966), pp. B–323334.CrossRefGoogle Scholar
[18]Markowitz, H., “Portfolio Selection,” Journal of Finance, VI (March 1952), pp. 7791.Google Scholar
[19]Markowitz, H., Portfolio Selection, Efficient Diversification of Investments (New York: John Wiley and Sons, Inc., 1959).Google Scholar
[20]Michaelson, J., and Gosbay, R., “Portfolio Selection in Financial Intermediaries: A New Approach,” Journal of Finance and Quantitative Analysis, II (June 1967), pp. 166200.CrossRefGoogle Scholar
[21]Pogue, J.A., “An Adaptive Model for Investment Management” (unpublished manuscript).Google Scholar
[22]Pratt, J., Raiffa, H. and Schlaifer, R., Introduction to Statistical Decision Theory (New York: McGraw-Hill, 1963).Google Scholar
[23]Pye, G., “Portfolio Selection and Security Prices,” Review of Economics and Statistics, XLIV (February 1967), pp. 111115.CrossRefGoogle Scholar
[24]Raiffa, H., and Schlaifer, R., Applied Statistical Decision Theory (Boston: Harvard University, 1961).Google Scholar
[25]Renshaw, E.F., “Portfolio Balance Models in Perspective: Some Generalizations That Can Be Derived from the Two-Asset Case,” Journal of Financial and Quantitative Analysis, II (June 1967).Google Scholar
[26]Sharpe, W.F., “A Simplified Model for Portfolio Analysis,” Management Science, IX (January 1963), pp. 277293.CrossRefGoogle Scholar
[27]Sharpe, W.F., “Mathematical Investment Portfolio Selection: Some Early Results,” University of Washington Business Review (April 1963), pp. 1427.Google Scholar
[28]Sharpe, W.F., “Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk,” Journal of Finance, XIX (September 1964), pp. 499511.Google Scholar
[29]Sharpe, W.F., “A Linear Programming Algorithm for Mutual Fund Portfolio Selection,” Management Science, 19, (March 1967), pp. 499511.CrossRefGoogle Scholar
[30]Smith, K.V., “A Transition Model for Portfolio Revision,” Journal of Finance, XXII (September 1967), pp. 425439.Google Scholar
[31]Tobin, J., “Liquidity Preference As Behavior Towards Risk,” Review of Economics and Statistics, XXV (February 1958), pp. 6586.CrossRefGoogle Scholar