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Capital Growth and the Mean-Variance Approach to Portfolio Selection

Published online by Cambridge University Press:  19 October 2009

Extract

Three main approaches to the problem of portfolio selection may be discerned in the literature. The first of these is the mean-variance approach, pioneered by Markowitz [21], [22], and Tobin [30]. The second approach is that of chance-constrained programming, apparently initiated by Naslund and Whinston [26]. The third approach, Latané [19] and Breiman [6], [7], has its origin in capital growth considerations. The purpose of this paper is to contrast the mean-variance model, by far the most well-known and most developed model of portfolio selection, with the capital growth model, undoubtedly the least known. In so doing, we shall find the mean-variance model to be severely compromised by the capital growth model in several significant respects.

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

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References

[1]Arrow, Kenneth, Aspects of the Theory of Risk-Bearing (Helsinki: Yrjö Jahnssonin Sääatiö, 1965).Google Scholar
[2]Arrow, Kenneth, “Comment on Duesenberry's ‘The Portfolio Approach to the Demand for Money and Other Assets,’” Review of Economics and Statistics, Supplement (February 1963).CrossRefGoogle Scholar
[3[Baumol, William, “An Expected Gain-Confidence Limit Criterion for Portfolio Selection,” Management Science (October 1963).CrossRefGoogle Scholar
[4]Bernoulli, Daniel, “Exposition of a New Theory on the Measurement of Risk,” translated by Louise Sommer, Econometrica, (January 1954).CrossRefGoogle Scholar
[5]Borch, Karl, “A Note on Utility and Attitudes to Risk,” Management Science (July 1963).Google Scholar
[6]Breiman, Leo, “Investment Policies for Expanding Business Optimal in a Long-Run Sense,” Naval Research Logistics Quarterly (December 1960).CrossRefGoogle Scholar
[7]Breiman, Leo, “Optimal Gambling Systems for Favorable Games,” Fourth Berkeley Symposium on Mathematical Statistics and Probability (Berkeley: University of California Press, 1961).Google Scholar
[8]Brown, George, unpublished notes, 1964.Google Scholar
[9]Cohen, K., and Pogue, J., “An Empirical Evaluation of Alternative Portfolio Selection Models,” Journal of Business (April 1967).CrossRefGoogle Scholar
[10]Cootner, Paul, ed. The Random Character of Stock Market Prices (Cambridge, Mass.: MIT Press, 1964).Google Scholar
[11]Fama, Eugene, “The Behavior of Stock Market Prices,” Journal of Business (January 1965).CrossRefGoogle Scholar
[12]Farrar, Donald, The Investment Decision under Uncertainty (Englewood Cliffs, New Jersey: Prentice–Hall, Inc., 1962).Google Scholar
[13]Freimer, Marshall, and Gordon, Myron, “Investment Behavior with Utility A Concave Function of Wealth,” eds., Borch, K. and Mossin, J., Risk and Uncertainty (New York: St. Martin's Press, 1968).Google Scholar
[14]Friend, I., and Vickers, D., “Portfolio Selection and Investment Performance,” Journal of Finance (September 1965).CrossRefGoogle Scholar
[15]Hakansson, Nils, “Comment on Borch, Feldstein, and Tobin,” Working Paper No. 278 (Berkeley: University of California, Center for Research in Management Science, September 1969).Google Scholar
[16]Hakansson, Nils, “Optimal Investment and Consumption Strategies under Risk for a class of Utility Functions,” Econometrica (September 1970).CrossRefGoogle Scholar
[17]Hakansson, Nils, “Optimal Investment and Consumption Strategies under Risk, An Uncertain Lifetime, and Insurance,” International Economic Review (October 1969).CrossRefGoogle Scholar
[18]Hakansson, Nils, “Risk Disposition and the Separation Property in Portfolio Selection,” Journal of Financial and Quantitative Analysis (December 1969).CrossRefGoogle Scholar
[19]Latané, H., “Criteria for Choice among Risky Ventures,” Journal of Political Economy (April 1959).CrossRefGoogle Scholar
[20]Lintner, John, “The Valuation of Risk. Assets and the Selection of Risk Investments in Stock Portfolios and Capital Budgets,” Review of Economics and Statistics (February 1965).CrossRefGoogle Scholar
[21]Markowitz, Harry, “Portfolio Selection,” Journal of Finance (March 1952).CrossRefGoogle Scholar
[22]Markowitz, Harry, Portfolio Selection (New York: John Wiley and Sons, 1959).Google Scholar
[23]Markowitz, Harry, “The Optimization of a Quadratic Function Subject to Linear Constraints,” Naval Research Logistics Quarterly (March–June 1956).CrossRefGoogle Scholar
[24]Massé, Pierre, Optimal Investment Decisions (Englewood Cliffs, New Jersey: Prentice-Hall, 1962).Google Scholar
[25]Mossin, Jan, “Optimal Multiperiod Portfolio Policies,” Journal of Business (April 1968).CrossRefGoogle Scholar
[26]Naslund, B., and Whinston, A., “A Model of Multiperiod Investment under Uncertainty,” Management Science (January 1962).CrossRefGoogle Scholar
[27]Pratt, John, “Risk Aversion in the Small and in the Large,” Econometrica (January–April 1964).CrossRefGoogle Scholar
[28]Pye, Gordon, “Portfolio Selection and Security Prices,” Review of Economics and Statistics (February 1967).CrossRefGoogle Scholar
[29]Savage, Leonard, The Foundations of Statistics (New York: John Wiley and Sons, 1954).Google Scholar
[30]Tobin, James, “Liquidity Preference as Behavior Toward Risk,” Review of Economic Studies (February 1958).CrossRefGoogle Scholar
[31]Tobin, James, “Comment on Borch and Feldstein,” Review of Economic Studies (January 1969).CrossRefGoogle Scholar
[32]Tobin, James, “The Theory of Portfolio Selection,” The Theory of Interest Rates, eds., Hahn, F. H. and Breckling, F. P. R. (New York: The MacMillan Company, 1965).Google Scholar
[33]von Neumann, John, and Morgenstern, Oskar, Theory of Games and Economic Behavior, 2nd ed. (Princeton, New Jersey: Princeton University Press, 1947).Google Scholar