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Modern Portfolio Theory: Some Main Results

Published online by Cambridge University Press:  29 August 2014

Heinz H. Müller*
Affiliation:
University of Zürich
*
Institut für Empirische Wirtschaftsforschung, Universität Zürich, Kleinstrasse 15, CH-8008 Zürich, Switzerland.
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Abstract

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This article summarizes some main results in modern portfolio theory. First, the Markowitz approach is presented. Then the capital asset pricing model is derived and its empirical testability is discussed. Afterwards Neumann–Morgenstern utility theory is applied to the portfolio problem. Finally, it is shown how optimal risk allocation in an economy may lead to portfolio insurance.

Type
Invited Papers
Copyright
Copyright © International Actuarial Association 1988

References

Black, F. (1972). Capital market equilibrium with restricted borrowing, Journal of Business 45, 444454.CrossRefGoogle Scholar
Black, F., Jensen, M. C., and Scholes, M. (1972). The capital asset pricing model: some empirical tests, reprinted in Jensen, M. C., ed., Studies in the Theory of Capital Market. Praeger, New York, 1972, 79124.Google Scholar
Blume, M. and Friend, I. (1973). A new look at the capital asset pricing model, Journal of Finance, March 1973, 1934.CrossRefGoogle Scholar
Borch, K. (1960). The safety loading of insurance premiums, Skandinansk Akluarietidskrift 43, 163184.Google Scholar
Cass, D. and Stiglitz, J. E. (1970). The structure of investor preferences and asset returns, and separability in portfolio allocation: a contribution to the pure theory of mutual funds, Journal of Economic Theory 2, 122160.CrossRefGoogle Scholar
Copeland, T. E. and Weston, J. F. (1988). Financial Theory and Corporate Policy. Addison-Wesley Publishing Company, third edition.Google Scholar
Fama, E. F. and Macbeth, J. (1973). Risk, return and equilibrium: empirical test, Journal of Political Economy, May/June 1973, 607635.CrossRefGoogle Scholar
Hakansson, N. H. (1969). Risk disposition and the separation property in portfolio selection, Journal of Financial and Quantitative Analysis, 401416.CrossRefGoogle Scholar
Harrington, D. R. (1987). Modern Portfolio Theory, the Capital Asset Pricing Model and Arbitrage Pricing Theory: a user's guide. Prentice-Hall, Inc., second edition.Google Scholar
Ingersoll, J. E. (1987). Theory of Financial Decision Making, Rowman & Littlefield, New Jersey.Google Scholar
Leland, H. E. (1980). Who should buy portfolio insurance?, Journal of Finance 35, May 1980, 581594.CrossRefGoogle Scholar
Lintner, J. (1965). The valuation of risky assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics, February 1965, 1337.Google Scholar
Markowitz, H. (1952). Portfolio selection, Journal of Finance 7, 7791.Google Scholar
Merton, R. C. (1982). On the microeconomic theory of investment under uncertainty. In Handbook of Mathematical Economics, Vol. II, North-Holland, Amsterdam.Google Scholar
Roll, R. (1977). A critique of the asset pricing theory's tests, Journal of Financial Economics, March 1977, 129176.CrossRefGoogle Scholar
Ross, S. A. (1978). Mutual fund separation in financial theory: the separating distributions, Journal of Economic Theory 17, 254286.CrossRefGoogle Scholar
Shanken, J. (1987). Multivariate proxies and asset pricing relations: living with the Roll critique, Journal of Financial Economics 18, 91110.CrossRefGoogle Scholar
Sharpe, W. F. (1963). A simplified model for portfolio analysis, Management Science, January 1963, 277293.Google Scholar
Sharpe, W. F. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk, Journal of Finance, September 1964, 425442.Google Scholar