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The Heterogeneous Investment Horizon and the Capital Asset Pricing Model: Theory and Implications

Published online by Cambridge University Press:  06 April 2009

Abstract

This paper generalizes the risk-return relationship implied by the traditional capital asset pricing model with finite investment horizons. It examines the effect of heterogeneous investment horizons on the functional form of capital asset pricing and proposes a translog model for estimating the risk-return relationship. In addition, this paper contends that some empirical findings that are inconsistent with the traditional CAPM have resulted from misspecification of the CAPM by ignoring the discrepancy between the observed data periods and the true investment horizons. Finally, the paper shows that under various conditions, the translog model is a suitable function for estimating the relationship between risk and expected returns.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1990

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References

Bey, P. R., and Pinches, G. E.. “Additional Evidence of Heteroscedasticity in the Market Model.” Journal of Financial and Quantitative Analysis, 15 (06 1980), 299322.CrossRefGoogle Scholar
Brown, S. J.Heteroscedasticity in the Market Model: A Comment.” Journal of Business, 50 (01 1977), 8083.CrossRefGoogle Scholar
Caves, D. W., and Christensen, L. R.. “Global Properties of Flexible Functional Forms.” American Economic Review, 70 (06 1980), 422432.Google Scholar
Christensen, L. R.; Jorgenson, D. W.; and Lau, L. J.. “Transcendental Logarithmic Production Functions.” Review of Economics and Statistics, 55 (03 1973), 2845.CrossRefGoogle Scholar
Giaccotto, C, and Ali, M. M.. “Optimum Distribution-Free Tests and Further Evidence of Heteroscedasticity in the Market Model.” Journal of Finance, 37 (12 1982), 12471257.Google Scholar
Giaccotto, C., and Ali, M. M.. “Optimum Distribution-Free Tests and Further Evidence of Heteroscedasticity in the Market Model: A Reply.” Journal of Finance, 40 (06 1985), 607.Google Scholar
Gressis, N.; Philippatos, G. C.; and Hayya, J.. “Multiperiod Portfolio Analysis and the Inefficiency of the Market Portfolio.” Journal of Finance, 31 (09 1976), 11151126.CrossRefGoogle Scholar
Gilster, J. A.Capital Market Equilibrium with Divergent Investment Horizon Length Assumptions.” Journal of Financial and Quantitative Analysis, 18 (06 1983), 257268.CrossRefGoogle Scholar
Hakansson, N. H.Multi-Period Mean-Variance Analysis: Toward a General Theory of Portfolio Choice.” Journal ofFinance, 26 (09 1971), 857884.Google Scholar
Hasty, J. M. Jr, and Fielitz, B. D.. “Systematic Risk for Heterogeneous Time Horizons.” Journal of Finance, 30 (05 1975), 659676.CrossRefGoogle Scholar
Jensen, M. C.Risk, the Pricing of Capital Assets, and the Evaluation of Investment Portfolios.” Journal of Business, 42 (04 1969), 167247.CrossRefGoogle Scholar
Klein, R. W., and Bawa, V. S.. “The Effect of Limited Information and Estimation Risk on Optimal Portfolio Diversification.” Journal of Financial Economics, 5 (08 1977), 89111.CrossRefGoogle Scholar
Kraus, A., and Litzenberger, R. H.. “Skewness Preference and the Evaluations of Risk Assets.” Journal of Finance, 31 (09 1976), 10851100.Google Scholar
Latané, Criteria for Choice among Risky Ventures.” Journal of Political Economy, 67 (04 1959), 144155.CrossRefGoogle Scholar
Lee, C. F.Investment Horizon and the Functional Form of the Capital Asset Pricing Model.” Review of Economics and Statistics, 58 (08 1976), 356363.CrossRefGoogle Scholar
Levhari, D., and Levy, H.. “The Capital Asset Pricing Model and the Investment Horizon.” Review of Economics and Statistics, 59 (02 1977), 92104.CrossRefGoogle Scholar
Levy, H.Portfolio Performance and the Investment Horizon.” Management Science, 36 (08 1972), 645653.CrossRefGoogle Scholar
Levy, H.Stochastic Dominance, Efficiency Criteria, and Efficient Portfolios: The Multi-Period Case.” American Economic Review, 63 (12 1973), 986994.Google Scholar
Levy, H.Equilibrium in an Imperfect Market: A Constraint on the Number of Securities in the Portfolio.” American Economic Review, 68 (09 1978), 643658.Google Scholar
Markowitz, H. M.Risk Adjustment.” Working Paper No. 88–26, Baruch College (1988).Google Scholar
McDonald, B.Functional Forms and the Capital Asset Pricing Model.” Journal of Financial and Quantitative Analysis, 18 (09 1983), 319329.CrossRefGoogle Scholar
Merton, R. C.Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case.” Review of Economics and Statistics, 51 (08 1969), 247257.CrossRefGoogle Scholar
Merton, R. C.A Simple Model of Capital Market Equilibrium with Imperfect Information.” Journal of Finance, 42 (07 1987), 483510.CrossRefGoogle Scholar
Samuelson, P.Lifetime Portfolio Selection by Dynamic Stochastic Programming.” Review of Economics and Statistics, 51 (08 1969), 239246.CrossRefGoogle Scholar
Tobin, J. “The Theory of Portfolio Selection.” In The Theory of Interest Rates, Hain, F. and Breechling, F., eds. London: MacMillan (1965), 351.Google Scholar
Zeghal, D.Firm Size and the Information Content of Financial Statements.” Journal of Financial and Quantitative Analysis, 19 (09 1984), 299310.CrossRefGoogle Scholar