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Generalized Functional Form for Mutual Fund Returns

Published online by Cambridge University Press:  06 April 2009

Extract

Based on the theory of the pricing of capital assets developed by Sharpe [12], Lintner [9] and Mossin [11], Professor Jensen formulated a return-generating model to measure portfolio performance [5]. In a subsequent paper, Professor Jensen [6] investigated the impact of the investment horizon on the functional form of the model. Lee [8] has proposed a generalized specification of the model to resolve this problem. Alternative estimation methods for testing the linearity of the model in terms of time-series data have also been suggested by Lee. Moreover, the stability of the beta coefficient over time and the impact of the market's condition on both the alpha (or, Jensen's measure of performance [5]) and beta of the model have come under scrutiny in financial research.

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1980

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References

REFERENCES

[1]Box, G. E. P., and Cox, D. R.. “An Analysis of Transformation.” Journal of the Royal Statistical Society, Series B (1964), pp. 211243.Google Scholar
[2]Brown, S. B.Heteroscedasticity in the Market Model: Comment.” Journal of Business (01 1977), pp. 8083.Google Scholar
[3]Fabozzi, F. J., and Francis, J. C.. “Heteroscedasticity in the Single Index Market Model.” Journal of Economics and Business (Spring/Summer 1980), pp. 243248.Google Scholar
[4]Goldfeld, S. M., and Quandt, R. E.. “Some Tests for Heteroscedasticity.” Journal of the American Statistical Association (06 1965), pp. 539547.CrossRefGoogle Scholar
[5]Jensen, M. C.The Performance of Mutual Funds in the Period 1945–64.” Journal of Finance (05 1968), pp. 389416.Google Scholar
[6]Jensen, M. C.Risk, the Pricing of Capital Assets, and the Evaluation of Investment Portfolio.” Journal of Business (04 1969), pp. 167247.Google Scholar
[7]Kmenta, J.Elements of Econometrics. New York: The Macmillan Company (1971).Google Scholar
[8]Lee, C. F. “Investment Horizon and the Functional Form of the Capital Asset Pricing Model.” Review of Economics and Statistics (08 1976), pp. 356363.Google Scholar
[9]Lintner, J.Security, Prices, Risk, and Maximal Gains from Diversification.” Journal of Finance (12 1965), pp. 587616.Google Scholar
[10]Martin, J. D., and Klemkosky, R. C.. “Some Evidence of Heteroscedasticity in the Market Model.” Journal of Business (01 1975), pp. 8186.Google Scholar
[11]Mossin, J. “Equilibrium in a Capital Asset Market.” Econometrica (10 1966), pp. 768783.CrossRefGoogle Scholar
[12]Sharpe, W. F.Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk.” Journal of Finance (09 1964), pp. 425442.Google Scholar
[13]Treynor, J. L., and Mazuy, K. K.. “Can Mutual Funds Outguess the Market?” Harvard Business Review (0708 1966), pp. 131136.Google Scholar
[14]Zarembka, P.Functional Form in the Demand for Money.” Journal of the American Statistical Association (06 1968), pp. 505511.Google Scholar