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The Capital Growth Model: An Empirical Investigation

Published online by Cambridge University Press:  19 October 2009

Extract

Modern micro-capital theory offers three major alternative choice theoretic approaches from which a set of market equilibrium prices can be derived. These approaches are:

1. Time-state preference theory of Arrow [1] and Debreu [6],

2. The capital asset pricing model (hereafter CAPM) of Sharpe [34], Lintner [23], and Fama [7],

3. The capital growth model of Kelly [16], Breiman [5], and Latané [17]

Type
Research Article
Copyright
Copyright © School of Business Administration, University of Washington 1973

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References

[1]Arrow, K. J.The Role of Securities in the Optimal Allocation of Risk Bearing.” Review of Economic Studies, Vol. 31 (April 1964), pp. 9196.CrossRefGoogle Scholar
[2]Black, F., Jensen, M. C., and Scholes, M.. “The Capital Asset Pricing Model: Some Empirical Tests.” In Studies in the Theory of Capital Markets, edited by Jensen, M. C.. New York, N. Y.: Praeger Press, 1972, pp. 79121.Google Scholar
[3]Blume, M., and Friend, I.. “Measurement of Portfolio Performance Under Uncertainty.” American Economic Review, September 1970.Google Scholar
[4]Blume, M.A New Look at the Capital Asset Pricing Model.” Journal of Finance, forthcoming.Google Scholar
[5]Breiman, L. “Investment Policies for Expanding Business in a Long-Run Sense.” Naval Research Logistics Quarterly, December 1960, pp. 647651.CrossRefGoogle Scholar
[6]Debreu, G.The Theory of Value, New York, N. Y.: John Wiley and Sons, Inc., 1959.Google Scholar
[7]Fama, E.Risk, Returns, and Equilibrium: Some Clarifying Comments.” Journal of Finance, March 1968, pp. 2940.CrossRefGoogle Scholar
[8]Fama, E., and MacBeth, J.. “Long-Run Growth in a Short-Run Market.” Unpublished manuscript, August 1972.Google Scholar
[9]Fama, E., and Miller, M. H.. The Theory of Finance. New York, N. Y.: Holt, Reinhart and Winston, 1972.Google Scholar
[10]Friend, I., and Blume, M.. “Risk and the Long-Run Rates of Return on NYSE Common Stock.” Working Paper No. 18–72, Rodney L. White Center for Financial Research, University of Pennsylvania, 1972.Google Scholar
[11]Hadar, J., and Russell, W. R.. “Rules for Ordering Uncertain Prospects.” American Economic Review, January 1969, pp. 2534.Google Scholar
[12]Hakansson, N. H.Capital Growth and the Mean-Variance Approach to Portfolio Selection.” Journal of Financial and Quantitative Analysis, January 1971.CrossRefGoogle Scholar
[13]Hakansson, N. H.Multi-Period Mean-Variance Analysis: Towards a General Theory of Portfolio Choice.” Journal of Finance, September 1971.Google Scholar
[14]Hakansson, N. H., and Liu, Tien-Ching. “Optimal Growth Portfolios when Yields are Serially Correlated.” Review of Economics and Statistics, November 1970, pp. 385394.CrossRefGoogle Scholar
[15]Hanoch, G., and Levy, H.. “The Efficiency Analysis of Choices Involving Risk.” Review of Economic Studies, 1969, pp. 335346.CrossRefGoogle Scholar
[16]Kelly, J.A New Interpretation of Information Rate.” Bell System Technical Journal, August 1956.CrossRefGoogle Scholar
[17]Latané, H.Criteria for Choice Among Risky Ventures.” Journal of Political Economy, April 1959.CrossRefGoogle Scholar
[18]Latané, H., and Tuttle, D.. “Criteria for Portfolio Building.” Journal of Finance, September 1967.CrossRefGoogle Scholar
[19]Latané, H.Security Analysis and Portfolio Management. New York, N. Y.: Ronald Press, 1970.Google Scholar
[20]Latané, H., and Young, W.. “Test of Portfolio Building Rules.” Journal of Finance, September 1969.CrossRefGoogle Scholar
[21]Leland, H. E. Dynamic Portfolio Theory, Ph.D. dissertation, Harvard University, 1968.Google Scholar
[22]Levy, H., and Paroush, J.. “Multi-Period Stochastic Dominance.” Unpublished paper, Israel, June 1972.Google Scholar
[23]Lintner, J.Security Prices, Risk, and Maximal Gains from Diversification.” Journal of Finance, March 1968, pp. 2940.Google Scholar
[24]Litzenberger, R., and Budd, A.. “A Mote on Geometric Mean Portfolio Selection and the Market Price of Equities.” Journal of Financial and Quantitative Analysis, December 1971, pp. 12771282.CrossRefGoogle Scholar
[25]Markowitz, H.Investment for the Long Run.” Working Paper No. 20–72, Rodney L. White Center for Financial Research, 1972.Google Scholar
[26]Markowitz, H.Portfolio Selection: Efficient Diversification of Investments. New York, N. Y.: John Wiley and Sons, Inc., 1959.Google Scholar
[27]Merton, R.An Intertemporal Capital Asset Pricing Model.” Working Paper 588–72, Alfred P. Sloan School of Management, M.I.T., February 1972.Google Scholar
[28]Mossin, J.Optimal Multiperiod Portfolio Policies.” Journal of Business, April 1968.CrossRefGoogle Scholar
[29]Quirk, J. P., and Saposnik, R.. “Admissibility and Measurable Utility Functions.” Review of Economic Studies, 1962, pp. 140146.CrossRefGoogle Scholar
[30]Ricks, B., and Rubinstein, M.. “Portfolio Theory in Perspective.” Unpublished manuscript, n.d.Google Scholar
[31]Roll, R. “Evidence on the Growth Optimal Model.” Unpublished manuscript, April 1972.Google Scholar
[32]Samuelson, P. A. “Lifetime Portfolio Selection by Dynamic Programming.” Review of Economics and Statistics, May 1969.CrossRefGoogle Scholar
[33]Samuelson, P. A.The ‘Fallacy’ of Maximizing the Geometric Mean in Long Sequences of Investing or Gambling.” Proceedings National Academy of Sciences, vol. 68, No. 10, October 1971, pp. 24932496.CrossRefGoogle ScholarPubMed
[34]Sharpe, W. F.Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk.” Journal of Finance, vol. 19 (September 1964), pp. 425442.Google Scholar
[35]Smith, K. V.A Transition Model for Portfolio Revision.” Journal of Business, September 1967, pp. 425439.Google Scholar
[36]Stiglitz, J.Optimality of Stock Market Allocation.” Quarterly Journal of Economics, February 1972, pp. 2560.CrossRefGoogle Scholar
[37]Thorp, E. “Portfolio Choice and the Kelly Criterion.” Business and Economics Statistics Proceedings, American Statistical Association, 1971, pp. 215224.Google Scholar
[38]Thorp, E., and Whitley, R.. “Concave Utilities are Distinguished by Their Optimal Strategies.” Unpublished manuscript, 1972.Google Scholar
[39]Tobin, J.Liquidity Preference as Behavior Towards Risk.” Review of Economic Studies, vol. 25 (February 1958), pp. 6586.CrossRefGoogle Scholar