Abstract
This paper discusses an improvement of the Parameter Certainty Equivalence method in portfolio selection. Specifically, we derive methods of portfolio selection that are superior to the Parameter Certainty Equivalence method from the viewpoint of maximizing expected utility. We additionally derive such a method from the Bayesian approach.
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References
Berger, J. O. (1976) Admissible minimax estimation of a multivariate normal mean with arbitrary quadratic loss, Ann. Stat. 4, 223-226.
Berger, J. O. (1985) Statistical Decision Theory and Bayesian Analysis, Springer-Verlag.
Frost, P. A. and Savarino, J. E. (1986) An empirical Bayes approach to efficient portfolio selection, J. Financ. Quantitat. Anal. 21 (3), 293-305.
James, W. and Stein, C. (1961) Estimation with quadratic loss. In Proc. Fourth Berkeley Symp. Math. Statist. Prob. 1, 361-379.
Jorion, P. (1986) Bayes-Stein estimation for portfolio analysis, J. Financ. Quantitat. Anal. 21 (3), 279-292.
Kashima, H. (2000) An application of a minimax Bayes rule to the portfolio selection problem through the Bayesian approach, Working Paper, Center for Research in Advanced Financial Technology in Tokyo Institute of Technology.
Lence, S. H. and Hayes, D. J. (1994) Parameter-based decision making under estimation risk: An application to futures trading, J. Finance XLIX (1), 345-357.
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Kashima, H. An Improvement of the Parameter Certainty Equivalence Method in Portfolio Selection. Asia-Pacific Financial Markets 8, 35–43 (2001). https://doi.org/10.1023/A:1011488924784
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DOI: https://doi.org/10.1023/A:1011488924784