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Asymptotic and Bayesian Confidence Intervals for Sharpe Style Weights

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Author Info
Tae-Hwan Kim
Douglas Stone
Halbert White

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Abstract

Sharpe style regression has become a widespread analytic tool in the financial community. The style regression allows one to investigate such interesting issues as style composition, style sensitivity, and style change over time. All previous methods to obtain the distribution and confidence intervals of the style coefficients are statistically valid only in the special case in which none of the true style weights are zero or one. In practice it is quite plausible to have zero or one for the values of some style weights. In this paper we apply new results of Andrews (1997a, 1999) and develop a comparable Bayesian method to obtain statistically valid distributions and confidence intervals regardless of the true values of style weights.

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Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number 2000-27.

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Date of creation: Oct 2000
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Handle: RePEc:cdl:ucsdec:2000-27

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Geweke, John, 1986. "Exact Inference in the Inequality Constrained Normal Linear Regression Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(2), pages 127-41, April. [Downloadable!] (restricted)
  2. Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January. [Downloadable!] (restricted)
  3. Donald W. K. Andrews, 2000. "Inconsistency of the Bootstrap when a Parameter Is on the Boundary of the Parameter Space," Econometrica, Econometric Society, vol. 68(2), pages 399-406, March.
  4. Donald W. K. Andrews, 1999. "Estimation When a Parameter Is on a Boundary," Econometrica, Econometric Society, vol. 67(6), pages 1341-1384, November.
  5. Brown, Stephen J. & Goetzmann, William N., 1997. "Mutual fund styles," Journal of Financial Economics, Elsevier, vol. 43(3), pages 373-399, March. [Downloadable!] (restricted)
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  6. Donald W.K. Andrews, 1997. "A Simple Counterexample to the Bootstrap," Cowles Foundation Discussion Papers 1157, Cowles Foundation, Yale University. [Downloadable!]
  7. Fung, William & Hsieh, David A, 1997. "Empirical Characteristics of Dynamic Trading Strategies: The Case of Hedge Funds," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 10(2), pages 275-302.
  8. Donald W.K. Andrews, 1997. "Estimation When a Parameter Is on a Boundary: Theory and Applications," Cowles Foundation Discussion Papers 1153, Cowles Foundation, Yale University. [Downloadable!]
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Laurens Swinkels & Pieter Van Der Sluis, 2006. "Return-based style analysis with time-varying exposures," European Journal of Finance, Taylor and Francis Journals, vol. 12(6-7), pages 529-552, October. [Downloadable!] (restricted)
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  2. Alessandro Bucciol & Raffaele Miniaci, 2006. "Optimal asset allocation based on utility maximization in the presence of market frictions," "Marco Fanno" Working Papers 0012, Dipartimento di Scienze Economiche "Marco Fanno". [Downloadable!]
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