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Capital asset pricing model on UK securities using ARCH

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Author Info
David Morelli
Abstract

This study tests conditional and unconditional versions of the CAPM using portfolios made up of security returns in the UK over the period January 1980-December 1999. The main objectives are to see if the GARCH betas differ from the unconditional betas, and to see if the market risk premium is positive. The CAPM tests are two-pass, where monthly returns are regressed on alternative beta estimates, and the time series mean of the coefficients is the average market premium. It is found that the GARCH and unconditional betas are correlated, either 0.475 or 0.575 depending on the method used. Using unconditional betas the average market premium is negative, but not statistically significant. Using conditional betas the average market premium is positive but not statistically significant. For some individual years a positive statistically significant risk premium is found. These individual years tend to correspond to periods when the stock market was particularly volatile which would tend to suggest that the model has value during periods of relatively high volatility.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Applied Financial Economics.

Volume (Year): 13 (2003)
Issue (Month): 3 (January)
Pages: 211-223
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Handle: RePEc:taf:apfiec:v:13:y:2003:i:3:p:211-223

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  1. Bollerslev, Tim & Engle, Robert F & Wooldridge, Jeffrey M, 1988. "A Capital Asset Pricing Model with Time-Varying Covariances," Journal of Political Economy, University of Chicago Press, vol. 96(1), pages 116-31, February. [Downloadable!] (restricted)
  2. Baillie, Richard T. & DeGennaro, Ramon P., 1990. "Stock Returns and Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(02), pages 203-214, June. [Downloadable!]
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  3. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September. [Downloadable!] (restricted)
  4. De Santis, Giorgio & Gerard, Bruno, 1997. " International Asset Pricing and Portfolio Diversification with Time-Varying Risk," Journal of Finance, American Finance Association, vol. 52(5), pages 1881-1912, December. [Downloadable!] (restricted)
  5. Poon, Ser-Huang & Taylor, Stephen J., 1992. "Stock returns and volatility: An empirical study of the UK stock market," Journal of Banking & Finance, Elsevier, vol. 16(1), pages 37-59, February. [Downloadable!] (restricted)
  6. Engle, Robert F. & Kroner, Kenneth F., 1995. "Multivariate Simultaneous Generalized ARCH," Econometric Theory, Cambridge University Press, vol. 11(01), pages 122-150, February. [Downloadable!]
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  7. McMillan, David & Speight, Alan & ap Gwilym, Owain, 2000. "Forecasting UK Stock Market Volatility," Applied Financial Economics, Taylor and Francis Journals, vol. 10(4), pages 435-48, August. [Downloadable!] (restricted)
  8. Chelley-Steeley, Patricia L & Steeley, James M, 1995. "Conditional Volatility and Firm Size: An Empirical Analysis of UK Equity Portfolios," Applied Financial Economics, Taylor and Francis Journals, vol. 5(6), pages 433-40, December. [Downloadable!] (restricted)
  9. Gibbons, Michael R., 1982. "Multivariate tests of financial models : A new approach," Journal of Financial Economics, Elsevier, vol. 10(1), pages 3-27, March. [Downloadable!] (restricted)
  10. Charles Engel & Jeffrey A. Frankel & Kenneth A. Froot & Anthony P. Rodrigues, 1989. "Conditional Mean-Variance Efficiency of the U.S. Stock Market," NBER Working Papers 2890, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  11. repec:cup:etheor:v:11:y:1995:i:1:p:122-50 is not listed on IDEAS
  12. Beenstock, Michael & Chan, Kam-Fai, 1986. "Testing the Arbitrage Pricing Theory in the United Kingdom," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(2), pages 121-41, May.
  13. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April. [Downloadable!] (restricted)
  14. Andrew Clare & Raymond O'Brien & Stephen Thomas & Michael Wickens, . "Macroeconomic Shocks and the Domestic CAPM: Evidence from the UK Stock Market," Discussion Papers 94/10, Department of Economics, University of York.
  15. Gibbons, Michael R. & Ferson, Wayne, 1985. "Testing asset pricing models with changing expectations and an unobservable market portfolio," Journal of Financial Economics, Elsevier, vol. 14(2), pages 217-236, June. [Downloadable!] (restricted)
  16. Bodurtha, James N, Jr & Mark, Nelson C, 1991. " Testing the CAPM with Time-Varying Risks and Returns," Journal of Finance, American Finance Association, vol. 46(4), pages 1485-1505, September. [Downloadable!] (restricted)
  17. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July. [Downloadable!] (restricted)
  18. Hansson, Bjorn & Hordahl, Peter, 1998. "Testing the Conditional CAPM Using Multivariate GARCH-M," Applied Financial Economics, Taylor and Francis Journals, vol. 8(4), pages 377-88, August. [Downloadable!] (restricted)
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