The Cross-Sectional Risk Premium of Decomposed Market Volatility in UK Stock Market

Yan Yang^*, Laurence Copeland

Cardiff Business School, Cardiff University, Cardiff, UK.

DOI: 10.4236/jss.2014.27006                

Abstract

We decompose UK market volatility into short- and long-run components using EGARCH component model and examine the cross-sectional prices of the two components. Our empirical results suggest that these two components are significantly priced in the cross-section and the negative risk premia are consistent with the existing literature. The Fama-French three-factor model is improved by the inclusion of the two volatility components. However, our ICAPM model using market excess return and the decomposed volatility components as state variables compares inferiorly to the traditional three-factor model.

Keywords

ICAPM, Decomposition of Stock Volatility

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Fama, E.F. and French, K.R. (1992) The Cross-Section of Expected Stock Returns. The Journal of Finance, XLVII, 427-465. http://dx.doi.org/10.1111/j.1540-6261.1992.tb04398.x
[2]	Fama, E.F. and French, K.R. (1993) Common Risk Factors in the Returns on Stocks and Bonds. Journal of Financial Economics, 33, 3-56. http://dx.doi.org/10.1016/0304-405X(93)90023-5
[3]	Jegadeesh, N. and Titman, S. (1993) Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency. The Journal of Finance, 48, 65-91. http://dx.doi.org/10.1111/j.1540-6261.1993.tb04702.x
[4]	Carhart, M.M. (1997) On Persistence in Mutual Fund Performance. The Journal of Finance, 52, 57-82. http://dx.doi.org/10.1111/j.1540-6261.1997.tb03808.x
[5]	Merton, R.C. (1973) An Intertemporal Capital Asset Pricing Model. Econometrica, 51, 867-887. http://dx.doi.org/10.2307/1913811
[6]	Campbell, J.Y. (1993) Intertemporal Asset Pricing without Consumption Data. American Economic Review, 83, 487- 512.
[7]	Campbell, J.Y. (1996) Understanding Risk and Return. Journal of Political Economy, 104, 298-345. http://dx.doi.org/10.1086/262026
[8]	Chen, J. (2002) Intertemporal, CAPM and the Cross-section of Stock Returns. Working Paper, University of Southern California, Los Angeles.
[9]	Ang, A., Hodrick, R.J., Xing, Y.H. and Zhang, X.Y. (2006) The Cross-Section of Volatility and Expected Returns. The Journal of Finance, LXI, 259-299. http://dx.doi.org/10.1111/j.1540-6261.2006.00836.x
[10]	Engle, R.F. and Lee, G. (1999) A Permanent and Transitory Component Model of Stock Return Volatility. Cointegration, Causality and Forecasting: A Festschrift in Honor of Clive W.J. Granger. Oxford University Press, New York.
[11]	Adrian, T. and Rosenberg, J. (2008) Stock Returns and Volatility: Pricing the Short-Run and Long-Run Components of Market Risk. The Journal of Finance, 63, 2997-3030. http://dx.doi.org/10.1111/j.1540-6261.2008.01419.x
[12]	Nelson, D.B. (1991) Conditional Heteroskedasticity in Asset Returns: A New Approach. Econometrica, 59, 347-370. http://dx.doi.org/10.2307/2938260
[13]	Macmillan, H. and Tampoe, M. (2000) Strategic Management. Oxford Uni-versity Press, Oxford.
[14]	Simón, S.R. and Amalia, M.Z. (2012) Volatility in EMU Sovereign Bond Yields: Permanent and Transitory Compo- nents. Applied Financial Economics, 22, 1453-1464. http://dx.doi.org/10.1080/09603107.2012.661397
[15]	Hertog, R.G.J.D. (1994) Pricing of Permanent and Transitory Volatility for US Stock Returns: A Composite GARCH Model. Economics Letters, 44, 421-426. http://dx.doi.org/10.1016/0165-1765(94)90115-5
[16]	Zarour, B.A. and Siriopoulos, C.P. (2008) Transitory and Permanent Volatility Components: The Case of the Middle East Stock Markets. Review of Middle East Economics and Finance, 4, 80-92.
[17]	Mansor, H.I and Huson, J.A.A. (2014) Permanent and Transitory Oil Volatility and Aggregate Investment in Malaysia. Energy Policy, 67, 552-563. http://dx.doi.org/10.1016/j.enpol.2013.11.072
[18]	Ross, S.A. (1976) The Arbitrage Theory of Capital Asset Pricing. Journal of Economic Theory, 13, 341-360. http://dx.doi.org/10.1016/0022-0531(76)90046-6
[19]	Gregory, A., Tharyan, R. and Huang, A. (2009) The Fa-ma-French and Momentum Portfolios and Factors in the UK. University of Exeter Business School, XFI Centre for Finance and Investment Paper No. 09/05.
[20]	Baillie, R.T. and Degennaro, R.P. (1990) Stock Returns and Volatility. Journal of Financial and Quantitative Analysis, 25, 203-214. http://dx.doi.org/10.2307/2330824
[21]	Whitelaw, R. (1994) Time Variations and Covariations in the Expectation and Volatility of Stock Returns. Journal of Finance, 49, 515-541. http://dx.doi.org/10.1111/j.1540-6261.1994.tb05150.x
[22]	Harvey, C.R. (2001) The Specification of Conditional Expectations. Journal of Empirical Finance, 8, 573-638. http://dx.doi.org/10.1016/S0927-5398(01)00036-6
[23]	Jagannathan, R. and Wang, Z.Y. (1998) An Asymptotic Theory for Estimating Beta-Pricing Models Using Cross-Sectional Regression. Journal of Finance, 53, 1285-1309. http://dx.doi.org/10.1111/0022-1082.00053