Time-Varying Market Betadoes the estimation methodology matter?

  1. Nieto Domenech, Belén
  2. Orbe Mandaluniz, Susan
  3. Zarraga Alonso, Ainhoa
Revista:
Sort: Statistics and Operations Research Transactions

ISSN: 1696-2281

Año de publicación: 2014

Volumen: 38

Número: 1

Páginas: 13-42

Tipo: Artículo

Otras publicaciones en: Sort: Statistics and Operations Research Transactions

Resumen

This paper compares the performance of nine time-varying beta estimates taken from three different methodologies never previously compared: least-square estimators including nonparametric weights, GARCH-based estimators and Kalman filter estimators. The analysis is applied to the Mexican stock market (2003-2009) because of the high dispersion in betas. The comparison be- tween estimators relies on their financial applications: asset pricing and portfolio management. Results show that Kalman filter estimators with random coefficients outperform the others in capturing both the time series of market risk and their cross-sectional relation with mean returns, while more volatile estimators are better for diversification purposes.

Referencias bibliográficas

  • Ang, A. and Kristensen, D. (2012). Testing conditional factor models. Journal of Financial Economics, 106, 132–156.
  • Bauwens, L., Laurent, S. and Rombouts, J. V. K. (2006). Multivariate GARCH models: a survey. Journal of Applied Econometrics, 21, 79–109.
  • Bollerslev, T., Engle, R. and Wooldridge, J. (1998). A capital asset pricing model with time-varying covariances. Journal of Political Economy, 96, 116–131.
  • Bollerslev, T. and Zhang, B.Y.B. (2003). Measuring and modeling systematic risk in factor pricing models using high-frequency data. Journal of Empirical Finance, 10, 533–558.
  • Campbell, J. and Vuolteenaho, T. (2004). Bad beta, good beta. American Economic Review, 94, 1249–1275.
  • Carhart, M.M. (1997). On persistence in mutual fund performance. Journal of Finance, 52, 57–82.
  • Choudhry, T. (2005). Time-varying beta and the Asian financial crisis: Evidence from Malaysian and Taiwanese firms. Pacific-Basin Finance Journal, 13, 93–118.
  • Choudhry, T. and Wu, H. (2008). Forecasting ability of GARCH vs Kalman filter method: evidence from daily UK time-varying beta. Journal of Forecasting, 27, 670–689.
  • De Santis, G. and Gérard, B. (1998). How big is the premium for currency risk? Journal of Financial Economics, 49, 375–412.
  • Ebner, M. and Neumann, T. (2005). Time-varying betas of German stock returns. Financial Markets and Portfolio Management, 19, 29–46.
  • Engle, R. F. (2002). Dynamic conditional correlation-a simple class of multivariate GARCH models. Journal of Business and Economic Statistics, 20, 339–350.
  • Engle, R. F. and Kroner, F. K. (1995). Multivariate simultaneous generalized ARCH. Econometric Theory, 11, 122–150.
  • Esteban, M. V. and Orbe, S. (2010). A nonparametric approach for estimating betas: the smoothed rolling estimator. Applied Economics, 42, 1269–1279.
  • Faff, R. W., Hillier, D. and Hillier, J. (2000). Time varying beta risk: an analysis of alternative modelling techniques. Journal of Business Finance and Accounting, 27, 523–554.
  • Fama, E. F. and French, K. R. (1993). Common risk factors in the returns of stocks and bonds. Journal of Financial Economics, 33, 3–56.
  • Fama, E. F. and French, K. R. (1997). Industry costs of equity. Journal of Financial Economics, 43, 153– 193.
  • Fama, E. F. and MacBeth, J. D. (1973). Risk, return and equilibrium: empirical tests. Journal of Political Economy, 81, 607–636.
  • Ferreira, E., Gil, J. and Orbe, S. (2011). Conditional beta pricing models: a nonparametric approach. Journal of Banking and Finance, 35, 3362–3382.
  • Ferson, W. E. and Harvey, C. R. (1999). Conditioning variables and the cross-section of stock returns. Journal of Finance, 54, 1325–1360.
  • Ghysels, E. and Jacquier, E. (2006). Market beta dynamics and portfolio efficiency. Working Paper, Cornell University, CREF.
  • Harvey, C. R., Solnik, B. and Zhou, G. (2002). What determines expected international asset returns? Annals of Economics and Finance, 3, 249–298.
  • Jagannathan, R. andWang, Z. (1996). The conditional CAPM and cross-section of expected returns. Journal of Finance, 51, 3–53.
  • Lettau, M. and Ludvigson, S. (2001). Resurrecting the (C)CAPM: a cross-sectional test when risk premia are time-varying. Journal of Political Economy, 109, 1238–1287.
  • Lewellen, J. and Nagel, S. (2006). The conditional CAPM does not explain asset-pricing anomalies. Journal of Financial Economics, 82, 289–314.
  • Lewellen, J., Nagel, S. and Shanken, J. (2010). A skeptical appraisal of asset-pricing tests. Journal of Financial Economics, 96, 175–194.
  • Li, Y. and Yang, L. (2011). Testing conditional factor models: a nonparametric approach. Journal of Empirical Finance, 18, 975–992.
  • Lin, W. T., Chen, Y. H. and Boot, J. C. (1992). The dynamic and stochastic instability of betas: Implications for forecasting stock returns. Journal of Forecasting, 11, 517–541.
  • Lin, H. J. and Lin, W. T. (2000). A dynamic and stochastic beta and its implications in global capital markets. International Finance, 3, 123–160.
  • Lintner, J. (1965). The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics, 47, 261–290.
  • Mergner, S. and Bulla, J. (2008). Time-varying beta risk of Pan-European industry portfolios: a comparison of alternative modeling techniques. European Journal of Finance, 14, 771–802.
  • Merton, R. C. (1973). An intertemporal capital asset pricing model. Econometrica, 41, 867–887.
  • Moonis, S. A. and Shah, A. (2003). Testing for time-variation in beta in India. Journal of Emerging Market Finance, 2, 163–180.
  • Ng, L. (1991). Tests of the CAPM with time-varying covariances: a multivariate GARCH approach. The Journal of Finance, 46, 1507–1520.
  • Petkova, R. and Zhang, L. (2005). Is value riskier than growth? Journal of Financial Economics, 78, 187– 202.
  • Robinson, P. (1989). Nonparametric estimation of time varying parameters. Hackl, P. ed. Statistical Analysis and Forecasting Economic Structural Change. New York: Springer-Verlag, 253–264.
  • Shanken, J. (1990). Intertemporal asset pricing: an empirical investigation. Journal of Econometrics, 45, 99–120.
  • Shanken, J. (1992). On the estimation of beta-pricing models. Review of Financial Studies, 5, 1–33.
  • Sharpe, C. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19, 425–442.
  • Silvennoinen, A. and Teräsvirta, T. (2009). Multivariate GARCH models. Andersen, T. G., Davis, R. A., Kreiβ , J. and Mikosch, T. eds. Handbook of Financial Time Series. Berlin: Springer-Verlag, 201– 229.
  • Wells, C. (1994). Variable betas on the Stockholm exchange 1971–1989. Applied Financial Economics, 4, 75–92.