Towards a model of capital asset pricing for Mexico: analysis individual assetstime-varying coefficients
Abstract
Analyzing the behavior of time-variyng beta coefficients estimated through the Kalman filter for a sample of Mexican assets listed on the Mexican Stock Exchange, it can be seen that a model with changing betas, in which asset returns depend on a local factor and an international one, allows to estimate risk premiums of these assets. Given the dependence exhibited all the studied assets in relation to a domestic factor, the evidence shown in this study supports the hypothesis that the Mexican market is not fully integrated into the international. That is, in our analysis is found that the characteristics of the systematic risk of the Mexican studied assets are consistent with the valuation of assets in the context of partially segmented market. Consequently, the results shown here suggest that it is appropriate to use a international model of asset valuation (ICAPM), with an international factor and a domestic factor, and time-varying beta coefficients instead of models with a single domestic factor.
Keywords
ICAPM, time-varying beta, markets integration, Kalman Filter
References
- Adler, M. y B. Dumas (1983). “International Porfolio Choice and Corporation Finance: A Synthesis”, Journal of Finance, 38 (3). pp. 925-984.
- Adrian, Tobias y Francesco Franzoni (2002). “Learning about beta: An explanation of the value premium”, Working paper, MIT.
- Alexander, G. J. y N. L. Chervany (1980). “On the Estimation and Stability of Beta”, Journal of Financial and Quantitative Analysis, vol. 15, No. 1, pp. 123-137.
- Alford, Alan (1993). “Assessing capital market segmentation: a review of the literature”. Stansell, S.R. (edit). International financial market integration. Blackwell. Oxford, UK.
- Allen, G.; R. C. M. Impson y I. Karafiath (1994). “An Empirical Investigation of Beta Stability: Portfolio vs. Individual Securities”, Journal of Business, Finance and Accounting, vol. 21, No. 6, pp. 909-916.
- Avramov. D. y T. Chordia (2006). “Asset Pricing Models and Financial Market Anomalies.” Review of Financial Studies, vol. 19, No 3, pp. 1001-1040.
- Baesel, J. B. (1974). “On the Assessment of Risk: Some Further Considerations”, Journal of Finance, vol. 29, No. 5, pp. 1491-1494.
- Barry, C. B. y R. L. Wickler (1976). “Nonstationarity and Portfolio Choice”, Journal of Financial and Quantitative Analysis, vol. 11, No. 2, pp. 217-135.
- Bildersee, J. S. y G. S. Roberts (1981). “Beta Instability When Interest Rate Level Changes”, Journal of Financial and Quantitative Analysis, vol. 16, No. 3, pp. 375-380.
- Blume, M. E. (1971). “On the Assessment of Risk”, Journal of Finance, vol. 26, No. 1, pp. 1-10.
- _ (1979). “Betas and Their Regression Tendencies: Some Further Evidence”, Journal of Finance, vol. 34, No. 1, pp. 265-267.
- Brailsford, T. J. y T. Josev (1997). “The Impact of Return Interval on the Estimation of Systematic Risk in Australia”, Pacific Basin Finance Journal, vol. 5, No. 3, pp. 357-376.
- Braun, P.; D. Nelson y A. Sunier (1995). “Good News. Bad News. Volatility, and Betas.” Journal of Finance, vol. 50, pp. 1575-1603.
- Carroll, Carolyn y Sears, R. Stephen (1994). Dividend Announcements and Changes in Beta, The Financial Review, vol. 29, No. 3, pp. 371-393.
- Choudhry, T. (2002). “The stochastic structure of the time-varying beta: evidence from UK companies”, Manchester School, 70 (6), 768-791.
- Deb, S. G. y S. Misra (2011). “Are Equity Betas Stable? Evidence from Indian Equity Market”. IUP Journal of Applied Finance, vol. 17, No. 4, pp. 5-25.
- Errunza, Vihang R. y E. Losq (1985). “International asset pricing under mild segmentation: Theory and test”, Journal of Finance, 40 (1), pp. 105-124.
- Fabozzi, F. J. y J. C. Francis (1978). “Beta as a Random Coefficient”, Journal of Financial & Quantitative Analysis, vol. 13, No. 1, pp. 101-116.
- Fama, E. y K. French (1992). The Cross-section of expected returns, Journal of Finance, 47, 427-65.
- Ferson. W. y C. Harvey (1993). “The Risk and Predictability of International Equity Retums.” Review of Financial Studies 6, pp. 527-566.
- Goldberg, M. y A. Vora (1981). “The Inconsistency of the Relationship Between Security and Market Returns”, Journal of Economics and Business, vol. 33, No. 2, pp. 97-107.
- Grubel, H. G. (1968). “Internationally diversified portfolios”, American Economic Review, 58, pp. 1299-1314.
- Hamilton, D. James (1994). Time Series Analysis, Princeton University Press, pp. 799.
- Hawawini, G. (1983). “Why Beta Shifts as the Return Interval Changes”, Financial Analysts Journal, vol. 39, No. 3, pp. 73-77.
- Huang, H. (2000). “Tests of regimes-switiching CAPM”, Applied Financial Economics, 10, pp. 573–78.
- Jostova, G. y A. Philipov (2005). “Bayesian analysis of stochastic betas”. Journal of Financial & Quantitative Analysis, 40(4), pp. 747-778.
- Kalman, R. E. (1960). “A new approach to linear filtering and prediction problems”, Journal of Basic Engineering, Transactions ASMA, serie D 82, pp. 35-45.
- Kalman, R. E. y R. S. Bucy (1961). “New results in linear filtering and prediction theory”, Journal of Basic Engineering, Transactions ASMA, Serie D 83, pp. 95-108.
- Ledoil. O.; P. Santa-Clara y M. Wolf (2003). “Flexible Mullivariate GARCH Modeling with an Application to International Stock Markets”. Review of Economics and Statistics, 85, pp. 735-747.
- Leusner, J.; J. Akhavein y P. A. V. B. Swamy (1996). “Solving an empirical puzzle in the capital asset pricing model”, Finance and Economics Discussion Series, 96-14, Board of Governors of the Federal Reserve System (U.S.).
- Levitz, G. D. (1974). “Market Risk and the Management of Institutional Equity Portfolios”, Financial Analysts Journal, vol. 30, No. 1, pp. 53-60.
- Levy, R. A. (1971). “On the Short Term Stationarity of Beta Coefficients”, Financial Analysts Journal, vol. 27, No. 6, pp. 55-62.
- Lin, H. J. y W. T. Lin (2000). “A dynamic and stochastic beta and its implications in global capital markets”. International Finance, 3 (1), p. 123.
- Lintner, J. (1965). “The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets”, Review of Economic and Statistics, 47 (1), pp. 13-37.
- Longstaff, F. (1989). “Temporal aggregation and the continuous-time capital asset pricing model”, Journal of Finance, 44, pp. 871-87.
- López-Herrera, F.; E. Ramírez Cedillo y D. Rodríguez Benavides (2012). “Evidencia de que la Beta de acciones mexicanas cambia en el tiempo”, Ortiz. Arango, Francisco y Francisco López. Herrera (Coords). Avances recientes en valuación de activos y administración de riesgos, vol. 3, Universidad Panamericana: México, pp. 175-189.
- Markowitz, H. M. (1952). “Portfolio selection”, Journal of Finance, 7 (1), pp. 77-91.
- Meyers, S. L. (1973). “The Stationarity Problem in the Use of the Market Model of Security Price Behaviour”, Accounting Review, vol. 48, No. 2, pp. 318-322.
- Mossin, J. (1966). “Equilibrium in a capital asset market”, Econometrica, 34 (4), pp. 768-783.
- Ramírez-Cedillo, E.; F. López-Herrera y D. Rodríguez Benavides (2014). “Evidencia adicional sobre la variabilidad de las betas de acciones mexicanas en el tiempo”. Martínez-Preece, Marissa; Carlos Zubieta-Badillo, Francisco López-Herrera y Francisco Venegas-Martínez (coord.) Administración de riesgos, vol. V. Universidad Autónoma Metropolitana-Azcapotzalco: México, pp. 173-194.
- Schlicht, E. y J. Ludsteck (2006). “Variance estimation in a random coefficients model”, Munich Discussion Paper, No. 2006-12, Deparment of Economics, University of Munich.
- Sercu, P. (1980). “A generalisation of the International Asset Pricing Model”, Revue de l’Association Française de Finance, pp. 91-136.
- Shanken. J. (1990). “Inter-temporal Asset Pricing: An Empirical Investigation.” Journal of Econometrics. 45, pp. 99-120.
- Sharpe. W. F. (1963). “A Simplified Model for Portfolio Analysis”, Management Science,
- vol. 9, No. 2, pp. 277-293.
- _ (1970). Portfolio theory and capital markets. McGraw-Hill. New York, pp. 170-1184.
- Shrpe, W. F. (2000). Portfolio theory and capital markets. McGraw-Hill. New York, pp. 150-175.
- Sharpe, W. F. y G. M. Cooper (1972). “Risk Return Classes of New York Stock Exchange Common Stocks, 1931-1967”, Financial Analysts Journal, vol. 28, No. 2, pp. 46-54.
- Sharpe, W. F.; J. A. Gordon y V. B. Jeffery (1999). Investments, 6ª ed. Prentice Hall. Englewood Cliffs, New Jersey, pp. 176-196.
- Solnik, B. (1974). “An equilibrium model of the international capital market”, Journal of Economic Theory, 8 (4), pp. 500-524.
- Treynor, J. L. (1961). “Market value, time, and risk”, Manuscrito no publicado.
- _ (1962). “Towards a theory of market value of risky assets”, Manuscrito no publicado. Se publicó una versión en Korajczyk, Robert A. (ed). 1999. Asset pricing and portfolio performance. Risk Books. London, pp. 15-22.