The regression coefficient β(r) measures the sensitivity of returns of the security to changes in market returns.

From an econometric perspective, two concepts become relevant in this context. Firstly, in order for the above regression to be meaningful, the time series {rt} and {rMt} should be stationary. In particular, the presence of a unit root would undermine the significance of β(r), and therefore threaten the entire basis of the CAPM. Secondly, there should be some form of causality from changes in market returns to changes in security returns. In particular, Granger causality from market returns to security returns must hold.

It is in this context that stationarity and Granger causality should be examined for the security line, as represented by the above regression. As Soufian (2001) has pointed out, in order for the regression analyses used for CAPM and APT (Arbitrage Pricing Theory) tests to be meaningful, it is essential to identify the processes that generate the series. In particular, Granger causality may offer an approach to determining the macroeconomic variables that influence asset returns in general.

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A Study on Granger Causality in the CAPM

Mihir Dash*
*Head Department of Quantitative Methods, School of Business, Alliance University, Bangalore, India.
Periodicity:March - May'2017
DOI : https://doi.org/10.26634/jmgt.11.4.13452

Abstract

At the heart of the Capital Asset Pricing Model (CAPM) lies the concept of systematic risk. The systematic risk of a security is that component of the total risk of the security that is explained by market risk. This is captured through the regression of security returns rt on market returns rMt , viz

The regression coefficient β(r) measures the sensitivity of returns of the security to changes in market returns.

From an econometric perspective, two concepts become relevant in this context. Firstly, in order for the above regression to be meaningful, the time series {rt} and {rMt} should be stationary. In particular, the presence of a unit root would undermine the significance of β(r), and therefore threaten the entire basis of the CAPM. Secondly, there should be some form of causality from changes in market returns to changes in security returns. In particular, Granger causality from market returns to security returns must hold.

It is in this context that stationarity and Granger causality should be examined for the security line, as represented by the above regression. As Soufian (2001) has pointed out, in order for the regression analyses used for CAPM and APT (Arbitrage Pricing Theory) tests to be meaningful, it is essential to identify the processes that generate the series. In particular, Granger causality may offer an approach to determining the macroeconomic variables that influence asset returns in general.

Keywords

Capital Asset Pricing Model, Systematic Risk, Market Risk, Regression, Sensitivity, Granger Causality, Stationarity.

How to Cite this Article?

Dash, M. (2017). A Study on Granger Causality in the CAPM. i-manager’s Journal on Management, 11(4), 61-68. https://doi.org/10.26634/jmgt.11.4.13452

References

[1]. Akaike, H., (1969). “Fitting autoregressive models for prediction”. Annals of the Institute of Statistical Mathematics, Vol.21, No.1, pp.243-247.
[2]. Antoniou, A., Garrett, I., and Priestely, R., (1998). “Macroeconomic variables as common pervasive risk factors and the empirical content of the arbitrage pricing theory”. Journal of Empirical Finance, Vol.5, No.3, pp.221-240.
[3]. Born, J.A., and Moser, J.T., (1990). “Bank equity returns and changes in the discount rate”. Journal of Financial Services Research, Vol.4, No.3, pp.223-241.
[4]. Chen, N-F, Roll, R., and Ross, R., (1986). “Economic forces and the stock markets”. Journal of Business, Vol.59, No.3, pp.383-403.
[5]. Connor, G., and Korajczyk, R.A., (1992). “The Arbitrage Pricing Theory and Multifactor Models of Asset Returns”. LSE Financial Markets Group Discussion Paper No. 149, London School of Economics.
[6]. Davidson, S., Faff, R., and Mitchell, H., (2002). “Are Returns in the International Economy Explained by a Single or Multi-factor Structure?” Studies in Econometrics and Economics, Vol.26, No.1, pp.17-32.
[7]. Fama, E., (1991). “Efficient Capital Markets: II”. Journal of Finance, Vol.46, No.5, pp.1575-1617.
[8]. Fama, E., and French, K.R., (1992). “The Cross-section of Expected Stock Returns”. Journal of Finance, Vol.47, No.2, pp.131-155.
[9]. Fama, E., and French, K.R., (1995). “Size and Book-to- Market Factors in Earnings and Returns”. Journal of Finance, Vol.50, No.1, pp.427-465.
[10]. Fama, E., and French, K.R., (1996). “The CAPM is Wanted, Dead or Alive”. Journal of Finance, Vol.51, No.5, pp.1947-1958.
[11]. Fama, E., and French, K.R., (1997). “Industry costs of equity”. Journal of Financial Economics, Vol.43, No.2, pp.153-193.
[12]. Fama, E.F., and McBeth, J.D., (1973). “Risk, return, and equilibrium: empirical test”. Journal of Political Economy, Vol.81, No.3, pp.607-636.
[13]. Granger, C.W.J., (1969). “Investigating causal relation by econometric and cross-sectional method”. Econometrica, Vol.37, pp.424-438.
[14]. Lintner, J., (1965). “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets”. The Review of Economics and Statistics, Vol.47, pp.13-37.
[15]. Malkamäki, M., (1993). Essays on Conditional Pricing of Finnish Stocks, Helsinki: Bank of Finland Publications, Series B.
[16]. Mossin, J., (1966). “Equilibrium in a Capital Asset Market”. Econometrica, Vol.34, No.4, pp.768-783.
[17]. Poon, S., and Taylor, S.J., (1991). “Macroeconomic factors and the UK stock market”. Journal of Business Finance and Accounting, Vol.18, No.5, pp.619-636.
[18]. Ross, S., (1976). “The Arbitrage Theory of Capital Asset Pricing”. Journal of Economic Theory, Vol.13, No.3, pp.341-489.
[19]. Ross, S., (1977). “Return, Risk and Arbitrage”. In Risk and Return in Finance. Cambridge, MA: Ballinger.
[20]. Sharpe, W.B. (1964). “Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk ”. Management Science, Vol.9, No.2, pp.277-293.
[21]. Soufian, N. (2001). “Empirical Content of Capital Asset Pricing Model (CAPM) and Arbitrage Pricing Theory (APT) Across Time”. Manchester Metropolitan University Business School Working Paper Series, WPS010.
[22]. Treynor, J.L., (1961). “Market Value, Time, and Risk”. Unpublished manuscript “Rough Draft” dated 8/8/61, #95-209.
[23]. Wei, J. (1988). “An Asset Pricing Theory Unifying the CAPM and APT”. The Journal of Finance, Vol.43, No.4, pp.881-892.
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