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The capital asset pricing model versus the three factor model: A United Kingdom Perspective

Chandra Shekhar Bhatnagar, Riad Ramlogan

Open publisher page 24 citations

Abstract

The Sharpe (1964), Lintner (1965) and Black (1972) Capital Asset Pricing Model (CAPM) postulates that the equilibrium rates of return on all risky assets are a linear function of their covariance with the market portfolio. Recent work by Fama and French (1996, 2006) introduce a Three Factor Model that questions the “real world application†of the CAPM Theorem and its ability to explain stock returns as well as value premium effects in the United States market. This paper provides an out-of-sample perspective to the work of Fama and French (1996, 2006). Multiple regression is used to compare the performance of the CAPM, a split sample CAPM and the Three Factor Model in explaining observed stock returns and value premium effects in the United Kingdom market. The methodology of Fama and French (2006) was used as the framework for this study. The findings show that the Three Factor Model holds for the United Kingdom Market and is superior to the CAPM and the split sample CAPM in explaining both stock returns and value premium effects. The real world application of the CAPM is therefore not supported by the United Kingdom data.

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What this paper is about

The Sharpe (1964), Lintner (1965) and Black (1972) Capital Asset Pricing Model (CAPM) postulates that the equilibrium rates of return on all risky assets are a linear function of their covariance with the market portfolio. Recent work by Fama and French (1996, 2006) introduce a Three Factor Model that questions the “real world application†of the CAPM Theorem and its ability to explain stock returns as well as value premium effects in the United States market. This paper provides an out-of-sample perspective to the work of Fama and French (1996, 2006). Multiple regression is used to compare the performance of the CAPM, a split sample CAPM and the Three Factor Model in explaining observed stock returns and value premium effects in the United Kingdom market. The methodology of Fama and French (2006) was used as the framework for this study. The findings show that the Three Factor Model holds for the United Kingdom Market and is superior to the CAPM and the split sample CAPM in explaining both stock returns and value premium effects. The real world application of the CAPM is therefore not supported by the United Kingdom data.

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Available abstract

The Sharpe (1964), Lintner (1965) and Black (1972) Capital Asset Pricing Model (CAPM) postulates that the equilibrium rates of return on all risky assets are a linear function of their covariance with the market portfolio. Recent work by Fama and French (1996, 2006) introduce a Three Factor Model that questions the “real world application†of the CAPM Theorem and its ability to explain stock returns as well as value premium effects in the United States market. This paper provides an out-of-sample perspective to the work of Fama and French (1996, 2006). Multiple regression is used to compare the performance of the CAPM, a split sample CAPM and the Three Factor Model in explaining observed stock returns and value premium effects in the United Kingdom market. The methodology of Fama and French (2006) was used as the framework for this study. The findings show that the Three Factor Model holds for the United Kingdom Market and is superior to the CAPM and the split sample CAPM in explaining both stock returns and value premium effects. The real world application of the CAPM is therefore not supported by the United Kingdom data.

Key concepts: Capital asset pricing model, Economics, Market portfolio, Financial economics, Value premium, Consumption-based capital asset pricing model, Econometrics, Portfolio

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