An empirical evaluation of capital asset pricing models on the JSE

Date
2014-03-07
Authors
Sacco, Gianluca Michelangelo
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Abstract
The Capital Asset Pricing Model (CAPM), as introduced by Markowitz (1952), Sharpe (1964), Lintner (1965), Black (1972) and Mossin (1966), offers powerful and intuitively pleasing predictions about the risk and return relationship that is expected when investing in equities. Studies on the empirical strength of the CAPM such as Fama and French (1992), however, indicate that the model does not reflect the share return actually obtained on the equity market. Attempting to improve the model, Fama and French (1993) enhanced the original CAPM by incorporating other factors which may be relevant in predicting the return on share investments, specifically, the book – to – market ratio and the market capitalisation of the entity. Carhart (1997) further attempted to improve the CAPM by incorporating momentum analysis together with the 3 factors identified by Fama and French (1993). This research report empirically evaluates the accuracy of the above three models in calculating the cost of equity on the Johannesburg Stock Exchange over the period 2002 to 2012. Portfolios of shares were constructed based on the three models for the purposes of this evaluation. The results indicate that the book-to-market ratio and market capitalisation are able to add some robustness to the CAPM, but that the results of formulating book – to – market and market capitalization portfolios is highly volatile and therefore may lead to inconsistent results going forward. By incorporating the short run momentum effect, the robustness of the CAPM is improved substantially, as the Carhart model comes closest to reflecting what, for the purposes of this study, represents the ideal performance of an effective asset pricing model. The Fama and French (1993) and Carhart (1997) models therefore present a step forward in formulating an asset pricing model that will hold up under empirical evaluation, where the expected cost of equity is representative of the total return that can be expected from investing in a portfolio of shares. It is however established that the additional factors indicated above are volatile, and this volatility may influence the results of a longer term study.
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Keywords
Capital assets pricing model, Johannesburg Stock Exchange, Stocks, Prices
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