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Business finance : theory and practice

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CAPM – what went wrong?<br />

CAPM has been subjected to a large number of empirical tests. Most of these have<br />

sought to estimate the beta for a security by regressing the monthly returns (capital<br />

gain plus dividend expressed as a fraction of the security price at the beginning of the<br />

month) against returns from the market portfolio (as we did for Ace plc in Example 7.3).<br />

Since the market portfolio is strictly unobservable (it contains some of every possible<br />

capital investment), a surrogate is used. Typically this is some representative capital<br />

market index (in the UK the Financial Times Stock Exchange All Share Index has been<br />

used for this purpose). Betas tend to be calculated on the basis of monthly returns over<br />

fairly protracted periods such as five years (60 months). As with the market portfolio,<br />

the risk-free rate is not strictly observable – all investments have some risk. Short-term<br />

UK or US government securities have tended to be used as a surrogate for the risk-free<br />

rate, since these are generally accepted as being close to risk-free investments.<br />

The tests have then gone on to assess whether or not CAPM explains the returns for<br />

securities during the period following the one that was used to estimate the betas of<br />

those securities.<br />

In the relatively early days of CAPM, it was broadly the case that the various tests<br />

seemed to support the validity of the model. This, in turn, justified the use of CAPM<br />

in estimating the required return for real investment projects. As a result, CAPM<br />

increasingly became the st<strong>and</strong>ard way that financial managers estimated discount<br />

rates for NPV assessments or hurdle rates if using IRR.<br />

More recently, however, evidence has pretty consistently emerged that seriously<br />

calls the validity of CAPM into question. Fama <strong>and</strong> French (2004) reviewed the evidence<br />

on CAPM over the decades <strong>and</strong> conclude that ‘CAPM’s empirical problems<br />

invalidate its use in applications’.<br />

7.9 CAPM – what went wrong?<br />

All that we have considered so far in this chapter should lead us to ask what is the<br />

matter with CAPM <strong>and</strong> why early tests of its validity tended to support it. The model<br />

seems to be based on impeccable logic, but it does rely on some assumptions that are<br />

clearly invalid. Also still more assumptions need to be made so that the model might<br />

be tested. Here might lie some of the problems. The assumptions that have been<br />

identified as being problematic are:<br />

l<br />

l<br />

l<br />

l<br />

Investors are only concerned with a security’s expected value <strong>and</strong> st<strong>and</strong>ard deviation. It has<br />

been argued that investors are concerned with more about the security than these<br />

measures. If this is true, beta cannot be a complete measure of risk.<br />

A representative stock market index is a reasonable surrogate for the market portfolio. It is<br />

common <strong>practice</strong> to use the returns information from a recognised stock market<br />

index, such as the FTSE all-share index, in place of the ‘market portfolio’. The problem<br />

with this is that the true ‘market portfolio’ contains more than just the shares<br />

listed on the London Stock Exchange. It theoretically contains some of every possible<br />

investment on earth.<br />

Returns from short-term government securities are a reasonable surrogate for the risk-free<br />

rate. It is not strictly possible to view a true risk-free rate, because no investment is<br />

strictly risk-free.<br />

CAPM is an ‘expectations’ model. Strictly the output from the model is what is expected<br />

to occur. Tests of the model, of necessity, test the model on the basis of what<br />

actually has happened.<br />

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