For a large-company equity mutual fund, would you expect the betas to be positive or negative for
Question:
For a large-company equity mutual fund, would you expect the betas to be positive or negative for each of the factors in a Fama–French (2016) multifactor model?
Dawn Browne, an investment broker, has been approached by client Jack Thomas about the risk of his investments. Dawn has recently read several articles concerning the risk factors that can potentially affect asset returns, and she has decided to examine Jack’s mutual fund holdings. Jack is currently invested in the Fidelity Magellan Fund (FMAGX), the Fidelity Low-Priced Stock Fund (FLPSX), and the Baron Small Cap Fund (BSCFX).
Dawn would like to estimate the well-known multifactor model proposed by Fama and French (2016) to determine the risk of each mutual fund.
R it − R Ft = α i + β 1 ( R Mt − R Ft ) + β 2 ( SM B t ) + β 3 ( HM L t ) + β 4 ( RMW ) + β 5 ( CMA ) + ε t In models such as the one Dawn is considering, the alpha (α) term is of particular interest. It is the regression intercept; but, more important, it is also the excess return that the asset earned. In other words, if the alpha is positive, the asset earned a return greater than it should have given its level of risk; if the alpha is negative, the asset earned a return lower than it should have given its level of risk. This measure is called ‘Jensen’s alpha’ and is a very widely used tool for mutual fund evaluation.
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