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19. The Fama-French-Carhart model is a Four Factor Model that, in addition to the Usual Three Factors present in the Fama-French Model, it has a
19. The Fama-French-Carhart model is a Four Factor Model that, in addition to the Usual Three Factors present in the Fama-French Model, it has a "momentum" factor. The Relationship between the Stock Return and these Factors are given by E [ Tj + .fkt(E[mMkt-Tj) + MBE['sMB] + R1YRE[RPR 1 YR] The Fama-French-Carhart Portfolio Average Returns are Shown Below: Factor Mkt-Risk-Free SMB HML PR1 YR2 Return 0.61% 0.25% 0.38% 0.7% Suppose you are currently considering making an investment in the Fast Food Industry. You Determine the Project has the Same Level of Non-Diversifiable Risk as Investing in McDonald's Stock. You use data over the Past Nine Years to Estimate the Factor Betas of McDonalds Stock. Specifically you Regress the Monthly Return of McDonald's Stock on the Return of Each of the Four-Factor Portfolios. You determine that the Factor Betas for MCD are: = 0.687 SMB-0.299 MCD =-0.156 BREL 0.123 The Current Risk-Free Monthly Rate is 1.5% / 12 = 0.125%. According to Fama-French-Carhart Factor Specification, What is the Cost of Capital of your Project? A, 0.389% B. 0.496% C. 0.595% D. 0.245% E. 0.715%
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