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Consider two large diversified portfolios A and B

Finance Dec 25, 2020

Consider two large diversified portfolios A and B. Portfolio A has a beta of 1.0 and an expected return of 13%. Portfolio B has a beta of 2.0 and an expected return of 26%. The risk-free rate is 4%. Are the expected returns and betas consistent with a single-factor model? O No O Yes O Cannot be determined

Expert Solution

Portfolio A:

ß = 1

Expected return = 13%

Rf = 4%

Ke = Rf + ß ( Rm - Rf )

= 4% + 1 ( 13% - 4% )

= 13%

Portfolio A expected return and ß are consistent with the single factor model.

Portfolio B:

ß = 2

Expected return = 26%

Rf = 4%

Ke = Rf + ß ( Rm - Rf )

= 4% + 2 ( 26% - 4% )

= 48%

Portfolio B expected return and ß are not consistent with the single factor model

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