Question

Suppose you observe the following situation: Security Beta Expected Return Pete Corp. Repete Co. 1.25 .85 13.28% 10.12 Assume

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Answer #1

Expected return=risk free rate+beta*(market rate-risk free rate)

13.28=Rf+1.25*(Rm-Rf)

13.28=1.25*Rm-0.25Rf

Rm=(13.28+0.25Rf)/1.25

Also:

10.12=Rf+0.85*(Rm-Rf)

10.12=0.85*Rm+0.15Rf

10.12=0.85(13.28+0.25Rf)/1.25+0.15Rf

10.12=9.0304+0.17Rf+0.15Rf

Rf=(10.12-9.0304)/(0.17+0.15)

=3.405%=risk free rate

Rm=(13.28+0.25Rf)/1.25

=11.305%=market rate

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