Answer:
a. The expected return on the market is 10.89%
b. The risk-free rate is 1.52%
Explanation:
In order to calcuate the expected return on the market and the he risk-free rate we would have to use the following formulas:
Expected return=risk-free rate +Beta*(market rate- risk-free rate )
13.23=Rf+1.25*(Rm-Rf)
13.23=1.25Rm-0.25Rf
Rm=(13.23+0.25Rf)/1.25
To calculate the risk free rate, we use the following:
9.67=Rf+0.87*(Rm-Rf)
9.67=0.13Rf+0.87Rm
9.67=0.13Rf+0.87*(13.23+0.25Rf)/1.25
9.67=0.13Rf+9.20808+0.174Rf
Rf=(9.67-9.20808)/(0.13+0.174)
=1.52%(Approx)=risk free rate
Rm=(13.23+0.25Rf)/1.25
=10.89%(Approx)=market rate
