Answer:
The average beta of the new stocks would be 1.75 to achieve the target required rate of return
Step-by-step explanation:
In order to calculate the average beta of the new stocks to achieve the target required rate of return we would have to calculate the following:
average beta of the new stocks = (Required Beta-(portfolio /total fund) *old beta)/(additional portfolio/total fund)
To calculate the Required Beta we would have to use the formula of Required rate of return as follows:
Required rate of return=Risk free return + (market risk premium)*beta
0.13=0.0425+(0.06*Required Beta)
Required Beta = (0.13-0.0425)/0.06
Required Beta = 1.45
Therefore, average beta of the new stocks =(1.45-($40/$100) *1)/($60/$100)
average beta of the new stocks =1.05/0.6
average beta of the new stocks =1.75
The average beta of the new stocks would be 1.75 to achieve the target required rate of return