In: Finance
You own a portfolio equally invested in a risk-free asset and two stocks (If one of the stocks has a beta of 1.54 and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? (Hint: Remember that the market has a Beta=1; also remember that equally invested means that each asset has the same weight- since there are 3 assets, each asset's weight is 1/3 or 0.3333). Enter the answer with 4 decimals (e.g. 1.1234)
Portfolio beta=Respective beta*Respective weight
1=(1.54*1/3)+(Beta of other stock*1/3)+(0*1/3)[NOTE:Beta of market=1;Beta of risk-free assets=0]
1=0.5133+(1/3*Beta of other stock)
Beta of other stock =(1-0.5133)*3
=1.46