Answer:
the portfolio's return will be Ep(r)= 9.2 %
Explanation:
if the stock lies on the security market line , then the expected return will be
Ep(r) = rf + β*( E(M)- rf)
where
Ep(r) = expected return of the portfolio
rf= risk free return
E(M) = expected return of the market
β = portfolio's beta
then
Ep(r) = rf + β*( E(M)- rf)
E(M) = (Ep(r) - rf ) / β + rf
replacing values
E(M) = (Ep(r) - rf ) / β + rf
E(M) = ( 17.2% - 3.2%) /1.4 + 3.2% = 13.2%
since the stock and the risk free asset belongs to the security market line , a combination of both will also lie in this line, then the previous equation of expected return also applies.
Thus for a portfolio of β=0.6
Ep(r) = rf + β*( E(M)- rf) = 3.2% + 0.6*(13.2%-3.2%) = 9.2 %
Ep(r)= 9.2 %
