Answer:
Required risk free rate for two stocks to be correctly priced would be <u>2.20%</u>.
Explanation:
In order to determine this, the Capital Asset Pricing Model (CAPM) formula is used as follows:
Rs = Rf + (Beta * MR) .................................... (1)
Where;
<u>For Stock Y:</u>
Rs = Expected return on stock = 11.2%, or 0.112
Rf = Risk free return = ?
Beta = 0.9
MR = Market risk premium = ?
Substituting the values into equation (1), we have:
0.112 = Rf + (0.9 * MR) ................................. (2)
<u>For Stock Z:</u>
Rs = Expected return on stock = 7.2%, or 0.072
Rf = Risk free return = ?
Beta = 0.5
MR = Market risk premium = ?
Substituting the values into equation (1), we have:
0.072 = Rf + (0.5 * MR) ................................. (3)
If we deduct equation (3) from equation (2) and solve for MR, we have:
(0.112 - 0.072) = (Rf - Rf) + (0.9MR - 0.5MR)
0.04 = 0 + 0.4MR
MR = 0.04 / 0.4
MR = 0.10, or 10%
Substituting MR = 0.01 into equation (2) and solve for Rf, we have:
0.112 = Rf + (0.9 * 0.10)
0.112 = Rf + 0.09
Rf = 0.112 - 0.09
Rf = 0.022, or 2.20%
Therefore, required risk free rate for two stocks to be correctly priced would be <u>2.20%</u>.
