FM – L2 – Q13 – Portfolio theory and CAPM

Unity Ventures have shares in a company which paid a dividend of GH¢10 to its shareholders. The shares have a beta factor of 1.2. The risk-free rate of return and the market return are 15% and 20% respectively.

Required:

(a) Calculate the return on the shares.

(b) Calculate the value of the shares.

(A). Expected returns $(r) = R_{RF} + \beta (R_M – R_{RF})$

Where:

$R_{RF} =$ the risk-free rate of return

$R_M =$ the average return on market

$\beta =$ the beta factor for the company’s equity shares.

Therefore:

Expected returns $(r) = 15% + 1.2 (20% – 15%) = 21%

(B). Value of shares = D / r

Where D = dividend

Therefore:

Value of shares = 10 / .12 = 47.62$