The expected return on equity for Company Y is:
= 0.21 or 21%
Explanation:
a) Data and Calculations:
Company X Company Y
Market value of assets 1,000 1,000
Equity 1,000 500
Debt 0 500
Expected return on equity 15%
Expected return on debt 9%
Return on Company X = 150 (1,000 * 15%)
Return on Company Y debt = 500 * 9% = 45
Return on Company Y equity = (150 - 45)/500 = 0.21
b) Under perfect capital market conditions, the total return for Company Y will be equal to 150 as in Company X. The rate of return will then be determined after subtracting the interest on debt (500 * 9%). This will leave 105 as the return for equity. This amount is then divided by the value of equity to derive the rate of return.