Complete Question:
Time Warner shares have a market capitalization of $50 billion. The company is expected to pay a dividend of $0.30 per share and each share trades for $30. The growth rate in dividends is expected to be 7% per year. Also, Time Warner has $15 billion of debt that trades with a yield to maturity of 8%. If the firm's tax rate is 30%, what is the WACC?
Answer:
7.5%
Explanation:
We can calculate WACC using the following formula:
WACC = Ke * MV of Equity / (MV of Equity + MV of Debt) + Kd * MV of Debt / (MV of Equity + MV of Debt)
Here:
Market Value of Equity is $50 billion
Market Value of Debt is $15 billion
Ke is % <u>(Step 1)</u>
Kd is 8%
By putting values, we have:
WACC = 8.07% * $50 Billion / ($50 Billion + $15 Billion) + 8% * $50 Billion / ($50 Billion + $15 Billion)
WACC = <u>7.5%</u>
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<u>Step 1: Calculate Ke</u>
We can calculate Ke using the following formula:
Ke = Do * (1 + g) / P + g
Here
Do is the dividend per share which is $0.3
g is the growth rate which is 7%
And
P is the market value of share which is $30 per share.
Ke = $30 * (1 + 7%) / $30 + 7% = 8.07%