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Time Warner shares have a market capitalization of $ 45 billion. The company just paid a dividend of $ 0.25 per share and each share trades for $ 35. The growth rate in dividends is expected to be 8​% per year. ​ Also, Time Warner has $ 10 billion of debt that trades with a yield to maturity of 7​%. If the​ firm's tax rate is 40​%, compute the​ WACC?

Respuesta :

Answer:

WACC = 7.89%

Explanation:

Lets find "cost of equity" first.

The formula is:

[tex]k_e=\frac{D_1}{P_0}+g[/tex]

Which is basically the next year dividend divided by  stock price summed with growth rate. So cost of equity is:

[tex]k_e=\frac{0.25}{35}+0.08=0.0871[/tex]

Now, "cost of debt":

Formula is:

[tex]k_d=YTM(1-T)[/tex]

Which is the yield to maturity times "1 - tax rate", so it will be:

[tex]k_d=0.07(1-0.4)=0.042[/tex]

WACC formula is:

[tex]WACC=W_e*k_e+W_d*K_d[/tex]

Where

W_e is weight of equity, which is 45/(45+10) = 45/55 = 9/11

W_d is weight of debt, which is 10/(45+10) = 10/55 = 2/11

Now, wacc is:

[tex]WACC=0.0871*\frac{9}{11}+0.042*\frac{2}{11}=0.0789[/tex]

In percentage, 0.0789 * 100 = 7.89%

WACC = 7.89%