Question

Johnny Cake Ltd. has 30 million shares of stock outstanding selling at $40 per share and an issue of $40 million in 8 percent, annual coupon bonds with a maturity of 13 years, selling at 96.5 percent of par ($1,000). If Johnny Cake's weighted average tax rate is 33 percent, its next dividend is expected to be $4.00 per share, and all future dividends are expected to grow at 7 percent per year, indefinitely, what is its WACC

Answer 1

Answer:

WACC = 0.16637 OR 16.637%

Explanation:

WACC or weighted average cost of capital is the cost of a firm's capital structure which can comprise of debt, preferred stock and common equity. The WACC for a firm with only debt and common equity can be calculated as follows,

WACC = wD * rD * (1-tax rate)  +  wE * rE

Where,

• w represents the weight of each component based on market value in the capital structure
• r represents the cost of each component
• D and E represents debt and equity respectively

To calculate WACC, we first need to calculate the Market value an cost of equity.

The market value of equity = 30 million shares * $40 per share

MV of equity = $1200 million

The cost of equity can be found using the formula for Price today (P0) under constant growth model of DDM.

P0 = D1 / (r - g)

40 = 4 / (r - 0.07)

40 * (r - 0.07) = 4

40r - 2.8 = 4

40r = 4+2.8

r = 6.8 / 40

r = 0.17 or 17%

MV of debt = 40 million * 96.5%  => $38.6 million

Total MV of capital structure = 38.6 + 1200 = 1238.6 million

WACC = 38.6/1238.6  *  0.08  *  (1-0.33)  +  1200/1238.6  *  0.17

WACC = 0.16637 OR 16.637%