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Your task is to find the cost of capital (WACC) for a company

Finance Jan 19, 2021

Your task is to find the cost of capital (WACC) for a company. The company has three sources of capital available. The marginal tax rate for the company is 20%.

Debt: 5000 discount bonds with $500 par value, with 6 year to maturity. Bonds currently offer 4% yield to bondholders.

Preferred stock: 24 000 shares outstanding with $110 market price and 5% yield.

Common stock: 200 000 shares outstanding with the book value of $20 but currently trading at P/B=2.0. One may apply CAPM to estimate the cost of equity. Inputs for estimations are: risk free rate 2.0%, expected market return (Rm) 10.0% and the stock beta is 1.5.

Find the cost of each financing source, capital structure weights for each source and finally WACC.

Expert Solution

Calculation of cost of financing of each source:

Cost of debt = Coupon rate * (1-tax rate) = 4% * (1-20%) = 4% * 80% = 3.2%

Cost of preference share = Yield rate = 5%

Cost of equity = Rf + [B * (Rm - Rf)] = 2% + [1.5 * (10% - 2%)] = 2% + [1.5 * 8%] = 2% + 12% = 14%

Calculation of capital structure weight of each source:

Exsiting structure:

Debt = 5000 bond * $500 = $2,500,000

Preference shares = 24,000 shares * $110 = $2,640,000

Equity shares = 200,000 shares * $20 * 2 = $8,000,000

Total Capital = $2,500,000 + $2,640,000 + $8,000,000 = $13,140,000

weight:

Debt = $2,500,000 / $13,140,000 = 19.03%

Preference shares = $2,640,000 / $13,140,000 = 20.09%

Equity shares = $8,000,000 / $13,140,000 = 60.88%

Calculation of WACC:

WACC = [(cost of debt * weight of debt) + (cost of preference share * weight of preference share) + (cost of equity share * weight of equity share)]

WACC = [(3.2% * 19.03%) + (5% * 20.09%) + (14% * 60.88%)]

WACC = [0.61% + 1% + 8.52%]

WACC = 10.13%

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