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EX1 ABC Bakery went public by issuing 1,000,000 shares of common stock at $12 per share. The shares are currently trading at $20 per share. Current risk free rate is 6%, market risk premium is 8%, and the company has a beta coefficient of 1.2. During last year, ABC bakery issued 50,000 bonds, the face value of bonds is $1,000 and the bonds are currently trading at $820.
a/ Calculate the cost of equity?
b/ If the tax rate is 34%, the cost of debt is 10%, calculate the weighted average cost of capital?
EX2 :Net Sales ???? Cost of Goods Sold $8,800 Depreciation $500 Tax 20% Selling and Administrative Expense $2,500 Interest Payment $347 Dividend Paid $1,400 (30% of net income)

Respuesta :

a)  cost of equity is 8.4%

b) weighted average cost of capital is 7.19%

c) Net sales is $16,814 or  $16,800 (rounded off )

Explanation:

a) Calculation of cost of equity

Under Capital Asset Pricing Model

It takes into account the riskiness of an investment relative to the market. The model is less exact due to the estimates made in the calculation

Ke = Rf + βi × [E(Rm) – Rf]

Where:

Ke = cost of capital

Rf = Risk-free rate of return

βi = Beta of asset i

E(Rm) = Expected market return  

Ke = 6% + 1.2 (8% - 6% )

Ke = 0.06 + 1.2 (0.08 -0.06) = 0.06 + 0.024 =0.084 or 8.4%

[tex]Ke = 0.06 + 1.2 (0.08 -0.06) = 0.06 + 0.024 =0.084 or 8.4%[/tex]

b)  calculation of weighted average cost of capital

weighted average cost of capital  = (VE×Re)+(VD×Rd×(1−Tc))

where:

E=Market value of the firm’s equity  

= $20,000,000 (1,000,000 shares ×$20)

D=Market value of the firm’s debt

= $41,000,000 (50,000 bonds ×  $820)

V=E+D  = $61,000,000

Re=Cost of equity   = 8.4% (Refer to calculation of ke)

Rd=Cost of debt  =  10%

Tc=Corporate tax rate = 34%

V=E+D= $61,000,000

The equity-linked cost of capital

(E/V)×Re=  $20,000,000 ÷$61,000,000 × 0.084 = 0.028

[tex](E/V)×Re= $20,000,000 ÷$61,000,000 × 0.084 = 0.028[/tex]

The debt component

D/V)×Rd×(1−Tc)  =  

$41,000,000 ÷$61,000,000 × 0.10 ×(1-0.34) =0.044

weighted average cost of capital

= 0.028 + 0.044  =  0.719 or  7.19%

​c) calculation of net sales

Net profit = Dividend = (30% of net income) $1,400 ÷30×100 = $4667

Gross profit = Net profit + Depreciation + selling and administrative expenses + interest

Gross profit = 4667+500+2500+ 347 = $8014

[tex]Gross profit = 4667+500+2500+ 347 = $8014[/tex]

Net sales = Gross profit + cost of good sold

Net sales  = $8014 + $8,800 = $16,814

[tex]Net sales = $8014 + $8,800 = $16,814[/tex]

Note :

Tax and dividend has been paid after computing Net income ., so these item does not included for net profit calculation

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