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Jupiter Ltd wants to calculate its weighted average cost of capital (WACC)

Finance Dec 25, 2020

Jupiter Ltd wants to calculate its weighted average cost of capital (WACC). The company’s financial manager has collected the following information: • The company recently issued a long-term bond at $1,000 of par. It pays $40 coupon interest every six months. The bond is still traded at par value in the market. • Long-term Treasury bond yield is 6% and short-term Treasury bill yield is 4%. • S&P 500 index’s expected return is 10%. • The estimate of beta for the company is 1.3. This estimate is expected to remain stable in the future as well. • The company’s stock price is $32 per share and $30 per share for the common stock and preferred stock, respectively. • The company recently paid a common stock dividend of $2 per share and a preferred stock dividend of $2.5 per share. • The company pays a 10% and 7% flotation costs whenever it issues new common stock and preferred stock, respectively. • The company’s common stock dividend is expected to grow at a constant rate of 6% while the preferred stock dividend is fixed. • The company’s optimal capital structure is 70% common equity, 5% preferred stock and 25% debt. • The company’s tax rate is 40%. • The company anticipates issuing new common stocks during the upcoming year.

d. What is Jupiter’s cost of preferred stock after taking the flotation costs into consideration? (2 marks)

e. What is the best estimate of Jupiter’s WACC? (2 marks)

Expert Solution

Cost of preference shares = Dividend/Price per share(1-floatation cost)

Dividend = 2.5 $ per share

Price per share = $ 30

Floatation cost = 7%

Thus cost of preference shares = 2.5/30(1-7%)

= 2.5 / 30(0.93)

= 2.5/27.9

= 0.0896

i.e 8.96%

e. Here YTM = Coupon rate as bond is selling at par

Thus YTM = 40/1000 x 2

= 4% x 2

= 8%

After tax cost of debt = 8%(1-tax rate)

=8%(1-40%)

=8%(0.6)

= 4.8%

cost of equity = Dividend of next period/Price per share(1-floatation cost) + growth rate

Growth rate = 6%

Price per share = $32

Floatation cost = 10%

Dividend for next period = dividend paid(1+growth rate)

= 2(1+6%)

=2(1+0.06)

=2(1.06)

= 2.12$

Thus cost of equity = 2.12 / 32(1-10%) + 6%

= 2.12/32(0.9) + 6%

= 2.12/28.8 + 0.06

= 0.0736 + 0.06

= 0.1336

i.e 13.36%

Statement showing WACC

Particulars Weight Cost of capital WACC
a b c =axb
Equity 70% 13.36% 9.35%
Pref shares 5% 8.96% 0.45%
Debt 25% 4.80% 1.20%
WACC     11.00%

Thus WACC = 11%

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