FDR Industries has 50 million shares of stock outstanding selling at $30 per share and an issue of $200 million in 9.5 percent, annual coupon bonds with a maturity of 10 years, selling at 97 percent of par ($1,000). If FDR's weighted average tax rate is 21 percent and its cost of equity is 16 percent, what is FDR's WACC?

We are given with several information. To solve for WACC we just need to solve for he cost of debt whih, is the discount rate the will make the coupon and maturity present value match the market value:

C 95 ( 1,000 x 9.5%)

time 10

rate 0.099879843

[tex]95 \times \frac{1-(1+0.0998798425426551)^{-10} }{0.0998798425426551} = PV\\[/tex]

PV $584.0353

[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]

Maturity 1,000.00

time 10.00

rate 0.099879843

[tex]\frac{1000}{(1 + 0.0998798425426551)^{10} } = PV[/tex]

PV 385.96

PV c $584.0353

PV m $385.9647

Total $970.0000

Now that we got the cost of debt we can solve for the WACC as the rest are givens:

[tex]WACC = K_e(\frac{E}{E+D}) + K_d(1-t)(\frac{D}{E+D})[/tex]

[tex]WACC = 0.16(0.885478158205431) + 0.099879843(1-0.21)(0.114521841794569)[/tex]

WACC 15.07129%

D 194,000,000

E 1,500,000,000

V 1,694,000,000

[tex]WACC = 0.16(0.885478158205431) + 0.099879843(1-0.21)(0.114521841794569)[/tex]

WACC = 15.07%