Question

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The Carrot Investment Bank has the following financing outstanding. What is the WACC for the company?...

The Carrot Investment Bank has the following financing outstanding. What is the WACC for the company?

Debt: 70,000 bonds with a coupon rate of 8 percent and a current price quote of 110.5; the bonds have 20 years to maturity. 300,000 zero coupon bonds with a price quote of 18.5 and 30 years until maturity.

Preferred Stock: 200,000 shares of 5 percent preferred stock with a current price of $80, and a par value of $100

Common Stock: 3,000,000 shares of common stock, the current price is $70, and the beta of the stock is 1.15

Market: The corporate tax rate is 40 percent, the market risk premium is 7 percent, and the risk free rate is 4 percent

Solutions

Expert Solution

Solution :-

Par Value of a Coupon Bond = $100

Coupon Amount = $100 * 8% = $8

Now Price of Bond ( PV ) = $110.50

Time to Maturity = ( N ) = 20

Cost of Coupon Bond ( Kd ) = 7.01%

After Tax Kd = 7.01% * ( 1 - 0.40 ) = 4.206%

Now in case of Zero Coupon Bond

Coupon Payment = 0

Time to Maturity ( N ) = 30

Price ( PV ) = $18.5

Face Value ( FV )= $100

Now Cost of Zero Coupon Bond ( Zd ) = 5.79%

After tax Cost of Zero Coupon Bond = 5.97% * ( 1 - 0.40 ) = 3.582%

Cost of Preferred Stock ( kp )= Dividend / Price = $100 *5% / 80 = 5 / 80 = 0.0625 = 6.25%

Cost of Equity (Ke ) = Rf + Beta ( Risk Premium )  

= 4% + 1.15 * ( 7% )

= 12.05%

Therefore Weighted Average Cost of Capital = 11.21%
If there is any doubt please ask in comments

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