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A firm is 30% debt and 70% equity

Finance Oct 12, 2020

A firm is 30% debt and 70% equity.  The firm's tax rate is 40%.  Their bonds trade for $990, mature in five years, and have a coupon rate of 8% paid annually.  The firm's common stock trades at $15 per share and just paid a dividend of $3per share.  The dividends are expected to grow at a rate of 3% per year forever.

The bond's yield is ____ % 

The required rate of return for the company's common stock is ____ %.

The cost of financing for this firm (WACC) is_____ %.

Expert Solution

We can calculate the bond's yield by using the following formula in excel:-

=rate(nper,pmt,-pv,fv)

Here,

Rate = Bond's yield

Nper = 5 periods

Pmt = Coupon payment = $1,000*8% = $80

PV = $990

FV = $1,000

Substituting the values in formula:

= rate(5,80,-990,1000)

= 8.25%

 

Computation of the required rate of return (Cost of common equity):-

Required rate of return = (D1 / Current stock price) + Growth rate

= ($3 * (1 + 3%) / $15) + 3%

= ($3.09 / $15) + 3%

= 20.60% + 3%

= 23.60%

 

Computation of the WACC:-

WACC = (Weight of debt * After tax cost of debt) + (Weight of equity * Cost of equity)

= (30% * 8.25% * (1 - 40%)) + (70% * 23.60%)

= 1.49% + 16.52%

= 18.01%

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