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Suppose we have a bond issue currently outstanding that has 25 years left to maturity

Finance Nov 12, 2020

Suppose we have a bond issue currently outstanding that has 25 years left to maturity. The

coupon rate is 9% and coupons are paid semiannually. The bond is currently selling for

$908.72 per $1,000 bond. What is the cost of debt?

A.

5.0%

B.

9.0%

C.

10.0%

D.

11.5%

E.

none of the abov

Expert Solution

Computation of Cost of Debt using Rate Function in Excel:

=rate(nper,pmt,-pv,fv)*2

Here,

Rate = Cost of Debt = ?

Nper = Number of Periods to Maturity = 25 years*2 = 50 Periods

PMT = Semiannual Coupon Payment = $1,000*9%/2 = $45

PV = Current Selling Price = $908.72

FV = Face Value = $1,000

Substituting the values in formula:

=rate(50,45,-908.72,1000)*2

Rate or Cost of Debt = 10%

 

So, the correct option is C "10%".

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