Costly Corporation plans a new issue of bonds with a par value of $1000, a maturity of 30 years, and an annual coupon rate of 13.0%. Flotation costs associated with a new debt issue would equal 8.0% of the market value of the bonds. Currently, the appropriate discount rate for bonds of firms similar to Costly is 17.0%. The firm's marginal tax rate is 30%. What will the firm's true cost of debt be for this new bond issue?
18.48% |
12.93% |
14.17% |
9.92% |
20.75% |
Use below excel formula
RATE(nper,pmt,pv,fv,type,guess)
Nper is the total number of payment periods in an annuity.
Pmt is the payment made each period and cannot change over the life of the annuity. Typically, pmt includes principal and interest but no other fees or taxes. If pmt is omitted, you must include the fv argument.
Pv is the present value — the total amount that a series of future payments is worth now.
Fv is the future value, or a cash balance you want to attain after the last payment is made. If fv is omitted, it is assumed to be 0
=RATE(30,130,-920,1000) |
Nper = 30 years
Payment = 13% of 1000 = 130
PV = (1000-80) = 920; since 8% is flotation cost so 8% of 1000 is 80
FV = 1000
Before tax cost will be 14.15%
After tax cost = 14.15% * (1-30%) = 14.15% * 0.7 = 9.92% .......Answer
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