Stancorp has a $ 14.9 million debt issue outstanding, with a 6.1 % coupon rate. The debt has semi-annual coupons, with the next coupon is due in six months. The debt matures in five years. It is currently priced at 93 % of par value.
a. What is Stancorp's pre-tax cost of debt? Note: Compute the effective annual return.
b. If Stancorp faces a 30 % tax rate, what is its after-tax cost of debt?
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Answer:
a)
Since the debt is currently priced at 93% of par value, its current price is $14.9 million * 0:93 = $13.857 million. The semiannual coupons for the bond are: $14.9Mn*0.061/2 = $454,450
Then the yield of maturity (y) is given by
RATE function in excel or Using a financial calculator
Nper = 5*2 = 10
PV = 13,857,000
FV = 14,900,000
PMT = -454450
= RATE(10,- 454450, 13,857,000, -14,900,000) = 3.909%
EAR = (1+3.909%)^2 -1
= 7.9711%
b)
The after-tax cost of debt for Avicor is:
(1 - TC)rD
= (1-0.3)*0.079711 = 5.580%
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