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Using the cost of debt approximation formula, determine the pre-tax cost for a bond that sells at $ 925 par value and pays a coupon of $ 85 for 20 years

Finance Dec 23, 2020

Using the cost of debt approximation formula, determine the pre-tax cost for a bond that sells at $ 925 par value and pays a coupon of $ 85 for 20 years. The flotation costs are $ 5 per bond. You must show the calculations to receive a score for your answer. Problem 2: For the case in problem 3, calculate the cost of debt after taxes if the company's tax liability is 40%. You must show the calculations to receive a score for your answer.

Expert Solution

1) YTM = Interest +(Face value -current market price less floatation cost/n) / (Face value + current market price less floatation cost/2)

Here interest = 85 $

Face value = $ 1000

Current market price less floatation cost = 925 - 5 = 920 $

n = no of coupon payment = 20

Thus YTM = 85 + (1000 - 920)/20 / ( (1000+920 )/2

= 85 + (80/20) / 1920/2

= 85 + 4 / 960

= 89/960

= 0.0927

i.e 9.27 %

Thus pre tax cost of debt = 9.27%

2) After tax cost of debt = before tax cost of debt(1-tax rate)

= 9.27%(1-40%)

= 5.56 %

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