Waller, inc., is trying to determine its cost of debt. the firm has a debt issue outstanding with 20 years to maturity twith a current price of $854. the issue makes semiannual payments and has coupon rate of 5 percent. if the tax rate is 0.39, what is the aftertax cost of debt

The after-tax cost of debt : 3.90%.

Explanation:

The semi-annual coupon = 1,000 x 5% /2 = $25.

The before-tax cost of debt, denoted as i, is the yield to maturity of the company's debt, which is calculated as below:

(25/i) x [1 - (1+i)^-40] + 1,000/(1+i)^40 = 854 <=> i = 3.147%.

=> Because the debt is semi-annual compounded, we have the: Effective annual rate = Before-tax cost of debt =  ( 1+ 3.147%)^2 -1 = 6.39%.

=> After tax cost of debt = Before tax cost of debt x ( 1 - tax rate) = 6.39% x ( 1 - 0.39) = 3.90%.

So, the answer is 3.90%.

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