Question

Suppose a project financed via an issue of debt requires five annual interest payments of $18 million each year. If the tax r

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Answer #1

Given,

Annual interest payment = $18 million

Number of annual payments (n) = 5

Tax rate = 30%

Cost of debt (r) = 5% or 0.05

Solution :-

Annual interest tax shield (A) = Annual interest payment x tax rate

= $18 million x 30% = $5.4 million

Now,

Value of interest rate tax shield

= A/r x [1 - (1 + r)-n]

= $5.4 million/0.05 x [1 - (1 + 0.05)-5]

= $108 million x [1 - (1.05)-5]

= $108 million x [1 - 0.78352616646]

= $108 million x 0.21647383354

= $23.4 million

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