Question

Your firm currently has $ 100 million in debt outstanding with a 10 % interest rate. The terms of the loan require the firm to repay $ 25 million of the balance each year. Suppose that the marginal corporate tax rate is 40 %​, and that the interest tax shields have the same risk as the loan. What is the present value of the interest tax shields from this​ debt?

Answer 1

Answer:

$8.30 million approx

Explanation:

The computation of the present value of the interest tax shield is shown below:

Year                            0                    1                     2                   3                   4

Outstanding debt    $100 million   $75 million   $50 million    $25 million  $0

Less: Interest                                    $10 million    $7.5 million  $5 million    $2.5 million

Less: Tax shield at 40%                   $4 million      $3 million     $2 million    $1 million of interest

Discount factor at 10%                     0.90909       0.82645        0.75131   0.68301

Present value                                   $3.63 million  $2.48 million  $1.50 million  $0.683 million

So, the present value is $8.30 million approx

The discount factor should be computed below  

= 1 ÷ (1 + rate) ^ years