Rappaport Industries has 6,250 perpetual bonds outstanding with a face value of $1,400 each. The bonds have a coupon rate of 6.6 percent and a yield to maturity of 6.9 percent. The tax rate is 40 percent. What is the present value of the interest tax shield?

3,500,000

Explanation

The present value of the interest tax shield can be calculated by first calculating the coupon payment and tax shield on that coupon payment. After calculating the tax shield we can easily calculate the present value of the tax shield

DATA

Number of bonds = 6250

Coupon rate = 6.6%

Face value = $1,400

Tax rate = 40%

Solution

Coupon Payment = No of Bonds x Face value x Coupon Rate

Coupon Payment = (6250 x 1400 x 6.6%)    

Coupon Payment = $577,500    

Tax Shield = $577,500 x 40%    

Tax Shield = $231,000

Present value = Tax shield/Coupon Rate  

Present value = (231,000 /0.066)    

Present value = $3,500,000

hi : ) i found this so i hope this !

"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"

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