Question

At the present time, Perpetualcold Refrigeration Company (PRC) has 10-year noncallable bonds with a face value of $1,000 that are outstanding. These bonds have a current market price of $1,278.41 per bond, carry a coupon rate of 11%, and distribute annual coupon payments. The company incurs a federal-plus-state tax rate of 45%. If PRC wants to issue new debt, what would be a reasonable estimate for its after-tax cost of debt (rounded to two decimal places)? 3.10% 3.87% 3.48% 4.64%

Answer 1

Answer:

The correct answer is 4.33%(approx)

Explanation:

According to the scenario, the given data are as follows:\

Face value = $1,000

Market price = $1,278.41

Coupon Rate = 11%

So Coupon Payment = $110

Years to maturity = 10 years

So, we can calculate the after tax cost of debt by using following method:

After Tax Cost of Debt = YTM × ( 1 - Rate of Tax)

Where, YTM = $\frac{C + \frac{F - P}{T} }{\frac{F + P}{2} }$

So, by putting the following value, we get

YTM = 0.0721

So by putting the value in formula, we get

After Tax Cost of Debt = 0.0721 × ( 1 - 0.4)

= 4.33% (approx)