Suppose we have a bond issue currently outstanding that has 25 years left to maturity. The coupon rate is 9% and coupons are paid semiannually. The bond is currently selling for $908.72. If the firm's marginal tax rate is 20%. What's the firm's after-tax cost of debt? O 8.0% O 9.0% O 10.0% O 11.0%
Suppose we have a bond issue currently outstanding that has 25 years left to maturity. The coupon rate is 9% and coupons are paid semiannually. The bond is currently selling for $908.72. If the firm's marginal tax rate is 20%. What's the firm's after-tax cost of debt? O 8.0% O 9.0% O 10.0% O 11.0%
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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![**Problem Statement:**
Suppose we have a bond issue currently outstanding that has 25 years left to maturity. The coupon rate is 9% and coupons are paid semiannually. The bond is currently selling for $908.72. If the firm's marginal tax rate is 20%, what's the firm's after-tax cost of debt?
**Options:**
- 8.0%
- 9.0%
- 10.0%
- 11.0%
**Analysis:**
To find the firm's after-tax cost of debt, calculate the yield to maturity (YTM) first, then adjust for taxes. Here's how you can calculate it:
1. **Yield to Maturity (YTM):** Use the bond pricing formula to find the YTM, considering:
- Coupon Payment = (Coupon Rate/2) * Face Value (assuming Face Value is $1,000)
- Number of Periods = Years to Maturity * 2
2. **After-Tax Cost of Debt Formula:**
\[
\text{After-Tax Cost of Debt} = \text{YTM} \times (1 - \text{Tax Rate})
\]
Once you compute the YTM and apply the tax adjustment, compare it with the provided options to find the correct answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4708e929-c94f-4463-aa83-7f513949f0a2%2Fda8e6f8b-17f2-468d-808b-e0cbf5c0d66e%2Fqpue9yi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Suppose we have a bond issue currently outstanding that has 25 years left to maturity. The coupon rate is 9% and coupons are paid semiannually. The bond is currently selling for $908.72. If the firm's marginal tax rate is 20%, what's the firm's after-tax cost of debt?
**Options:**
- 8.0%
- 9.0%
- 10.0%
- 11.0%
**Analysis:**
To find the firm's after-tax cost of debt, calculate the yield to maturity (YTM) first, then adjust for taxes. Here's how you can calculate it:
1. **Yield to Maturity (YTM):** Use the bond pricing formula to find the YTM, considering:
- Coupon Payment = (Coupon Rate/2) * Face Value (assuming Face Value is $1,000)
- Number of Periods = Years to Maturity * 2
2. **After-Tax Cost of Debt Formula:**
\[
\text{After-Tax Cost of Debt} = \text{YTM} \times (1 - \text{Tax Rate})
\]
Once you compute the YTM and apply the tax adjustment, compare it with the provided options to find the correct answer.
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