Calculate the current yield of a bond with $1,000 face value, 7.50% coupon rate, quarterly coupon payments, and 7 years to maturity if the interest rate (i.e., YTM) is 8.5%?

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
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**Problem Statement**

Calculate the current yield of a bond with $1,000 face value, 7.50% coupon rate, *quarterly* coupon payments, and 7 years to maturity if the interest rate (i.e., YTM) is 8.5%. 

**Solution Explanation**

- **Face Value:** $1,000
- **Coupon Rate:** 7.50%
- **Coupon Payments:** Quarterly
- **Years to Maturity:** 7 years
- **Yield to Maturity (YTM):** 8.5% 

**Steps to Consider for Calculation:**

1. **Determine Annual Coupon Payment:**
   - Annual Coupon Payment = Face Value × Coupon Rate
   - Annual Coupon Payment = $1,000 × 7.50%

2. **Find Quarterly Coupon Payment:**
   - Divide the Annual Coupon Payment by 4 (since payments are quarterly).

3. **Calculate Current Yield:**
   - Current Yield = (Annual Coupon Payment / Current Market Price of the Bond) × 100
   - Note that the Current Market Price would need to be calculated considering the YTM. 

This overview details how to assess and approach calculating bond yields given the specified financial parameters.
Transcribed Image Text:**Problem Statement** Calculate the current yield of a bond with $1,000 face value, 7.50% coupon rate, *quarterly* coupon payments, and 7 years to maturity if the interest rate (i.e., YTM) is 8.5%. **Solution Explanation** - **Face Value:** $1,000 - **Coupon Rate:** 7.50% - **Coupon Payments:** Quarterly - **Years to Maturity:** 7 years - **Yield to Maturity (YTM):** 8.5% **Steps to Consider for Calculation:** 1. **Determine Annual Coupon Payment:** - Annual Coupon Payment = Face Value × Coupon Rate - Annual Coupon Payment = $1,000 × 7.50% 2. **Find Quarterly Coupon Payment:** - Divide the Annual Coupon Payment by 4 (since payments are quarterly). 3. **Calculate Current Yield:** - Current Yield = (Annual Coupon Payment / Current Market Price of the Bond) × 100 - Note that the Current Market Price would need to be calculated considering the YTM. This overview details how to assess and approach calculating bond yields given the specified financial parameters.
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