(Related to Checkpoint 9.3) (Bond valuation relationships) You own a bond that pays $110 in annual interest, with a $1,000 par value. It matures in 20 years. The market's required yield to maturity on a comparable-risk bond is 12 percent. a. Calculate the value of the bond. b. How does the value change if the yield to maturity on a comparable-risk bond (i) increases to 14 percent or (ii) decreases to 7 percent? c. Explain the implications of your answers in part b as they relate to interest-rate risk, premium bonds, and discount bonds. d. Assume that the bond matures in 4 years instead of 20 years and recalculate your answers in parts a and b. e. Explain the implications of your answers in part d as they relate to interest-rate risk, premium bonds, and discount bonds. a. What is the value of the bond if the market's required yield to maturity on a comparable-risk bond is 12 percent?

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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**Bond Valuation Relationships**

You own a bond that pays $110 in annual interest, with a $1,000 par value. It matures in 20 years. The market's required yield to maturity on a comparable-risk bond is 12 percent.

**Tasks:**

1. **Calculate the Value of the Bond.**
2. **How Does the Value Change If the Yield to Maturity on a Comparable-Risk Bond:**
   - Increases to 14 percent
   - Decreases to 7 percent

3. **Explain the Implications of Your Answers in Part B** as They Relate to Interest-Rate Risk, Premium Bonds, and Discount Bonds.

4. **Assume the Bond Matures in 4 Years Instead of 20 Years** and Recalculate Your Answers in Parts A and B.

5. **Explain the Implications of Your Answers in Part D** as They Relate to Interest-Rate Risk, Premium Bonds, and Discount Bonds.

---

**Calculation Task:**

- **a.** What is the value of the bond if the market's required yield to maturity on a comparable-risk bond is 12 percent?

   - **Answer:** $ ___ (Round to the nearest cent.)
Transcribed Image Text:**Bond Valuation Relationships** You own a bond that pays $110 in annual interest, with a $1,000 par value. It matures in 20 years. The market's required yield to maturity on a comparable-risk bond is 12 percent. **Tasks:** 1. **Calculate the Value of the Bond.** 2. **How Does the Value Change If the Yield to Maturity on a Comparable-Risk Bond:** - Increases to 14 percent - Decreases to 7 percent 3. **Explain the Implications of Your Answers in Part B** as They Relate to Interest-Rate Risk, Premium Bonds, and Discount Bonds. 4. **Assume the Bond Matures in 4 Years Instead of 20 Years** and Recalculate Your Answers in Parts A and B. 5. **Explain the Implications of Your Answers in Part D** as They Relate to Interest-Rate Risk, Premium Bonds, and Discount Bonds. --- **Calculation Task:** - **a.** What is the value of the bond if the market's required yield to maturity on a comparable-risk bond is 12 percent? - **Answer:** $ ___ (Round to the nearest cent.)
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