6) per year compounded quarterly. If John wishes to earn 8% per year compounded quarterly on the bond investment, should he purchase the bond assuming he keeps the bond till it matures and then redeems it at face value? Explain. Show all work. A $10,000, 10-year corporate bond is offered at a premium for $11,000. The bond rate is 10%

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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**Corporate Bond Investment Analysis**

This problem examines the decision to purchase a corporate bond under specific financial conditions. The scenario is as follows:

**Bond Details:**
- **Face Value:** $10,000
- **Maturity Period:** 10 years
- **Offered Price:** $11,000 (bond is offered at a premium)
- **Bond Rate:** 10% per year, compounded quarterly

**Investor's Requirement:**
- **Desired Rate of Return:** 8% per year, compounded quarterly

**Decision Analysis:**
John wants to determine if buying the bond aligns with his financial goal of earning an 8% annual return, compounding quarterly. The solution involves calculating whether the bond's yield matches or exceeds this required rate of return if he retains the bond until maturity and redeems it at face value.

To solve this, you would typically calculate the bond's yield to maturity (YTM) and compare it with the desired rate of return. The YTM involves finding the rate "r" that satisfies the equation for the present value (PV) of future cash flows (bond interest payments and redemption at face value) equating to the purchase price ($11,000).

**Key Steps to Solve:**
1. **Cash Flow Analysis:**
   - Regular interest payments calculated based on the bond's compounding schedule.
   - Redemption of the bond at face value at maturity.

2. **Calculate Present Value:**
   - Use the formula for present value of annuity and single sum to derive the YTM.
   - Compare with the desired return of 8% quarterly compounded.

**Conclusion:**
Show the mathematical work to reach a conclusion, stating whether the actual YTM meets or exceeds John’s expectation, guiding the purchase decision.
Transcribed Image Text:**Corporate Bond Investment Analysis** This problem examines the decision to purchase a corporate bond under specific financial conditions. The scenario is as follows: **Bond Details:** - **Face Value:** $10,000 - **Maturity Period:** 10 years - **Offered Price:** $11,000 (bond is offered at a premium) - **Bond Rate:** 10% per year, compounded quarterly **Investor's Requirement:** - **Desired Rate of Return:** 8% per year, compounded quarterly **Decision Analysis:** John wants to determine if buying the bond aligns with his financial goal of earning an 8% annual return, compounding quarterly. The solution involves calculating whether the bond's yield matches or exceeds this required rate of return if he retains the bond until maturity and redeems it at face value. To solve this, you would typically calculate the bond's yield to maturity (YTM) and compare it with the desired rate of return. The YTM involves finding the rate "r" that satisfies the equation for the present value (PV) of future cash flows (bond interest payments and redemption at face value) equating to the purchase price ($11,000). **Key Steps to Solve:** 1. **Cash Flow Analysis:** - Regular interest payments calculated based on the bond's compounding schedule. - Redemption of the bond at face value at maturity. 2. **Calculate Present Value:** - Use the formula for present value of annuity and single sum to derive the YTM. - Compare with the desired return of 8% quarterly compounded. **Conclusion:** Show the mathematical work to reach a conclusion, stating whether the actual YTM meets or exceeds John’s expectation, guiding the purchase decision.
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