Intrinsic Value •+ (1+0)³ (1+C)¹ B (1+0)³ + (1+0)² + (1+0) ³ ·+ (1+0)² + (1+0)6+; (1+0) mplete the following table by identifying the appropriate corresponding variables used in the equation. Inknown Variable Name Bond's semiannual coupon payment Bond's par value Semiannual required return sed on this equation and the data, it is reasonable Variable Value $25.00 $1,000 3.8125% to expect that Oliver's potential bond investment is currently exhibiting an intrinsic
Intrinsic Value •+ (1+0)³ (1+C)¹ B (1+0)³ + (1+0)² + (1+0) ³ ·+ (1+0)² + (1+0)6+; (1+0) mplete the following table by identifying the appropriate corresponding variables used in the equation. Inknown Variable Name Bond's semiannual coupon payment Bond's par value Semiannual required return sed on this equation and the data, it is reasonable Variable Value $25.00 $1,000 3.8125% to expect that Oliver's potential bond investment is currently exhibiting an intrinsic
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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![### Intrinsic Value Formula and Calculation for Bonds
The intrinsic value of a bond is determined using the following equation:
\[ \text{Intrinsic Value} = \frac{A}{(1+C)^1} + \frac{A}{(1+C)^2} + \frac{A}{(1+C)^3} + \frac{A}{(1+C)^4} + \frac{A}{(1+C)^5} + \frac{A}{(1+C)^6} + \frac{B}{(1+C)^6} \]
### Table of Variables
| Unknown | Variable Name | Variable Value |
|---------|------------------------------------|-----------------|
| A | Bond’s semiannual coupon payment | $25.00 |
| B | Bond’s par value | $1,000 |
| C | Semiannual required return | 3.8125% |
Based on this equation and the data, it is reasonable to expect that Oliver’s potential bond investment is currently exhibiting an intrinsic value less than $1,000.
### Scenario Analysis
Consider the situation in which Oliver wants to earn a return of 13%, but the bond being considered for purchase offers a coupon rate of 10.00%. Assume that the bond pays semiannual interest payments and has three years to maturity. If you round the bond’s intrinsic value to the nearest whole dollar, its intrinsic value is (rounded) relative to its par value, indicating whether the bond is trading at a discount, premium, or at par.
### Conclusion
Given your computation and conclusions, which of the following statements is true?
- ○ When the coupon rate is less than Oliver’s required return, the bond should trade at a discount.
- ○ A bond should trade at par when the coupon rate is less than Oliver’s required return.
- ○ When the coupon rate is less than Oliver’s required return, the intrinsic value will be greater than its par value.
- ○ When the coupon rate is less than Oliver’s required return, the bond should trade at a premium.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf434c73-38f1-4a89-b981-edd99d760c82%2Fb439f0bb-6749-4c97-adcf-b6bebe46208c%2Fhwy7hwj_processed.png&w=3840&q=75)
Transcribed Image Text:### Intrinsic Value Formula and Calculation for Bonds
The intrinsic value of a bond is determined using the following equation:
\[ \text{Intrinsic Value} = \frac{A}{(1+C)^1} + \frac{A}{(1+C)^2} + \frac{A}{(1+C)^3} + \frac{A}{(1+C)^4} + \frac{A}{(1+C)^5} + \frac{A}{(1+C)^6} + \frac{B}{(1+C)^6} \]
### Table of Variables
| Unknown | Variable Name | Variable Value |
|---------|------------------------------------|-----------------|
| A | Bond’s semiannual coupon payment | $25.00 |
| B | Bond’s par value | $1,000 |
| C | Semiannual required return | 3.8125% |
Based on this equation and the data, it is reasonable to expect that Oliver’s potential bond investment is currently exhibiting an intrinsic value less than $1,000.
### Scenario Analysis
Consider the situation in which Oliver wants to earn a return of 13%, but the bond being considered for purchase offers a coupon rate of 10.00%. Assume that the bond pays semiannual interest payments and has three years to maturity. If you round the bond’s intrinsic value to the nearest whole dollar, its intrinsic value is (rounded) relative to its par value, indicating whether the bond is trading at a discount, premium, or at par.
### Conclusion
Given your computation and conclusions, which of the following statements is true?
- ○ When the coupon rate is less than Oliver’s required return, the bond should trade at a discount.
- ○ A bond should trade at par when the coupon rate is less than Oliver’s required return.
- ○ When the coupon rate is less than Oliver’s required return, the intrinsic value will be greater than its par value.
- ○ When the coupon rate is less than Oliver’s required return, the bond should trade at a premium.
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