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
icon
Related questions
Question

Solve this practice problem

### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Rate Of Return
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education