What is the price of a three-years to maturity risky bond that pays 3% annual coupon if the callable at face value (assuming a face value of $100)? What is the dollar value of the embedded call option? Note: An identical bond is currently trading with an OAS of 200 bps, and your analysis of inte suggest that the proportional standard deviation of interest rates is 20%.

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
## Price of a Risky Callable Bond

### Yield Curve Explanation

The graph displayed above represents the yield curve for US Treasury Strips, specifically the BVAL curve. The x-axis illustrates the tenor, which is the time to maturity, measured in years, while the y-axis represents the yield, expressed in percentage points.

- The curve generally slopes upwards, indicating that longer tenors are associated with higher yields. This reflects the common market expectation that investments with longer maturity dates demand higher returns, compensating investors for increased risk over time.

#### Detailed Data Points:
- **3H to 30Y Tenors**: Specific data points are marked on the curve for selected tenors ranging from 3 hours (3H) to 30 years (30Y). Notable values are provided both on the curve graph and in tabular form below.
  
- **Yield Values**:
  - **3H (hours):** 0.428%
  - **6H:** 0.478%
  - **1Y (year):** 0.582%
  - **2Y:** 0.802%
  - **3Y:** 1.006%
  - **4Y:** 1.187%
  - **5Y:** 1.363%
  - **7Y:** 1.670%
  - **8Y:** 1.793%
  - **9Y:** 1.893%
  - **10Y:** 1.981%
  - **20Y:** 2.329%
  - **25Y:** 2.517%
  - **30Y:** 2.379%

### Table of Spot Rates

Below the graph, a table lists spot rates for specific tenors ranging from 1 year to 10 years. These spot rates are:

| Tenor (yr) | Spot Rate |
|------------|-----------|
| 1          | 0.58%     |
| 2          | 0.80%     |
| 3          | 1.01%     |
| 4          | 1.19%     |
| 5          | 1.36%     |
| 6          | 1.67%     |
| 7          | 1.67%     |
| 8          | 1.79%     |
| 9          | 1.89%     |
| 10         |
Transcribed Image Text:## Price of a Risky Callable Bond ### Yield Curve Explanation The graph displayed above represents the yield curve for US Treasury Strips, specifically the BVAL curve. The x-axis illustrates the tenor, which is the time to maturity, measured in years, while the y-axis represents the yield, expressed in percentage points. - The curve generally slopes upwards, indicating that longer tenors are associated with higher yields. This reflects the common market expectation that investments with longer maturity dates demand higher returns, compensating investors for increased risk over time. #### Detailed Data Points: - **3H to 30Y Tenors**: Specific data points are marked on the curve for selected tenors ranging from 3 hours (3H) to 30 years (30Y). Notable values are provided both on the curve graph and in tabular form below. - **Yield Values**: - **3H (hours):** 0.428% - **6H:** 0.478% - **1Y (year):** 0.582% - **2Y:** 0.802% - **3Y:** 1.006% - **4Y:** 1.187% - **5Y:** 1.363% - **7Y:** 1.670% - **8Y:** 1.793% - **9Y:** 1.893% - **10Y:** 1.981% - **20Y:** 2.329% - **25Y:** 2.517% - **30Y:** 2.379% ### Table of Spot Rates Below the graph, a table lists spot rates for specific tenors ranging from 1 year to 10 years. These spot rates are: | Tenor (yr) | Spot Rate | |------------|-----------| | 1 | 0.58% | | 2 | 0.80% | | 3 | 1.01% | | 4 | 1.19% | | 5 | 1.36% | | 6 | 1.67% | | 7 | 1.67% | | 8 | 1.79% | | 9 | 1.89% | | 10 |
**Question:**

What is the price of a three-year-to-maturity risky bond that pays a 3% annual coupon if the bond is callable at face value (assuming a face value of $100)?

What is the dollar value of the embedded call option?

**Note:** An identical bond is currently trading with an OAS (Option Adjusted Spread) of 200 basis points, and your analysis of interest rates suggests that the proportional standard deviation of interest rates is 20%.
Transcribed Image Text:**Question:** What is the price of a three-year-to-maturity risky bond that pays a 3% annual coupon if the bond is callable at face value (assuming a face value of $100)? What is the dollar value of the embedded call option? **Note:** An identical bond is currently trading with an OAS (Option Adjusted Spread) of 200 basis points, and your analysis of interest rates suggests that the proportional standard deviation of interest rates is 20%.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Effect Of Interest Rate
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.
Similar questions
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