What is the yield to maturity of a one-year, risk-free, zero-coupon bond with a $5,000 face value and a price of $4,550 when released? ..... O A. 9.89% B. 4.945% O C. 0.018% O D. 9%

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
**Question:**

What is the yield to maturity of a one-year, risk-free, zero-coupon bond with a $5,000 face value and a price of $4,550 when released?

**Options:**

- **A.** 9.89%
- **B.** 4.945%
- **C.** 0.018%
- **D.** 9% 

**Analysis:**

The problem involves calculating the yield to maturity (YTM) for a zero-coupon bond. This bond type pays no periodic interest and is sold at a discount from its face value. The YTM is essentially the bond's annualized return if held to maturity. 

In this instance, the bond's face value is $5,000, and the initial purchase price is $4,550. The solution requires determining which percentage yield accurately represents this scenario.
Transcribed Image Text:**Question:** What is the yield to maturity of a one-year, risk-free, zero-coupon bond with a $5,000 face value and a price of $4,550 when released? **Options:** - **A.** 9.89% - **B.** 4.945% - **C.** 0.018% - **D.** 9% **Analysis:** The problem involves calculating the yield to maturity (YTM) for a zero-coupon bond. This bond type pays no periodic interest and is sold at a discount from its face value. The YTM is essentially the bond's annualized return if held to maturity. In this instance, the bond's face value is $5,000, and the initial purchase price is $4,550. The solution requires determining which percentage yield accurately represents this scenario.
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
  • SEE MORE 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