Consider 3-year 6% bond with the par of $100 and semi- annual coupon payments. The YTM of the bond is 8%. Also, suppose that the dollar duration is 253.96. What would be the bond price if the yield were 9%? What would be the price change due to duration? What would be the price change due to convexity?

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
Consider 3-year 6% bond with the par of $100 and semi-
annual coupon payments. The YTM of the bond is 8%.
Also, suppose that the dollar duration is 253.96.
What would be the bond price if the yield were 9%? What
would be the price change due to duration? What would be
the price change due to convexity?
Price = 97.26; Change due to Duration = +2.54; Change due to
Convexity = -0.04
Price = 96.84; Change due to Duration = +2.12 ; Change due to
Convexity = -0.04
Price = 92.26; Change due to Duration = -2.54; Change due to
Convexity = +0.04
Price = 92.68; Change due to Duration = -2.12 ; Change due to
Convexity = +0.04
Transcribed Image Text:Consider 3-year 6% bond with the par of $100 and semi- annual coupon payments. The YTM of the bond is 8%. Also, suppose that the dollar duration is 253.96. What would be the bond price if the yield were 9%? What would be the price change due to duration? What would be the price change due to convexity? Price = 97.26; Change due to Duration = +2.54; Change due to Convexity = -0.04 Price = 96.84; Change due to Duration = +2.12 ; Change due to Convexity = -0.04 Price = 92.26; Change due to Duration = -2.54; Change due to Convexity = +0.04 Price = 92.68; Change due to Duration = -2.12 ; Change due to Convexity = +0.04
Expert Solution
steps

Step by step

Solved in 3 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