What is the relationship between the price of a bond and its YTM?  All else being the same, which has more interest rate risk, a long-term bond or a short-term bond?  What about a low coupon bond compared to a high coupon bond?  What about a long-term, high coupon compared to a short-term, low coupon bond?  Why?

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

Bonds.  What is the relationship between the price of a bond and its YTM?  All else being the same, which has more interest rate risk, a long-term bond or a short-term bond?  What about a low coupon bond compared to a high coupon bond?  What about a long-term, high coupon compared to a short-term, low coupon bond?  Why?

A 20-year, 8% semiannual coupon bond with a par value of $1,000 may be called in 5
years at a call price of $1,040. The bond sells for $1,100. (Assume that the bond has just
been issued.)
Basic Input Data:
Years to maturity:
Periods per year:
Periods to maturity:
Coupon rate:
Par value:
Periodic payment:
Current price
Call price:
Years till callable:
Periods till callable:
20
2
8%
$1,000
$1,100
$1,040
5
a. What is the bond's yield to maturity?
Peridodic YTM =
Annualized Nominal YTM
b. What is the bond's current yield?
Current yield
c. What is the bond's capital gain or loss yield?
Cap. Gain/loss yield =
d. What is the bond's yield to call?
Peridodic YTC =
Annualized Nominal YTC
Hint: This is a nominal rate, not the effective rate. Nominal rates are generally quoted.
This is a nominal rate, not the effective rate. Nominal rates are generally quoted.
Transcribed Image Text:A 20-year, 8% semiannual coupon bond with a par value of $1,000 may be called in 5 years at a call price of $1,040. The bond sells for $1,100. (Assume that the bond has just been issued.) Basic Input Data: Years to maturity: Periods per year: Periods to maturity: Coupon rate: Par value: Periodic payment: Current price Call price: Years till callable: Periods till callable: 20 2 8% $1,000 $1,100 $1,040 5 a. What is the bond's yield to maturity? Peridodic YTM = Annualized Nominal YTM b. What is the bond's current yield? Current yield c. What is the bond's capital gain or loss yield? Cap. Gain/loss yield = d. What is the bond's yield to call? Peridodic YTC = Annualized Nominal YTC Hint: This is a nominal rate, not the effective rate. Nominal rates are generally quoted. This is a nominal rate, not the effective rate. Nominal rates are generally quoted.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 2 images

Blurred answer
Knowledge Booster
Bonds Prices and 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