A corporate bond has 30 years left to maturity, a par value of $1,000, coupon rate of 7.5% with semi-annual payment, and yield to maturity (YTM) of 3.33%. Let’s assume that in 5 years, the YTM on this increases to 5.51%. What will the $price be for this bond in 5 years?
A corporate bond has 30 years left to maturity, a par value of $1,000, coupon rate of 7.5% with semi-annual payment, and yield to maturity (YTM) of 3.33%. Let’s assume that in 5 years, the YTM on this increases to 5.51%. What will the $price be for this bond in 5 years?
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
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Question
A corporate bond has 30 years left to maturity, a par value of $1,000, coupon rate of 7.5% with semi-annual payment, and yield to maturity (YTM) of 3.33%. Let’s assume that in 5 years, the YTM on this increases to 5.51%. What will the $price be for this bond in 5 years?
Expert Solution
Step 1
Value of bond is the present value of the future coupon payments and the present value of the bond at the time of maturity. It shows the price of the bond at that time period based on the time till maturity, yield rate and the coupon payments.
Value of bond of coupon bond = C*(1-(1+r)^-n)/r +F/(1+r)^n
Where,
C = Periodic coupon payment,
F = Face / Par value of bond,
r = Yield to maturity (YTM) and
n = No. of periods till maturity
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