Intro A corporate bond has 2 years to maturity, a coupon rate of 8%, a face value of $1,000 and pays coupons semiannually. The market interest rate for similar bonds is 0.095. Part 1 What is the price of the bond (in $)? 977.44 Correct ✓ Attempt 1/10 for 10 pts. Since market interest rates (or yields or yield to maturity), are quoted as bond equivalent yields (a type of APR), we need to divide the quoted rate by 2: Period rate: 0.095 = 0.0475 2 The 6-monthly interest payment, or coupon, is: Coupon rate 0.08 Coupon = Face value= 2 21,000 = 40 Bond price: Coupon Par value Р T + r (1+r) (1+r)* 40 0.0475 1 1,000 4+ (1+0.0475) (1+0.0475) = 973.25 Part 2 What is the bond's duration? 2+ decima Submit Part 3 Attempt 2/10 for 9.5 pts. Attempt 1/10 for 10 pts. If yields fall by 0.8 percentage points, what is the new expected bond price based on its duration (in $)? 0+ decima Submit Part 4 Attempt 1/10 for 10 pts. What is the actual bond price after the change in yields (in $)? 0+ decima Submit Part 5 Attempt 1/10 for 10 pts. What is the difference between the two new bond prices (in absolute $)? 2+ decima Submit

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter4: Bond Valuation
Section: Chapter Questions
Problem 7P: Bond Valuation with Semiannual Payments Renfro Rentals has issued bonds that have a 10% coupon rate,...
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Intro
A corporate bond has 2 years to maturity, a coupon rate of 8%,
a face value of $1,000 and pays coupons semiannually. The
market interest rate for similar bonds is 0.095.
Part 1
What is the price of the bond (in $)?
977.44
Correct ✓
Attempt 1/10 for 10 pts.
Since market interest rates (or yields or yield to maturity), are
quoted as bond equivalent yields (a type of APR), we need to
divide the quoted rate by 2:
Period rate:
0.095
= 0.0475
2
The 6-monthly interest payment, or coupon, is:
Coupon rate
0.08
Coupon =
Face value=
2
21,000
= 40
Bond price:
Coupon
Par value
Р
T +
r
(1+r)
(1+r)*
40
0.0475
1
1,000
4+
(1+0.0475)
(1+0.0475)
= 973.25
Part 2
What is the bond's duration?
2+ decima
Submit
Part 3
Attempt 2/10 for 9.5 pts.
Attempt 1/10 for 10 pts.
If yields fall by 0.8 percentage points, what is the new expected
bond price based on its duration (in $)?
0+ decima
Submit
Part 4
Attempt 1/10 for 10 pts.
What is the actual bond price after the change in yields (in $)?
0+ decima
Submit
Part 5
Attempt 1/10 for 10 pts.
What is the difference between the two new bond prices (in
absolute $)?
2+ decima
Submit
Transcribed Image Text:Intro A corporate bond has 2 years to maturity, a coupon rate of 8%, a face value of $1,000 and pays coupons semiannually. The market interest rate for similar bonds is 0.095. Part 1 What is the price of the bond (in $)? 977.44 Correct ✓ Attempt 1/10 for 10 pts. Since market interest rates (or yields or yield to maturity), are quoted as bond equivalent yields (a type of APR), we need to divide the quoted rate by 2: Period rate: 0.095 = 0.0475 2 The 6-monthly interest payment, or coupon, is: Coupon rate 0.08 Coupon = Face value= 2 21,000 = 40 Bond price: Coupon Par value Р T + r (1+r) (1+r)* 40 0.0475 1 1,000 4+ (1+0.0475) (1+0.0475) = 973.25 Part 2 What is the bond's duration? 2+ decima Submit Part 3 Attempt 2/10 for 9.5 pts. Attempt 1/10 for 10 pts. If yields fall by 0.8 percentage points, what is the new expected bond price based on its duration (in $)? 0+ decima Submit Part 4 Attempt 1/10 for 10 pts. What is the actual bond price after the change in yields (in $)? 0+ decima Submit Part 5 Attempt 1/10 for 10 pts. What is the difference between the two new bond prices (in absolute $)? 2+ decima Submit
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