a) Compute the modified duration of a 9% coupon, 4-year
corporate bond with a yield to maturity of 10%.
b) Using the modified duration, If the market yield drops by 25
basis points, there will be a __________% (increase/decrease) in
the bond's price.
Bond
Coupon Rate
Yield
Maturity
Duration
A
7%
3.5%
4 Years
B
Zero Coupon
5.25%
8 Years
A) Compute the duration of each bond, assuming annual interest
payments for the coupon bonds. Show your work below. (10
points)
B) What is the duration-predicted price change for each bond for
a 1% increase in rates? Show your work below. (15 points)
The duration of a bond with 8% annual coupon rate when the yield
to maturity is 10% and two years left to maturity is:
Question 10 options:
1)
1.75 years
2)
1.80 years
3)
1.92 years
4)
2.96 years
A bond with a coupon rate of 7 percent sells at a yield to
maturity of 8 percent. If the bond matures in 11 years, what is the
Macaulay duration of the bond? What is the modified duration?
A bond with a coupon rate of 7 percent sells at a yield to
maturity of 9 percent. If the bond matures in 12 years, what is the
Macaulay duration of the bond? What is the modified duration? (Do
not round intermediate calculations. Round your answers to 3
decimal places.)
Duration
Macaulay
years
Modified
years
Bond
Face Value
Coupon rate
Yield to Maturity
Term to Maturity
Duration
A
$1000
4%
10%
5
4.57
B
$1000
12%
10%
5
4.07
Now suppose the yield to maturity becomes 11%. What are
the % change in prices of bond A and B?
Compute the Macaulay duration and modified duration of a 6%,
25-year bond selling at a yield of 9%.
Coupon frequency and compounding frequency are assumed to be
semiannual.
The yield to maturity of a $1000 bond with a 7% coupon rate,
semiannual coupons, and two years to maturity is 7.6% APR,
compounded semiannually. What must its price be?