The McCauley’s duration of a 5-year zero-coupon bond yielding 4%
is ________ years and the modified...
The McCauley’s duration of a 5-year zero-coupon bond yielding 4%
is ________ years and the modified duration of a 5-year zero-coupon
bond yielding 4% is ________ years.
Question 4. A 12.75-year maturity zero-coupon
bond has convexity of 150.3 and modified duration of 11.81 years. A
30-year maturity 6% coupon bond with annual coupon payments has
nearly identical modified duration of 11.79 years, but considerably
higher convexity of 231.2.
Suppose the yield to maturity on both bonds increases by 1%.
What percentage change in price of the bonds as predicated by the
duration plus convexity model? (6)
Repeat part (a), but this time assume that the yield to...
4. a) Compute the modified duration of a 10% coupon, 4-year
corporate bond with a yield to maturity of 8%. 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.
Calculate the approximate modified duration of a 4-year, 5%
coupon, semi-annual bond if yields change by 50bps. Assume the bond
currently sells at 5% yield to maturity (YTM).
a) 1.79
b) 3.59
c) 7.17
d) 11.95
e) None of the above
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.
What is the modified duration of an 5%
bond with 15 years to maturity that is trading at a yield of
8%?
Assume that coupon is paid
semi-annually.
(Keep your answer to 2 decimal places, xx.12.)
An investor is
considering the purchase of zero-coupon U.S. Treasury bonds. A
30-year zero-coupon bond yielding 8% can be purchased today for
$9.94. At the end of 30 years, the owner of the bond will receive
$100. The yield of the bond is related to its price by the
following equation:
Here, P is
the price of the bond, y is the yield of the bond, and
t is the maturity of the bond measured in years.
Evaluating this equation...
You have two bonds (A and B) with a (modified) duration of 4.3. Bond A is a coupon bond with a semi-annual coupon of SEK 75 and Bond B is a zero coupon bond.a) How much does the value of each bonds change if the interest rate changes by 0.1%-unit.b) What is the time to maturity for the zero coupon bond?c) Which bond has the longest time to maturity?d) Calculate the accrued interest of the coupon bond if you buy...
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)
What is the approximate modified duration of a 22-year bond,
making semiannual coupon payments, with a coupon rate of 5% and a
current price of 69.18 per 100 of par value, considering a 50 bps
change in discount rate?