Question

A semi-annual coupon bond with 2 years to maturity and 8% per
annum coupon rate has a face value of $1,000 with a yield to
maturity of 12% per annum (compounded semi-annually). Using the
bond’s modified duration, estimate the new bond price when the
yield to maturity immediately changes from 12% per annum to 8% per
annum.

Select one:

a. 66.27 dollars.

b. 996.97 dollars.

c. 930.70 dollars.

d. 864.43 dollars.

e. None of the statements is true.

Answer #1

EXCEL FORMULA:

A bond with a 2-year maturity has a coupon rate of 13% and a
face value of $1,000. The coupons are paid annually and the next
coupon is due in one year. The bond’s yield to maturity is 13%.
What is this bond’s Modified Duration?

A bond has a PAR value of $1,000 with a 12% coupon and a 4%
semi-annually compounded yield. What is
the bond’s duration given that there are two years left to
maturity?

A 10-year bond has a face value of $1,000 with a 5% per annum
coupon rate. The bond pays coupons semi-annually. The current yield
to maturity of the bond is 4% per annum. After 5 years, the yield
to maturity of the bond is predicted to increase to 6% per annum,
what would be the value of the bond in Year 5?

(excel) Consider a 8% coupon bond
making annual coupon payments with 4 years until maturity
and a yield to maturity of 10%.
What is the modified duration of this bond?
If the market yield increases by 75 basis points, what is the
actual percentage change in the bond’s
price? [Actual, not approximation]
Given that this bond’s convexity is 14.13, what price would you
predict using the duration-with-convexity
approximation for this bond at this new yield?
What is the percentage error?

An
8%, semi-annual coupon bond has a $1,000 face value and matures in
8 years. What is the current yield on this bond if the yield to
maturity is 7.8%?

A bond has a face value of $1,000, a coupon rate of 8%, and a
maturity of 10 years. The bond makes semi-annual coupon
payments. The bond’s yield to maturity is
9%. In Excel, the =PV formula can be used to find the
price of the bond. Fill in the table with the
appropriate values:
RATE
NPER
PMT
FV
TYPE

d) The company is planning to issue 10-year semi-annual coupon
bonds with a coupon rate of 6% and a face value of $1,000. The
effective annual yield to maturity of investors is expected to be
8% per annum. Calculate the required number (expressed in integer)
of semi-annual coupon bonds to raise $20 million.
e) Alternatively, XYZ Ltd is looking into issuing 15-year
zero-coupon bonds with a face value of $1,000. The desired nominal
yield to maturity of investors is expected...

a 10-year bond, $1,000 face value bond with a 8% coupon rate and
semi-annual coupons has a yield to maturity of 12%. the bond should
be trading at the price of? round to nearest cent

A bond has a face value of $1,000, a coupon rate of 8%, and a
maturity of 10 years. The bond makes semi-annual coupon
payments. The bond’s yield to maturity is
9%. In Excel, the =PV formula can be used to find the
price of the bond. Fill in the table with the
appropriate values:
RATE
NPER
PMT
FV
TYPE
Repeat problem , but with annual coupon payments.
RATE
NPER
PMT
FV
TYPE

A bond has 16 years left to maturity. With semi-annual coupon of
$25 (paid twice a year). The yield to maturity (the rate for equal
duration and risk bonds is now going for) is 4.5%. Show steps
A. What is the current price of the bond?
B. What is the Macauley Duration of the bond?
C. What is the Modified Duration of the bond?

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