) Determine the Macaulay duration and convexity of a 3-year 5%
$2,000 bond having annual coupons...
) Determine the Macaulay duration and convexity of a 3-year 5%
$2,000 bond having annual coupons and a redemption value of $2,200
if the yield to maturity is 6%
Solutions
Expert Solution
Please refer to below spreadsheet for calculation and answer.
Cell reference also provided.
Determine the Macaulay duration and convexity of a 3-year 5%
$2,000 bond having annual coupons and a redemption value of $2,200
if the yield to maturity is 6%.
1) Compute the Macaulay duration for a 5-year bond paying annual
coupons of 9% and having a yield to maturity of 9.5%.
a. 3.86 Answers: a. 3.86 b. 4.57 c. 5.00 d. 3.78 e. 4.23
2) Which of the following bonds would be cheapest to deliver
given a T-note futures price of 90.4697? (Assume that all bonds
have semiannual coupon payments based on a par value of $100.)
Answers: a. 9.5-year bond with 4.5% coupons and a yield of 3.5%...
A 5-year, 6% annual-compounding bond priced to yield 8%.
a. Calculate the Macaulay duration of the bond.
b. Calculate the bond price.
c. Calculate the modified duration of the bond.
d. According the modified duration, what is the estimated bond
price if the market yields decline to 7%?
e. Using financial calculator, calculate the actual bond price
if rate does drop to 7%?
f. How does the actual bond price compare to the price predicted
by the modified duration? Explain...
What is the Macaulay Duration of a 4.4% annual coupon bond with
3 years to maturity, $1,000 face value, and yield to maturity of
4.4%? Round to three decimal places.
a. 2.865
b. 2.821
c. 2.886
d. 2.875
e. 2.908
What is the Macaulay Duration of a 6.8% annual coupon bond with
3 years to maturity, $1,000 face value, and yield to maturity of
6.8%? Round to three decimal places.
What is the Macaulay duration (D) of a 2-year bond with a $73
annual coupon (paid annually), $1,000 par, and a yield of 5.4%?
Round to four decimals. (show work)
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.
Compute the duration and convexity of a 10-year Treasury bond,
with coupon 3% and price 102-13.
Note:
1. Treasuries are semiannual.
2. The price quote “aaa-bb” means aaa+b/32 dollars.
3. Treasuries are non-callable bonds
What is the Macaulay duration in years of a 3% coupon bond with
2 years to maturity and a face value of $100? Assume the bond is
trading at a yield of 8%, and that the next coupon payment is to be
made exactly 6 months from today.
Round your answer to 3 decimal places. For example if your
answer is 5.5175, then please write down 5.518.
Using bond prices to calculate duration and convexity: A 20-year
bond with a 6.5% coupon paid semiannually has a yield of 6.24%.
Using a 1 bp change in yield, compute the approximate modified
duration and approximate convexity of the bond. Using these,
compute the approximate change in bond price when the bond yield
increases by 150 bps. Calculate the exact change in bond price when
the bond yield increases by 150 bps, and compare the two.