a) You are considering two bonds. Bond A has a 6% annual coupon while Bond B has a 5% annual coupon. Both bonds have a 7% yield to maturity, and the YTM is expected to remain constant. Which of the following statements is CORRECT?
a. |
The price of Bond A will decrease over time, but the price of Bond B will increase over time. |
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b. |
The prices of both bonds will decrease over time, but the price of Bond A will increase at a faster rate. |
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c. |
The prices of both bonds will change. |
|
d. |
The price of Bond B will decrease over time, but the price of Bond A will increase over time. |
|
e. |
The prices of both bonds will increase over time, but the price of Bond A will increase at a faster rate. |
b) Lauren Company's bonds mature in 10 years, have a par value of $1,000, and make an annual coupon interest payment of $65. The market requires an interest rate of 6.1% on these bonds. What is the bond's price?
a. |
$1,136.21 |
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b. |
$1,029.30 |
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c. |
$1,386.53 |
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d. |
$1,236.43 |
|
e. |
$1,259.94 |
Question 1)
Part A is the correct answer.
Since YTM is more than coupon rate of both the bonds, therefore price of both the bonds will increase with time. Coupon rate of Bond A is less than Coupon rate of Bond B, therefore price of Bond A will increase at fast rate.
Question 2)
Part b is the correct answer
Bond Price = [Coupon amount * PVAF (6.1%, 10years)] + [Maturity amount * PVF (6.1%, 10 years)]
= [$65 *7.325] +[$1,000 * 0.553]
=$1,029.30
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