Question

9. A bond pays $50 at the end of each year for three years. The interest...

9. A bond pays $50 at the end of each year for three years. The interest rate is 10%. The duration of that bond is

a. 3 years

b. 2 years

c. 1 year

d. between 1 and 2 years

e. between 2 and 3 years

Why is the answer d?

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Answer #1
Time Cash flow PV of Cash flow PV*Time
1 50 45.45 45.45455
2 50 41.32 82.64463
3 50 37.57 112.6972
Total 124.34 240.7964
Maculay Duration 1.94 (=240.7964/124.34)

Since Maculay Duration is found out to be 1.94 hence hence duration is between 1 and 2 years

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