You have constructed a table to calculate the duration of 2 year coupon paying bonds issued by
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Question:
You have constructed a table to calculate the duration of 2 year coupon paying bonds issued by Earth Bank at a yield of 5% pa compounded half-yearly. The bonds have a face value of $120,000 and a coupon rate of 4% pa compounded half-yearly. You printed up the table so that you could take it to a meeting, but unfortunately the final row has been cut off the printout.
a)Complete the table. Give your answers as decimals to 4 decimal places.
Cash flow | Amount ($) | Present value of the cash flow (PVCF) | Weight (PVCF/price) |
---|---|---|---|
1 | 2,400 | 2,341.4634 | 0.0199 |
2 | 2,400 | 2,284.3546 | 0.0194 |
3 | 2,400 | 2,228.6386 | 0.0189 |
4 |
b)Calculate the duration (D) of the Earth Bank bonds using the rounded values in the table. Give your answer in years to 2 decimal places.
D = years?
c)If the yield were to decrease immediately, the duration of the bonds would:
increase, decrease or remain unchanged?
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