Question
Your colleague is constructing a table to calculate the duration of 5 year annual coupon paying bonds issued by American Expresso at an effective annual
Your colleague is constructing a table to calculate the duration of 5 year annual coupon paying bonds issued by American Expresso at an effective annual yield of 5% pa. The bonds have a face value of $135,000 and an effective annual coupon rate of 10% pa. Unfortunately your colleague is unwell and has taken the day off work. You have been asked to complete the calculations to present at a meeting.
a)Complete the table for your colleague. Give your answers to 4 decimal places.
Cash flow | Amount ($) | Present value of the cash flow (PVCF) | Weight (PVCF/price) |
---|---|---|---|
1 | 13,500 | 12,857.1429 | 0.0783 |
2 | 13,500 | 12,244.8980 | 0.0746 |
3 | 13,500 | 11,661.8076 | 0.0710 |
4 | 13,500 | 11,106.4834 | 0.0676 |
5 |
b)Calculate the duration (D) of the American Expresso 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:
A) increase B) decrease C) remain unchanged
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