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 4% pa. The bonds have a face value of $105,000 and an effective annual coupon rate of 8% pa. Unfortunately your colleague is unwell and has taken the day off work. You have been asked to complete the calculations to present at a meeting.
a)Complete the table for your colleague. Give your answers to 4 decimal places.
Cash flow | Amount ($) | Present value of the cash flow (PVCF) | Weight (PVCF/price) |
---|---|---|---|
1 | 8,400 | 8,076.9231 | 0.0653 |
2 | 8,400 | 7,766.2722 | 0.0628 |
3 | 8,400 | 7,467.5694 | 0.0604 |
4 | 8,400 | 7,180.3552 | 0.0580 |
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:
increase decrease remain unchanged
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started