Question
The market values of a 10 year 9% coupon no-option bond at different yield levels are shown below. Calculate the modified duration of this bond
The market values of a 10 year 9% coupon no-option bond at different yield levels are shown below. Calculate the modified duration of this bond for a 125 basis point change in yield. Also, calculate the convexity adjustment to come up with an accurate estimate of the change in bond value for a 125BP yield change. Compare the adjusted estimate with the original one to show that convexity adjustment works to better the estimate.
Yield | Value | Yield | Value |
4.50% | 1277.827 | 6.00% | 1147.202 |
4.75% | 1254.031 | 6.25% | 1127.29 |
5.00% | 1231.652 | 6.50% | 1107.832 |
5.25% | 1209.793 | 6.75% | 1088.818 |
5.50% | 1188.441 | 7.00% | 1070.236 |
5.75% | 1167.581 | 7.25% | 1052.073 |
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