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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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