A 3 year, 1000 par value bond has 8% annual coupons and an annual effective yield of 7%. Find the Macaulay duration of this bond.
Using excel to calculate Macaulay Duration of this
bond
Time(n) | Cash flow=8%*1000 | PV of Cash flow=(Cash flow)/(1+7%)^n | PV*Time |
1 | 80 | 77.67 | 77.67 |
2 | 80 | 75.41 | 150.82 |
3 | 1080 | 988.35 | 2965.06 |
Total | 1141.43 | 3193.54 | |
Maculay Duration | 2.80 | (=3193.54/1141.43) |
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