To the nearest one decimal, what is the duration of a 3-year bond with a 10% annual coupon, face value of $10,000 at a market interest rate of 9%?
Year | Cash Flow | PV Factor | PV Of Cash Flow | Weight of cash flow | Weight * Year |
a | b | c=1/1.09^a | d=b*c | e=d/1026.24 | |
1 | $ 1,000.00 | 0.91743 | $ 917.43 | 0.0895 | 0.0895 |
2 | $ 1,000.00 | 0.84168 | $ 841.68 | 0.0821 | 0.1642 |
3 | $ 11,000.00 | 0.77218 | $ 8,494.02 | 0.828 | 2.4853 |
Total | $ 10,253.13 | 1.00000 | 2.74 | ||
Macaulay Bond Duration =2.74 years |
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