In: Finance
21. If a 3-year, semi-annual bond ($1,000 par value) has an annual coupon rate of 8 percent, and an annual yield to maturity of 6 percent, then calculate Macaulay's duration of the bond using the table format demonstrated in the video (not the equation)
Duration of the bond
Period | CF | PVF@3% | Disc CF | Weights | Weights * Period |
1 | $ 40.00 | 0.9709 | $ 38.83 | 0.0368 | 0.0368 |
2 | $ 40.00 | 0.9426 | $ 37.70 | 0.0358 | 0.0715 |
3 | $ 40.00 | 0.9151 | $ 36.61 | 0.0347 | 0.1042 |
4 | $ 40.00 | 0.8885 | $ 35.54 | 0.0337 | 0.1349 |
5 | $ 40.00 | 0.8626 | $ 34.50 | 0.0327 | 0.1637 |
6 | $ 40.00 | 0.8375 | $ 33.50 | 0.0318 | 0.1907 |
6 | $1,000.00 | 0.8375 | $ 837.48 | 0.7944 | 4.7667 |
Duration of the Bond | 5.4684 |
Pls do rate, if the answer is correct and comment, if any further assistance is required.