Question

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21. If a 3-year, semi-annual bond ($1,000 par value) has an annual coupon rate of 8...

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)

Solutions

Expert Solution

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.


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