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Connect romheducation.com Valuing Bonds Saved Help 5 Problem 3-13 Duration 10 points Calculate the durations and volatilities
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Answer #1

Security A

Year (1) Cash flow (2) Present value factor @7% (3) Present value-PV (4) Proportion of total PV (5) Duration (6)=5*1 Volatality (7)=6/1.07
1 80 0.9345 74.760 0.3082 0.3082
2 80 0.8734 69.872 0.2880 0.5760
3 120 0.8162 97.944 0.4038 1.2114
TOTAL 242.576 1.0000 2.0956 1.96

Security B

Year (1) Cash flow (2) Present value factor @7% (3) Present value-PV (4)=2*3 Proportion of total PV (5) Duration (6)=5*1 Volatality (7)=6/1.07
1 60 0.9345 56.070 0.2063 0.2063
2 60 0.8734 52.404 0.1929 0.3858
3 200 0.8162 163.240 0.6008 1.8024
TOTAL 271.714 1.0000 2.3945 2.24

Security C

Year (1) Cash flow (2) Present value factor @7% (3) Present value-PV (4) Proportion of total PV (5) Duration (6)=5*1 Volatality (7)=6/1.07
1 50 0.9345 46.725 0.1903 0.1903
2 50 0.8734 43.670 0.1779 0.3558
3 190 0.8162 155.078 0.6318 1.8954
TOTAL 245.473 1.0000 2.4415 2.28
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