Question

In: Finance

You own a bond that mature in three years. It has a 6% coupon, with a...

  1. You own a bond that mature in three years. It has a 6% coupon, with a current price of %948.46. Current market rates for three-year securities are 8%. The PV factors at 8% are .926, .857, .794, .735, and .681 for 1 through 5 years. What is the duration of your bond?

Solutions

Expert Solution

Calculation of Duration
8.00%
Year Cash Flow PV fatctor = 1/ (1+r)^t PV Time * PV
0 $             -   1.000             -                   -   
1 $      60.00 0.926 $   55.56        55.556
2 $      60.00 0.857 $   51.44      102.881
3 $      60.00 0.794 $   47.63      142.890
3 $ 1,000.00 0.794 $ 793.83 2,381.497
Total $ 948.46 2,682.823
Duration= 2682.8/948.45
Duration=          2.83

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