You intend to purchase a 1-year, $1,000 face value bond. Coupon rate of this bond is 6 %. Market interest rate is 12 percent. Coupon payments are semiannual, what is the duration of the bond? (Answer is rounded)
Half Year | Cash flows | PV | (PV/Total PV)*t |
1 | $ 30 | $ 28.30 | 0.0150 |
2 | $ 1,030 | $ 916.70 | 0.9701 |
Sum of PV | $ 945.00 | 0.9850 | |
Bond duration = 0.985 [Macaulay Duration] | |||
Modified duration = 0.985/(1+0.12/2) = | 0.929 |
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