in 2015 you bought $1,000 face value bond. 20 year maturity. 7% coupon. in 2020 you sell. bond has 9% coupon. what is value in 2020? formula please also
The price of the bond will be the PV of the expected cash flows from | |
the bond when discounted at 9%. The expected cash flows are the | |
maturity value [face value] of $1,000 and the 15 yearly interest income | |
of $70. | |
PV of the maturity value = 1000/1.09^15 = | $ 274.54 |
PV of the annual interest [annuity] using formula = 70*(1.09^15-1)/(0.09*1.09^15) = | $ 564.25 |
Value of the bond in 2020 | $ 838.79 |
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