In: Finance
Value of a 1-Year Bond
The Price of the is the Present Value of the Coupon Payments plus the Present Value of the face Value
Face Value of the bond = $1,000
Annual Coupon Amount = $80 [$1,000 x 8%]
Annual Yield to Maturity = 12%
Maturity Period = 1 Year
Price of the Bond = Present Value of the Coupon Payments + Present Value of the face Value
= $80[PVIFA 12%, 1 Year] + $1,000[PVIF 12%, 1 Years]
= [$80 x 0.89286] + [$1,000 x 0.89286]
= $71.43 + $892.86
= $964.29
“Value of a 1-Year Bond = $964.29”
Value of a 10-Year Bond
The Price of the is the Present Value of the Coupon Payments plus the Present Value of the face Value
Face Value of the bond = $1,000
Annual Coupon Amount = $80 [$1,000 x 8%]
Annual Yield to Maturity = 12%
Maturity Period = 10 Year
Price of the Bond = Present Value of the Coupon Payments + Present Value of the face Value
= $80[PVIFA 12%, 10 Year] + $1,000[PVIF 12%, 10 Years]
= [$80 x 5.65022] + [$1,000 x .32197]
= $452.02 + $321.97
= $773.99
“Value of a 10-Year Bond = $773.99”
NOTE
-The formula for calculating the Present Value Annuity Inflow Factor (PVIFA) is [{1 - (1 / (1 + r)n} / r], where “r” is the Yield to Maturity of the Bond and “n” is the number of maturity periods of the Bond.
--The formula for calculating the Present Value Inflow Factor (PVIF) is [1 / (1 + r)n], where “r” is the Yield to Maturity of the Bond and “n” is the number of maturity periods of the Bond.