In: Finance
Suppose you purchase a zero coupon bond with a face value of $1,000, maturing in 19 years, for $215.75. Zero coupon bonds pay the face value on the maturity date.Whatis the implicit interest in the first year of the bond's life?
Future value = present value*(1+r)^n
r = interest rate
n = number of periods
1000 = 215.75*(1+r)^19
(1-r)^19 = 1000 / 215.75
r = (4.635)^(1/19)
r = 8.41%
So implicit interest in first year = 215.75 * 8.41% = $18.14