If i 08 calculate the present value of an annuity that pays
If i = .08, calculate the present value of an annuity that pays $100 at times: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Solution
present value of annuity can be writen as PVOA
PVOA = PMT [(1-(1/(1+r)n))/r]
where PMT means the amount of each annuity payment =100
r = the interest rate.=0.08
n = the number of periods over which payments are to be made.
= 2,4,6,8,10,12,14,16,18,20 total there 10periods.
substitute all the values in the above equation
= 100[(1-(1/(1+0.08)10))/0.08]
present value = $995.61
