Problema Solution

Find the amount of an ordinary annuity for 5 years of quarterly payments of $2,200 that earn interest at 4% per year compounded quarterly.

Answer provided by our tutors

R = $2,200 periodic payment


t = 5 years


n = 4t = 4*5 = 20 compounding periods


r = 0.04 or 4/% annual rate


i = r/4 = 0.04/4 = 0.01 interest rate per period


S = future value


S = R[((1 + i)^n - 1)/i]


S = 2200[((1 + 0.01)^20 - 1)/0.01]


S = $48,441.81


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the amount of the ordinary annuity is $48,441.81.