Problema Solution

Find the present value of the ordinary annuity. Please round the answer to the nearest cent.$2,000 per semiannual period for 7 yr at 12%/year compounded semiannually

Answer provided by our tutors

C = $2,000 cash flow semiannually


r = 0.12 or 12% per year


i = r/2 = 0.12/2 = 0.06 or 6% semiannual rate


t = 7 years


n = 2*7 = 14 number of payments


PV = present value


PV = C[(1 - (1 + i)^(-n))/i]


PV = 2000[(1 - (1 + 0.06)^(-14))/0.06]


PV = $18,589.97


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the present value of the ordinary annuity is $18,589.97.