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Homework answers / question archive / Find the present value and the amount (future value) of an ordinary annuity of Php5,000 payable semiannually for 10years if money is worth 6% compounded semiannually
Find the present value and the amount (future value) of an ordinary annuity of Php5,000 payable semiannually for 10years if money is worth 6% compounded semiannually.
Computation of Present Value of Ordinary Annuity (PV):
PV = P[1 - (1 + i)-n] / i
Here,
PV - Present Value
P- Periodic/Regular Payment
i - interest rate per period i = j/m
n- total number of conversion periods
n = t * m
PV = 5,000*[1 - (1 + 3%)^-20] / 3% = 74,387.37
Computation of Future Value of Ordinary Annuity (PV):
FV = P[ (1 + i)^n] -1 / i
Here,
FV - Future Value
P- Periodic/Regular Payment
i - interest rate per period i = j/m
n- total number of conversion periods
n = t * m
FV = 5,000*[(1 + 3%)^20] - 1/3% = 134,351.87