Present Value of Ordinary Annuity Formula:
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The present value of an ordinary annuity is the current worth of a series of future cash flows discounted at a specific interest rate. It helps determine how much a future annuity is worth in today's dollars.
The calculator uses the present value of ordinary annuity formula:
Where:
Explanation: The formula discounts each future payment back to its present value and sums them all together.
Details: Calculating present value helps in comparing investment options, determining loan amounts, and making informed financial decisions about annuities and retirement planning.
Tips: Enter future value in dollars, interest rate as decimal (e.g., 5% = 0.05), and number of periods. All values must be positive numbers.
Q1: What's the difference between ordinary annuity and annuity due?
A: Ordinary annuity payments are made at the end of each period, while annuity due payments are made at the beginning.
Q2: How does interest rate affect present value?
A: Higher interest rates result in lower present values, as future cash flows are discounted more heavily.
Q3: What are typical uses for this calculation?
A: Retirement planning, loan amortization, bond valuation, and any scenario involving regular future payments.
Q4: Can this be used for monthly payments?
A: Yes, but ensure the interest rate is the monthly rate and periods are in months.
Q5: What if the interest rate is zero?
A: The formula simplifies to PV = FV × n, as there's no time value of money.