Money today is worth more than the same amount in the future because it can earn a return. Future value is FV = PV × (1 + r)^n and present value is PV = FV ÷ (1 + r)^n. $10,000 invested at 6% a year for 10 years grows to 10,000 × 1.06^10 = $17,908. Working the other way, $20,000 to be received in 5 years is worth 20,000 ÷ 1.05^5 = $15,671 today at a 5% discount rate. Present value is used to compare investments, value a stream of payments, and decide whether a lump sum now or payments later is better. The result is very sensitive to the rate you choose.

How to Calculate Present / Future Value (PV/FV) Calculator (Step-by-Step)

Enter Calculate: Input your target parameter value.
Enter Dollar Amount ($): Input your target parameter value.
Enter Discount / Interest Rate (%): Input your target parameter value.
Enter Period (Years): Input your target parameter value.
Apply Formula: Calculate using FV = PV × (1 + r)ⁿ , PV = FV / (1 + r)ⁿ.
Review Results: View exact computed answers, metrics, and worked mathematical proofs.

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What is discount rate?

The interest rate used to determine the present value of future cash flows.

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Official Regulatory & Government Data Sources

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Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

Moneysmart (ASIC)Government

Australian Securities and Investments Commission

Consumer guidance on mortgage borrowing capacity, compound interest formulas, and loan fees.

moneysmart.gov.au

Reserve Bank of Australia (RBA)Government

Australia's Central Bank

Official cash rate target announcements, monetary policy statements, and national economic statistical data.

www.rba.gov.au

Federal Reserve Economic Data (FRED)Government

Federal Reserve Bank of St. Louis

Official U.S. Federal Funds Rate and comprehensive macroeconomic time-series data.

fred.stlouisfed.org