Present Value Calculator
Discount a future value back to today's amount using an annual rate, term, and compounding frequency.
Guide
What is present value?
Present value is the amount today that would grow into a stated future value at a fixed rate over a given term. It answers how much a future cash flow is worth now when discounted at the selected rate.
Formula
Present value = Future value ÷ (1 + Annual rate ÷ 100 ÷ Compounding periods per year) ^ (Years × Compounding periods per year). The future value must be zero or greater and the term must be greater than zero years.
Worked example
A future value of 1,210 discounted at 10% compounded annually for 2 years has present value 1,210 ÷ 1.10 ^ 2 = 1,000. The discount amount is 210.
Assumptions and limitations
The Calculator assumes a single future amount, a fixed nominal annual rate, and the selected compounding schedule. It does not model intermediate cash flows, inflation adjustments, fees, taxes, or changing rates.
Common questions
Answers to the most common questions about discounting a future amount to present value.
Is present value the inverse of future value?
Yes, for the same rate, term, and compounding frequency, present value and future value are inverse calculations.
Why is the discount amount shown?
It is future value minus present value and shows how much value is removed by discounting.
Can the future value be zero?
Yes. The present value and discount amount are both zero.
Methodology
The Calculator uses shared compound-growth helpers with exact decimal arithmetic. Discount amount is computed as future value minus present value at internal precision, with rounding only for display.