Present Value Calculator
Discount a future sum back to its present value.
Amortization schedule
| # | Payment | Principal | Interest | Balance |
|---|---|---|---|---|
Showing first 12 of months.
Growth over time
| Year | Invested | Value |
|---|---|---|
Introduction
Present Value Calculator — Discount a future sum back to its present value. Enter Future value, Rate (%), Years to get an instant, accurate result.
Formula
PV = FV / (1 + r)ⁿ, the exact discounting formula, where r is the annual discount rate and n is the number of years.
Step-by-step
- Enter the Future value.
- Enter the Rate (%).
- Enter the Years.
- Click Calculate to see your result instantly.
Real-world example
Example: With Future value = 20000, Rate (%) = 6, Years = 10, the Present Value Calculator gives Present Value: 11167.8955.
Frequently Asked Questions
What does present value represent?
The amount you would need today, at the given rate, to grow into the specified future value.
How does a higher discount rate affect present value?
A higher rate lowers the present value, since money is assumed to grow faster and future amounts are worth relatively less today.
What inputs does the Present Value Calculator need?
You'll need to provide: Future value, Rate (%), Years. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Present Value Calculator?
The Present Value Calculator applies the formula exactly as calculated — PV = FV / (1 + r)ⁿ, the exact discounting formula, where r is the annual discount rate and n is the number of years. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Are these results guaranteed?
No. The Present Value Calculator gives an estimate based on the numbers you enter and standard financial formulas — actual rates, fees, taxes, and terms vary by lender, institution, and jurisdiction, and can change over time. This is not financial advice; consult a qualified financial professional for decisions specific to your situation.
Is the Present Value Calculator free to use?
Yes, the Present Value Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Present Value Calculator
The Present Value Calculator uses a real, verifiable formula — PV = FV / (1 + r)ⁿ, the exact discounting formula, where r is the annual discount rate and n is the number of years. — so results are accurate every time, not an approximation.