Present Value Calculator
Use the Present Value Calculator with your own values for Solve for, Present value, Future value, Annual rate, Years, and Compounds per year. It reports Present value, Future value, and Compound factor, shows the formula and worked example, and does not fetch live market or account data.
How to use this calculator
Enter Solve for, Present value, Future value, Annual rate, Years, and Compounds per year.
Review the model boundary before calculating: The calculation assumes the entered rate stays fixed for the full period.
Read Present value, Future value, and Compound factor, then compare the result with the cited source and governing product terms.
Formula
Formula used: PV = FV / (1 + i / m)^(m × n); FV = PV × (1 + i / m)^(m × n). Percentages are converted to decimals before calculation.
Worked example
Example: with Future value = 10,000, Annual rate = 5%, Years = 3, and Compounds per year = 1, the calculated Present value is 8,638.38.
Assumptions and limits
- The calculation assumes the entered rate stays fixed for the full period.
- Rates, cash flows, compounding, and measurement periods must use a consistent time basis.
- Recheck dated source rules, product documents, and market conventions before relying on the result.
Sources
- U.S. Securities and Exchange Commission: Compound Interest CalculatorCompound growth, present value, future value, rate, term, and compounding frequency. Reviewed 2026-08-24.
- OpenStax, Rice University: Principles of Finance 2e — Applications of Time Value of Money in FinanceOfficial formula or method source used by this calculator. Reviewed 2026-08-24.
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Verification
How this calculator is checked
Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.
- Versioned calculationFormula logic is kept separate from the interface and covered by automated registry and behavior checks.
- Cited evidenceSources linked for independent checking: 2.
- Transparent AI useAI may assist drafting or adversarial review. Agreement between models is not proof, and no human expert review is claimed unless a named reviewer is shown.
Frequently asked questions
How does the Present Value Calculator work?
Formula used: PV = FV / (1 + i / m)^(m × n); FV = PV × (1 + i / m)^(m × n). Percentages are converted to decimals before calculation.
What should I enter in the Present Value Calculator?
Enter Solve for, Present value, Future value, Annual rate, Years, and Compounds per year using one consistent currency and time basis.
What should I verify before using the Present Value Calculator result?
Verify these limits: The calculation assumes the entered rate stays fixed for the full period. Rates, cash flows, compounding, and measurement periods must use a consistent time basis.
Last updated 2026-08-25 · single-sum-nominal-compounding-v1 · content-2026-08-24 · Published by YunFanLabs