Finance Calculator
Adjust the inputs below. Results update as you type.
How it works
The five TVM variables are PV, FV, PMT, r (rate per period), and n (periods). Given any four, the calculator solves for the fifth. This underpins all financial planning: savings goals, loan comparison, lease vs. buy analysis, and investment evaluation. Cash flows are signed—outflows negative, inflows positive. Annuity timing (beginning vs. end of period) affects results.
Input guidance
- Use realistic rates from lender or provider quotes instead of headline averages.
- Model conservative, baseline, and optimistic scenarios before deciding.
- Include recurring real-world costs (fees, taxes, insurance, maintenance) where relevant.
The formula
The time value of money links five variables — present value (PV), future value (FV), payment (PMT), rate (r), and number of periods (n) — through FV = PV·(1+r)^n + PMT·(((1+r)^n − 1)/r). Fix any four to solve the fifth.
Worked example
To reach a $50,000 future value in 10 years at 6%, you would need to invest about $27,900 today as a lump sum, or contribute roughly $305 a month.
More examples to test
- Conservative case: use a higher interest rate and lower growth assumptions to stress-test affordability.
- Optimistic case: use a lower rate with stable income assumptions to compare upside potential.
How to interpret results
Treat this as a planning model, not a final approval tool. Compare at least two scenarios and focus on total-cost and cash-flow trade-offs.
When this can be inaccurate
Results can diverge due to fees, changing rates, tax rules, lender policies, and behavior changes that simplified models cannot fully capture.
Change history
- July 2026: Quality-reviewed for publication with formula checks and explanatory copy updates.
Site-wide corrections also appear on the corrections log.
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Frequently asked questions
What is the time value of money?+
The principle that a dollar today is worth more than a dollar later, because money available now can be invested to earn a return.
What can this solve for?+
Any one of present value, future value, payment, interest rate, or number of periods, given the other four — the core of most financial math.
Where is this used?+
Loans, savings, annuities, bond pricing, and investment planning all rest on these time-value-of-money relationships.
How should I use this result?+
Treat it as a planning estimate. Compare at least two realistic scenarios, then confirm with statements, quotes, or a qualified professional before acting.
How often should I refresh assumptions?+
Refresh whenever rates, income, costs, or policy limits change materially, and before making irreversible commitments.