Finance CalculatorFree online financial calculator — instant results, no sign-up
Solve for future value from present value, rate, periods and payment.
Estimates only, based on the inputs and assumptions shown. This is not financial, investment, tax, or legal advice. Prices, rates and local rules may change; crypto scenarios do not predict returns. Confirm important decisions with a qualified professional.
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About the Finance Calculator
This finance calculator computes the future value of an initial investment combined with regular monthly contributions over a specified number of months. It is designed for savers, investors, and financial planners tracking long-term growth with fixed periodic additions and compound interest.
- Present value
- The initial lump sum invested or deposited at period zero, expressed in dollars (typically 0 or greater).
- Payment per period
- The fixed amount deposited at the end of each monthly period, in dollars (typically 0 or greater).
- Rate per year
- The stated annual nominal interest rate in percent (e.g., 6 for 6%).
- Periods (months)
- The total duration of the investment in months (e.g., 120 months for a 10-year term).
Formula and method
FV = PV × (1 + r)^n + PMT × (((1 + r)^n − 1) / r) Total Payments = PMT × n Interest Earned = FV − PV − Total Payments
- FVFuture value of the investment
- PVPresent value (initial principal)
- PMTPayment deposited per month
- rPeriodic monthly interest rate (Annual rate / 1200)
- nNumber of periods (months)
The annual percentage rate is converted into a monthly decimal rate by dividing by 1,200. The calculator determines future value by compounding the initial balance and evaluating the future value of an ordinary annuity (payments made at the end of each period). Total payments equal the monthly deposit multiplied by total months, and interest earned is calculated by subtracting both the initial principal and total contributions from the future value.
Worked example
These are the calculator's starting values and the results it actually produces for them.
Inputs
- Present value10000 $
- Payment per period100 $
- Rate per year6 %
- Periods (months)120
Results
- Future value$34,581.90
- Total payments$12,000.00
- Interest earned$12,581.90
How to use the Finance Calculator
- 1Divide the annual interest rate by 1,200 to establish the monthly compounding rate r.
- 2Compound the present value over n periods using PV × (1 + r)^n.
- 3Calculate the accumulated value of periodic monthly deposits using PMT × (((1 + r)^n − 1) / r) and add it to the compounded present value to find total Future Value.
- 4Multiply monthly payments by n to find Total Payments, then subtract Present Value and Total Payments from Future Value to determine Interest Earned.
Reading your result
Future value represents the total balance at the end of the term. Comparing Total Payments against Interest Earned illustrates how much of the ending balance came directly from your out-of-pocket contributions versus accumulated compound interest over time.
Limitations
The calculation assumes a constant interest rate throughout the entire term and that contributions occur regularly at the end of every month. It does not factor in taxes, account maintenance fees, inflation adjustments, or variable market returns.
Common questions
Are deposits assumed to occur at the beginning or end of each month?+
Deposits are treated as an ordinary annuity, meaning payments are credited at the end of each monthly compounding period.
Can I use this calculator if I do not make monthly contributions?+
Yes. Set 'Payment per period' to 0 to compute standard lump-sum compound interest on the present value alone.
What if my compounding frequency is annual rather than monthly?+
This tool explicitly divides the annual rate by 12 to compound monthly alongside monthly payments. If compounding occurs once per year, an annual compound interest calculator should be used instead.
Does the calculator save my information?+
Calculations run in your browser. While signed in, inputs and results are automatically recorded in account history; saving a result creates a separate saved record.
Further reading
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Results are estimates for informational purposes and are not financial, medical or legal advice.