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Finance Calculator (TVM)

Looking for a time value of money calculator pv fv pmt? This free tool gives you future value from present value, rate, periods and payments. Just enter your numbers and press Calculate — results are instant.

How to Use This Finance Calculator (TVM)

Money has a time value: a dollar today is worth more than a dollar in ten years, because today's dollar can earn interest. This calculator solves the future value of a present amount, with or without regular payments: the present value grows by the rate each period, and each payment also grows from the moment it is made. Enter the number of periods, the rate per period, the present value and the payment per period to see what the money becomes.

Formula Used

Future value = PV × (1+r)^n + PMT × ((1+r)^n − 1) ÷ r, where PV is present value, r the rate per period, n the number of periods and PMT the payment each period.

Worked Example

Example: Periods 10 · Rate 6% per period · Present value $10,000 · Payment $0 per period

  1. Future value = $10,000 × (1.06)^10 = $17,908.48.
  2. Total contributions = $10,000 (no extra payments), so the interest earned is $17,908.48 − $10,000 = $7,908.48.
  3. In time-value terms, $10,000 today is worth $17,908.48 after 10 periods at 6% per period.

Future Value: $17,908.48

Frequently Asked Questions

What is the time value of money?

A dollar today is worth more than a dollar in ten years, because today's dollar can be invested and earn interest. That is why future money is discounted back and present money is grown forward.

What do PV, FV, PMT and N mean?

PV is the present value — what the money is worth now. FV is the future value — what it becomes. PMT is the payment made each period, and N is the number of periods.

What is the rate per period?

The rate for one compounding period. If your yearly rate is 12% and periods are months, the rate per period is 1%. This calculator takes the rate per period directly, so divide your yearly rate if needed.

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