TVM calculator

Solve the equal-period savings equation for future value, present value, payment, periods or interest rate.

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More inputs and assumptions

Answer

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Solve the equal-period savings equation for future value, present value, payment, periods or interest rate.

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Precision and calculation record

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

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Formula and assumptions

Balances and deposits are nonnegative, payments arrive at period end and the rate is constant. Use the same period for payments and interest. The input for the unknown is ignored. A negative required deposit or impossible target is rejected. Period estimates can be fractional mathematical times, not a payment schedule. Rate search is limited to -99.9% through 1,000% per period; no fees, taxes or guaranteed investment returns.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

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Use +, −, ×, ÷, parentheses and %. A percentage is divided by 100. This does not change the main tool.

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Using TVM calculator

Solve the equal-period savings equation for future value, present value, payment, periods or interest rate.

Balances and deposits are nonnegative, payments arrive at period end and the rate is constant. Use the same period for payments and interest. The input for the unknown is ignored. A negative required deposit or impossible target is rejected. Period estimates can be fractional mathematical times, not a payment schedule. Rate search is limited to -99.9% through 1,000% per period; no fees, taxes or guaranteed investment returns.

Next: Financial calculator

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A worked example

For present balance (ignored when solving it) = 1000, future balance (ignored when solving it) = 1420, payment each period (ignored when solving it) = 100, rate per period (%, ignored when solving it) = 10, periods (ignored when solving it) = 2, solve for = Future balance, future balance = 1420.

Before you use the result

Balances and deposits are nonnegative, payments arrive at period end and the rate is constant. Use the same period for payments and interest. The input for the unknown is ignored. A negative required deposit or impossible target is rejected. Period estimates can be fractional mathematical times, not a payment schedule. Rate search is limited to -99.9% through 1,000% per period; no fees, taxes or guaranteed investment returns.

Example results for present balance (ignored when solving it)

These examples use Future balance (ignored when solving it): 1420; Payment each period (ignored when solving it): 100; Rate per period (%, ignored when solving it): 10; Periods (ignored when solving it): 2; Solve for: Future balance. They are reference calculations, not recommended settings.

Present balance (ignored when solving it)Future balance
500815
10001420
20002630
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ToolOctopus. “TVM calculator.” Updated 2026-09-29. https://tooloctopus.com/tvm-calculator.

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