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Math Calculators

Exponential Decay Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
%
Verified formula Private

Final value

598.74

Total decrease
401.26

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Exponential Decay Calculator

The Exponential Decay Calculator works out your final value, along with 1 related figure in an instant. Enter initial value, decay rate per period and number of periods and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the initial value.
  2. Enter the decay rate per period.
  3. Enter the number of periods.
  4. Read off your final value, together with total decrease — the calculator updates automatically, with no button to press.

Formula

The Exponential Decay Calculator uses the formula:

Final value = Initial value × (1 - Decay rate per period ÷ 100)^(Number of periods)

Worked example

For example, with initial value of 1,000, decay rate per period of 5% and number of periods of 10, the final value is 598.74.

Inputs used
Initial value 1,000
Decay rate per period 5%
Number of periods 10
Results
Final value 598.74
Total decrease 401.26

Results are estimates for educational use, not professional advice.

Frequently asked questions

A quantity decreasing by the same percentage each period, so it falls quickly at first and slowly later. 1000 decaying 5% for 10 periods becomes about 599.

Final = initial × (1 − rate)^periods, with the rate written as a decimal.

Radioactive decay, depreciation, drug concentration in the body and cooling all follow exponential decay.

Half-life is the time for the value to halve. A higher decay rate means a shorter half-life.

Enter the initial value. Enter the decay rate per period. Enter the number of periods. Read off your final value, together with total decrease — the calculator updates automatically, with no button to press.

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