Exponential growth & decay calculator

Evaluate A = A₀ e^{kt} for growth (k>0) or decay (k<0).

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Tool guide

Exponential growth & decay calculator: how it works

Practical information to understand the result and use this tool correctly.

About Exponential growth & decay calculator

The continuous model A(t)=A₀e^{kt} appears in finance, biology, and physics.

Sign of k selects growth versus decay.

For discrete compounding use (1+r)^t instead.

How to use it

  1. 1Enter A₀, k, and t.
  2. 2Calculate A(t).
  3. 3Read whether the model is growth or decay.

Frequently asked questions

Half-life?
k = −ln(2)/half-life for exponential decay.
Units of k and t?
Must match (e.g. per year and years).