Exponential Growth & Decay Calculator (Free)
Use this free exponential growth and decay calculator to model continuous or periodic change. Enter the starting amount, the rate, and the time to get the final amount, the growth factor, the doubling time or half-life, and a graph.
Two models
Continuous growth uses A = A₀·e^(kt); periodic growth uses A = A₀·(1 + r)^t. Use a negative rate for decay.
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Choose continuous or periodic.
- Enter the initial amount, the rate (as a percent), and the time.
- Press Compute.
Related: the Compound Interest Calculator and more free math calculators.
Frequently asked questions
What is the difference between continuous and periodic?
Continuous compounding uses e^(kt) and applies growth at every instant; periodic uses (1+r)^t and applies it once per period.
Original price was: $109.99.$54.99Current price is: $54.99.
How do I model decay?
Use a negative rate (for example −5). The tool then reports a half-life instead of a doubling time.
Original price was: $109.99.$54.99Current price is: $54.99.
What is doubling time?
The time for the amount to double; for decay it instead reports the half-life.
Original price was: $27.99.$17.99Current price is: $17.99.
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