Math

Instant, private, and free

Exponential Growth Calculator.

Project a value with the discrete model P(t) = P₀(1 + r)ᵗ.

On-device calculationNo signup
01

Set your values

Results update as you type.

Growth factor: 1.628895

Growth factor

1.628895
Final value: 162.889463 units

Final value

162.889463units

Results update automatically as you type.

Use Cases

Estimate population growth

Use the calculator to project population size over several years given a constant annual growth rate.

Example: Initial population 1000, growth rate 2% per year, 10 years → 1218.99

Model compound interest (discrete)

For investments with interest compounded once per period, this calculator projects the future value.

Example: Initial $5000, rate 3% per year, 20 years → $9030.56

Frequently Asked Questions

What does the exponential growth calculator do?
It projects a future value using the discrete model P(t) = P₀(1 + r)ᵗ, where P₀ is the initial value, r is the growth rate per period, and t is the number of periods.
How do I enter the growth rate?
Enter the growth rate as a decimal or percentage. For example, 5% should be entered as 0.05 or 5. The calculator uses the rate directly in the formula.
What are 'periods' in this calculator?
Periods represent the number of time intervals (e.g., years, months, quarters) over which growth is applied. The growth rate is applied once per period.

Tips & Common Mistakes

Tips

  • Ensure the growth rate and periods use the same time unit (e.g., annual rate with annual periods).
  • For a negative growth rate, enter a negative value (e.g., -0.02 for -2%) to model decay.
  • Double-check that the initial value is in the same unit as the result you expect.
  • Use the result as an estimate; real-world growth may vary due to external factors.

Common Mistakes to Avoid

  • Forgetting to convert percentage to decimal (e.g., entering 5 instead of 0.05).
  • Mixing time units, such as using an annual rate with monthly periods without adjusting.
  • Assuming continuous compounding; this calculator uses discrete periods, not continuous growth.

Last updated: August 13, 2026