Exponential Growth Calculator
Project a value growing at a fixed percentage rate.
Results update as you type.
How it works
Exponential growth describes any quantity that increases by the same percentage in each period, so that the amount added grows larger over time as it is applied to an ever-bigger base. It models compound interest, population growth, viral spread, and many natural and financial processes. This exponential growth calculator takes a starting value, a growth rate expressed as a percentage per period, and the number of periods, then returns the final value and the total growth accumulated. The core mechanism is compounding: each period the value is multiplied by one plus the rate, so over several periods the starting figure is multiplied by that factor raised to the number of periods. This produces the characteristic accelerating curve, where growth is slow at first and then rapid, because each increase is calculated on a larger amount than the last. For a starting value of 1000 growing at 5 percent for 3 periods, the final value is about 1157.63 and the total growth is about 157.63. Investors projecting returns, biologists modelling populations, and analysts forecasting trends all use an exponential growth calculator to see where a steadily compounding quantity ends up after a given number of periods.
final = initial × (1 + rate ÷ 100)^periods; growth = final − initial
Exponential growth multiplies the current value by the same growth factor each period, so after many periods the starting value is multiplied by that factor raised to the number of periods. Converting the percentage rate to a decimal and adding one gives the per-period factor, and raising it to the power of the number of periods compounds the growth. Subtracting the original value from the final value isolates the total amount gained across all periods combined.
Source:Standard mathematics
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Worked example
How to use this calculator
- 1
Enter your values
Enter initial value, growth rate (% per period) and number of periods.
- 2
Adjust the options
Fine-tune any options to match your situation.
- 3
Read your result
Final value updates instantly as you type — no button to press.
Frequently asked questions
What is exponential growth?
Exponential growth is increase by a constant percentage each period, rather than a fixed amount. Because the percentage is applied to a base that keeps getting bigger, the actual increase grows every period, producing an accelerating curve. Compound interest, unchecked population growth, and viral spread all follow this pattern. It contrasts with linear growth, where the same fixed quantity is added each period regardless of the current size.
How is this different from simple linear growth?
Linear growth adds the same fixed amount every period, so its graph is a straight line. Exponential growth adds a fixed percentage, which translates to a larger and larger absolute amount as the base grows, curving upward ever more steeply. Over a few periods the two can look similar, but over many periods exponential growth vastly outpaces linear growth, which is the power of compounding at work.
What counts as a period?
A period is whatever time unit your growth rate refers to: a year, a month, a day, or any interval. The rate and the number of periods must use the same unit. If your rate is 5 percent per year, then the number of periods is a count of years. Matching the rate's time frame to the period count is essential for the projection to be accurate.
Can the growth rate be negative?
Yes. A negative growth rate represents exponential decay, where the value shrinks by a fixed percentage each period rather than growing. Entering a rate of negative ten percent, for example, models something losing a tenth of its value each period, such as depreciation or radioactive decay. The same formula applies, and the calculator returns a final value below the starting amount with a negative total growth.
Is this the same as compound interest?
The underlying mathematics is identical. Compound interest is a specific application of exponential growth where money grows by a fixed interest rate each period. This calculator uses the same compounding formula, so you can apply it to savings or investments by entering the principal as the initial value, the interest rate as the growth rate, and the number of compounding periods. For detailed finance work, a dedicated compound interest tool may add extra options.