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Exponential Growth Calculator

Project a value growing at a constant percentage rate each period.

How it is calculated

Exponential growth multiplies the value by the same factor every period: final = initial × (1 + rate / 100)periods. Here initial is the starting value, rate is the growth percentage per period (5 means 5%) and periods is the number of periods, which can be fractional. Total growth is final − initial.

A negative rate gives exponential decay, and the result is rounded to two decimals for display only. The period can be anything (years, months, days) as long as the rate uses the same unit. Because growth compounds on previous growth, the gain in each period is larger than in the last, unlike linear growth.

Worked example

Start with 1,000 and grow it by 5% per period for 10 periods. The growth factor is 1.05, and 1.0510 ≈ 1.628895. The final value is 1,000 × 1.628895 = 1,628.89. Total growth is 1,628.89 − 1,000 = 628.89. Simple (linear) growth of 5% of 1,000 for 10 periods would give only 500, so compounding adds about 128.89.

Try this example →

Common mistakes

  • Using 0.05 instead of 5 for the rate; the tool expects percent, so 0.05 means 0.05%.
  • Mixing units, for example an annual rate with monthly periods. Convert one of them first.
  • Expecting a linear result by multiplying initial × rate × periods, which ignores compounding.
  • Entering a negative rate as a positive one when modelling a decline such as depreciation or decay.

Sources

About this calculator

This calculator projects how a starting value grows when it increases by a fixed percentage every period, compounding on itself each time — the same mathematical shape (value × (1 + rate)^periods) that governs compound interest, population growth, and viral spread, where growth accelerates over time rather than staying constant.

It's used to model anything that compounds: an investment growing at a fixed annual return, a population or bacteria culture increasing by a constant percentage each generation, or a social media following or app's user base growing by the same percentage each month. Analysts and students use it to see how dramatically small percentage differences compound over many periods — a gap that looks tiny at period one becomes enormous by period twenty.

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Comments (1)

  • Editorial team

    Use the rule of 72 as a sanity check on your result: divide 72 by the rate to estimate how many periods it takes to double. At 7 percent that is about 10.3 periods, and entering 7 with 10 periods does give 1,967.15 from a start of 1,000, close to double. If your output is far from that pattern, recheck the rate. What are you modelling with it?

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