Calculate any final value from initial amount, growth rate, and time periods
Growth Parameters
Enter as a percentage, e.g. 8 for 8% annual growth.
Formula
FV = 1,000 × (1 + 0.08)10 = 2,158.925
Results
Growth over Time
Bar height is proportional to value at each period (showing up to 50 periods).
Period Table
Step-by-step breakdown of value, per-period growth, and cumulative growth for each of the 10 years.
Reference
The exponential growth calculator computes the final value of any quantity that grows (or shrinks) at a constant per-period rate using the formula FV = PV × (1 + r)^n. Whether you are projecting compound investment returns, modeling population increase, estimating viral spread, or calculating radioactive decay, enter your initial value, growth rate, and number of periods to get an instant, precise answer with a full period-by-period breakdown.
The formula is FV = PV × (1 + r)^n, where FV is the final value, PV is the initial (present) value, r is the per-period growth rate expressed as a decimal (e.g. 0.08 for 8%), and n is the number of periods. Each period multiplies the previous value by (1 + r).
The exact doubling time is ln(2) / ln(1 + r) periods. A quick approximation is the Rule of 72: divide 72 by the percentage growth rate. For example, at 8% per year the doubling time is roughly 72 ÷ 8 = 9 years (exact: 9.006 years).
Yes. Enter a negative growth rate (between −100% and 0%) to model decay. The tool will compute the final value and show the half-life — the number of periods required for the quantity to fall to half its starting value — using the formula ln(0.5) / ln(1 + r).
Common examples include compound interest on investments, population growth, bacterial or viral spread, radioactive decay (as negative growth), inflation, asset depreciation, and Moore's Law doubling of transistor counts. Any process where a quantity changes by a fixed percentage each time step follows exponential growth.