Compound Growth Calculator

Calculate compound growth rate, final value, or initial value. Useful for investments, population growth, and business metrics.

This calculator switches between two modes depending on what you enter. When Annual Growth Rate is a positive number, it projects Final Value forward from Initial Value using calculatedFinalValue = initialValue × (1 + growthRate/100)^years (line 14). But with Annual Growth Rate left at its default of 0 — as it is out of the box — that branch never runs (line 12: growthRate > 0 && initialValue > 0), and the calculator instead solves backward for the CAGR-style rate that connects your Initial Value and Final Value over the given Number of Years (line 17). In that default "solve for rate" mode, the Final Value shown is exactly the number you typed into the Final Value field — the engine hasn't derived it from anything — so Initial Value and Number of Years have zero effect on Final Value until you supply a positive growth rate instead. Total Growth is simply Final Value minus Initial Value, and in this default mode it doesn't depend on Number of Years either, since it's a straight subtraction of the two values you entered rather than a function of how long the growth took. This calculator does not project decline: the projection branch only fires when Annual Growth Rate is a positive number (line 12), so typing a negative rate to model a shrinking value doesn't produce a declining projection — it either falls back into "solve for rate" mode or leaves Final Value unchanged, depending on what else is entered.