Growth Rate of Investment Calculator
Growth Rate of Investment Calculator
| Year | Value at CAGR | Gain That Year | Cumulative Growth |
|---|---|---|---|
| Year 1 | $11,213.53 | $1,213.53 | 12.14% |
| Year 2 | $12,574.33 | $1,360.80 | 25.74% |
| Year 3 | $14,100.27 | $1,525.94 | 41.00% |
| Year 4 | $15,811.39 | $1,711.12 | 58.11% |
| Year 5 | $17,730.15 | $1,918.77 | 77.30% |
| Year 6 | $19,881.77 | $2,151.61 | 98.82% |
| Year 7 | $22,294.49 | $2,412.72 | 122.94% |
| Year 8 | $25,000.00 | $2,705.51 | 150.00% |
| End of period | $25,000.00 | $15,000.00 | 150.00% |
What Is a Growth Rate of Investment Calculator?
A growth rate of investment calculator converts a beginning value, an ending value and a holding period into a single annual rate. That rate — the compound annual growth rate, or CAGR — is the number investors use to compare investments of different sizes and durations on equal footing. It answers the question "what constant annual rate would turn the start value into the end value?".
The tool also handles two adjustments that change the answer materially. Dividends turn the price CAGR into a total-return CAGR, which is what an investor who reinvested income actually experienced. Inflation converts the nominal result into a real one, showing how much of the growth was purchasing power and how much was simply currency debasement.
How It Works
CAGR is the ratio of final to initial value raised to the power of one divided by the number of years, minus one. A $10,000 investment that becomes $25,000 in eight years has a ratio of 2.5; the eighth root of 2.5 is 1.1215, so the CAGR is 12.15% a year. Note how different that is from the simple average: the total gain is 150%, and dividing by eight gives 18.75% a year, which would overshoot the ending value dramatically if it were accurate.
The table restates the same result as a smooth annual path, growing the initial value at the CAGR and showing the gain each year and the cumulative growth. It is not a forecast — it is the constant-rate equivalent of what actually happened. The final row reconciles to the ending value you entered, which makes the arithmetic easy to audit.
Two supporting figures round out the picture. The doubling time is the exact number of years needed for the value to double at the calculated rate, which is the logarithm of two divided by the logarithm of one plus the rate. The rule of 72 gives the familiar mental estimate — 72 divided by the percentage rate — and the calculator shows both so the shortcut can be sanity-checked against the precise figure.
Understanding Your Results
The primary card shows the CAGR with the total growth and the real growth rate underneath. The three statistics beside it give the doubling time, the total-return CAGR including dividends, and the multiple of money earned. Summary Statistics adds the dollar growth, the average dollars gained per year, the dividend total, the rule-of-72 estimate, and the final value expressed in today's purchasing power.
Because CAGR uses only the endpoints, it can flatter a volatile investment: a fund that fell 60% and then tripled shows an attractive rate while an investor who lived through the drawdown may have sold at the bottom. Use the growth rate as the headline summary, and pair it with drawdown or volatility data when judging whether the path was tolerable. For plans with ongoing contributions, the endpoint ratio describes the account but not your decisions, so a money-weighted return is the better measure there.
Frequently Asked Questions
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