Calculate the annual appreciation rate from a starting and ending value over a number of years, or project a future value from an appreciation rate.
Appreciation Rate Formulas
The calculator uses one of three formulas depending on the mode you select.
Annual rate (CAGR):
Future value:
Total change:
- V_initial — value at the start of the period
- V_current — value at the end of the period
- V_start — present value being projected forward
- n — number of years
- r — annual appreciation rate, expressed as a decimal in the formula and a percent in the inputs
- FV — projected future value
Enter the time span directly in years. The annual rate is an effective compound rate, and fractional years extend the constant-growth equation. The formulas do not account for inflation, taxes, fees, or cash flows added or removed during the period.
Reference Tables
The following rates are hypothetical scenarios for learning how appreciation and depreciation work. They are not estimates of typical asset returns or forecasts.
| Asset | Hypothetical annual rate |
|---|---|
| Growth scenario A | 3% to 5% |
| Growth scenario B | 0% to 1.5% |
| Growth scenario C | 8% to 10% |
| Growth scenario D | 4% to 7% |
| Growth scenario E | 2% to 3% |
| Depreciation scenario | -15% to -20% |
The table below shows how an annual rate compounds into a total appreciation figure over time.
| Annual rate | 5 years | 10 years | 20 years | 30 years |
|---|---|---|---|---|
| 2% | 10.4% | 21.9% | 48.6% | 81.1% |
| 4% | 21.7% | 48.0% | 119% | 224% |
| 6% | 33.8% | 79.1% | 221% | 474% |
| 8% | 46.9% | 116% | 366% | 906% |
| 10% | 61.1% | 159% | 573% | 1,645% |
Worked Example and FAQ
Example. You bought a home for $250,000 and it is now worth $385,000 after 9 years.
- Total appreciation: (385,000 − 250,000) ÷ 250,000 × 100 = 54.0%
- Annual rate: (385,000 ÷ 250,000)^(1/9) − 1 = 4.91% per year
Why is the annual rate lower than total appreciation divided by years? Compounding. A 54% total gain over 9 years is not 6% per year; it is closer to 4.91% because each year’s growth builds on a larger base.
Should I use nominal or real values? The calculator works with whatever you enter. If you want a real (inflation-adjusted) rate, convert both values to the same dollar year before entering them.
Can the rate be negative? Yes. A negative result means the asset depreciated. The same formulas apply.
How do currencies work? Results are shown with a $ sign, but the math works for any currency. No currency conversion is performed; use values in the same currency.
