Annual Percentage (CAGR) Calculator
Calculate the yearly percentage increase or decrease between a starting value and an ending value across multiple years.
What This Annual Percentage Calculator Does
This tool calculates the annualized percentage change between two values over time. In finance, this is often called CAGR (Compound Annual Growth Rate). It tells you the steady yearly rate that would turn your starting amount into your ending amount.
Instead of just dividing total growth by years, this method accounts for compounding. That makes it useful for investments, revenue growth, inflation-adjusted planning, and long-term forecasting.
Formula Used
Annual Percentage Rate = (Ending Value / Starting Value)^(1 / Years) - 1
The calculator also shows total percentage change and monthly-equivalent rate to give you more context.
Quick Example
- Starting Value: 10,000
- Ending Value: 16,000
- Years: 5
The annual percentage rate is about 9.86% per year. That means a steady 9.86% compounded annually would grow 10,000 into 16,000 over 5 years.
When to Use an Annual Percentage Calculator
- Comparing investment performance over different time periods
- Measuring year-over-year business growth across several years
- Estimating required growth rates for savings targets
- Evaluating sales or subscriber growth trends
- Understanding the pace of decline when values shrink over time
Annual Percentage vs. APR vs. APY
Annual Percentage Change (this calculator)
Measures how fast a value grows or shrinks each year over a period of time.
APR (Annual Percentage Rate)
Typically used for loans and credit products; often does not include compounding effects.
APY (Annual Percentage Yield)
Usually used for savings products and includes compounding within the year.
These terms are related but not identical. Always verify which definition is being used in financial products and reports.
Best Practices for Accurate Results
- Use positive values only for growth-rate calculations
- Use consistent time units (years, including fractional years when needed)
- Avoid rounding input values too early
- Interpret unusually high rates carefully; they may indicate short time windows or outlier data
Frequently Asked Questions
Can the annual percentage be negative?
Yes. If the ending value is lower than the starting value, the calculator returns a negative annual rate, indicating decline.
Why can't the starting value be zero?
The formula divides by the starting value. A zero starting value would make the calculation undefined.
Can I use this for periods shorter than one year?
Yes. Enter decimals in the years field, such as 0.5 for six months or 2.75 for two years and nine months.