Compound Annual Growth Rate (CAGR) Calculator
Calculate smooth annualized returns and project future investment values.
Find CAGR (%)
Calculate growth rate from known values.
Compound Annual Growth Rate
Project Future Value ($)
Calculate ending amount from a known rate.
Ending Value
Why Compound Annual Growth Rate Matters
The Compound Annual Growth Rate is an essential metric for investors and business owners because it accurately measures the smoothed-out, annualized yield of an asset over time. Unlike absolute percentage growth, which simply looks at the difference between the starting and ending numbers, this metric accounts for the compounding effect—meaning it calculates the rate as if profits were reinvested at the end of each period.
Real-World Applications
You will frequently encounter this measurement in financial reports, prospectus documents, and business projections. Here are the most common scenarios where this metric is applied:
- Investment Returns: Comparing the historical performance of two different mutual funds or ETFs (like comparing SPY against an international fund) over a 5 or 10-year period.
- Business Revenue: Tracking a company's sales growth over multiple fiscal years to present to investors or stakeholders.
- Market Sizing: Estimating how fast an entire industry or sector is expanding, often seen in pitch decks to justify market opportunity.
The Rule of 72
If you are trying to do quick mental math to determine how long it takes to double your money based on a specific growth rate, use the Rule of 72. Divide the number 72 by your expected annual growth rate. For instance, if you project a 9% return, it will take approximately 8 years (72 ÷ 9) to double your initial capital.
Limitations to Consider
While highly useful for comparative analysis, be aware that this is a smoothed metric. It assumes a steady, identical growth rate every single year. In reality, the stock market is highly volatile. You might experience a 20% gain one year, a 10% loss the next, and a 5% gain after that. This calculation completely ignores that turbulent journey and only measures the direct line between the starting value and the ending value. For more complex, ongoing contribution modeling, use our Compound Interest Growth Calculator instead.
Frequently Asked Questions
What is Compound Annual Growth Rate (CAGR)?
Compound Annual Growth Rate (CAGR) is the precise rate of return that would be required for an investment to grow from its beginning balance to its ending balance, assuming the profits were reinvested at the end of each year of the investment's lifespan.
How is CAGR calculated?
The formula for CAGR is: (Ending Value / Beginning Value)^(1 / Number of Years) - 1. You divide the final amount by the initial amount, raise that to the power of one divided by the number of years, and subtract one.
What is considered a good CAGR?
A 'good' CAGR depends heavily on the context and asset class. Historically, the stock market (S&P 500) has returned an average CAGR of around 7-10% adjusting for inflation. For venture capital or high-growth tech startups, a good CAGR might be 30% or more.
Can CAGR be negative?
Yes. If the ending value of your investment or revenue is less than the beginning value, the CAGR will be negative, indicating a loss of value over the measured period.
What are the limitations of CAGR?
The main limitation of CAGR is that it smooths out volatility. It implies a steady, constant growth rate over the time period, ignoring any massive swings, losses, or uneven gains that happened between the start and end dates.