What Is CAGR? Simply Explained
The Compound Annual Growth Rate (CAGR) represents the smoothed annualized gain of an investment over a defined multi-year period, effectively stripping out the volatility of year-to-year returns to show a constant growth rate.
Definition
CAGR (Compound Annual Growth Rate)
The Compound Annual Growth Rate (CAGR) represents the smoothed annualized gain of an investment over a defined multi-year period, effectively stripping out the volatility of year-to-year returns to show a constant growth rate.
Why it matters
CAGR matters because it provides a standardized metric to compare the growth of different investments or businesses over varying time horizons, allowing investors to make more informed decisions by understanding the true compound effect of their returns, rather than being misled by fluctuating annual gains.
How it works
CAGR works by calculating the geometric mean of growth over a period, rather than the simple arithmetic mean. It assumes that the investment's earnings are reinvested at the end of each year, allowing for compounding. The formula for CAGR is: CAGR = (Ending Value / Beginning Value)^(1 / Number of Years) - 1 Where: * Ending Value is the investment's value at the end of the period. * Beginning Value is the investment's value at the start of the period. * Number of Years is the total duration of the investment.
Example
Evaluating a Stock Investment
Beginning Investment Value
$10,000
Year 1 End Value
$11,000
Year 2 End Value
$13,000
Year 3 End Value
$12,500
Year 4 End Value
$15,000
Total Investment Period
4 years
Using the CAGR formula: ($15,000 / $10,000)^(1/4) - 1 = (1.5)^(0.25) - 1 ≈ 1.10668 - 1 ≈ 0.10668 or 10.67%. This indicates that, on average, the investment grew by 10.67% per year over the four-year period, smoothing out the yearly fluctuations.
Key Takeaways
CAGR provides a smoothed, annualized growth rate, simplifying complex investment performance over time.
It accounts for the compounding effect, showing how an investment would have grown if all profits were reinvested.
CAGR is a powerful tool for comparing the efficiency and long-term potential of different investment vehicles.
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Sources & References
- Compound Annual Growth Rate (CAGR) — Investopedia
- Compound Annual Growth Rate (CAGR) — Corporate Finance Institute (CFI)
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