Compound Annual Growth Rate
Imagine you invest ₹100. In Year 1, the market booms and your investment goes up 50% (to ₹150). In Year 2, the market crashes and goes down 50% (to ₹75).
What was your average return? If you simply average the percentages: (+50% + -50%) / 2 = 0%. But a 0% return implies you should still have ₹100! Instead, you have ₹75, which means you've actually lost 25% of your money. This mathematical illusion is why simple averages are useless for evaluating volatile investments.
To find the true return, finance professionals use the Compound Annual Growth Rate (CAGR). CAGR measures the smooth, annualized rate of return as if the investment had grown at a perfectly steady rate every single year, compounding upon itself.
CAGR = [(Final Value / Initial Value) ^ (1 / Years)] - 1CAGR is the only accurate way to compare the performance of two entirely different assets—like a Real Estate property you held for 10 years versus a Mutual Fund you held for 3 years. By converting chaotic, multi-year price swings into a single annualized metric, you can make apples-to-apples comparisons of capital efficiency.
Why is a simple average of annual returns misleading for investments?