COMPOUND ANNUAL GROWTH RATE (CAGR)

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Definition

The constant annual growth rate that would take an initial value to a final value over a period, assuming compounding.


Summary

CAGR is a useful metric that smooths out year-to-year volatility to show the average annual growth rate of an investment or business metric over multiple years. Unlike simple average returns, CAGR accounts for the compounding effect - where gains in one period generate additional gains in subsequent periods. It's calculated using the formula: CAGR = (Ending Value / Beginning Value)^(1/number of years) - 1. This metric is particularly valuable for comparing investments or business performance over different time periods.

Usage Context

Essential for investment analysis, portfolio performance evaluation, business growth assessment, and financial planning. Critical when comparing investments with different time horizons or when analyzing long-term trends in financial data.

Common Confusions

  • Thinking CAGR and average annual return are the same thing
  • Forgetting that CAGR assumes constant growth when actual growth varies yearly
  • Confusing CAGR with simple growth rate calculations
  • Not understanding that CAGR is a smoothed rate, not actual year-by-year performance
  • Misunderstanding the compounding effect in the calculation

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