CAGR Calculator (Compound Annual Growth Rate)

Calculate the accurate geometric annual growth rate of an investment over multiple years.

Parameters

Currency:
₹1 Lakh
₹2.50 Lakh
Years
1Years40Years
Compound Annual Growth RateTotal Absolute Return: 150.00%
20.11%
Initial Value
100,000
Final Value
250,000
Time Horizon
5 Years
CAGR
20.11%
Absolute Return
150.00%

About this Calculation

Calculate the accurate geometric annual growth rate of an investment over multiple years.

100% Client-SideZero Data TransmissionDeterministic Precision

CAGR Calculator (Compound Annual Growth Rate) Formula

CAGR = (Ending Value / Beginning Value)^(1 / n) - 1

Compound Annual Growth Rate (CAGR) measures the geometric mean return that provides the constant annualized rate of return on an investment over a multi-year period.

Variable Definitions
Ending ValueFinal valuation of the investment
Beginning ValueInitial initial cost or starting value
nNumber of holding periods in years
Calculation Steps
  1. 1Divide the final investment value by the initial starting value.
  2. 2Calculate the exponent: 1 divided by the number of years (1 / n).
  3. 3Raise the value ratio to the calculated exponent.
  4. 4Subtract 1 from the result and multiply by 100 to express as an annualized percentage.

Worked Example: Real-time Evaluation

Active Parameters
Active User Parameters: Beginning Value: ₹100,000 | Ending Value: ₹250,000 | Period (Years): 5 Years.

Mathematical Execution: Using the active input parameters, the in-browser execution engine evaluates the mathematical formula with zero latency.

All calculations and schedules recalculate instantly as inputs or sliders adjust.

Frequently Asked Questions

Average return is an arithmetic mean that ignores compounding and volatility. CAGR calculates the exact smoothed geometric growth rate that compounded from start to finish.

Assumptions & Accuracy

  • Assumes standard standard-state values
  • Rounded to standard decimal precision

Accuracy Note: Accurate to standard floating point precision.

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