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Finance

CAGR Calculator

Calculate compound annual growth rate from a beginning value, ending value, and investment period, with total return and gain or loss.

Calculate CAGR
Enter two endpoint values and the elapsed period to calculate annualised compound growth.

Enter years from 0.01 to 100, with up to two decimal places.

Your CAGR result will appear here

Enter the beginning value, ending value, and period, then select Calculate CAGR.

Compound annual growth rate formula

The formula converts the complete endpoint change into a smooth annual compound rate. It does not reconstruct the actual year-by-year path.

CAGR = [(Ending value ÷ Beginning value)^(1 ÷ Years) − 1] × 100

Ending value
Value at the end of the selected period
Beginning value
Positive value at the start of the period
Years
Elapsed period in years, including supported fractions

CAGR calculation example

If a value grows from ₹1,00,000 to ₹1,61,051 over five years, the calculator finds the constant annual compound rate that connects those two endpoints.

Sample inputs

Beginning value
₹1,00,000
Ending value
₹1,61,051
Investment period
5 years

Example results

CAGR
10%
Absolute gain
₹61,051.00
Total return
61.05%
Growth multiple
1.61×

Understand your CAGR result

Learn what annualised endpoint growth can explain—and what it leaves out.

What CAGR means

CAGR is the constant annual compound rate that would turn a beginning value into an ending value over the selected period. It summarises two known endpoints; it is not the actual return recorded in every year.

How to use the CAGR calculator

  1. Enter the positive value at the beginning of the period.
  2. Enter the value at the end; use zero only when the ending value was completely lost.
  3. Enter the elapsed time in years. Fractional years are accepted to two decimal places.
  4. Calculate and compare CAGR with the total return and absolute gain or loss.

How the CAGR formula works

The ending-to-beginning ratio is raised to the inverse of the period, then one is subtracted. This produces the constant annual compound rate that would connect the endpoints.

How to interpret CAGR

A positive CAGR means the ending value is higher; a negative CAGR means it is lower. CAGR is useful for comparing differently sized values across periods, but comparisons should use consistent assumptions.

CAGR versus total return

CAGR and total return compared
MeasureWhat it showsTime treatment
CAGRA smooth annualised rateAdjusts for the length of the period
Total returnThe complete endpoint percentage changeDoes not annualise the change

Worked CAGR example

A beginning value of ₹1,00,000 and ending value of ₹1,61,051 over five years produce an approximately 10% CAGR, ₹61,051 absolute gain, 61.051% total return, and 1.61051× growth multiple.

Declines and a zero ending value

An ending value below the beginning value produces a negative CAGR. A zero ending value is treated as a complete loss, so both CAGR and total return are -100%.

When CAGR is useful

  • Summarise multi-year endpoint growth in one annualised figure.
  • Compare like-for-like growth rates across periods of different lengths.
  • Check the annual rate implied by a known beginning and ending value.

Limitations and assumptions

Common CAGR mistakes

  • Using zero or a negative beginning value.
  • Confusing total return with an annualised return.
  • Treating CAGR as the return earned in every individual year.
  • Ignoring contributions, withdrawals, fees, taxes, or inflation embedded in the endpoint values.
  • Annualising a very short period without explaining how sensitive the result is.

Practical comparison tips

  • Use the same valuation basis and currency for both endpoints.
  • Compare like-for-like periods and measures.
  • Review total return alongside CAGR.
  • Use other evidence to assess risk and volatility.

Frequently asked questions

What does CAGR mean?

CAGR means compound annual growth rate. It expresses the constant annual rate that would connect a beginning value to an ending value over the selected period.

Is CAGR the same as total return?

No. Total return measures the full percentage change from beginning to end. CAGR annualises that change, so the two figures answer different questions.

Can CAGR be negative?

Yes. When the ending value is below the beginning value, CAGR is negative. An ending value of zero represents a complete loss and produces a CAGR of -100%.

Can I use a period shorter than one year?

Yes. Enter a fractional period from 0.01 year, using no more than two decimal places. Annualising a very short period can produce an extreme figure, so interpret it carefully.

Does CAGR show year-by-year volatility?

No. CAGR smooths the entire period into one annualised rate. It does not show the sequence of gains, losses, cash flows, or volatility between the endpoints.

Does a higher historical CAGR guarantee a better investment?

No. CAGR does not show risk, volatility, liquidity, costs, or future performance. It should not be used alone to judge whether an investment is suitable.

Can I use CAGR when money was added or withdrawn?

A simple endpoint CAGR does not adjust for intermediate cash flows. For investments with contributions or withdrawals, a cash-flow-aware return measure may be more appropriate.

Does the calculator include inflation, fees, or taxes?

No. Enter endpoint values that reflect whichever effects you want included. The calculator itself does not separately adjust for inflation, fees, taxes, or distributions.

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