Przejdź do treści
Liczbnik

CAGR Calculator

Enter the starting value, ending value and number of years, and the calculator returns the CAGR (compound annual growth rate), the total return over the whole period and the growth multiple of the investment.

Reviewed byRedakcja Liczbnik
Calculator
ResultCAGR (annual growth)14.87%
Total return
100%
Multiple (ending / starting)
2

How we calculate CAGR

CAGR = (ending value / starting value)^(1 / years) - 1, expressed as a percentage. Multiple = ending / starting. Total return = (multiple - 1) * 100. The starting value must be positive and the number of years greater than zero.

Example: PLN 10,000 -> PLN 20,000 over 5 years

For a starting value of PLN 10,000, an ending value of PLN 20,000 and 5 years: multiple = 20,000 / 10,000 = 2, total return = 100%, and CAGR = 2^(1/5) - 1 = 14.87% per year. This means a constant 14.87% annual rate would double the capital in 5 years.

Frequently asked questions

What is CAGR?

CAGR (Compound Annual Growth Rate) is the constant annual rate that would turn a starting value into an ending value over a period if growth were even year after year. It is a popular metric for assessing the growth pace of investments and portfolios. It smooths out fluctuations into one representative annual rate.

How is CAGR calculated?

CAGR = (ending value / starting value)^(1 / number of years) - 1, expressed as a percentage. First you compute the growth multiple, then raise it to the power of one over the number of years and subtract 1. This captures the compounding effect rather than just simple growth.

How does CAGR differ from total return?

Total return is the percentage change over the whole period regardless of its length. CAGR spreads that return into a constant annual rate, allowing comparison of investments of different durations. Doubling in 2 years and in 10 years gives the same total return but a very different CAGR.

What does the multiple mean?

The multiple is the ratio of ending value to starting value. It shows how many times the investment grew: 2 means doubling, 3 tripling, and 0.5 a loss of half its value. It is a raw growth measure without spreading it over years, useful as a quick reference alongside CAGR.

Can CAGR be negative?

Yes. If the ending value is lower than the starting value, the multiple is below 1 and CAGR is negative, describing the average annual rate of decline. A drop from 1000 to 500 over 2 years gives a CAGR of about -29.3% per year. A negative CAGR is a valid result for loss-making investments.

Why is CAGR better than an arithmetic average of returns?

An arithmetic average of annual returns can overstate the outcome because it ignores compounding. If an investment rises 50% and falls 50%, the arithmetic average is 0%, yet you actually lose 25%. CAGR (a geometric mean) always reflects the real growth of capital from start to end.

Indicative result

CAGR reflects historical growth and does not guarantee future results. It ignores contributions or withdrawals during the period. The result is for informational purposes only.
  • Future Value Calculator

    Calculate the future value (FV) of a lump sum and regular monthly contributions. Enter principal, annual rate, years and contribution — instant result.

    Personal finance
  • Compound interest calculator

    Calculate compound interest: final value, interest earned and capital growth. Free calculator with monthly, quarterly and yearly compounding.

    Savings
  • Investment return rate calculator

    Calculate total return and CAGR for any investment. Enter initial value, final value and number of years — instant result, free, no signup.

    Personal finance
See all