Калькулятор CAGR (среднегодовой темп роста)
Бесплатный калькулятор CAGR. Введите начальную и конечную стоимость и число лет, чтобы рассчитать среднегодовой темп роста, общую доходность и кратность роста.
Найдите среднегодовой темп роста инвестиции по начальной, конечной стоимости и сроку.
CAGR Calculator
CAGR — the compound annual growth rate — is the single, steady yearly rate that would take an investment from its starting value to its ending value over a given number of years. It is one of the most useful ways to compare investments, because it expresses lumpy, real-world returns as one clean annualized number.
What is CAGR?
If an investment grew from a beginning value to an ending value over n years, its CAGR is:
- CAGR = (Ending Value ÷ Beginning Value)^(1 ÷ n) − 1
Multiply by 100 to express it as a percentage. The result answers the question: “What constant annual rate, compounded each year, produces this growth?”
This calculator also reports two companions:
- Total return — the cumulative percentage gain over the entire period.
- Growth multiple — how many times the money grew (ending ÷ beginning).
How to use this calculator
- Enter the beginning value — what the investment was worth at the start.
- Enter the ending value — what it is worth now (or at the end of the period).
- Enter the number of years the investment was held (decimals are fine, e.g. 2.5).
- Read the CAGR, total return, and growth multiple.
Examples
Doubling in five years. 2,000 over 5 years. The multiple is 2, the total return is 100%, and the CAGR is 2^(1/5) − 1 ≈ 14.87%.
Quadrupling in two years. 400 over 2 years gives a multiple of 4, a total return of 300%, and a CAGR of 4^(1/2) − 1 = 100% per year.
A loss. If 4,000 over 4 years, the CAGR is (0.8)^(1/4) − 1 ≈ −5.43% per year.
Frequently asked questions
How is CAGR different from average return? A simple average of yearly returns ignores compounding and can mislead. CAGR accounts for compounding and reflects the actual start-to-finish growth.
Does CAGR account for deposits or withdrawals? No. It assumes a single lump sum left untouched. For cash flows in and out, use money-weighted measures like IRR.
Can CAGR be negative? Yes — when the ending value is below the beginning value, CAGR is negative, representing an annualized loss.