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CAGR Calculator — حاسبة مجانية عبر الإنترنت | HomeCalcPro
حسابات دقيقة وفورية باستخدام الصيغ الرياضية القياسية لـ CAGR Calculator.
Parameters & Values
Computed Financial Summary
Real-timeAdjust parameters to update tax and amortization results.
Compound Annual Growth Rate Formula
Transparent mathematical methodology explained in plain English.
CAGR % = [ (Ending Value / Beginning Value)^(1 / Number of Years) - 1 ] × 100Calculates the constant annual geometric growth rate required for an investment to grow from its initial value to its final balance over a specified duration.
Variables Explained:
- Beginning Value ($): Initial investment or starting revenue.
- Ending Value ($): Final investment value or ending revenue.
- Number of Years: Elapsed duration in years.
$50,000 Portfolio Growing to $145,000 over 8 Years
Calculating Compound Annual Growth Rate.
- Total Return: ($145,000 - $50,000) / $50,000 = 190.0% total gain.
- Apply CAGR Formula: ($145,000 / $50,000)^(1/8) - 1 = (2.90)^0.125 - 1.
- CAGR = 1.1423 - 1 = 14.23% per year.
الأسئلة الشائعة (FAQ): CAGR Calculator
Click any question below to expand quick answers, formulas, and expert tips.
Why is CAGR preferred over average annual return?
Average annual return distorts volatile returns (e.g. +50% followed by -50% is a 0% arithmetic average but a -25% real loss). CAGR accurately reflects real geometric wealth compounding.
What is a typical S&P 500 historical CAGR?
The S&P 500 index has delivered a historical nominal CAGR of approximately 10.2% per year over the past 50 years (approx 7.0% adjusted for inflation).