CAGR Calculator
Calculate the compound annual growth rate of an investment
Interactive Sandbox
Adjust values in real-time and observe mathematical cause-and-effect
Exponential Compounding Growth: Returns generate subsequent returns over time t, rapidly accelerating capital growth.
Variable Mechanics
Roles, constraints & impacts
Beginning Value
Formula Parameter
Ending Value
Formula Parameter
Number of Years
Formula Parameter
At a Glance
Gotchas, units & real-world use
Formula Nature & Mechanics
Exponential Compounding Growth: Returns generate subsequent returns over time t, rapidly accelerating capital growth.
Common Mistakes & Traps
- Entering annual percentage rate (e.g. 7%) as 7 instead of converting to decimal 0.07.
- Neglecting the compounding frequency (n): monthly compounding produces higher yield than annual.
- Ignoring inflation drag when evaluating long-term nominal returns.
Dimensional Analysis & Units
Currency × (1 + rate)^time = Future Currency ($)
Real-World & Industry Application
Retirement 401(k) / Roth IRA compounding, mortgage amortization schedules, bond yield analysis, and inflation depreciation modeling.
Worked Example: CAGR
Given:
- begin = 10000
- end = 20000
- years = 5
- CAGR = ((20000 / 10000)^(1/5) - 1) × 100
- = (2^0.2 - 1) × 100
- = (1.1487 - 1) × 100
- = 14.87%
Answer: 14.87
Frequently Asked Questions
What is the CAGR formula?
CAGR = ((End / Begin)^(1/n) - 1) × 100. Calculate the compound annual growth rate of an investment.
How do I calculate CAGR?
Enter Beginning Value (begin), Ending Value (end), Number of Years (years) into the calculator. It applies CAGR = ((End / Begin)^(1/n) - 1) × 100 and shows every step of the working.
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