Average Annual Growth Rate Formula:
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The Average Annual Growth Rate (AAGR) is the average increase in value of an investment or asset per year over a specified period of time. It represents the mean annual growth rate over multiple years.
The calculator uses the AAGR formula:
Where:
Explanation: The formula calculates the geometric mean of annual growth rates, providing a more accurate representation of compound growth over time.
Details: AAGR is crucial for investment analysis, business planning, economic forecasting, and comparing growth rates across different time periods or investments.
Tips: Enter the starting value, ending value, and number of years. All values must be positive numbers with years greater than zero.
Q1: What's the difference between AAGR and CAGR?
A: AAGR calculates simple average growth, while CAGR (Compound Annual Growth Rate) accounts for compounding effects and is generally more accurate for long-term analysis.
Q2: Can AAGR be negative?
A: Yes, if the ending value is less than the starting value, AAGR will be negative, indicating an average annual decrease.
Q3: What are typical AAGR values for investments?
A: Stock market investments typically average 7-10% AAGR, while bonds average 3-5%. Results vary based on market conditions and time period.
Q4: How accurate is AAGR for volatile investments?
A: AAGR may not fully capture volatility as it smooths out annual fluctuations. For volatile assets, additional risk metrics should be considered.
Q5: Can AAGR be used for monthly data?
A: Yes, but you would need to convert monthly growth to annual equivalent by adjusting the time period calculation.