AAR Formula:
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The AAR (Average Annual Return) is a percentage figure used to report historical returns of investments such as mutual funds and stocks. It represents the average amount of money earned by an investment each year over a given time period.
The calculator uses the AAR formula:
Where:
Explanation: The equation calculates the average return per year by dividing the total returns by the number of years in the investment period.
Details: AAR provides investors with a simple way to compare the performance of different investments over time. It helps in assessing the historical performance and making informed investment decisions.
Tips: Enter the total returns in dollars and the number of years. Both values must be positive numbers (returns > 0, years ≥ 1).
Q1: What is the difference between AAR and CAGR?
A: AAR calculates simple average returns, while CAGR (Compound Annual Growth Rate) accounts for compounding effects over time.
Q2: When should I use AAR vs other return metrics?
A: AAR is useful for quick comparisons, but for accurate long-term performance assessment, CAGR is generally preferred.
Q3: Can AAR be negative?
A: Yes, if the total returns are negative over the period, the AAR will also be negative, indicating average annual losses.
Q4: What are good AAR values for investments?
A: Good AAR values depend on the investment type and market conditions. Generally, higher positive returns are better, but should be compared against benchmarks and risk levels.
Q5: Does AAR account for inflation?
A: No, AAR calculates nominal returns. For real returns, inflation should be subtracted from the AAR figure.