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Percentage Growth Calculator per Year

Annual Growth Formula:

\[ \text{Annual Growth %} = \left(\left(\frac{\text{Final Value}}{\text{Initial Value}}\right)^{\frac{1}{\text{Years}}} - 1\right) \times 100 \]

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1. What is a Percentage Growth Calculator per Year?

Definition: This calculator determines the compound annual growth rate (CAGR) between an initial and final value over a specified number of years.

Purpose: It helps investors, business owners, and analysts understand the annualized growth rate of investments, revenues, or other metrics.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Annual Growth %} = \left(\left(\frac{\text{Final Value}}{\text{Initial Value}}\right)^{\frac{1}{\text{Years}}} - 1\right) \times 100 \]

Where:

Explanation: The formula calculates the consistent annual rate at which the value would have grown if it grew at a steady rate each year.

3. Importance of Annual Growth Percentage

Details: Understanding annual growth rates helps in comparing different investments over time, forecasting future values, and evaluating performance.

4. Using the Calculator

Tips: Enter the initial value, final value, and number of years between them. All values must be > 0. The result shows the compound annual growth rate.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between simple and compound growth?
A: Simple growth assumes linear growth, while compound growth accounts for growth on previously accumulated growth (exponential).

Q2: Can this calculator show negative growth?
A: Yes, if the final value is less than the initial value, the calculator will show a negative percentage (decline).

Q3: What time periods can I use?
A: While typically used with years, you can use any consistent time period (months, quarters, etc.) as long as you're consistent.

Q4: How accurate is this for volatile investments?
A: This shows the smoothed annual rate and doesn't reflect volatility. Actual year-to-year growth may vary significantly.

Q5: Can I use this for non-financial metrics?
A: Absolutely! It works for any measurable quantity like website traffic, production output, or population growth.

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