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Yearly Percent Increase Calculator Over Time

Yearly Percent Increase Formula:

\[ \text{New Value} = \text{Old Value} \times (1 + \text{Rate}/100)^{\text{Years}} \]

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1. What is Yearly Percent Increase?

The yearly percent increase calculator shows how a value grows over time when subject to compound growth at a constant annual rate. This is commonly used for financial projections, investment returns, inflation calculations, and population growth estimates.

2. How Does the Calculator Work?

The calculator uses the compound growth formula:

\[ \text{New Value} = \text{Old Value} \times (1 + \text{Rate}/100)^{\text{Years}} \]

Where:

Explanation: The formula accounts for compound growth, where each year's growth builds upon the previous year's total, not just the original amount.

3. Importance of Compound Growth Calculation

Details: Understanding compound growth helps in financial planning, investment decisions, and projecting future costs or revenues. It demonstrates how small percentage changes can lead to significant differences over long periods.

4. Using the Calculator

Tips: Enter the starting value, annual growth rate (as percentage), and number of years. All values must be positive numbers (years must be at least 1).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between simple and compound growth?
A: Simple growth calculates interest only on the original amount, while compound growth calculates interest on both the original amount and accumulated interest.

Q2: How does changing the rate affect the outcome?
A: Small rate changes have exponential effects over time. A 5% vs 7% annual growth leads to dramatically different results over decades.

Q3: Can this calculator be used for depreciation?
A: Yes, by entering a negative rate, though most depreciation follows different models (straight-line, double-declining, etc.).

Q4: What's the Rule of 72?
A: A quick estimation tool: divide 72 by the annual rate to find how many years it takes for an investment to double (approximately).

Q5: Are there limitations to this calculation?
A: It assumes a constant growth rate, which rarely happens in reality. Actual growth rates typically fluctuate year-to-year.

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