Percentage Increase Formula:
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The percentage growth calculation shows how an initial value changes over time when it grows at a constant annual rate. This compound growth model is widely used in finance, economics, and population studies.
The calculator uses the compound growth formula:
Where:
Explanation: The formula calculates exponential growth, where each year's growth builds on the previous year's total.
Details: Compound growth means that growth each period is calculated based on the accumulated value, not just the original amount. This leads to exponential growth over time.
Tips: Enter the starting value, annual growth rate (as percentage), and number of years. The calculator will show the final value and a graph of growth over time.
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 accurate is this calculation for real-world scenarios?
A: It assumes a constant growth rate, which may not reflect real-world variability. For more accuracy, use actual year-by-year data.
Q3: Can I use this for negative growth rates?
A: Yes, enter a negative rate to calculate depreciation or decline over time.
Q4: What's the Rule of 72?
A: A quick way to estimate doubling time: divide 72 by the growth rate. For example, at 6% growth, money doubles in about 12 years.
Q5: How can I calculate monthly instead of annual growth?
A: Divide the annual rate by 12 and multiply years by 12 for monthly compounding.