Compound Growth Formula:
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This calculator computes the future value of an amount after applying a consistent 3% annual increase over a specified number of years. It demonstrates the power of compound growth over time.
The calculator uses the compound growth formula:
Where:
Explanation: Each year's growth builds upon the previous year's total, creating exponential growth rather than simple linear growth.
Details: Understanding compound growth is essential for financial planning, investment analysis, inflation projections, and many economic forecasts.
Tips: Enter the original amount and the number of years. The calculator will show the future value after applying 3% annual growth for each year.
Q1: Why use 3% specifically?
A: 3% is a common long-term inflation target and moderate growth rate used in many economic models, though you can adjust the formula for different rates.
Q2: How does this compare to simple interest?
A: Compound growth yields higher returns over time as you earn "interest on interest" while simple interest only applies to the original principal.
Q3: What's the Rule of 72 for 3% growth?
A: The Rule of 72 estimates doubling time (72/3 = 24 years) for a 3% growth rate.
Q4: Can I use this for salary growth projections?
A: Yes, if you expect consistent 3% annual raises, this shows your future salary in today's dollars (not accounting for inflation).
Q5: How accurate are these projections?
A: They're mathematically precise for the given rate, but real-world results vary as growth rates rarely stay exactly constant.