Compound Interest Formula:
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This calculator shows how a $25 initial deposit grows over time with compound interest. It demonstrates the power of compounding, where you earn interest on both your initial deposit and accumulated interest.
The calculator uses the compound interest formula:
Where:
Explanation: The formula calculates how money grows when interest is earned on previously accumulated interest, with more frequent compounding leading to greater growth.
Details: Compound interest is a fundamental concept in finance that shows how investments grow exponentially over time. Even small regular contributions can grow significantly with time and compounding.
Tips: Enter the annual interest rate as a percentage (e.g., 5 for 5%), the number of times interest is compounded per year (e.g., 12 for monthly), and the time period in years.
Q1: Why start with $25?
A: This demonstrates how even small amounts can grow significantly over time with compound interest.
Q2: What's the difference between simple and compound interest?
A: Simple interest is calculated only on the principal, while compound interest is calculated on principal plus accumulated interest.
Q3: How does compounding frequency affect growth?
A: More frequent compounding (daily vs. annually) results in slightly higher returns due to earning interest on interest more often.
Q4: Is this calculator realistic for real savings?
A: While simplified, it demonstrates the principle. Real savings accounts may have variable rates and additional factors.
Q5: Can I use this for other principal amounts?
A: For other amounts, simply multiply the result by your principal divided by 25 (e.g., for $100, multiply result by 4).