Compound Interest Cheat Sheet
Compound interest is the eighth wonder of the world. He who understands it, earns it; he who doesn't, pays it. It's the process of earning interest on both the initial principal and the accumulated interest from previous periods.
Core Principles
- Interest on Interest: Earn returns not just on your initial investment, but also on the interest already earned.
- Time is Your Ally: The longer your money compounds, the more significant the growth.
- Frequency Matters: More frequent compounding (daily vs. annually) leads to slightly faster growth.
- Starting Early is Key: Even small amounts invested early can grow substantially over time.
- Reinvestment is Crucial: Ensure your earnings are automatically reinvested to fuel further compounding.
- Power of Consistency: Regular contributions amplify the effects of compound interest.
Formulas
- $A = P \left(1 + \frac{r}{n}\right)^{nt}$
- Where: A = the future value of the investment/loan, including interest
- P = the principal investment amount (the initial deposit or loan amount)
- r = the annual interest rate (as a decimal)
- n = the number of times that interest is compounded per year
- t = the number of years the money is invested or borrowed for
Quiz
- What is the primary advantage of compound interest?: It allows interest to earn interest.
- Which factor has the most significant impact on long-term compound growth?: Time
- If interest is compounded annually, what does 'n' represent in the formula?: 1
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