### Compound Interest Cheatsheet
#### Key Concepts from Charlie Munger
1. **Definition**
- **Compound Interest**: The process where the value of an investment increases because the earnings on an investment, both capital gains and interest, earn interest as time passes.
2. **Principles of Compound Interest**
- **Time**: The longer you let your investment grow, the more you benefit from compound interest.
- **Rate of Return**: Higher rates of return significantly increase the effects of compounding.
- **Reinvestment**: Continuously reinvesting earnings accelerates the growth of your investment.
3. **Quotes and Applications**
- **Patience**: "Resist the natural human bias to act." (Charlie Munger)
- **Application**: Allow investments to grow over time without frequent interference.
- **Decisiveness**: "When proper circumstances present themselves, act with decisiveness and conviction."
- **Application**: Make well-informed investment decisions and stick with them.
- **Opportunity**: "Opportunity meeting the prepared mind: that's the game."
- **Application**: Be prepared to take advantage of compounding opportunities when they arise.
4. **Mathematical Formula**
- **Compound Interest Formula**: $( A = P (1 + \frac{r}{n})^{nt} )$
- \( A \) = the future value of the investment/loan, including interest
- \( P \) = the principal investment amount
- \( r \) = the annual interest rate (decimal)
- \( n \) = the number of times that interest is compounded per year
- \( t \) = the number of years the money is invested or borrowed for
#### Practical Tips
- **Start Early**: The earlier you start investing, the more you benefit from compounding.
- **Consistent Contributions**: Regularly add to your investments to maximize growth.
- **Avoid Withdrawals**: Keep your investments intact to benefit fully from compounding.
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**Tags**: #finance #investment #compound-interest #charlie-munger
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