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Compound interest: what it is, how it works and how to calculate it

Understand what compound interest is, how it works and learn how to calculate it. Discover how this concept can impact your investments!
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Understand everything about compound interest

Have you ever stopped to think about how interest can transform your finances? If you’re just starting to understand the world of personal finance, you’ve probably heard of “compound interest”. But what exactly does this mean?

It may sound complicated, but believe me, it’s simpler than you think, and understanding this concept can make all the difference to your pocket. In this article, we’ll break down this concept, show you how to calculate compound interest in a simple way and share some tips!

What is compound interest?

First, let’s understand the basics. Compound interest is simply the interest you pay or receive on the initial amount (the principal) plus the interest that has already been added. In other words, it’s not just about the money you put in or borrow, but also about the interest that accumulates over time.

Imagine you have a bank account that earns compound interest. When the bank pays interest on your balance, the original amount in the account isn’t the only one generating more interest; the interest you earned the previous month also starts generating more interest the following month.

It’s the famous “snowball effect”, except that instead of losing control of the situation, you earn more money. The bad news is that when you’re paying compound interest, this effect can be the opposite, and debts can grow rapidly.

How does compound interest work?

Now for the part that scares people the most: calculating compound interest. But don’t worry, the formula isn’t that complicated. The basic calculation is:

M = P * (1 + i) ^ n
Where:

  • M is the final value (what you will have or what you will pay in the future);
  • P is the initial amount or principal (how much you have or owe initially);
  • i is the interest rate per period (expressed in decimal form, e.g. 5% becomes 0.05);
  • n is the number of time periods (this can be months, years, etc.).

Let’s do a quick simulation so you can better understand how this works.

Practical example: how it works in real life

Let’s say you have $1,000 in your bank account, and the compound interest rate is 5% per year. Then, every year, your balance will be updated like this:

  • After 1 year: $1,000 * (1 + 0.05) = $1,050;
  • After 2 years: $1,050 * (1 + 0.05) = $1,102.50;
  • After 3 years: $1,102.50 * (1 + 0.05) = $1,157.63.

And so on. Each year, the amount you earn in interest increases, as it is also calculated on the amount of interest you earned the previous year. That’s the power of compound interest: the longer you leave your money invested, the more it grows!

How can you avoid the negative effects of compound interest?

Avoiding the negative effects of compound interest is simple in principle, but it does require discipline. Want to know more about how to avoid the negative effects? Below are some tips to help you understand better!

  • Pay off your debts as soon as possible: the longer you put off paying, the more compound interest will increase the value of your debt;
  • Use compound interest to your advantage: invest as much as you can, the sooner the better;
  • Avoid high-interest long-term loans: loans with high compound interest, especially long-term ones, can be very damaging to your financial health.

Conclusion

Compound interest can be a blessing or a curse, depending on which side of the coin you’re on. When you use it to your advantage, your money grows exponentially. However, if you are in debt, the story changes, and debts can grow very quickly.

The key is to know how to calculate them, understand how they work and use them intelligently, both for saving and investing.

Now that you understand how they work, how about applying this knowledge to your financial life?