✨

The Power of Compound Interest

Learn why compound interest is so powerful and how to use it to grow your wealth and to prevent inflation from eroding your savings.

Notes

Understanding how your money grows is one of the most crucial steps in finance. While it might sound like a technical banking term, compound interest is an incredibly powerful concept that can dramatically change your financial future. It’s so powerful, in fact, that Albert Einstein is often quoted as calling it the "eighth wonder of the world."

Let’s break down why it matters, what it actually is, and how you can use this new tool to harness its power.

Why You Should Care About Compound Interest

The reason you should care is simple: inflation. Inflation quietly eats away at the value of your savings. An inflation rate of 2% per year (which many economists consider a healthy target) means that your money will be worth half as much in 20 years. Imagine saving your hard-earned money only to find it has lost half its value. Compound interest is the antidote. It's a force that can work for you through investments or against you in the form of debt.

Lex Fridman has a great interview with Michael Saylor where he discusses the importance of inflation and compound interest.

When you are saving, compound interest is like a snowball rolling downhill. At the top of the hill, the snowball is small. As it rolls, it picks up more snow. The bigger the snowball gets, the more snow it picks up with each rotation. By the time it reaches the bottom, what started as a handful of snow can be a massive boulder. Your investment is the snowball, and compound interest is the fresh snow it picks up with every turn, causing it to grow at an ever-increasing rate.

The Impact of Time and Consistency

Few investment instruments can provide a reliable long-term return. The legendary investor Warren Buffett stated that if he were managing a small portfolio for himself or his family, he would put 90% in a low-cost S&P 500 index fund and 10% in short-term government bonds. His reasoning is simple:

The stock market will grow over time and the S&P 500 reflects that growth. Low-cost index funds will outperform most actively managed strategies. A passive strategy ensures financial security without unnecessary risk or complexity.

Combining such a reliable long-term asset with compound interest can be a powerful tool for growing wealth over time. To illustrate how these factors play out, let's look at three different scenarios. For these examples, we'll assume the average annual return of the S&P 500 at 8.5% per year. Moreover, modern trading technology has made it easier than ever to invest in the S&P 500, as one can buy fractional shares of the S&P 500 ETF (SPY), removing the need to have a minimum investment amount.

Scenario 1: The Early Starter (Maria)

Maria
  • Age: 20
  • Monthly Savings until 30: $100
  • Monthly Savings from 30 to 65: $500
Maria decides to start investing early. By the time she turns 30, her investment account would grow to approximately $17,802. Then, she increases her savings to $500 a month until she turns 65. By the time she retires, her investment account would grow to approximately $1,465,602 from $222,000 in contributions.

Scenario 2: The Mid-Career Saver (Carlos)

Carlos
  • Age: 30
  • Initial Investment: $1,000
  • Monthly Savings: $500
  • Investment Horizon: 35 years (until age 65)
Carlos starts a bit later but saves consistently. By retirement at 65, his account would be worth approximately $1,173,590 from $211,000 in contributions.

Scenario 3: The Late Starter (John)

John
  • Age: 40
  • Initial Investment: $5,000
  • Monthly Savings: $1,000
  • Investment Horizon: 25 years (until age 65)
John starts investing seriously at 40. Despite his high savings rate, his shorter time horizon means his final amount is significantly less than Maria's and Carlos's. By retirement at 65, his account would be worth approximately $982,447 from $305,000 in contributions.

Key Observations: The results are surprising!

  • Maria (Scenario 1) turned $222,000 into $1,465,602. A 659% increase!
  • Carlos (Scenario 2) turned $211,000 into $1,173,590. A 556% increase!
  • John (Scenario 3) turned $305,000 into $982,447. A 322% increase!

Neither Carlos nor John could catch up to Maria's investment portfolio. Especially John, who started later, had less time for his investments to grow. Even though he was more aggressive with his savings after 40, he couldn't catch up.

🚀 The longer you have to grow your money, the more it can grow. Starting early, being consistent, and having a long time horizon are key to growing wealth.

A more realistic scenario would include inflation and volatility, but for this article, we will use the expected return. Next, we will dig deeper into what compound interest is and how it works.

What Is Compound Interest?

In the simplest terms, compound interest is "interest on interest."

To understand it, let's compare it to simple interest.

Simple Interest

Imagine you invest $1,000 at a 5% simple annual interest rate. Every year, you earn $50 (5% of $1,000). The interest is only calculated on your original deposit. After three years, you have your original $1,000 plus $150 in interest, totaling $1,150. The earnings are static.

Compound Interest

Now, let's look at the same $1,000 with a 5% interest rate, compounded annually. This means the returns from each year are added to the principal for the next year's calculation:

  1. Year 1: You earn $50 (5% of $1,000). Your new balance is $1,050.
  2. Year 2: The interest is calculated on your new balance. You earn 5% of $1,050, which is $52.50. Your new balance is $1,102.50.
  3. Year 3: You earn 5% of $1,102.50, which is $55.13. Your new balance is $1,157.63.

That extra $7.63 compared to simple interest might seem like pocket change now, but this effect snowballs dramatically over 10, 20, or 30 years. You are earning money not just on your initial investment, but on all the growth you've accumulated along the way.

How You Can Put Compound Interest to Work

The beauty of compound interest is that anyone can take advantage of it. The process combines time, consistency, and a reliable long-term financial instrument to grow your wealth.

  1. Time: The sooner you start investing, the longer your money has to compound. Starting early is the single biggest advantage you can give yourself.

  2. Consistency: It's not just about having a large sum to start. Regularly adding to your investments fuels the growth. Even small monthly contributions add significant weight to your "snowball."

  3. Expected Interest Rate: Represents how much your money grows each year in percentage terms. A common approach is to "buy the market," which means investing in an ETF that tracks a broad market index like the S&P 500 or the MSCI World. An 8.5% average annual return, the historical average of the S&P 500, is a reasonable baseline. You can read more about S&P 500 ETFs here.

Interactive Calculator

I created an interactive calculator to visualize the power of compound interest. You can find it here.

If you are not sure what the inputs mean, here is a quick explanation:

  • Step 1: Initial Investment: The amount of money you are starting with today.
  • Step 2: Contribute:
    • Monthly Contribution: How much you plan to consistently add each month.
    • Length of Time in Years: The crucial factor. See the difference between saving for 10 years versus 30 years!
  • Step 3: Interest Rate:
    • Expected Interest Rate: The annual return you expect.
    • Interest rate variance range: Investments rarely return the exact same amount every year. This feature lets you see a range of outcomes (best and worst-case scenarios) based on how much the rate might vary.

Takeaway

Compound interest is a fundamental force in finance. If you understand it, you can systematically grow your wealth over time. If you ignore it, it can erode your savings through inflation or bury you in debt. By understanding how it works, you can make it your greatest financial ally and take control of your financial future.

Disclaimer: This is not financial advice. I am not a financial advisor, and you should always consult with a financial advisor before making any investment decisions.

Enjoyed this note?

Check out more of my notes on data science, gaming, and technology.

Read More Notes