### Why Compound Interest Is Key

*Key Points – Why Compound Interest Is Key*

- The Value Compound Interest Can Have on a Retirement Plan
- Examples of Compound Interest When You Start Saving at Different Ages
- Why Compound Interest Is Such a Crucial Tool in Financial Planning
- 4 Minutes to Read | 8 Minutes to Watch

## What Is Compound Interest?

Compound interest is key to retirement planning. Modern Wealth Management Lead Advisor ** Chris Rett**, CFP® will help us understand compound interest, the difference between compounding interest and simple interest, the value of compounding interest for retirement, the

**, and how to use compound interest for your retirement.**

__Rule of 72__### Compound Interest: The Eighth Wonder of the World

So, what is compound interest? Albert Einstein defined compound interest is ** the eighth wonder of the world**. He or she who understands it, earns it. He or she who doesn’t, pays it. And here is

**Investopedia definition**.

= [p (1 + i)n] – p

= p [(1 + i)n – 1]

p: principal

i: annual interest rate

n: number of compounding periods

If you’re confused, you’re not alone. Let’s simplify it. Ben Franklin describes compounding interest as, “** Money makes money. And the money that money, makes money.**” In other words, interest on top of interest.

## Compounding Interest vs. Simple Interest

To better illustrate this, it is easy to see compounding interest versus simple interest. Think of simple interest as a straight line like you see below in ** Figure 1**.

__FIGURE 1 – Compounding Interest vs. Simple Interest – Fidelity__

Simple interest is like a ** CD**. You invest in a CD and it pays you a certain percentage every year on time until the CD matures. That interest on that CD doesn’t earn you any additional interest. It’s just a flat, simple interest.

Compounding interest is interest that is earned on top of the interest that you earned. As you can see above in ** Figure 1**, it’s that ever accelerating exponential growth rate that you see. To conceptualize the value of compounding interest for a retirement, there’s an old fable that Chris likes to reference.

### Using a Fable to Understand Compound Interest

In the fable, somebody is proposed $1 million today or a penny today that doubles every day for a month. Which would you choose? If you had elected the penny, you would have a penny on the first day. On the second day, you would have two pennies and so on and so forth until the month is up. By Day 10, you would have $5.12. That’s a far cry from the $1 million that you were proposed on the first day. By Day 15, you’re still only at $163.84.

It isn’t until Day 28 that you exceed that initial $1 million offer, when you’d be at $1,342,177. If you had taken the ladder of the two options and selected a penny on Day 1 that doubles every day, by day 30, you would have $5,368,709.

“All the difference that you see with that penny is compounded growth. That original penny doubled every day for 30 days straight to the tune of $5,368,709. You nearly outpaced the $1 million investment initially that you would have been offered by about five times. That’s the value of compounding interest.” – Chris Rett

## How Does Compound Interest Work?

So, how does compound interest work? How can we estimate compound interest as it pertains to our retirement? To do that, the popular rule that we like to use in the investment rule is the Rule of 72.

### The Rule of 72

With the Rule of 72, you take 72 divided by the average interest rate. That’s how long it takes your investment to double.

For example, the S&P 500, which is commonly referred to as the stock market, is a great barometer for the stock market. Since its inception in 1928, the S&P 500 has an average rate of return of 9.82%. If you take this and want to invest your money in 100% of the S&P 500. That would not be advisable for somebody nearing retirement.

But let’s say you’re 20, 25, 30 and want to follow the ** Warren Buffett method and invest 100% in the S&P 500**. When you apply the Rule of 72, your money would double theoretically every seven years and four months. For a 30-year-old who is starting to invest and is looking to retire around 65, that’s almost five times your money would double.

“If you have a $10,000 investment, that becomes $20,000 every seven years and four months. That is the power of compounding interest. You only put in a certain amount, but now your interest is starting to make interest on your original investment.” – Chris Rett

## The Power of Starting Early

Fidelity showed the value of compounding interest and starting early in a study by comparing a 25-year-old and a 30-year-old.