What Is Compound Interest? (2024)

“Compound interest is the eighth wonder of the world. He who understands it, earns it. He who doesn’t, pays it.”

– Albert Einstein

It can work for you and do amazing things for you. But it also has a dark side.

If you are on the right side of the fence, have little to no debt, and have some investments going on, this is literally how you make money when you sleep. Passive income. You have either made it or you are on your way.

You see, if you are working, you can only make the money you are being paid for. If you are self-employed, you can only make the money for the sale of your goods and services. Either way, there is a limit. You are working for the money, and it is not considered passive.

So, this concept, as simple as it is, can make you thousands, even millions of dollars. You just have to get on the right side of the fence and stay there.

So, let’s dive into this and figure how what compound interest is, how it works and how it can help us.

What Is Compound Interest?

Making money on the money. And then, having that money make money on the money, and so on.

But, if you are in debt, then someone is making money on your money, and I think you know the rest.

So, with compound interest, you’re not just earning interest on your original investment. Your interest becomes your money, it is reinvested and then even your interest earns interest. Compound interest is the process of adding the interest you’ve already earned back into your principal balance, which increases your returns by compounding them.

For example, if you have a $5,000 savings account at a fixed annual rate of 5%, you will earn $250.00 in year one, leaving you with a balance of $250.00. It would actually be more than this if your compounding was monthly, but we are keeping it simple and showing annual compounding for now. So, year one, you now have $5,250 in savings.

Rinse and repeat, but in year two, you make $262.50. So, you now have $5,512.50.

Over 10 years, your balance would grow to $8,144.47. If it was compounded monthly, $8,235.05, and $8,243.32 if daily.

Interest can be compounded annually, semi-annually, monthly, or daily. The more frequently interest is compounded, the more rapidly your principal balance grows.

Compound interest is considered one of the, if not the best way to build wealth. So basic but so effective.

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Simple Interest vs. Compound Interest

Only the principal is used to compute simple interest. The principal is not compounded or increased by the interest earned. You are only paid interest on the original investment.

So, for simple interest, that $5,000 account balance that earns 5% annual interest would pay you $250 a year. The interest earned is not considered part of the investment and does not earn interest.

In other words, the interest is only calculated on the initial $5,000 again the next year, not on the $5,250.

Simple interest is commonly used on debt such as car loans and personal loans. However, interest on credit card debt and lines of credit compounds, so you have to watch your minimum payments and keep that in check.

So, a perfect scenario is to have savings and investments with compound interest, while debts to be on simple interest. (No debt is much better)

How Does Compound Interest Work?

Like a good recipe, there are a few key ingredients when calculating compound interest. Any change to any one of them, can and will affect the end result.

Interest: This is the interest rate you earn or are charged. The higher the interest rate, the more money you earn or the more money you owe. Usually quoted as an annual figure.

Original Investment or Debt Amount: How much was your original investment or how much money did you originally borrow? Compounding is all based on the initial amount you invest or borrow.

Compounding Frequency: How often interest is compounded—daily, monthly, semi-annually, or annually. This factors into how fast the balance grows.

Term: How long do you plan to be in the investment or how long to pay off a loan? The longer you have your funds invested or the longer you it takes you to pay off a debt, the longer it has to compound and the more you’ll earn or owe.

Investment and withdrawals: If you make additional investment during the term, it will affect your amount. How often will you make loan payments and if you make any pre-payments will affect your amount. If you increase your principal balance or pay down your loan during the term, it will have a significant impact.

Investing on Steroids

The power of compound interest cannot be under estimated. If you are on the investment side of things, it is truly a beautiful thing.

Look at this sample

You start with a $50,000 investment

You contribute $500 per month to it

It is at 5 percent

The term is 25 years

Total invested over 25 years is $199,500

Total simple interest earnings – $155,938

Total compound earnings – $115,882

Value of investment – $471,319

What If I Am Not An Investor (yet) But Paying Interest On My Debt?

Well, hopefully the debt you carry is not compounded and if it is, its manageable. Otherwise, it will increase what you owe, whether you are making payments or not.

So, always make a payment enough to at least cover interest and then some and you should be fine. If not, the interest is added to the balance, and you stay in debt longer.

This is where the second part of Einstein’s quote come s in “He who understands it, earns it. He who doesn’t, pays it.”

So, you need to move from paying interest to investing as quickly as possible.

How Can Compound Interest Work For You?

Worst thing you can do is start later thinking you are young and have time. Even if it’s a small amount, start.

With compound interest, time is everything. Every extra month is extra compounding. Every extra dollar you invest each month, is extra compounding. The sooner you start saving or investing, the longer amount of time you give your investment to grow. This is why it’s important to start investing for retirement as sooner rather than later. The earlier you start; the more money you will have earned from interest and the more money you will have earned from compounding. Or rather, much less of your own money that you would have to save. Most of your retirement money can grow with compounding and interest.

Be very mean towards your debt and pay it down as aggressively as possible. Get on the right side of the fence when it comes to compound interest. Even if you have investments, if you also have debt, its counterproductive. Yes, I do believe some debt can work with and for you, but initially, keep it simple.

What Is the Formula for Compound Interest?

Not going to go there. I don’t know anyone that would use the formula in this day an age regardless. I could spell out the Excel formula instead, but even that would not be of value.

Instead, follow the link to a compound interest calculator and input some proforma investment figures. See for yourself how the magic of compounding can work for you.

Last But Not Least – Our Friendly Advice

Compound interest and compounding is investment on steroids. It can really accelerate the value of your investments. If done right, you will see three parts to your investments, your money, your interest money earned, and money earned through compounding. This means, compounding lets you use less of your own money to reach your investment goals.

But remember, we also reviewed how compounding may not be your friend. For example, with high-interest credit card debt.

On the other hand, debt can be your motivating factor to kick start your investment future. Attack the debt and get on a monthly savings and investment program. You will be glad you did.

What Is Compound Interest? (2024)

FAQs

What Is Compound Interest? ›

Compound interest is interest calculated on an amount of principal (e.g., a deposit or loan) including all accumulated interest from prior compounding periods. Put more simply, it is interest on top of the interest previously added to the principal. Compound interest causes principal to grow exponentially over time.

What is compound interest answer? ›

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

What is compound interest responses? ›

Compound Interest Formula

Compound Interest = total amount of principal and interest in future (or future value) less the principal amount at present, called present value (PV). PV is the current worth of a future sum of money or stream of cash flows given a specified rate of return.

What is compound interest in simple words? ›

Compound interest is interest calculated on both the initial principal and all of the previously accumulated interest. Generating "interest on interest" is known as the power of compound interest. Interest can be compounded on a variety of frequencies, such as daily, monthly, quarterly, or annually.

Which answer best describes compound interest? ›

In simple terms, compound interest can be defined as interest you earn on interest. With a savings account that earns compound interest, you earn interest on the principal (the initial amount deposited) plus on the interest that accumulates over time.

How to solve compound interest questions? ›

Compound Interest Formula
  1. The formula for compound interest is A=P(1+rn)nt, where A represents the final balance after the interest has been calculated for the time, t, in years, on a principal amount, P, at an annual interest rate, r. ...
  2. To find the balance after two years, A, we need to use the formula, A=P(1+rn)nt.
Feb 16, 2024

How to solve compound interest? ›

How to Compute Compound Interest? The compound interest is found using the formula: CI = P( 1 + r/n)nt - P. In this formula, P( 1 + r/n)nt represents the compounded amount. the initial investment P should be subtracted from the compounded amount to get the compound interest.

How to explain compound interest to a child? ›

Put simply, compound interest is when you earn interest on both the money you've saved and the interest you've already earned.

How to compound your money? ›

For compounding to work, you need to reinvest your returns back into your account. For example, you invest $1,000 and earn a 6% rate of return. In the first year, you would make $60, bringing your total investment to $1,060, if you reinvest your return.

What is compound interest and example? ›

For instance, if $1,000 is deposited with 5% simple interest, it would earn $50 each year. Compound interest, however, pays “interest on interest,” so in the first year, you would receive $50, but in the second year, you would receive $52.5 ($1,050 × 0.05), and so on.

Why is compound interest? ›

Compound interest is when the interest you earn on a balance in a savings or investing account is reinvested, earning you more interest. As a wise man once said, “Money makes money. And the money that money makes, makes money.” Compound interest accelerates the growth of your savings and investments over time.

What does compound mean? ›

A compound is a chemical substance that combines two or more elements. grammar. A compound is a word consisting of two or more words: "Black eye" and "teaspoon" are compounds.

Which of the following best explains compound interest? ›

Answer and Explanation:

Compound interest is the interest earned on the already earned interest amount whereas simple interest is the interest earned on the principal amount. Due to the compounding effect, the initial principal investment grows at a faster rate as compared to the growth achieved by simple interest.

What is the compound interest formula with an example? ›

To calculate monthly compound interest, use the formula A = P(1 r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

What is an example of a compounded daily? ›

For example, if you invest $100 and earn 1% annually compounding daily, you'd earn . 00274% daily (1% ÷ 365) in interest. On day one, you'd have $100.0000274, and on the next day, you'd earn another . 00274%, and by the end of one year (365 days), you'd have $101.01.

What is compound interest quizlet? ›

Compound interest. The interest which is added on to the initial investment, so that this will itself gain interest in subsequent time periods.

What will be the compound interest on $25,000 after 3 years at 12 per annum? ›

Rate of interest = 12% p.a. ∴ The compound interest is Rs. 10123.20.

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