Finance 101: Money and the Magic of Compounding (2024)

When I was 9 years old, the author/illustrator, Steven Kellogg visited my elementary school. My mom got me an autographed copy of a book he illustrated, If You Made a Million. I can’t tell you now if she bought it because I was already interested in math, or if the book is what peaked it, but I can tell you it cemented my fascination with numbers and finance, ultimately leading to my choice of college major and career. Having engrossed myself in the world of financial models, interest rates, returns, valuation, leveraged buy outs, and discounted cash flows for nearly a decade, and being married to someone in the same field, I often forget that basic financial concepts that are permanently burned into my brain are not so basic to the average person. Over the coming weeks, I will introduce various financial vehicles that every family should take advantage of – but before you can understand the benefits of those vehicles, you have to understand some basic finance, like Money and the Magic of Compounding.

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If You Made a Million is the perfect book to both introduce preschoolers and kindergarteners to the very basic concepts of money (you work to earn money, a nickel is five pennies, a dime is two nickels or 10 pennies, etc.), and as you read further, a great book to introduce more complex financial concepts, like interest, compounding, checks and mortgages, to older teens. It sill baffles me that basic financial concepts like, how to balance a checking account, and how credit cards and mortgages work are not part of most high school curriculum.

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Interest Rates and Rates of ReturnFinance 101: Money and the Magic of Compounding (3)

As the book describes, instead of saving your money in a piggy bank, where a year from now the dollar you put in will still only be $1, you can choose to put in a bank. Savings accounts provide the bank with assets, which the bank uses to make loans, like mortgages, to other bank customers. For use of your money, the bank pays you interest on your savings account. While the book talks about 5% annual interest rates, so your dollar today, would be worth $1.05 a year from now, interest rates today are at historic lows.

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CDs, a type of savings vehicle where you agree to leave your money in place for a fixed period of time, did earn rates of 5% and even more up until the current century. Today, most savings accounts earn a fraction of a percent. The annual percentage yield (APY), a common way interest rates are quoted, on my current Money Market Savings account is 0.02%. Yikes – that’s barely better than leaving it in the piggy bank!

To earn better interest, you have to be willing to take more risk. Rates of return, be they interest rates on savings accounts or other fixed income instruments, like CDs or bonds, or investment returns on riskier assets like stocks, are supposed to be commensurate with the risk of loss associated with the investment. On a savings account, the chances of you losing all your money is essentially zero – even if the bank goes out of business, most bank deposits are now federally insured so your money is protected. Similarly, the interest you earn on a savings account is very low.

Magic of Compounding

Even at low rates of return, compounding still grows your savings over time. If there is a $1,000 in my Money Market Savings account today, a year from now, with an APY of 0.02%, I will have $1,002 in my account. After 10 years, at the same interest rate, $1,020. That doesn’t seem very magical…

Let’s take a little more risk. Instead of sticking money in a savings account earning pennies a year, let’s invest in the stock market. As a proxy, we will use the total return for the S&P 500, a basket of the 500 largest stocks on the major US stock market exchanges, the NYSE and NASDAQ. Back in the summer of 1996, I had my first summer job – I nannied for two little girls to raise money to pay for cheerleading my freshman year of high school. I spent the hard-earned money on cheerleading camp, uniforms and monogrammed accessories. And my parents taught me a great life-lesson about the value of a dollar, making sacrifices, and working for what you want in life. But what if I had saved $1,000 that summer and invested it in the S&P 500 instead of spending it all on polyester uniforms, hair bows, monogrammed bloomers and duffle bags… what would it be worth today?

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Over the last 18.5 years, the S&P 500 had a total compound annual return, often referred to as a compound annual growth rate (CAGR) of 8.3%. That means, if you look at the start and end points, ignoring all the ups and downs in between, my money compounded at 8.3% annually. The $1,000 I saved and invested at the end of the Summer of 1996, would be worth $4,426 or 4.4x my original investment. It was not without risk. There were periods of time over which I would have lost money when the stock market experienced steep declines (DotCom bubble burst in the early 2000s and the Housing Bubble Burst Great Recession of the last decade). However, ultimately, over time, I would have earned a substantial return. And it sure beats $20 every decade! Note: as any financial disclaimer will tell you, past returns are not a promise, nor indicative, of future returns.

Debt Compounds Too

It is important to note, that debt on which you pay interest has a similar compounding effect – only the benefit is to your creditor and the detriment is to you. The interest you pay on a credit card is far more expensive than most returns you will find in the stock market too. According to CreditCards.com, the national average annual interest rate (APR) on credit cards is nearly 15%, nearly 2x the annualized stock market return of the last two decades. That means, a $1,000 credit card balance, will cost you $150 in annual interest charges. And don’t miss a payment or violate any of the terms, or that rate can dramatically skyrocket to well over 20% or more.

The same is true of mortgages, although because they are supported by a valuable asset, your home, the interest rate is much lower, and currently, persist at historically low levels. As of yesterday, according to Bloomberg, the average 30-year mortgage rate was 3.69%. However, over 30 years – that adds up to a lot. In our town, the median home price is $260,000. If you buy a home at that price, with a 30-year mortgage at 3.69%, you will make 360 monthly payments of $1,195.27. After 30 years, you will have paid off your mortgage, with payments totaling over $430,000 for your $260,000 home purchase.

Monthly Payment Math

Don’t be fooled by this gimmick often used by car dealers… they will headline an advertisem*nt or a commercial with a car sold for a “monthly payment of just $299.” What the fine print and speedy voice over doesn’t tell you is that requires a) a perfect credit score, b) a 6-10 year car loan, c) a HUGE down payment, d)a sizable interest rate, or e) all or some combination of the above.

I will never forget how many places my husband dragged me when he was shopping for his current car. The worst, by far, was to go to a dealership in the Bronx because they advertized a crazy deal on a Tahoe LTZ. If a deal seems to good to be true, it probably is… After we arrived, they took us in their car to a garage that seemed miles away, and showed us countless cars, none of which were the advertized, fully-loaded model or for the price indicated. When we didn’t seem fooled, they sat us down in the office with their “Finance Manager,” who hacked away at a black screen with green text, and repeatedly asked us “How much do you want to pay per month?” At one point, he offered us a $350 monthly payment, and when he showed us the screen it was for a 10 year car loan at over 9% interest. It was at that point that we finally got up and left.

Before you make any purchase with financing involved, you should understand 4 things: the purchase price, the financing cost, the term of the financing (how many months, years), and the required monthly payment. If you have any 3 of those items, you can determine the fourth. Without getting into complicated finance formulas, excel will calculate these for you using the PMT, NPER, RATE, and NPV formulas. Be sure to match the inputted interest rate with the period. For example, most interest rates are quoted on an annual basis (10% APR), but payments are made monthly, so your interest rate input would be 10%/12 and your periods would be the number of years x 12.

Other Factors

There are other factors at play here in the real world – namely taxes. The government collects taxes on all income, including income from investment returns and interest on savings accounts. The good news for investment returns: 1) taxes are only payable on realized returns, meaning as long as you don’t sell an investment, and your money remains invested, your taxes are deferred until you actually cash out, and 2) there are many college savings and retirement vehicles that provide tax advantages and deferrals as well. I will explain several of those in more detail over the coming Fridays. Conversely, interest payments on mortgages are also tax deductible (for now).

Finance 101: Money and the Magic of Compounding (6)

Are you amazed by the magic and magnitude of the impact of compounding? Do you have more questions about this basic financial building block? What other financial topics would you like to see me address? For more Financially Savvy posts, be sure to follow our Pinterest board!

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Finance 101: Money and the Magic of Compounding (2024)

FAQs

How can you use the rule of 72 to make financial planning decisions? ›

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double.

What financial calculation should the rule of 72 be used for? ›

Do you know the Rule of 72? It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

What is the magic of compound interest? ›

When you invest, your account earns compound interest. This means, not only will you earn money on the principal amount in your account, but you will also earn interest on the accrued interest you've already earned.

What is a system where the public can buy or sell stock? ›

A stock exchange is a market where stock buyers connect with stock sellers. Shares are traded daily on exchanges such as the New York Stock Exchange (NYSE) and the Nasdaq. Stocks may be traded through a broker following financial regulations to deal with exchanges and the companies that trade.

What is the 80 20 rule in financial planning? ›

YOUR BUDGET

The 80/20 budget is a simpler version of it. Using the 80/20 budgeting method, 80% of your income goes toward monthly expenses and spending, while the other 20% goes toward savings and investments.

What is the 50-30-20 rule? ›

The 50/30/20 budget rule states that you should spend up to 50% of your after-tax income on needs and obligations that you must have or must do. The remaining half should be split between savings and debt repayment (20%) and everything else that you might want (30%).

What is the 8-4-3 rule of compounding? ›

Now, as per the 8-4-3 Rule: Year 1-8: With a compounded return of 12% on average, your investment might reach approximately Rs 8.36 lakh by the end of year 8. It considers both your monthly contributions and the returns generated. Years 9-12: The power of compounding kicks in.

How to double $2000 dollars in 24 hours? ›

The Best Ways To Double Money In 24 Hours
  1. Flip Stuff For Profit. ...
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  5. Invest In Dividend Stocks & ETFs. ...
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  8. Invest In Your 401(k)
May 1, 2024

How can I double $5000 dollars? ›

To turn $5,000 into more money, explore various investment avenues like the stock market, real estate or a high-yield savings account for lower-risk growth. Investing in a small business or startup could also provide significant returns if the business is successful.

What is the secret formula for compound interest? ›

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial principal or amount of the loan is then subtracted from the resulting value. Katie Kerpel {Copyright} Investopedia, 2019.

What is the secret of 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 stock is a strong buy right now? ›

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Company (ticker)Analysts' consensus recommendation scoreAnalysts' consensus recommendation
Emerson Electric (EMR)1.39Strong Buy
Delta Air Lines (DAL)1.40Strong Buy
ServiceNow (NOW)1.41Strong Buy
GE Aerospace (GE)1.41Strong Buy
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What are the best stocks for beginners? ›

Compare the best stocks for beginners
Company (Ticker)SectorMarket Cap
Broadcom (AVGO)Technology$603.89B
JPMorgan Chase (JPM)Financials$547.08B
UnitedHealth (UNH)Health care$453.09B
Comcast (CMCSA)Communication services$151.02B
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Is Costco a good stock to buy? ›

Costco has 1.27% upside potential, based on the analysts' average price target. Is COST a Buy, Sell or Hold? Costco has a conensus rating of Moderate Buy which is based on 16 buy ratings, 6 hold ratings and 0 sell ratings.

How can the Rule of 72 be a valuable tool for individual investors and financial planners in estimating the growth potential of investments? ›

Assuming a set rate of interest on the account, the rule of 72 will provide an estimate of how long it would take to double their money in the account. For example, if a savings account has an annual rate of 5%, 72 divided by 5 is 14.4, so the investment would be expected to double in value in 14.4 years.

Why does the Rule of 72 work? ›

The value 72 is a convenient choice of numerator, since it has many small divisors: 1, 2, 3, 4, 6, 8, 9, and 12. It provides a good approximation for annual compounding, and for compounding at typical rates (from 6% to 10%); the approximations are less accurate at higher interest rates.

How do you make the right financial decisions? ›

What are the four tips to making smart financial decisions?
  1. Tip 1: Understanding needs vs. wants.
  2. Tip 2: Creating a spending plan.
  3. Tip 3: Maximizing savings opportunities.
  4. Tip 4: Putting the plan into action and sticking with it.

When considering saving and investing Why would you use the Rule of 72? ›

The rule of 72 can help you forecast how long it will take for your investments to double. Divide 72 by the annual fixed interest rate to determine the rate at which the money would double. Historical returns on your investment type can help choose a realistic expected return rate, in some cases.

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