Simple Interest vs. Compound Interest: What to Know - SmartAsset (2024)

Simple Interest vs. Compound Interest: What to Know - SmartAsset (1)

Anyone who takes out a loan has to think about the cost of doing so. If you need to borrow money to finance a home purchase or a renovation, you’ll want your interest rate to be as low as possible. From an investors’ standpoint, however, higher interest rates present the opportunity to earn higher rates of return. Interest can be simple or it can compound over time. Don’t understand the difference between simple and compound interest? We’ll define both concepts andgive plenty of examples.

Do you have questions about how to optimize your finances? Speak to a financial advisor today.

What Is Simple Interest?

The term interest indicates how much you can earn from the money you originally invest. As your investment sits in an account over time, interest accumulates and you can watch your funds grow.

To calculate the amount of simple interest you stand to earn as an investor, you can use the following formula: Principal Balance x Interest Rate. You can then multiply the product by the number of years you’re investing your money to find out what your return rate would look likeover time.

For example, if you decide to invest $2,000 in a money market account with a simple interest rate of 8.5%, you’ll earn $170 in interest after one year ($2,000 x 0.085). After five years, you’ll earn $850 (170 x 5) in interest.

What Is Compound Interest?

Simple Interest vs. Compound Interest: What to Know - SmartAsset (2)

Compound interest represents the amount you earn from your initial investment in addition to the interest you earn – on top of the interest that has already accrued. You can calculate compound interest using the formula, A=P(1+r/n)nt. A is the amount you have after compounding. The value P is the principal balance. The value ris the interest rate (expressed as a decimal),n is the number of times that interest compounds per year and t is the number of years.

Interest can compoundeither frequently (daily or monthly) or infrequently (quarterly, once a year or biannually). The more often your interest compounds, the more interest you’ll earn on your investment.

It’s easy to see that money grows more quickly when it’s earning compound interest than when it’s earning simple interest. To return to the example above, if you invest $2,000 at an interest rate of 8.5% compounding twice a year for 5 years, your end balance will be $3,032.43. You will have earned $1,032.43 in interest, compared to $850 in the simple interest example.

But if that same investment compounds monthly (12 times a year) instead of twice a year, you’ll end up with a balance of $3,054.60. As you can see, the frequency of compounding makes adifference in terms of your overall return rate. If you want to take advantage of compound interest, it’s a good idea to find out how often your interest will compound before you invest your money.

Simple Interest vs. Compound Interest: What’s the Difference?

Compared to compound interest, simple interest is easier to calculate and easier to understand. If you have a temporary loan or one with interest that doesn’t compound, you’ll only have to worry about interest added onto the outstanding principal balance.With mortgages and most car loans, for example, simple interest accrues but does not compound.

When it comes to investing, compound interest is better since it allows funds to grow at a faster rate than they would in an account with a simple interest rate. Compound interest comes into play when you’re calculating the annual percentage yield. That’s the annual rate of return or the annual cost of borrowing money.

If borrowerscan pay off their interest in a shorter period of time, they can then begin paying off their principal loan balance. They’ll be able to pay off their debt more quickly if they’re paying more interest up front.

At the same, if a borrower has a loan that compounds often at a high interest rate, they’ll have higher monthly payments that might not be affordable. In that situation, a borrower might need to consider refinancing the loan to try to get a lower interest rate. For instance, if you’re in the process of paying off your private student loans, you can reach out to a lender to see if you can qualify for a reduced rate.

Bottom Line

Simple Interest vs. Compound Interest: What to Know - SmartAsset (3)

Understanding the difference between simple and compound interest is crucial when you’re trying to pick the the right loan or find the best place to store your savings. If you’re a borrower who doesn’t want to get stuck with expensive debt that takes years to eliminate, you’ll probably want a loan with interest that doesn’t compound. But if you’re an investor looking to earn lots of money that you can use in retirement, it’s best to search for an account with interest that compoundsfrequently.

Financial Planning Tips

  • A financial advisor can help you put together a financial plan to secure your future.SmartAsset’s free tool matches you with up to three financial advisors who serve your area, and you can interview your advisor matches at no cost to decide which one is right for you. If you’re ready to find an advisor who can help you achieve your financial goals, get started now.
  • You can also try building your own financial plan. To start, check out SmartAsset’s guide to building a family financial plan.

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Simple Interest vs. Compound Interest: What to Know - SmartAsset (2024)

FAQs

Simple Interest vs. Compound Interest: What to Know - SmartAsset? ›

With compounding interest, you'll earn more interest in less time. That's not the case with simple interest, which doesn't measure the interest you'll earn on top of the interest you've already earned in the past.

How can you tell the difference between simple and compound interest? ›

Interest can be calculated in two ways: simple interest or compound interest.
  • Simple interest is calculated on the principal, or original, amount of a loan.
  • Compound interest is calculated on the principal amount and the accumulated interest of previous periods, and thus can be regarded as “interest on interest.”

Do you earn more money with simple interest or compound interest? ›

The more often your interest compounds, the more interest you'll earn on your investment. It's easy to see that money grows more quickly when it's earning compound interest than when it's earning simple interest.

Is it better to compound interest daily or monthly? ›

The Bottom Line. Earning interest compounded daily versus monthly can give you more bang for your savings buck, so to speak. Though the difference between daily and monthly compounding may be negligible, choosing daily compounding can still put a little more money in your pocket.

How to know when to use simple or compound interest? ›

Which Is Better, Simple or Compound Interest? It depends on whether you're saving or borrowing. Compound interest is better for you if you're saving money in a bank account or being repaid for a loan. If you're borrowing money, you'll pay less over time with simple interest.

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.

How to find principal when difference between compound interest and simple interest is given? ›

Detailed Solution
  1. Given: Compound interest - Simple interest = Rs.3.20. Rate of interest = 8% ...
  2. Formula Used: The difference of interest = Principal × (Rate of interest)2/(100)2
  3. Calculation: The difference of interest = Principal × (Rate of interest)2/(100)2. ⇒ 3.20 = Principal × (8)2/(100)2. ...
  4. ∴ The principal is Rs. 500.
Aug 31, 2023

What are the disadvantages of compound interest? ›

Your interest is calculated not only on the balance owed but also on the interest that has already accrued. This can result in a snowball effect, where your debt grows more quickly, making it harder to pay off.

What is the miracle of compound interest? ›

Compounding is the process whereby interest is credited to an existing principal amount as well as to interest already paid. Compounding thus can be construed as interest on interest—the effect of which is to magnify returns to interest over time, the so-called “miracle of compounding.”

What are the disadvantages of simple interest? ›

Simple interest has the disadvantage that if the interest rate is high, the borrower will pay more. Furthermore, if the repayment period (years) is greater, the borrower will pay more.

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compound? ›

Basic compound interest

For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.

What is compound interest for dummies? ›

Compound interest is when you earn interest on the money you've saved and on the interest you earn along the way. Here's an example to help explain compound interest. Increasing the compounding frequency, finding a higher interest rate, and adding to your principal amount are ways to help your savings grow even faster.

What is a real life example of compound interest? ›

Let's say you have $1,000 in a savings account that earns 5% in annual interest. In year one, you'd earn $50, giving you a new balance of $1,050. In year two, you would earn 5% on the larger balance of $1,050, which is $52.50—giving you a new balance of $1,102.50 at the end of year two.

Do investors prefer compound interest or simple interest? ›

Compound interest helps you to earn more money when you're saving money in an interest-bearing account. Some common types of accounts that pay compound interest include savings accounts, money market accounts, and certificates of deposit (CDs). Investors can especially benefit from the power of compounding.

Do banks use simple or compound interest on loans? ›

Hence, Banks use both simple interest and compound interest.

Do mortgages use simple or compound interest? ›

Most mortgages are also simple interest loans, although they can certainly feel like compound interest. In fact, all mortgages are simple interest except those that allow negative amortization. An important thing to pay attention to is how the interest accrues on the mortgage: either daily or monthly.

How to find the difference between CI and SI? ›

Detailed Solution
  1. Given: Principal is 15000. Rate is 10% ...
  2. Formula used: S.I. = (P × r × t)/100. C.I. = P{1 + (r/100)}t - P. ...
  3. Calculation: S.I. = (15000 × 10 × 3)/100. ⇒ S.I. = 150 × 10 × 3. ...
  4. Alternate Method. Difference between C.I. and S.I. for 3 years = P × r2(300 + r)/1003 ...
  5. ∴ Difference between C.I. and S.I. is 465.

What is an example of simple and compound interest? ›

With simple interest, you would add 5% of $100 - $5 - each year for 10 years, for a total of $50 worth of interest. You would end up owing $150 after 10 years. If you were paying 5% interest compounded annually, though, you would take 5% of the amount each year - including any interest that has already accumulated.

How can you compare simple and compound interest quizlet? ›

What is the difference between how simple and compound interest are paid? Simple interest is paid on the principal only, compound interest is paid on both principal and interest.

What is the difference between compound and simple interest kids? ›

If you put $100 in an account with 5% simple interest paid annually, at the end of one year you will have $105. After two years, you'll have $110 and so on. Simple as that. Compound interest pays interest on the amount of money you deposited and any other accumulated interest.

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