Interest Calculator
Simple or compound interest on any balance.
Details
Interest earned
$2,834
Compound interest over 5 years
This calculates interest on savings or a loan, using either simple or compound interest at whatever frequency applies.
It gives the interest earned or owed and the final total, and shows how the two methods diverge over time.
The kinds of interest
Interest is the price of money over time: what you earn for lending it, or pay for borrowing it. Everything else is a detail of how it is calculated.
There are really only two methods. [Simple interest](/financial/simple-interest-calculator) is charged only on the original amount, so it adds the same figure every period. [Compound interest](/financial/compound-interest-calculator) is charged on the balance including interest already added, so it accelerates.
Over ten years on $10,000 at 5%, simple interest earns $5,000 and monthly compounding earns $6,470. Same rate, same money, $1,470 apart. Over thirty years the gap becomes far larger.
The method matters more than most people assume, and the frequency matters less. Moving from simple to compound is worth far more than moving from annual to monthly.
What to enter
- Principal
- The starting amount, whether you are saving it or borrowing it.
- Interest rate
- The annual rate. Check whether a quoted figure is a plain rate, an APR or an APY.
- Method
- Simple or compound. Savings accounts and credit cards compound; most car and personal loans use simple interest.
- Compounding frequency
- Annually, monthly or daily. Higher frequency means slightly more growth, and the gains flatten out quickly.
- Time
- The input that decides how far the two methods diverge. Over a few months they are almost identical.
Which calculation applies to what
- Savings and CDs
- Compound, usually monthly or daily. Quoted as APY, which already includes the compounding.
- Credit cards
- Compound daily, which is why unpaid balances grow so quickly. Quoted as APR.
- Most car and personal loans
- Simple interest on the outstanding balance, so paying early genuinely saves money.
- Mortgages
- Interest is charged on the remaining balance each month and does not compound, but the amortisation schedule is what determines the split.
- Investments
- Compound, and the frequency depends on when returns are realised or dividends reinvested.
What this assumes
A constant rate throughout. Savings rates and variable loan rates both move.
Tax and inflation are excluded. Both reduce what interest is actually worth to you.
How to calculate interest
Work out which method applies, then use the matching formula.
- P
- Principal
- r
- Annual rate as a decimal
- t
- Time in years
- n
- Compounding periods per year (compound only)
Establish which method applies. Savings and credit cards compound. Most car and personal loans use simple interest on the balance.
Convert the rate to a decimal. Divide by 100. If compounding, divide again by the frequency.
Apply the matching formula. Simple interest is one multiplication. Compound raises a factor to the number of periods.
Compare on APY where you can. APY includes compounding, which makes it the only fair basis for comparing two savings products.
See a worked example: the same money under both methods
- Principal
- $10,000
- Rate
- 5% a year
- Time
- 10 years
Simple: $10,000 × 0.05 × 10 = $5,000 of interest.
Compounded annually: $10,000 × (1.05)¹⁰ − $10,000 = $6,289.
Compounded monthly: $6,470.
The 5% rate compounded monthly is equivalent to a 5.116% APY, which is the figure a bank would advertise.
$5,000 simple, $6,470 compounded monthly
Frequently asked questions
Savings accounts, CDs and credit cards compound. Most US car loans and many personal loans use [simple interest](/financial/simple-interest-calculator) on the outstanding balance.
If you are unsure, the account agreement will say. On a loan the practical test is whether paying early saves you money: with simple interest it does.
APR is used for borrowing and includes fees. APY is used for savings and includes compounding. Both express an effective annual rate.
A 5% rate compounded monthly is a 5.116% APY. Lenders advertise APR because it is the lower number; savings accounts advertise APY for the opposite reason.
On APY, always. It already accounts for compounding frequency, so two APYs are directly comparable and two stated rates are not.
Then check the conditions: minimum balances, introductory rates that expire, and whether the rate applies to your whole balance or only part of it.
Use the rule of 72: divide 72 by the rate. At 5% that is about 14.4 years, and the exact figure is 14.2.
It works in reverse too. Credit card debt at 22% doubles in a little over three years if you make no payments at all.
Usually one of three reasons. The rate may have been introductory and expired, the account may have tiered rates requiring a minimum balance, or interest is taxable and you are comparing after-tax to before-tax.
Inflation is the fourth. A 5% rate with 3% inflation is a real return of about 1.9%, which is the figure that reflects what your money can actually buy.
Less than the method does. On $10,000 at 5% over ten years, annual compounding gives $6,289 and monthly gives $6,470, a difference of $181.
Moving from simple to compound is worth $1,289 over the same period. Choose an account on APY and do not agonise over daily versus monthly.
No single body sets the rate you are offered. The Federal Reserve sets a target for the federal funds rate, which is what banks charge each other overnight. Its policy committee meets eight times a year to review it.
Everything else follows from that at a distance. Banks set their prime rate from it, usually about 3 points higher, and credit cards and variable loans are commonly priced as prime plus a margin. Mortgages track long-term bond yields instead, which is why they can move even when the Fed does nothing.
Your own rate is then set by the individual lender, based on your credit and the loan itself. The Fed influences the whole ladder; it does not set the rung you stand on.
A fixed rate stays the same for the whole term, so the payment is predictable from day one. A variable rate moves with an underlying benchmark, so the payment can rise or fall.
Variable rates are usually built as index plus margin. The index moves with the market — most US variable lending now references SOFR or the prime rate, after LIBOR was retired in 2023. The margin is fixed in your agreement and does not change.
Fixed costs a little more at the start and removes the risk. Variable starts cheaper and hands you the risk. The honest test is whether you could still afford the payment if the rate rose by two or three points.
Six things do most of the work. Credit score is usually the largest single factor. Whether the loan is secured matters nearly as much: a mortgage or car loan is backed by an asset, so it costs less than an unsecured credit card.
Then term length (longer often means a higher rate), loan size, your debt-to-income ratio, and the market rate at the time you borrow.
The first five are about you and are partly within your control. The sixth is not, which is why the same borrower can be quoted very different rates a year apart.
A great deal, and more than most people expect. Scores run from 300 to 850 on the common FICO scale, and lenders price in bands rather than on a smooth curve, so crossing a boundary can move your rate noticeably.
The score itself is built mostly from payment history and how much of your available credit you are using, with length of history, new applications and credit mix making up the rest. Paying on time and keeping balances well below the limit are the two things that move it most.
You are entitled to your credit reports for free from the three national bureaus. Checking them and disputing errors is the cheapest rate reduction available, because a mistake on a report costs you real money every month.
Yes. In the US, interest from savings accounts, CDs and bonds is generally taxed as ordinary income in the year it is credited, not when you withdraw it. Your bank reports it on a Form 1099-INT.
There are exceptions worth knowing: interest on most municipal bonds is exempt from federal tax, and Treasury interest is exempt from state and local tax. Interest inside a retirement account is not taxed as it accrues.
Sometimes, and far less often than people assume. Mortgage interest on a qualifying home loan is deductible if you itemise. Student loan interest has its own deduction that does not require itemising. Investment interest can be deductible against investment income.
Personal interest is not deductible at all — that covers credit cards, car loans and personal loans. Since the standard deduction was roughly doubled in 2018, most filers do not itemise and so get no benefit from the mortgage deduction either.
There is no single federal cap for most lending. Usury limits are set state by state, and they vary widely, which is why some lenders are based in states with permissive rules.
Two protections are federal. Active-duty service members and their dependents are covered by the Military Lending Act, which caps most consumer credit at a 36% military annual percentage rate. And whatever the rate, the Truth in Lending Act requires it to be disclosed as an APR before you sign.
Problems people actually run into
Comparing a stated rate against an APY
A 5.1% stated rate is not better than a 5.116% APY, because the APY already includes compounding and the stated rate does not.
Convert both to APY before comparing. Banks are required to disclose it, so it is always available.
Underestimating interest on debt
The same compounding that makes savings grow makes debt grow, and credit cards compound daily, which is the fastest common case.
A 22% card is a guaranteed 22% cost. Clearing it is a better and more certain return than almost any investment, which is why it usually comes first.
Results are estimates for general information only and are not professional financial, medical, or legal advice. Read our full disclaimer.
Sources
- Open market operations and the federal funds rate · Federal Reserve Board
- What is the prime rate, and does the Federal Reserve set it? · Federal Reserve Board
- Regulation Z, Truth in Lending · Consumer Financial Protection Bureau
- Topic no. 403, Interest received · Internal Revenue Service
Last updated: September 4, 2026