Compound Interest Calculator
A compound interest calculator shows how money grows when interest earns interest. $10,000 at 5% compounded monthly becomes…
A loan calculator shows the fixed monthly payment on an amortizing loan and how much interest you pay in total. Borrowing $10,000 at 8% for 5 years costs $202.76 a month and $2,165.84 in interest. Add any upfront fee to see the loan’s true APR.
Most personal loans, car loans and student loans are amortizing: you pay the same amount every month, and each payment covers that month’s interest plus a slice of the balance. The calculator gives you three numbers that matter when you compare offers:
On a $10,000 loan at 8% over 5 years, the first payment of $202.76 splits into $66.67 of interest and $136.10 of principal. By the final year almost all of each payment goes to principal.
The fixed payment comes from the standard amortization formula:
Payment = P × r ÷ (1 − (1 + r)−n)
For $10,000 at 8% over 60 months, r = 0.006667 and the payment is $202.76. Multiply by 60 and subtract the $10,000 borrowed to get the $2,165.84 of interest.
A longer term lowers the monthly payment but you pay interest for longer. Here is the same $10,000 at 8%:
| Term | Monthly payment | Total interest |
|---|---|---|
| 3 years | $313.36 | $1,281.09 |
| 4 years | $244.13 | $1,718 |
| 5 years | $202.76 | $2,165.84 |
| 6 years | $175.33 | $2,624 |
| 7 years | $155.86 | $3,092.42 |
Stretching from 3 to 7 years cuts the payment by half but more than doubles the interest. Choose the shortest term whose payment you can comfortably afford, and keep a buffer for months when money is tight.
Rates on unsecured loans vary much more than mortgage rates because they depend on your credit history. On a $5,000 loan over 2 years:
| Rate | Monthly payment | Total interest |
|---|---|---|
| 12% | $235.37 | $648.82 |
| 18% | $249.62 | $990.89 |
| 24% | $264.36 | $1,344.53 |
Doubling the rate from 12% to 24% roughly doubles the interest, yet the monthly payment only rises by about $29. That is why comparing loans on monthly payment alone can hide a much more expensive deal.
The interest rate is what the lender charges on the balance. The annual percentage rate (APR) also counts fees, so it shows the true yearly cost. US lenders must disclose APR under the Truth in Lending Act, and UK lenders must show a representative APR under FCA rules.
Fees matter because you pay interest on money you never receive. Borrow $20,000 at 7% for 5 years with a $600 fee taken from the loan and you receive $19,400 but repay $396.02 a month on the full $20,000. That makes the APR 8.29%, not 7%. The tool finds that APR by solving for the rate at which your payments exactly repay the money you actually received.
Remember that a representative APR in the UK only has to be offered to 51% of successful applicants. Your personal rate may be higher, so always re-run the numbers with the rate you are actually offered.
At 6.5% over 4 years, a $15,000 loan costs $355.72 a month and $2,074.77 in total interest. Over 5 years at 9.5%, a $25,000 loan costs $525.05 a month.
Yes, for any fixed-rate loan repaid in equal monthly instalments. It does not model balloon payments, deferred payments or income-driven repayment plans.
Lenders may round each payment, charge interest daily rather than monthly, or start the first payment more or less than a month after the loan is paid out. The difference is usually a few cents to a few dollars.
It depends on your credit score and the market. Compare offers from several lenders using the APR and total cost of credit shown here, rather than relying on a rule of thumb.
A shorter term always costs less interest, but a higher payment you struggle to meet is worse than paying a little more interest. Pick the shortest term that leaves room in your monthly budget.
Payments use the standard amortization formula with monthly compounding. The schedule is computed month by month, with the final payment adjusted to clear the balance exactly. APR including fees is found numerically (bisection) as the monthly rate at which the payments repay the amount actually received, multiplied by 12. All example figures on this page were produced by this calculator.
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