Simple Interest Formula and Worked Examples
Learn simple interest for loans and deposits with principal, yearly rate, time and straightforward examples.
Simple Interest Formula and Worked Examples
Learn simple interest for loans and deposits with principal, yearly rate, time and straightforward examples. Use the free RapidCalc calculator to check your own numbers and explore different inputs.
What simple interest means
Simple interest applies the stated rate to the original principal, rather than adding previous interest to the interest-bearing amount. It is useful for illustrating uncomplicated deposits and loans.
Formula and units
Interest = principal × annual percentage rate × years ÷ 100. Rate must be expressed as a percentage per year; for months, divide the number of months by 12.
Worked example
For $10,000 principal at 5% simple annual interest over three years: $10,000 × 5 × 3 ÷ 100 = $1,500 interest. Total principal plus interest is $11,500.
Comparing two durations
At the same $10,000 principal and 5% annual rate, one year earns $500 while two years earn $1,000. The increase is linear because interest does not compound.
Cautions with real loans
A lender may use daily accrual, amortization, fees, or a different day-count convention. Check the contract rather than assuming a stated APR is always simple interest.
Try your own example
Open the interactive calculator and change one number at a time to see the effect. Read the assumptions attached to the result before applying it to a real transaction.
Related tools
- Open the Simple Interest Formula and Worked Examples calculator
- Percentage Calculator
- Discount Calculator
Educational information only; product rules, tax rates and financial terms vary.