Simple Interest Calculator
Calculate simple interest on a principal.
About Simple Interest Calculator
Simple interest is calculated only on the principal, not on accumulated interest. I = Prt.
$$I = P \times r \times t$$
How to use this calculator
- Enter the principal amount, which is the starting money.
- Enter the annual interest rate as a decimal or percent, depending on the calculator input.
- Enter the time period in years, or convert months and days to years first.
- Read the interest amount, then add it to the principal if you want the total balance.
The formula explained
The formula \(I = P \times r \times t\) computes simple interest, where \(I\) is the interest earned or owed, \(P\) is the principal, \(r\) is the annual rate, and \(t\) is the time in years.
- I = simple interest
- P = principal, the original amount of money
- r = annual interest rate written as a decimal
- t = time in years
Step by step method
- Write down the principal, rate, and time in years.
- Multiply the principal by the rate.
- Multiply that result by the time to get the simple interest.
Worked example
Problem. A loan of $2,000 has a simple interest rate of 6% per year for 3 years. How much interest is owed?
- Convert the rate to a decimal, so \(r = 0.06\).
- Use \(I = P \times r \times t\): \(I = 2000 \times 0.06 \times 3\).
- Calculate \(I = 360\).
Answer. The simple interest is $360.
Tips and common mistakes
- Make sure the time is in years. For example, 6 months is \(0.5\) years.
- Do not confuse simple interest with compound interest, because simple interest does not earn interest on previous interest.
Frequently asked questions
How do I use a simple interest calculator?+
Enter the principal amount, annual interest rate, and time period, then the calculator applies I = P × r × t. The result is the simple interest, and you can usually also see the total amount by adding the interest to the principal.
What does the formula I = P × r × t mean?+
I is the interest earned or owed, P is the principal, r is the annual interest rate written as a decimal, and t is the time in years. For example, 5% becomes 0.05, and 6 months becomes 0.5 years.
Does simple interest use compound interest or monthly compounding?+
No, simple interest does not compound. It is calculated only on the original principal, so the interest stays linear over time instead of earning interest on previous interest.
How do I interpret the result from a simple interest example?+
If you invest $1,000 at 4% for 3 years, the interest is I = 1000 × 0.04 × 3 = $120. That means you earned $120 in interest, and the total value after 3 years is $1,120.
What happens if I enter time in months or days?+
Convert the time to years before using the formula, since the rate is typically annual. For months, divide by 12, and for days, divide by 365 unless your class or lender uses a different day-count convention.
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