Simple Interest Calculator

Calculate simple interest and the total amount based on principal, rate, and time period. Ideal for loans or savings using non-compounding interest.


Loan Details
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Final Amount
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Total Interest
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About the Simple Interest Calculator

The Simple Interest Calculator quickly determines the interest earned or owed over a period of time using the standard non-compounding formula. It's ideal for short-term loans, auto financing, U.S. Treasury bills, and any scenario where interest is calculated only on the original principal — not on accumulated interest. For interest that compounds over time, see the Compound Interest Calculator.

Formula Used

I = P × R × T
A = P + I = P × (1 + R × T)

Where:
I = Interest earned or owed
A = Final total amount
P = Principal (original amount)
R = Annual interest rate (decimal, e.g. 5% = 0.05)
T = Time in years

Worked Example

You borrow $10,000 at 5% annual interest for 3 years:

Interest = 10,000 × 0.05 × 3 = $1,500
Final Amount = 10,000 + 1,500 = $11,500

The interest accrues at a flat $500/year — it never compounds onto itself.

Simple vs. Compound Interest Compared

The same $10,000 at 6% for different time horizons:

DurationSimple InterestCompound (Monthly)Difference
1 year$10,600$10,616.78$16.78
5 years$13,000$13,488.50$488.50
10 years$16,000$18,193.97$2,193.97
20 years$22,000$33,102.04$11,102.04

Common Uses of Simple Interest

  • Auto loans — most U.S. car loans use daily simple interest; paying early reduces total owed
  • U.S. Treasury bills and bonds — coupon payments based on principal only
  • Personal installment loans — fixed payments calculated on original balance. Estimate your monthly payment with the Loan Calculator.
  • Short-term business loans — lines of credit drawn for weeks or months
  • Mortgage interest — accrues daily on the outstanding balance between payments. See the Mortgage Calculator for full PITI estimates.

Converting Months to Years

If your loan is in months, divide by 12 before entering: 6 months = 0.5 years, 9 months = 0.75 years, 18 months = 1.5 years. For example, $5,000 at 8% for 9 months: I = 5,000 × 0.08 × 0.75 = $300.

Disclaimer

This calculator provides general educational estimates. Actual loan or savings results may vary depending on compounding frequency, payment timing, and lender-specific terms.

Frequently Asked Questions

What is the formula for simple interest?

The formula is I = P × R × T, where P is the principal (starting amount), R is the annual interest rate expressed as a decimal (e.g., 5% = 0.05), and T is the time in years. For example, $10,000 at 5% for 3 years: I = 10,000 × 0.05 × 3 = $1,500.

How is the total amount (final balance) calculated?

Total Amount = Principal + Interest, or A = P(1 + R × T). For $10,000 at 5% for 3 years: A = $10,000 + $1,500 = $11,500. Unlike compound interest, the total grows in a straight line — the same amount of interest accrues each year.

Where is simple interest used in real life?

Simple interest is used in: short-term personal loans, auto loans (in some cases), U.S. Treasury bonds and bills, some student loans (the principal accrues interest daily before repayment begins), and payday or installment loans. It's also the basis for savings account APY calculations over a single period.

Is a car loan simple or compound interest?

Most U.S. auto loans use simple interest. Your daily interest charge is calculated as: (Principal × Annual Rate) ÷ 365. This means making payments early or on time saves money, while late payments increase the interest portion of your next payment. Paying extra toward principal directly reduces your future interest costs.

What is the difference between simple and compound interest?

With simple interest, you always earn/pay interest only on the original principal — the interest never 'earns interest.' With compound interest, interest is added to the balance and future interest is calculated on the new total. Over 10 years, $10,000 at 6%: simple interest → $16,000; compound monthly → $18,193. The gap widens dramatically over longer periods.

What time unit should I enter?

Enter time in years. For partial years: 6 months = 0.5, 3 months = 0.25, 18 months = 1.5. For example, a $5,000 loan at 8% for 9 months: I = 5,000 × 0.08 × 0.75 = $300. Always convert months to a decimal fraction of a year before entering.

When does simple interest benefit the borrower vs. the lender?

Simple interest benefits borrowers who pay early — since interest is charged only on the remaining balance, early payments reduce total interest owed. It benefits lenders on long-term investments when compounding would grow much larger returns. For short-term loans under 2 years, the difference between simple and compound is relatively small.

Can I use this for a savings account?

Yes, for basic estimates. However, most real savings accounts compound interest (daily or monthly), which means you'll earn slightly more than simple interest shows. For a more accurate savings projection with compounding, use the Compound Interest Calculator. Simple interest gives you a conservative baseline that's useful for quick comparisons.