Simple Interest Calculator
Calculate the interest charged or earned on a principal amount at a fixed rate over a set period. Simple interest is used in short-term loans, treasury bills, and some savings accounts.
How It Works
Simple interest is the most straightforward way to calculate the cost or return of borrowing money. Unlike compound interest, it is always calculated on the original principal — the balance never grows to form a larger base.
The formula is:
SI = P × R × T / 100
Where SI is the simple interest, P is the principal amount, R is the annual interest rate as a percentage, and T is the time in years.
Total amount = P + SI
Worked example: You lend $5,000 at 8% per year for 3 years.
SI = 5000 × 8 × 3 / 100 = $1,200
Total amount = $5,000 + $1,200 = $6,200
This means the borrower repays $6,200 in total — $1,200 of that is interest.
Notice that each year, the interest is exactly the same: $5,000 × 8% = $400 per year × 3 = $1,200. There is no compounding.
When is simple interest used in practice? Short-term car loans and personal loans often use simple interest, meaning every payment goes first to accrued daily interest, then to principal. If you pay early, you save on interest because the daily rate is applied to a lower balance. Treasury bills (T-bills) use a variant of simple interest called discount yield. Some certificates of deposit pay simple interest at maturity. Payday loans and some installment contracts also state their charges as flat-rate simple interest — though the effective APR can be much higher.
Comparing simple and compound: On a 1-year loan, both methods give the same result. Over multiple years, compound interest grows faster. For a $10,000 principal at 5% for 5 years, simple interest yields $2,500 in total interest, while monthly compounding yields $2,834 — a 13% difference. For long-term investments, always prefer compound interest; for short-term loans, ask whether simple or compound is being applied.
Frequently Asked Questions
What types of loans use simple interest?
Many auto loans, personal installment loans, and some mortgages use simple interest calculated on the daily outstanding balance. Paying a few days early can save interest because fewer days of interest accrue before the next payment is applied.
How do I enter time in months rather than years?
Divide the number of months by 12 to convert to years before using the formula. For example, 18 months = 18/12 = 1.5 years. So SI for $3,000 at 6% for 18 months = 3000 × 6 × 1.5 / 100 = $270.
Is simple interest always cheaper than compound?
Yes, over periods longer than one compounding interval. In the first compounding period they produce the same result. After that, compound interest accumulates faster because each period earns interest on a growing base.
What is the difference between interest rate and APR?
The interest rate is the base cost of borrowing. APR (Annual Percentage Rate) includes fees, points, and other costs amortized over the loan term. By law (TILA in the US), lenders must disclose APR so consumers can compare offers. APR is always equal to or higher than the stated rate.