Simple Interest Calculator
Calculate interest, total amount, and a period-by-period growth schedule using the I = P × r × t formula for any principal, rate, and time.
Last Updated: April 2026
Educational and Estimation Notice
This calculator is designed for financial education and estimation. Actual loan interest may differ based on lender-specific conventions, payment timing, origination fees, and regulatory requirements. Always review your loan agreement or consult a financial professional for binding calculations.
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Page updated April 2026. Trust-critical pages are reviewed when official rates or rules change. Evergreen calculator guides are checked on a recurring quarterly or annual cycle depending on topic volatility.
How to Use This Calculator
Step 1: Enter the principal
Type the starting loan or investment amount.
Step 2: Set the annual interest rate
Enter the annual rate as a percentage (for example, 5 for 5%).
Step 3: Enter the time period
Type the duration and choose years, months, or days from the dropdown.
Step 4: Review results and schedule
Check the interest, total amount, accrual rates, and the period-by-period growth schedule.
How This Calculator Works
The calculator applies the simple interest formula: I = P × r × t. Principal is your starting amount, r is the annual rate expressed as a decimal, and t is time in years. If you select months or days, the tool converts automatically before applying the formula.
Because simple interest grows linearly, the same dollar amount of interest accrues every period. The calculator displays this as a daily, monthly, and yearly rate so you can reason about accrual at any timescale. The growth schedule breaks the full period into steps so you can see the running balance at each checkpoint.
The effective rate for the period shows the total interest as a percentage of principal over the entire term. For a 5% annual rate over 3 years, the effective period rate is 15% — meaning the total interest equals 15% of the original principal, regardless of how many payments are made.
What You Need to Know
The simple interest formula
Simple interest is calculated with one equation: I = P × r × t. P is the principal (the amount borrowed or invested), r is the annual interest rate expressed as a decimal (divide the percentage by 100), and t is time measured in years. Total repayment or total savings is then A = P + I.
| Formula | Expression | Description |
|---|---|---|
| Simple Interest | I = P × r × t | Interest earned or owed |
| Total Amount | A = P + I = P × (1 + r × t) | Principal plus interest |
| Daily Interest | I/day = P × r / 365 | Interest added per calendar day |
| Monthly Interest | I/month = P × r / 12 | Interest added per month |
| Effective Period Rate | r × t | Total rate applied over the full time period |
The formula is linear in all three variables. Doubling the principal doubles the interest. Doubling the rate doubles the interest. Doubling the time doubles the interest. This predictability is one reason simple interest is used for short-term lending and educational examples.
Worked examples
| Scenario | Calculation | Total amount |
|---|---|---|
| $5,000 at 6% for 2 years | 5,000 × 0.06 × 2 = $600 | $5,600 |
| $15,000 at 4.5% for 18 months | 15,000 × 0.045 × 1.5 = $1,012.50 | $16,012.50 |
| $1,000 at 8% for 90 days | 1,000 × 0.08 × (90/365) = $19.73 | $1,019.73 |
Simple interest vs compound interest
The key difference is what the interest rate is applied to each period. Simple interest always applies to the original principal. Compound interest applies to the growing balance — principal plus any interest already earned. Over short terms, the two are close. Over long terms, compound interest produces substantially larger totals.
| Factor | Simple interest | Compound interest |
|---|---|---|
| Interest base | Principal only | Principal + accumulated interest |
| Growth pattern | Linear — same amount each period | Exponential — grows faster over time |
| Short-term cost/gain | Very similar to compound | Slightly higher than simple |
| Long-term cost/gain | Much lower than compound | Much higher than simple |
| Typical products | Auto loans, some personal loans, T-bills | Mortgages, savings accounts, credit cards |
| Calculation ease | One multiplication | Requires exponentiation |
For a quick comparison, enter your values here and then run the same numbers through the compound interest calculator. The difference grows visibly with longer time periods and higher rates.
Where simple interest appears in real life
| Product | How simple interest applies |
|---|---|
| Auto loan | Banks apply your monthly payment first to interest, then principal, using simple interest on the remaining balance |
| Treasury bills | US T-bills use simple interest because the term is under one year |
| Savings bonds (Series EE/I) | Simple interest before maturity; compound interest applies at maturity under certain conditions |
| Short-term personal loans | Many credit unions and community banks offer simple interest personal loans |
| Promissory notes | Informal loans between individuals typically use simple interest for clarity |
Using time in months or days
When a loan term or investment period is expressed in months or days, convert to years before applying the formula. For months, divide by 12. For days, divide by 365. Some financial products use a 360-day year (the bank year or commercial year) instead of 365. In those cases the daily interest will be slightly higher. This calculator uses 365 days per year.
Example: A 90-day T-bill at 5% on $10,000 earns: I = 10,000 × 0.05 × (90/365) = $123.29. If the same calculation used a 360-day year: I = 10,000 × 0.05 × (90/360) = $125.00. The difference is small but matters for precise financial work.
Solving for principal, rate, or time
The formula rearranges easily for any unknown. To find the principal needed to earn a target interest: P = I / (r × t). To find the rate required for a given interest over a known period: r = I / (P × t). To find the time needed to earn a target amount at a known rate: t = I / (P × r).
This calculator focuses on the standard forward calculation from principal, rate, and time. For deeper savings and investment planning, the compound interest calculator and CAGR calculator extend this analysis to scenarios with recurring contributions and compounding periods.
Keep the research moving with Compound Interest Calculator, CAGR Calculator, Loan EMI Calculator, and Inflation Calculator.
Frequently Asked Questions
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Use Financial CalculatorsSources & References
- 1.Khan Academy — Simple Interest(Accessed April 2026)
- 2.Consumer Financial Protection Bureau — Understanding Interest(Accessed April 2026)
- 3.US Treasury — Treasury Bills(Accessed April 2026)