Money

Simple Interest Calculator

Calculate simple interest earned on a principal amount over any time period.

CALCULATOR

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Instant results

Simple Interest Result

$12,500
Total Amount
Interest Earned$2,500
Effective Annual Rate5.00%

THE NUMORIX GUIDE

How to use the Simple Interest Calculator

Last reviewed September 14, 2026

What this calculator does

The engine converts months to months/12 and days to days/365, leaving years unchanged.

Formula and method

The engine converts months to months/12 and days to days/365, leaving years unchanged. It then applies simple interest I = P x (rate/100) x t, where t is years, and returns total amount P + I. Because the interest is never added back into the balance during the period, there is no compounding.

Variables and inputs

Enter principal, annual interest rate, time period, and time unit of years, months, or days. Principal is currency; rate is an annual percentage; the time value is converted to years before multiplication.

Worked example

For $10,000 at 5% for 5 years, I = 10,000 x 0.05 x 5 = $2,500 and total amount is 10,000 + 2,500 = $12,500. For 18 months, t = 18 / 12 = 1.5 and interest would be 10,000 x 0.05 x 1.5 = $750.

How to interpret the result

The result is appropriate only when the agreement uses a non-compounding simple-rate convention or when you intentionally want a linear illustration. A savings account, credit card, or installment loan may use daily or periodic compounding instead.

Common mistakes to avoid

Use the annual rate as a decimal only inside the formula: 5% becomes 0.05. Convert months and days to years rather than multiplying by the annual rate as if they were years. Do not use this result to replace an account's disclosed interest method.

Assumptions and limitations

The days conversion assumes 365 days and ignores leap years, day-count conventions, deposits, withdrawals, fees, taxes, and compounding. The route does not validate a zero or negative principal before calculating the effective rate.

Sources and references

COMMON QUESTIONS

Frequently asked questions

How is simple interest different from compound interest?

Simple interest applies the rate only to the original principal. Compound interest also earns interest on prior interest, so the balance path is nonlinear.

Why does the calculator divide days by 365?

The route uses a 365-day year as its conversion convention. A contract may use actual/365, 30/360, or another day-count rule.

Why does effective annual rate match the input here?

For a positive time period, the engine defines effectiveAnnualRate from total simple interest divided by principal and years, which algebraically returns the entered annual rate.