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Simple interest calculator

Estimate interest that accrues on principal alone using supplied calendar days and a 365-day year.

Calculator

Every day, including a leap day, uses a 365-day denominator.

Simple interest
$123.29
Principal plus interest
$10,123.29

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How this calculator works

Simple interest accrues only on the original principal. Elapsed days are divided by 365 under Actual/365 Fixed, including days in a leap year. Supply the day count directly so there is no ambiguity about which date endpoints to include. The calculation does not compound interest.

Formula

t = elapsed days/365; I = P × r × t; final balance = P + I. P is the original principal and r is the simple annual rate as a fraction.

Worked example

For $10,000 at 5% over 90 days, interest is $123.29 and the ending balance is $10,123.29. With zero elapsed days, interest is $0 and principal is unchanged.

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Frequently asked questions

Is a leap year divided by 366?

Not under Actual/365 Fixed. Every elapsed day uses 365 as the denominator. Actual/366 is a different convention.

Will this match my contract?

Only if the agreement uses simple interest with Actual/365 Fixed. Actual/360, 30/360 and compound-interest agreements need different calculations.

Does the interest compound?

No. Interest accrues on the original principal only and is not added to the balance during the term.

Sources

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