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investment calculator

Simple Interest Calculator

The Simple Interest Calculator estimates interest earned or charged when interest is based only on the original principal. Enter the principal, fixed annual rate, and years to see the simple interest amount and the final value.

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Result

Interest earned
$1,500.00
Final value
$11,500.00

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How the Simple Interest Calculator works

Use this calculator for a note, classroom example, deposit, or borrowing-cost scenario where interest does not compound and no payments, withdrawals, or new deposits happen during the term. If the balance compounds, receives regular deposits, or amortizes through payments, use a more specific calculator instead.

Simple interest is Interest = P * (r / 100) * t. P is the Initial principal, r is the Annual rate, and t is Years. Final value equals principal plus interest. The key limit is that each year calculates interest from the same original principal, not from a growing balance.

Simple Interest Calculator formula

This formula page covers the app's simple-interest calculator: one starting principal, one fixed annual rate, and a length of time in years. It estimates interest earned or charged when interest is not added back to the balance. It does not model compounding, deposits, withdrawals, repayments, fees, taxes, inflation, day-count conventions, changing rates, or product-specific rules.

I = P * r * t; FV = P + I

Interest equals principal multiplied by the annual rate as a decimal and the number of years. Final value equals principal plus that interest.
SymbolMeaningHow this page uses it
IInterest earnedThe estimated simple interest returned as Interest earned.
FVFinal valueThe estimated principal plus simple interest returned as Final value.
PPrincipalThe Initial principal entered on the calculator.
rAnnual rate as a decimalThe Annual rate field divided by 100, so 5 percent becomes 0.05.
tYearsThe Years field. Decimal values can represent partial years, such as 0.5 for about six months.

Step by step

  1. Start with the original principal.
  2. Convert the annual percentage rate into a decimal rate by dividing by 100.
  3. Multiply principal by the decimal annual rate to estimate one year of simple interest.
  4. Multiply by the number of years to scale the interest across the term.
  5. Add the interest to the principal to get the final value.
  6. Round currency outputs to two decimals after the full-precision calculation.

Worked example

Default example: $10,000 at 5 percent for 3 years

The default calculator inputs use a $10,000 principal, a 5 percent annual rate, and 3 years.

  1. Convert 5 percent to 0.05.
  2. Multiply $10,000 by 0.05 to get $500 of simple interest for one year.
  3. Multiply $500 by 3 years to get $1,500 of total simple interest.
  4. Add $1,500 to the $10,000 principal to get a final value of $11,500.
  5. For a borrowing example, read the $1,500 as estimated interest cost before repayments, fees, lender rules, and product terms.

Simple interest is linear because each period uses the same original principal. If interest is credited back to the balance, or if payments or deposits change the balance, this formula is no longer the right model.

Assumptions and what this calculator ignores

Geographic scope: works globally. The math is currency-agnostic, so enter amounts in your own currency; local taxes, fees, and product rules are not included.

What this formula does not include

Common mistakes to avoid

Key terms

Simple interest
Interest calculated only on the original principal. The interest does not become part of the base for future interest in this calculator.
Principal
The starting amount borrowed, saved, or modeled. Simple interest is calculated from this amount for every year in the estimate.
Annual rate
The yearly percentage rate entered in the calculator. The formula converts this percentage to a decimal before multiplying by principal and years.

Frequently asked questions

When is simple interest the right model instead of compound interest?

Use it when interest is charged or earned only on the original principal and never added back to the balance - short-term personal lending, some car-title or payday-style products, bonds' coupon arithmetic, or a quick upper-vs-lower bound check. The formula is linear: I = P × r × t. With the defaults, $10,000 at 5 percent for 3 years earns exactly $1,500, the same $500 every year.

Why does simple interest grow in a straight line?

Because each period charges the rate against the same original principal, never against accumulated interest. Interest never earns interest, so every year adds an identical amount. The moment interest is credited to the balance, or payments and deposits change the principal, the linear model stops being the right tool - that scenario needs the compound interest or amortization calculators instead.

Can I use this for loan repayments or deposit schedules?

No - this calculator has no payment or deposit schedule at all. It models one principal, one rate, and one time span with no compounding, no repayments, no fees, and no day-count conventions. For a repaid loan use the Loan Payment or Amortization calculators; for growing savings with deposits use the Savings or Regular Savings Interest calculators. This page is the arithmetic baseline the others build on.

Methodology, sources, and disclaimer

This calculator is an original implementation of the linear I = P × r × t relationship with no compounding branch at all, validated by deterministic fixtures covering zero-rate, fractional-year, and rounding edge cases. It is not copied from a single source.

Fixtures pin the default $10,000-at-5-percent-for-3-years example ($1,500 interest) and confirm interest never feeds back into the principal. The result remains an educational estimate, not a lender charge calculation or a deposit quote.

Formula version 2026.05.20. The version marks the calculation logic and validation fixture set used for this estimate.

This calculator uses generic financial math, so there is no single official source for the formula.

Results are educational estimates, not advice. Read the full disclaimer.

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