Simple Interest Calculator

Calculate simple interest (I = P × r × t) on a loan or investment — the interest earned, the total amount, and a clear principal-vs-interest breakdown. Free, instant, works on any device.

Simple Interest Calculator

I = P × r × t

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Total Interest
Principal
Final Amount
Principal vs Interest

How Simple Interest Works

Simple interest is calculated only on the original principal — never on previously earned interest. The formula is I = P × r × t, where P is the principal, r is the annual rate (as a decimal), and t is the time in years. For example, $10,000 at 5% for 3 years earns 10,000 × 0.05 × 3 = $1,500 in interest, for a total of $11,500. Unlike compound interest, the interest each year stays the same because it's always based on the starting amount.

Simple interest is common in short-term loans, car loans, some personal loans, and many bonds and certificates. It's almost always better for a borrower (you pay less than with compounding) and worse for a saver (you earn less than compounding). When comparing offers, check whether the rate is simple or compound — over long periods the difference is large.

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The Formula

Interest = Principal × Rate × Time. Total = Principal + Interest. Time must be in years (6 months = 0.5, 90 days ≈ 0.2466).

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Simple vs Compound

Simple interest is flat each period. Compound interest grows because it earns interest on interest — so compound always exceeds simple over time at the same rate.

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Where It's Used

Auto loans, short-term personal loans, Treasury bills, and many bonds use simple interest. Savings accounts and credit cards use compound interest.

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Time Conversion

This tool converts months and days to years for you (months ÷ 12, days ÷ 365), so you can enter the period in whatever unit your loan uses.

Formula & Logic

Simple interest is charged only on the original principal, never on accumulated interest. That makes it the cheaper arrangement for a borrower and the poorer one for a saver, and it explains why it survives mainly in short-dated instruments — car loans in some jurisdictions, bridging finance, Treasury bills and informal lending — where the term is too short for compounding to matter much. Because the interest per period never changes, total interest is linear in time: doubling the term exactly doubles the interest, which is never true of a compound loan.

I = P × r × tA = P + I = P(1 + rt)

where:

I
total interest charged over the whole term
P
principal — the amount borrowed or deposited
r
annual interest rate as a decimal (5% = 0.05)
t
time in years (9 months = 0.75)
A
total amount repayable, principal plus interest

Assumptions: Assumes the rate and principal are unchanged for the full term and that no payments are made until maturity. If you make payments along the way, the principal falls and an amortization calculation applies instead.

Step-by-Step Example: $8,000 at 5.5% for 9 Months

A short-term $8,000 loan at 5.5% simple interest, repayable in full after nine months.

  • Principal (P)$8,000
  • Rate (r)5.5% = 0.055
  • Term (t)9 months = 0.75 years
  1. Convert the term to years: 9 ÷ 12 = 0.75.
  2. Apply the formula: I = $8,000 × 0.055 × 0.75.
  3. Multiply through: $8,000 × 0.055 = $440 of interest for a full year.
  4. Scale to the actual term: $440 × 0.75 = $330.
  5. Add the principal: $8,000 + $330 = $8,330 due at maturity.

Result$330 interest — $8,330 repayable

The same loan at 5.5% compounded monthly would cost $335 — only $5 more, which is why simple interest is a reasonable approximation at short terms. Stretch it to ten years and the gap widens to over $1,300.

Simple Interest FAQ

Simple interest = Principal × Rate × Time (I = P × r × t), where the rate is the annual rate as a decimal and time is in years. The total amount you'll owe or have is Principal + Interest. Example: $5,000 at 6% for 2 years = 5,000 × 0.06 × 2 = $600 interest, total $5,600.
Simple interest is calculated only on the original principal, so the amount earned each year is constant. Compound interest is calculated on the principal plus all previously accumulated interest, so it grows faster over time. At 5% on $10,000 for 10 years, simple interest yields $5,000, while monthly compounding yields about $6,470.
Divide months by 12 (so 18 months = 1.5 years) or days by 365 (so 90 days ≈ 0.247 years). This calculator does the conversion automatically — just pick "months" or "days" from the dropdown and enter the number.
Most US auto loans use simple interest that accrues daily on the outstanding balance. Because you pay it down with each payment, paying early or extra reduces the total interest. This calculator shows the straightforward I = P × r × t result, which matches a single-period or flat-balance scenario.

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✔ Written & reviewed by Dr Sam — 20+ yrs in management & research leadership📅 Last updated June 2026📑 How we build & check these