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Simple Interest Calculator – I = Prt

Quick answer

Simple interest I = Prt: principal × annual rate × time.

  • Get interest, final amount and per-period interest for loans and deposits instantly.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How Does the Simple Interest Calculator Work?

I = P × r × t | Final amount = P × (1 + r × t)

Simple interest accrues linearly: every period charges the same fixed interest because it is always computed on the original principal. The calculator multiplies the principal P by the annual rate r and the time t in years — months entered are converted to t = months ÷ 12 automatically. Example: a 15,000 loan at 4.5% flat for 5 years costs I = 15,000 × 0.045 × 5 = 3,375 in interest, making the final amount 18,375, or exactly 675 of interest per year. Contrast that with reducing-balance interest, where the same 4.5% on a 5-year amortized loan would cost around 1,775 — flat simple interest quoted by dealers is nearly twice as expensive as the same rate on a declining balance, so always ask which method a quoted rate uses.

  1. 1

    Step 1

    Enter the principal P — the amount deposited or borrowed.

  2. 2

    Step 2

    Enter the annual rate r as a percentage and the period t in years or months.

  3. 3

    Step 3

    The tool returns total interest I and the final amount P + I.

  4. 4

    Step 4

    Compare with a reducing-balance loan to see the true cost gap.

Use Cases

Flat-rate car finance

Computing the real interest on dealer finance quoted as a flat percentage

Fixed deposits

Interest earned on a term deposit that does not compound

Inter-family loans

Setting transparent interest on a private loan with fixed dates

Bridge financing

Short-term interest cost for months-long borrowing between transactions

Common Mistakes

  • Comparing flat with reducing rates

  • Wrong time units

  • Overlooking installment timing

FAQs

What is the simple interest formula?

I = P × r × t — principal times annual rate times years. For 15,000 at 4.5% over 5 years: 15,000 × 0.045 × 5 = 3,375 of interest, final amount 18,375.

How much interest does 15,000 earn at 4.5% for 5 years simple?

3,375 total — exactly 675 per year, because simple interest always uses the original principal, never accumulated interest.

Is a flat rate the same as simple interest?

Yes — flat-rate car and personal loans apply simple interest to the original balance for the whole term. A 4.5% flat loan costs roughly double the interest of a 4.5% reducing-balance (amortized) loan over the same 5 years.

How do I compute simple interest for 9 months?

Use t = 9 ÷ 12 = 0.75. On 15,000 at 4.5%: I = 15,000 × 0.045 × 0.75 = 506.25.

Can simple interest apply to late payments?

Often yes — late-fee clauses commonly charge simple interest per month or year on the overdue amount, e.g. 2% per month simple on an unpaid 800 invoice adds 16 per month.