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Simple annual cost threshold — Annualised Early-Payment Discount Calculator

Annualised Early-Payment Discount: Calculate simple annual cost threshold from Early-payment discount, Normal payment term, Discount payment term. Check the formula, input units and worked result on this page.

Enter your values

%
Formula symbol: discount. Enter the percentage as a number: for 15%, enter 15. Must be greater than zero. Allowed range: 0.001–99.999.
d
Formula symbol: normal. Required unit: d. Must be greater than zero. Allowed range: 0.001–3,650.
d
Formula symbol: early. Required unit: d. Use a non-negative value. Allowed range: 0–3,650.

Use a decimal point, without thousands separators.

This is a simple 365-day comparison, not compounded investment return or a loan APR. Normal terms must exceed early-payment terms.
Example result
Simple annual cost threshold
37.24489796 %

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

The cost of not taking a discount is annualised relative to the discounted amount and the days of payment deferral. This form solves for simple annual cost threshold; enter the known quantities in Early-payment discount, Normal payment term, Discount payment term.

Inputs and units
Simple annual cost threshold — Annualised Early-Payment Discount Calculator · Inputs and units
InputExample valueWhat to enter
Early-payment discount2 %Formula symbol: discount. Enter the percentage as a number: for 15%, enter 15. Must be greater than zero. Allowed range: 0.001–99.999.
Normal payment term30 dFormula symbol: normal. Required unit: d. Must be greater than zero. Allowed range: 0.001–3,650.
Discount payment term10 dFormula symbol: early. Required unit: d. Use a non-negative value. Allowed range: 0–3,650.
annual = ((discount * 365 * 100) / ((100 - discount) * (normal - early)))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Early-payment discount
2 %
Normal payment term
30 d
Discount payment term
10 d

Complete example results

Simple annual cost threshold
37.24489796 %

Reading the result

The result solves for simple annual cost threshold from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the simple annual cost threshold result?

This is a simple 365-day comparison, not compounded investment return or a loan APR. Normal terms must exceed early-payment terms.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: uomustansiriyah.edu.iq

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