Payment terms calculator

A 2% discount for paying twenty days early is an enormous implied interest rate. Suppliers often do not realise what they are offering.

%
days
days
Effective annual rate of the discount
44.59%
≈ Rounded Early payment discount
Simple annualised rate
37.24 %
Cash saved on this invoice
200.00
Amount to pay early
9800.00
Days of credit given up
20
Rate per period
0.020 408
Show the working
  1. Discount for early payment = 2
  2. Discount period = 10
  3. Full payment due = 30
  4. Invoice value = 10 000
  5. Days of credit given up = max(30 - 10, 1) = 20
  6. periods = 365 / 20 = 18.25
  7. Rate per period = 2 / (100 - 2) = 0.020 408 2
  8. Simple annualised rate = 0.020 408 2 * 18.25 * 100 = 37.2449
  9. Effective annual rate of the discount = ((1 + 0.020 408 2)^18.25 - 1) * 100 = 44.5853
  10. Cash saved on this invoice = 10 000 * 2/100 = 200
  11. Amount to pay early = 10 000 - 200 = 9800

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • period rate = discount / (100 - discount)
    • effective annual rate = (1 + period rate)^(365 / days gained) - 1

    2/10 net 30 works out at about 44% simple annualised, or 55% compounded. Take the discount if you can fund it.

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