Bill discount simulator

Calculates discount amount and net proceeds from face value, annual rate, discount days, and fees.

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Calculation specification

Reviewed on:

Formula basis

rawDiscountYen=faceValueYen×(annualRatePercent/100)×days/365. discountYen rounds rawDiscountYen to the roundingUnit (1, 10, or 100) using roundingMode (floor, halfUp, or ceil), and netProceedsYen=max(0, faceValueYen−discountYen−otherFeeYen). When days>0 and net proceeds are greater than 0, effectiveAnnualRatePercent=((discountYen+otherFeeYen)/netProceedsYen×100)×365/days; otherwise, it is 0.

Calculation method

Using the bill's face value, annual rate, discount days, other fees, and rounding settings, this calculator applies simple interest on a 365-day basis to calculate the discount charge, total cost, net proceeds, and effective annual rate based on net proceeds.

Exclusions and checks required

  • Days are always calculated on a 365-day basis; the calculator does not determine a financial institution's rules for including the discount date or maturity date, leap years, bank holidays, or collection days.
  • annualRatePercent and otherFeeYen are entered values; the calculator does not automatically obtain actual contract terms such as credit risk, recourse, guarantee fees, stamp duty, consumption tax, or collection fees.
  • If the discount charge and fees equal or exceed the face value, net proceeds are limited to ¥0, so the result does not represent excess costs or whether a contract is available.

Example input:：Discounting ¥1,000,000 for 90 days at 3% annually and rounding down to the nearest ¥100

faceValueYen
1000000
annualRatePercent
3
days
90
otherFeeYen
2000
roundingUnit
Under 100 yen
roundingMode
Round down

The discount charge is ¥7,300, total cost is ¥9,300, net proceeds are ¥990,700, and the effective annual rate is approximately 3.80%, but these figures do not represent a financial institution's quote or contract terms.

FAQ

Who is this calculator for? Bill discount simulator

Calculates discount amount and net proceeds from face value, annual rate, discount days, and fees.

What values should I enter?

Applies to: Cash & trading / Discount amount = face value × annual rate × days ÷ 365. Net proceeds = face value − discount − other fees.

How should I interpret this estimate?

Using the bill's face value, annual rate, discount days, other fees, and rounding settings, this calculator applies simple interest on a 365-day basis to calculate the discount charge, total cost, net proceeds, and effective annual rate based on net proceeds.

How to use

  1. Enter your input values and press Calculate.
  2. Review the result and compare it with expected context.
  3. rawDiscountYen=faceValueYen×(annualRatePercent/100)×days/365. discountYen rounds rawDiscountYen to the roundingUnit (1, 10, or 100) using roundingMode (floor, halfUp, or ceil), and netProceedsYen=max(0, faceValueYen−discountYen−otherFeeYen). When days>0 and net proceeds are greater than 0, effectiveAnnualRatePercent=((discountYen+otherFeeYen)/netProceedsYen×100)×365/days; otherwise, it is 0.