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Interest Capitalization Rounding Reserve Tool

Carry an unrounded-minus-booked interest residual into a supplied prior reserve.

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Description

Return priorReserve+exactInterest-bookedInterest.

Financial accounting arithmetic tracks amounts, balances, fees and allocations on a declared currency and sign basis. An algebraically consistent result does not authorize a transaction or establish an amount legally due.

Return priorReserve+exactInterest-bookedInterest.

When to use this tool

Use Interest Capitalization Rounding Reserve when you need a specified monetary balance or allocation calculation.

How to use the tool and how it works

  1. Enter exactInterest, bookedInterest, priorReserve. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read reserve. Use the output convention below.

Return priorReserve+exactInterest-bookedInterest.1

Input fieldMeaning and unitsAccepted input
exactInterestExact InterestRequired. Finite number.
bookedInterestBooked InterestRequired. Finite number.
priorReservePrior ReserveRequired. Finite number.
Output fieldInterpretationReturned shape
reserveReserveRequired. Finite number.
json
{
  "input": {
    "exactInterest": 10.125,
    "bookedInterest": 10.12,
    "priorReserve": 0.005
  },
  "output": {
    "reserve": 0.010000000000001563
  }
}

Limitations and assumptions

  • All amounts share a monetary basis. The signed reserve is a supplied rounding ledger term without actual booking, currency rounding or interest calculation.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Reconcile source ledgers and governing agreements using the intended currency precision and accounting policy. Include omitted fees, tax, timing and legal requirements before acting on a result.

References

  1. Calculation and input contract: finance/interest-capitalization-rounding-reserve — tool.io

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