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Benefit Cliff Discrete Income Gap Tool

Calculate benefit cliff discrete income gap from explicit caller-supplied inputs.

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Description

Calculate benefit cliff discrete income gap from explicit caller-supplied inputs.

A policy scenario makes eligibility bases, rates, thresholds, periods, and costs explicit. A calculated share or balance follows those assumptions. It does not select the governing policy or establish what caused an observed program outcome.

Calculate benefit cliff discrete income gap from explicit caller-supplied inputs.

When to use this tool

Use it for benefit cliff discrete income gap when the required inputs and conventions are already available.

How to use the tool and how it works

  1. Enter oldIncome, newIncome, oldBenefit, newBenefit, taxIncrease. Use the stated units and boundary conventions.
  2. Run the calculation. Correct any input error before interpreting a result.
  3. Read grossGain, disposableGain, effectiveLossRate. Inspect any known, defined, inclusion, or boundary flags before interpreting numeric values.

Require newIncome>oldIncome>=0 and nonnegative oldBenefit, newBenefit, and taxIncrease. Return grossGain, disposableGain=grossGain+newBenefit-oldBenefit-taxIncrease, and effectiveLossRate=(oldBenefit-newBenefit+taxIncrease)/grossGain.1

Input fieldMeaning and unitsAccepted input
oldIncomeOld IncomeRequired. Finite number; minimum 0.
newIncomeNew IncomeRequired. Finite number.
oldBenefitOld BenefitRequired. Finite number; minimum 0.
newBenefitNew BenefitRequired. Finite number; minimum 0.
taxIncreaseTax IncreaseRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
grossGainGross GainRequired. Finite number.
disposableGainDisposable GainRequired. Finite number.
effectiveLossRateEffective Loss RateRequired. Finite number.
json
{
  "input": {
    "oldIncome": 100,
    "newIncome": 110,
    "oldBenefit": 20,
    "newBenefit": 0,
    "taxIncrease": 2
  },
  "output": {
    "grossGain": 10,
    "disposableGain": -12,
    "effectiveLossRate": 2.2
  }
}

Limitations and assumptions

  • EffectiveLossRate may be negative or greater than one. This compares two supplied scenarios and does not calculate actual taxes, entitlement, or a continuous marginal tax rate.
  • The field tables describe structural bounds; the mechanics also state cross-field requirements. Malformed input shapes, disallowed keys, and invalid domains cause input errors. Results must remain finite and within the declared output contract. A successful false flag or zero placeholder is distinct from an error.
  • Numeric arithmetic uses binary floating point. Exact comparisons have no hidden tolerance or decimal rounding; negative zero is exported as zero. Decimal-text integer operations retain the exactness specifically stated above.

Alternative or Complementary methods

For benefit cliff discrete income gap, check the source records and the supplied rule before comparing the result with another method. Consult the applicable authoritative rule when deciding eligibility, legal timing, fees, or obligations.

References

  1. Calculation and input contract: public-policy/benefit-cliff-discrete-income-gap — tool.io

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