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Net Tax Budget Line Slope Tool

Compute a two-good budget-line slope from explicit per-unit taxes or subsidies.

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Description

Return both net prices and slope = -firstNetPrice/secondNetPrice.

Policy wedges and boundary checks depend on supplied tax, subsidy and floor conventions. A local difference or triangle approximation can describe the stated model without establishing the actual rule, incidence or full welfare effect.

Return both net prices and slope = -firstNetPrice/secondNetPrice.

When to use this tool

Use Net Tax Budget Line Slope when checking a supplied economic-policy contribution or comparison.

How to use the tool and how it works

  1. Enter firstPrice, secondPrice, firstTax, secondTax. 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 slope, firstNetPrice, secondNetPrice. Use the output convention below.

Require positive firstPrice+firstTax and secondPrice+secondTax. Return both net prices and slope = -firstNetPrice/secondNetPrice.1

Input fieldMeaning and unitsAccepted input
firstPriceFirst PriceRequired. Finite number.
secondPriceSecond PriceRequired. Finite number.
firstTaxFirst TaxRequired. Finite number.
secondTaxSecond TaxRequired. Finite number.
Output fieldInterpretationReturned shape
slopeSlopeRequired. Finite number.
firstNetPriceFirst Net PriceRequired. Finite number.
secondNetPriceSecond Net PriceRequired. Finite number.
json
{
  "input": {
    "firstPrice": 2,
    "secondPrice": 4,
    "firstTax": 1,
    "secondTax": 2
  },
  "output": {
    "slope": -0.5,
    "firstNetPrice": 3,
    "secondNetPrice": 6
  }
}

Limitations and assumptions

  • Taxes are signed per-unit additions, not percentage rates. This is the second-good-versus-first-good budget-line slope, not tax incidence or legal tax treatment.
  • 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

Consult the actual policy and a suitable complete equilibrium and welfare analysis before interpreting a local term as a policy outcome.

References

  1. Calculation and input contract: economics/net-tax-budget-line-slope — tool.io

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