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Budget Constraint Numeraire Change Price

Express one explicit nonnegative price in units of a supplied positive numeraire price without changing currency values.

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Description

Express a supplied price relative to a positive numeraire price.

Economic scalar terms depend on price/cost units, denominators, currency direction and the distinction between supplied scenarios and estimated behavior. A price-based margin differs from a cost-based markup, while a constant-revenue construction does not estimate demand. Local taxes, rebates and effect sums retain their stated accounting assumptions.

Express a supplied price relative to a positive numeraire price.

When to use this tool

Use Budget Constraint Numeraire Change Price when you already have firstPrice, numerairePrice and need to express a supplied price relative to a positive numeraire price.

How to use the tool and how it works

  1. Enter firstPrice, numerairePrice. 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 relativePrice. Use the output convention below.

Require firstPrice>=0 and numerairePrice positive/finite; return firstPrice/numerairePrice.1

Input fieldMeaning and unitsAccepted input
firstPriceFirst PriceRequired. Finite number; minimum 0.
numerairePriceNumeraire PriceRequired. Finite number; strictly above 0.
Output fieldInterpretationReturned shape
relativePriceRelative PriceRequired. Finite number.
json
{
  "input": {
    "firstPrice": 12,
    "numerairePrice": 4
  },
  "output": {
    "relativePrice": 3
  }
}

Limitations and assumptions

  • Prices must share a currency and quantity convention. No budget, currency rate, utility or economic equivalence is inferred.
  • 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

Use the complete budget, demand, cost and applicable rule definitions for an economic conclusion. Estimate and validate the actual model when effects or responses are needed; one signed wedge, supplied share or algebraic identity does not establish behavior or policy outcomes.

References

  1. Calculation and input contract: economics/budget-constraint-numeraire-change-price — tool.io

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