Description
rebasedAmount = nominalAmount*targetPriceIndex/sourcePriceIndex; comparisonGap subtracts suppliedComparison.
Historical price series need compatible quantities, quality, dates and currency conventions. Rebasing or splicing a series changes its numerical scale without resolving source comparability or proving a change in living standards.
rebasedAmount = nominalAmount*targetPriceIndex/sourcePriceIndex; comparisonGap subtracts suppliedComparison.
When to use this tool
Use Historical Money Price Base Gap when checking a supplied historical price or index transformation.
How to use the tool and how it works
- Enter nominalAmount, sourcePriceIndex, targetPriceIndex, suppliedComparison. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read rebasedAmount, comparisonGap. Use the output convention below.
Require positive sourcePriceIndex and targetPriceIndex. rebasedAmount = nominalAmount*targetPriceIndex/sourcePriceIndex; comparisonGap subtracts suppliedComparison.1
A real-value comparison adjusts a nominal value using an appropriate price index. Index selection and comparability remain separate from the arithmetic.2
| Input field | Meaning and units | Accepted input |
|---|---|---|
| nominalAmount | Nominal Amount | Required. Finite number. |
| sourcePriceIndex | Source Price Index | Required. Finite number; strictly above 0. |
| targetPriceIndex | Target Price Index | Required. Finite number; strictly above 0. |
| suppliedComparison | Supplied Comparison | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| rebasedAmount | Rebased Amount | Required. Finite number. |
| comparisonGap | Comparison Gap | Required. Finite number. |
{
"input": {
"nominalAmount": 100,
"sourcePriceIndex": 80,
"targetPriceIndex": 120,
"suppliedComparison": 140
},
"output": {
"rebasedAmount": 150,
"comparisonGap": 10
}
}Limitations and assumptions
- Indexes must be comparable and use one base convention. This price-year conversion is not currency exchange, purchasing-power parity or a validated historical welfare adjustment.
- 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
Verify the original quotation basis and comparable series concepts, and use appropriate historical evidence for quality and unit adjustments.
References
-
Calculation and input contract: economic-history/historical-money-price-base-gap — tool.io
-
Nominal and real value — European Commission
Similar or alternative tools
- Historical Price Unit Factor
targetUnitPrice = quotedPrice*targetQuantity/sourceQuantity; provenanceKey = JSON.stringify([source,dateLabel,commodity]).
- Historical Share Quoted PAR Value Gap
marketPrice = parValue*quotePercent/100; paidCapital = parValue*paidFraction; premiumToPaid = marketPrice-paidCapital.