Description
marketPrice = parValue*quotePercent/100; paidCapital = parValue*paidFraction; premiumToPaid = marketPrice-paidCapital.
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.
marketPrice = parValue*quotePercent/100; paidCapital = parValue*paidFraction; premiumToPaid = marketPrice-paidCapital.
When to use this tool
Use Historical Share Quoted PAR Value Gap when checking a supplied historical price or index transformation.
How to use the tool and how it works
- Enter parValue, quotePercent, paidFraction. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read marketPrice, paidCapital, premiumToPaid. Use the output convention below.
Require positive parValue, nonnegative quotePercent and paidFraction in [0,1]. marketPrice = parValue*quotePercent/100; paidCapital = parValue*paidFraction; premiumToPaid = marketPrice-paidCapital.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| parValue | Par Value | Required. Finite number; strictly above 0. |
| quotePercent | Quoted market price as percent of par, unlike the raw paidFraction. Unit: %. | Required. Finite number; minimum 0. |
| paidFraction | Paid Fraction | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| marketPrice | Market Price | Required. Finite number. |
| paidCapital | Paid Capital | Required. Finite number. |
| premiumToPaid | Premium To Paid | Required. Finite number. |
{
"input": {
"parValue": 100,
"quotePercent": 80,
"paidFraction": 0.5
},
"output": {
"marketPrice": 80,
"paidCapital": 50,
"premiumToPaid": 30
}
}Limitations and assumptions
- Quote is a percentage of par, whereas paidFraction is a raw fraction. Unpaid calls, dividends, security rights and actual historical exchange conventions are not verified.
- 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
Similar or alternative tools
- Historical Shipping Insurance Premium Term
insuredBase = goodsValue, adding freight only when includeFreight; premium = insuredBase*rate.
- Historical Price Unit Factor
targetUnitPrice = quotedPrice*targetQuantity/sourceQuantity; provenanceKey = JSON.stringify([source,dateLabel,commodity]).