Melee Parcel Price

Account heterogeneous measured/quoted melee inventory by class counts and mean masses, correctly weighting per-carat rate by carat exposure not stone count; no inferred quality/market value.

Description

Melee parcels can contain classes with different masses and quoted rates.

Melee parcels can contain classes with different masses and quoted rates. Per-carat averaging must weight by total class carat mass rather than stone count alone.^[1]

Account heterogeneous measured/quoted melee inventory by class counts and mean masses, correctly weighting per-carat rate by carat exposure not stone count; no inferred quality/market value.

When to use Melee Parcel Price

Use this tool to account heterogeneous measured/quoted melee inventory by class counts and mean masses, correctly weighting per-carat rate by carat exposure not stone count; no inferred quality/market value.

Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.

How to use Melee Parcel Price and understand its results

Prepare the gemstone measurements, spectra or comparison data and any supplied calibration parameters. Check units, reference conditions and record alignment.
Enter parcelClassStoneCounts, meanClassCaratMasses, classQuotedRatesPerCarat using the field table and calculation rules, then run the tool.
Read totalParcelCarats, totalParcelQuote, caratWeightedMeanQuotedRate. The explanation below defines the units, signs, ordering and any flags or placeholder values.
If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.

Input field	Meaning	Value type; see rules below	Requirement
parcelClassStoneCounts	Parcel class stone counts	list of number	Required
meanClassCaratMasses	Mean class carat masses	list of number	Required
classQuotedRatesPerCarat	Class quoted rates per carat	list of number	Required

Pair nonnegative integer class counts, nonnegative mean carat masses and rates. Require positive total parcel mass, then return total carats, total quote and carat-weighted rate.

Paired lists must be nonempty and have equal lengths.

class mass=count × mean carats; mean rate=Σclass mass × quoted rate/Σclass mass

Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.

Output field	Meaning	Value type
totalParcelCarats	Total parcel carats	number
totalParcelQuote	Total parcel quote	number
caratWeightedMeanQuotedRate	Carat weighted mean quoted rate	number

json

{
  "input": {
    "parcelClassStoneCounts": [
      10,
      20
    ],
    "meanClassCaratMasses": [
      0.01,
      0.02
    ],
    "classQuotedRatesPerCarat": [
      100,
      200
    ]
  },
  "output": {
    "totalParcelCarats": 0.5,
    "totalParcelQuote": 90,
    "caratWeightedMeanQuotedRate": 180
  }
}

Limitations and assumptions

Class measurements and comparable quotations are supplied. The tool does not determine quality or market value.

Numeric inputs and returned numeric values must be finite; an unrepresentable returned value produces an error. Numeric lists are limited to 100,000 entries; the rules above may require smaller limits. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.

Alternative or Complementary methods

Use Price Per Carat Interpolation: Interpolate caller comparable per-carat quotations within observed mass calibration and compute total quote; no live market catalog, implicit magic-size smoothing approval or appraisal assertion. For a complementary task, use Rap List Discount Application: Apply caller supplied dated list quotation, negotiated discount, currency conversion and transaction tax; no proprietary Rap list publication, current rates or tax/legal compliance assumption.

References

Melee Parcel Price — tool.io

Similar or alternative tools

Price Per Carat Interpolation
Interpolate caller comparable per-carat quotations within observed mass calibration and compute total quote; no live market catalog, implicit magic-size smoothing approval or appraisal assertion.
Rap List Discount Application
Apply caller supplied dated list quotation, negotiated discount, currency conversion and transaction tax; no proprietary Rap list publication, current rates or tax/legal compliance assumption.