National University of Singapore · FACULTY OF ENVIRONMENTAL SCIENCE

SM5005 Chap.7 Price Years, Imports and Margins

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Chapter 7 of 10 · SM5005

Price Years, Imports and Margins

A factor and a purchase must speak the same monetary language

Spend-based multiplication is valid only when expenditure and emission factors share a compatible currency, price year, valuation basis and sector definition. Nominal expenditure from one year cannot be treated as though it were expressed in the model year without adjustment.

The conversion should be recorded as a visible modelling step rather than absorbed into a spreadsheet cell with no explanation.

Purchaser prices contain more than producer output

The amount paid by a buyer can include taxes and trade or transport margins, while an input-output factor may be based on basic prices received by producers.

Applying the factor directly to the full purchaser-price amount assigns producer emissions to components that belong to other sectors or valuation categories.

The teaching example uses a purchaser-price conversion factor of 0.425, illustrating that the valuation adjustment can be materially different from one.

Imports require origin weighting

A domestic sector factor applied to a mixed-origin purchase assumes imported supply has the domestic intensity.

The course example instead combines equal source shares with factors of 0.2 and 0.6, producing a weighted factor of 0.4. The arithmetic is straightforward, but its credibility depends on the shares and factors referring to compatible sectors, periods and units.

Keep an alignment register

For every expenditure column, record original currency and year, conversion index, target basis, purchaser-to-basic-price treatment, import shares and the factor selected.

Reconcile totals after each transformation. A staged register makes it possible to distinguish a genuine footprint change from a price conversion or classification effect.

In this chapter

What this chapter covers

  • 01

    Currency and model-year alignment

  • 02

    Nominal and real expenditure

  • 03

    Purchaser and basic prices

  • 04

    Trade and transport margins

  • 05

    Origin-weighted import factors

  • 06

    Transformation register and reconciliation

Worked example · free

Combining origin and valuation adjustments

Q [8 marks]. A purchase is split equally between a source with factor 0.2 and one with factor 0.6. Find the weighted factor, then state where a purchaser-to-basic-price conversion belongs. The marks shown separate weighting from valuation and are not a University assessment scheme.
The consumption factor is a share-weighted average of origin-specific factors; neither origin alone represents the purchased mix.The consumption factor is a share-weighted average of origin-specific factors; neither origin alone represents the purchased mix. 50% at 0.2 50% at 0.6 weighted factor 0.4 kgCO2e/$ 0.50 x 0.2 + 0.50 x 0.6 = 0.4
The consumption factor is a share-weighted average of origin-specific factors; neither origin alone represents the purchased mix.
  • 1Write the two source weights.
  • 2Calculate both weighted contributions.
  • 2Add them to obtain the combined factor.
  • 3Place and explain the valuation conversion.
The combined factor is (0.5 × 0.2) + (0.5 × 0.6) = 0.4. The origin weighting chooses the intensity appropriate to the sourcing mix. If the observed spend is at purchaser prices and the factor basis is basic prices, convert the expenditure to the compatible basis before multiplying by 0.4, documenting how margins and taxes are treated. The course's purchaser conversion example uses 0.425, but that value belongs only where its stated basis and category match.
Sia tip — Align the money first, combine origin factors second, and multiply only after both checks are explicit.
Glossary

Key terms

Price Year
The year whose price level is represented by a monetary value.
Purchaser Price
The buyer's paid amount, potentially including taxes and margins.
Basic Price
The producer's valuation basis excluding separately allocated product taxes and margins.
Import Share
The proportion of a purchase attributed to a specified producing origin.
Weighted Factor
The sum of origin-specific factors multiplied by their sourcing shares.
FAQ

Price Years, Imports and Margins FAQ

Why can nominal growth look like carbon growth?

Expenditure can rise because prices changed even when physical activity did not. Applying a factor expressed in another price year to unadjusted nominal spend mixes price movement with activity. Converting to the model basis helps isolate the quantity represented by the factor.

Where do margins go?

They should be treated consistently with the input-output model's valuation tables. A purchaser-price total may need to be separated into producer value, trade, transport and taxes before factors are applied. The exact bridge depends on the model and available conversion data.

Can one national import factor be used for every sector?

Not without a strong approximation. Origin shares and intensity differences vary by sector, so a single economy-wide share can hide important structure. At minimum, document the aggregation and test categories where imports or intensity contrasts are material.

Study strategy

Assessment move

For one purchase, build a transformation ladder from original spend to factor-ready spend. Put the number, unit, currency, year, valuation and origin on every rung, and reconcile the amount after each change. Reproduce the equal-share import example and then change the source shares while holding expenditure fixed; explain why the weighted intensity moves.

Create a second check in which the component footprints and the single weighted factor produce the same answer. Decompose a purchaser price into producer value, wholesale and transport, assign each a matched factor and verify that the component prices return to the amount paid. Write the direction of every price-year and currency conversion in words before using a rate.

A conversion should answer which year's purchasing power and which currency unit the factor represents, not merely make the decimals look comparable. Keep a register for the original value, transformation source, target basis and revised value.

Finish by listing the false conclusions that could result from skipping each alignment step, such as interpreting inflation, exchange rates or an import-mix change as a physical emissions change. Save one small test purchase whose component route and weighted-factor route agree exactly.

Run that control after every model update so changes in margins, shares or conversion direction are caught before the full portfolio is recalculated. Write the reconciliation difference as zero explicitly so a changed assumption cannot hide behind rounding.

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