The Annex IV formula for a complex good is one line. The precursor carries almost all of the answer, and three easy errors take hundreds of tonnes off it.
For a complex good such as a steel fastener, specific embedded emissions are the direct emissions attributed to the product's own process plus the embedded emissions of the precursors it consumed, divided by the tonnes of product made. On an illustrative plant that emits 2,400 tonnes of CO2e to turn 21,500 tonnes of wire rod at 1.90 into 20,000 tonnes of fasteners, the answer is 2.1625 tonnes of CO2e per tonne, and 94.5 per cent of it comes from the wire rod, not the fastener plant.
Worked in full in The CBAM Compliance Handbook by Julian R. Sterling, with every figure reproduced in a free workbook.See the book on Amazon →
Annex IV of Regulation (EU) 2023/956, the CBAM Regulation, defines the specific embedded emissions of a complex good as the attributed emissions of its production process plus the embedded emissions of its relevant precursors, all over the activity level, which is the mass of the good produced. The precursor term is itself a sum: the mass of each precursor consumed times its own specific embedded emissions. For iron and steel, listed in Annex II, only direct emissions count during the definitive period; the emissions of the electricity consumed in the process are not added. For cement and fertilisers, indirect emissions are counted as well.
SEEg = (AttrEmg + EEInpMat) / ALg
EEInpMat = Σ Mi × SEEi, over the relevant precursors consumed
Excel: =(DirectEm+SUMPRODUCT(PrecursorTonnes,PrecursorSEE))/OutputTonnes
A fictional fastener maker outside the EU buys hot-rolled wire rod from a blast furnace producer and exports part of its output to an EU importer. Every figure is illustrative; the supplier's 1.90 is a plausible order of magnitude for the route, not a published value.
| Input | Value |
|---|---|
| Fasteners produced (activity level), tonnes | 20,000 |
| Attributed direct emissions of the fastener process, tCO2e | 2,400 |
| Emissions from electricity consumed, tCO2e (not counted for steel) | 1,600 |
| Wire rod consumed, tonnes | 21,500 |
| Supplier's actual SEE of the wire rod, tCO2e per tonne | 1.90 |
| Fasteners imported into the EU in the year, tonnes | 3,000 |
Start with the precursor, because it is the large number. The plant consumed 21,500 tonnes of wire rod to make 20,000 tonnes of product: 1.075 tonnes in for each tonne out, a 7.5 per cent loss to cutting, heading and scrap. Every tonne consumed carries its embedded emissions, including the ones that end up as offcuts.
EEInpMat = 21,500 × 1.90 = 40,850 tCO2e
Attributed plus precursor = 2,400 + 40,850 = 43,250 tCO2e
SEE = 43,250 / 20,000 = 2.1625 tCO2e per tonne
Embedded emissions declared = 2.1625 × 3,000 = 6,487.5 tCO2e
| Component | tCO2e | Per tonne of product |
|---|---|---|
| Fastener process, direct | 2,400 | 0.12 |
| Wire rod precursor | 40,850 | 2.0425 |
| Specific embedded emissions | 43,250 | 2.1625 |
The importer declares 6,488 tonnes of embedded emissions on its 3,000 tonnes. That figure is the base for everything that follows: the certificates actually surrendered are reduced by the adjustment for free allocation in the EU ETS and by any carbon price effectively paid in the country of origin, and in the early years of the definitive period the free-allocation adjustment removes most of the obligation. It falls away completely by 2034. At an illustrative certificate price of 80 euros, the full exposure on this volume once free allocation has gone is 519,000 euros, or 173.00 per tonne of fasteners, and the cost to model is that one, not the 2026 bill. How the obligation steps up year by year is worked in how much CBAM will cost per tonne of steel from 2026 to 2034.
The fastener plant's own furnaces account for 0.12 of the 2.1625. A decarbonisation plan that starts at the fastener plant is working on 5.5 per cent of the number; the supplier choice works on the rest.
Hold the fastener plant constant and change only the wire rod: an electric arc furnace supplier, the current blast furnace supplier, and no supplier data at all, which forces a default value. Default values under Annex IV are country averages increased by a mark-up; the 2.30 here is illustrative.
| Wire rod source | Precursor SEE | Product SEE | Embedded on 3,000 t | Cost at 80 euros |
|---|---|---|---|---|
| Electric arc furnace supplier | 0.60 | 0.7650 | 2,295.0 | 183,600 |
| Blast furnace supplier, actual data | 1.90 | 2.1625 | 6,487.5 | 519,000 |
| No data, illustrative default | 2.30 | 2.5925 | 7,777.5 | 622,200 |
Each 0.10 on the precursor moves the product by 0.1075, because the yield loss multiplies it: 322.5 tonnes on this import volume. Getting the supplier's actual data instead of the default is worth 1,290 tonnes, or 103,200 euros at full exposure. Switching supplier route is worth 4,192.5 tonnes, or 335,400 euros, more than three times as much.
The quarterly cash profile, the certificate buffer and a blank model for your own imports are in the free workbook for this book.
No. For iron and steel, aluminium and hydrogen only direct emissions are counted during the definitive period; the emissions of the electricity consumed are not added. In the worked case, adding the 1,600 tonnes of electricity emissions would overstate the SEE by 0.08 tonnes per tonne, or 240 tonnes on 3,000 tonnes imported. Cement and fertilisers do include indirect emissions.
The precursor, or the good, falls back on a default value, which Annex IV sets at a country average increased by a mark-up. With an illustrative default of 2.30 for the wire rod instead of the supplier's actual 1.90, the fastener SEE rises from 2.1625 to 2.5925 and the import carries 1,290 more tonnes, 103,200 euros at an illustrative 80 euros once free allocation has gone.
The precursor consumed. The plant used 21,500 tonnes of wire rod to make 20,000 tonnes of fasteners, and the emissions of the offcuts were incurred all the same. Counting 20,000 tonnes one for one gives an SEE of 2.0200 instead of 2.1625 and under-declares 428 tonnes on a 3,000 tonne import.
This article is one calculation from The CBAM Compliance Handbook. The book takes the same case from first principles to the decision, chapter by chapter, and every figure it prints is a live formula in the free companion workbooks.
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