Applying the System Asset Pricing Model
Decision Accounting
Applying the System Asset Pricing Model to Fossil Fuels: Measuring the System Welfare Cost of Global Oil and Gas Extraction
core-claim
Core claim
Oil and gas destroys $1.63 in welfare per dollar of revenue
The global oil and gas industry generates 3.5 trillion/year in private revenue but imposes 5.7 trillion/year in system welfare costs through climate damages, air pollution, methane leakage, governance distortion, and stranded-asset risk. The system beta is 1.63 [90% CI: 1.3–2.0], meaning each dollar of annual industry revenue costs society $1.63.
- System-adjusted payoff = −$2.2 trillion/year — the industry is a net welfare destroyer
- Break-even mitigation rate μ* = 0.84: industry must eliminate 84% of externalities to break even
- Based on EPA 2023 SCC (190/tCO₂) and SC-CH₄ (1,600/tCH₄)
sapm-framework
SAPM framework
System Asset Pricing Model prices welfare covariance like CAPM prices market risk
The SAPM maps CAPM constructs directly: private payoff replaces asset return, system welfare replaces market return, system beta replaces market beta. The system pricing identity: ΠSA = Π − βW · SW · Π.
- CAPM: E[rᵢ] = rf + βᵢ(E[rm] − rf)
- SAPM: ΠSA = Π − βW · SW · Π
- Oil & gas calibration: Π = 3.5T, βW = 1.63, ΠSA = −2.2T
six-channels
Six channels
Climate damages alone exceed industry revenue by $140 billion per year
The six welfare-cost channels are: CO₂ climate damages (3.52T), methane operational damages (128B), air pollution health burdens (77B domestic, 2.9T global), oil spills and ecosystem degradation, governance distortion (resource curse), and stranded-asset risk ($1–4T present value). Climate carries 72% of total weight.
- CO₂ combustion: 18.5 GtCO₂/year × 190/t = 3.52T
- Methane leakage: 80–130 MtCH₄/year × 1,600/t = 128–208B
- Air pollution: 7,500 US deaths/year from production phase alone
monte-carlo
Monte Carlo
System beta 90% confidence interval: 1.3 to 2.0, no draw below 1.24
A 100,000-draw Monte Carlo simulation across all six channels yields a channel-weighted average system beta of 1.63. The 90% CI is [1.3, 2.0]; the probability that βW < 1 is 0.0000%.
- Median βW = 1.63; 90% CI = [1.3, 2.0]
- Climate channel carries 72% of total weight
- Governance channel (4% weight) has widest confidence intervals
pigou-coase
Pigou/Coase failure
Pigouvian taxes and Coasean bargaining cannot solve oil and gas externalities
Three structural failures: (1) the externality is a cascade of interacting damages across all time scales; (2) property rights over the atmosphere are undefined and transaction costs are astronomical; (3) the industry's political influence — 124–150M/year in US lobbying, 7T/year in global subsidies — destroys any Pigouvian instrument before it can work.
- ExxonMobil internal scientists predicted 0.20°C/decade warming as early as 1977 while public communications stated uncertainty
- OPEC+ cartel extracts ~$730B/year in artificial rents, shielded by sovereign immunity
- The Inflation Reduction Act's methane fee existed for ~14 months before being nullified by the Congressional Review Act
cooperative-baseline
Cooperative baseline
IEA Net Zero scenario implies 90% revenue contraction for oil and gas
Under the IEA's NZE 2050 scenario, oil production falls to 24 mb/d (from 100 mb/d) at 25/barrel, yielding cooperative baseline revenue ΠC ≈ 350B/year — a 90% drop from current 3.5T. This implies 1–4 trillion in stranded upstream assets.
- Residual oil: 24 mb/d × 25/bbl = ~220B/year
- Residual natural gas: 900 bcm at ~30/bcm = ~130B/year
- Stranded asset risk concentrated on sovereign balance sheets (IMF 2024)
methane
Methane verification
Satellite data show methane emissions 50–100% above industry inventories
MethaneSAT, TROPOMI, and GHGSat data reveal that global oil and gas methane emissions are 50–100% higher than bottom-up inventories (EDGAR, EPA). In the Permian basin, emissions were four times official estimates. This adds $128–520B/year in previously unpriced climate damages.
- Alvarez et al. (2018): US O&G methane 60% higher than EPA inventories
- Carbon Mapper identified 18 'ultra-persistent' facilities in Permian with GHG impact of 1.7M passenger vehicles
- EPA Super-Emitter Response Program (2024) allows satellite-based detection but implementation delayed to 2027
psf-concavity
PSF concavity
Marginal welfare destruction accelerates sharply beyond 40 mb/d production
The Pareto System Frontier (PSF) exhibits steep concavity (κ = 2.3): marginal welfare cost per barrel rises rapidly as production exceeds the cooperative baseline. Current production at 100 mb/d sits deep in the convex-loss region, far from the efficient frontier.
- κ = 2.3: damages accelerate non-linearly with production
- Marginal beta > average beta (1.63) at current operating point
- Average externality ratios do not identify marginal welfare cost of additional extraction
cross-domain
Cross-domain comparison
Oil and gas ranks among top welfare destroyers in SAPM taxonomy
With βW = 1.63, oil and gas falls in the 'moderate extraction' tier — above Bitcoin (βW = 0.84) in absolute welfare cost, below PFAS (βW = 0.84) in welfare intensity, and comparable to monoculture agriculture. The SAPM enables direct welfare-cost comparison across 69 domains.
- Absolute welfare cost: ~$5.7T/year — largest by absolute magnitude
- Welfare intensity (βW): 1.63 — moderate among calibrated domains
- Cross-domain comparability via dimensionless system beta
policy-threshold
Policy threshold
Any policy package must eliminate 84% of externalities to make oil and gas welfare-positive
The break-even mitigation rate μ* = 0.84 means that even if the industry eliminates 83% of its current externalities, it remains a net welfare destroyer. This provides a quantitative target for regulatory design: a carbon price, methane fee, and governance reforms must collectively achieve 84% abatement.
- μ* = 0.84 derived from ΠSA = Π(1 − βW) = 0
- Current system-adjusted payoff: −$2.2T/year
- Cooperative baseline ΠC = $350B/year implies 90% production reduction needed
what-changes
What changes
The SAPM reframes the question from 'what tax rate?' to 'what is the welfare ratio?'
Instead of asking what Pigouvian tax internalizes the externality (a question that presupposes a functioning regulatory apparatus), the SAPM measures the ratio of total system welfare cost to total private payoff — a descriptive statistic that does not depend on any particular policy instrument. This enables institutional diagnosis and cross-domain comparison.
- The framework does not presuppose that extraction should cease — it measures the cost of the current configuration
- If the industry eliminates 84% of externalities, system-adjusted payoff turns positive
- Five converging literatures (climate economics, satellite methane, stranded assets, resource curse, energy transition) all point to the same conclusion: the ratio is six to one