Multiple sources now converge on a measurable productivity impact from AI. But the actual gains depend on a critical variable: task complementarity.
The Estimates

| Source | Methodology | Estimate |
|---|---|---|
| Richmond Fed (optimistic) | Full AI adoption, no constraints | 7% |
| Anthropic (baseline) | Measured task speedup extrapolation | 1.8pp |
| Anthropic (success-adjusted) | Conservative adjustment for errors | 1.0-1.2pp |
| Lombard Odier | Macro-economic modeling | +0.25pp |
| Penn Wharton (conservative) | Limited task automation scope | 0.2pp |
The baseline Anthropic estimate of 1.8pp would return US productivity growth to late-1990s levels—the last time America experienced a sustained productivity boom.
The Elasticity Question
The economic variable σ (sigma) measures whether AI tasks complement or substitute for human tasks:
If σ < 1 (Complements): Productivity constrained to 0.6-0.8pp
- AI makes certain tasks faster, but humans still do the rest
- Time savings don’t translate to headcount reduction or output increase
- Example: AI makes lesson planning 12x faster, but teachers still spend the same time in classrooms
If σ = 1 (Baseline): Productivity reaches 1.8pp
- AI time savings translate proportionally to productivity gains
- Organizations capture the efficiency
If σ > 1 (Substitutes): Productivity rises to 2.2-2.6pp
- AI handles entire task chains end-to-end
- Humans freed for other work or headcount reduced
- Approaches late-1990s productivity boom levels
The Complement Trap
The teacher example matters. Faster lesson planning doesn’t automatically mean fewer teachers or more students per teacher. The time savings might just disappear into the existing structure.
Whether we’re in complement or substitute territory will determine if this is a modest productivity boost or a structural economic transformation.
This is part of a comprehensive analysis. Read the full analysis on The Business Engineer.









