Pre-registration
Forced-saving pension systems (mandatory defined-contribution or provident funds with significant asset accumulation) raise capital deepening (capital per worker) and support catch-up real GDP per worker growth in developing and emerging economies, but do not guarantee frontier total factor productivity growth, in a broad-country panel 1980-2020. The directional claim is that a 10-percentage-point increase in pension-fund assets under management as a share of GDP predicts a 5-15% increase in capital per worker over the following decade, with the effect on TFP growth insignificant or smaller than the capital-deepening effect.
Falsification criterion — what would disprove this
This hypothesis is considered falsified if:
SUPPORTED if β1 (pension assets) is positive and significant at p<0.10 for capital-per-worker growth, AND is insignificant or materially smaller for TFP growth. PARTIAL if positive and significant for both but the capital-deepening coefficient is at least twice the TFP coefficient. REFUTED if β1 is negative and significant for capital per worker, or if β1 is positive and significant for TFP growth with no capital-deepening effect (suggesting a spurious correlation). INFORMATIVE: the result should survive excluding Singapore and Chile; if not, it is a two-country story.
formal test & threshold
test: panel_fe_decomposition_pension_assets_capital_deepening_vs_tfp threshold: β_pension_assets (capital per worker) > 0 at p<=0.10 AND β_pension_assets (TFP) p >= 0.10 or |β_tfp| < 0.5 × |β_capital| AND Ex-Singapore-Chile robustness retains sign of β_pension_assets for capital.
Method
- Template
panel_fe_decomposition- Fixed effects
country, year- Clustering
country- Sample
- 66 countries · 1980 – 2020
- Evidence type
- associational
Two-way FE panel with decomposition: capital per worker growth = β0 + β1*pension_assets + controls + FE. TFP growth regressed separately. Mechanism decomposition via domestic investment and stock-market capitalisation channels. Robustness: (1) IV for pension assets using year-of-pension-reform indicators (major DC reforms: Chile 1981, Australia 1992, etc.); (2) subsample by income level (catch-up vs frontier); (3) exclude Singapore and Chile (dominant forced-saving cases).
Data
| Variable | Source | Transform |
|---|---|---|
capital_per_worker_growth outcome | pwt:rnnatier 3 | annual_log_change_per_worker |
total_factor_productivity_growth outcome | pwt:rtfpnatier 3 | annual_log_change |
real_gdp_per_worker_growth outcome | pwt:rgdpotier 3 | annual_log_change_per_worker |
pension_fund_assets_pct_gdp treatment | oecd:pension_fund_assetstier 2 | level |
forced_saving_mandatory_contribution_rate treatment | ilo:social_security_contribution_ratetier 2 | level |
domestic_investment_share channel | world_bank_wdi:NE.GDI.TOTL.ZStier 2 | level |
stock_market_capitalisation channel | world_bank_wdi:GFDD.DM.02tier 2 | pct_gdp |
initial_log_gdp_per_worker control | pwt:rgdpotier 3 | log |
institutional_quality control | wgi:RL.ESTtier 4 | level |
financial_depth control | world_bank_wdi:GFDD.DI.14tier 2 | level |
trade_openness control | world_bank_wdi:NE.TRD.GNFS.ZStier 2 | level |
population_growth control | world_bank_wdi:SP.POP.GROWtier 2 | level |
old_age_dependency_ratio control | world_bank_wdi:SP.POP.65UP.TO.ZStier 2 | level |
● ready · ● pending · ● reconstruct-needed
Detailed result card
Result card — pension_forced_saving_capital_deepening
Verdict: PARTIAL — coef=+0.00205, p=0.152 (above α=0.1); direction inconclusive
Pre-registration
- Claim: Forced-saving pension systems (mandatory defined-contribution or provident funds with significant asset accumulation) raise capital deepening (capital per worker) and support catch-up real GDP per worker growth in developing and emerging economies, but do not guarantee frontier total factor productivity growth, in a broad-country panel 1980-2020. The directional claim is that a 10-percentage-point increase in pension-fund assets under management as a share of GDP predicts a 5-15% increase in capital per worker over the following decade, with the effect on TFP growth insignificant or smaller than the capital-deepening effect.
- Falsification rule: SUPPORTED if β1 (pension assets) is positive and significant at p<0.10 for capital-per-worker growth, AND is insignificant or materially smaller for TFP growth. PARTIAL if positive and significant for both but the capital-deepening coefficient is at least twice the TFP coefficient. REFUTED if β1 is negative and significant for capital per worker, or if β1 is positive and significant for TFP growth with no capital-deepening effect (suggesting a spurious correlation). INFORMATIVE: the result should survive excluding Singapore and Chile; if not, it is a two-country story.
- Falsification test: panel_fe_decomposition_pension_assets_capital_deepening_vs_tfp
Estimate
- Method: linearmodels.PanelOLS
- Coefficient (treatment): +0.00205
- Std error: 0.00143
- p-value: 0.152
- Observations: 1060, countries: 60
- Within R²: 0.267
- Fixed effects: entity=True, time=True
- Clustering: country
Variables resolved
pwt:rtfpna→ total_factor_productivity_growth (outcome, publisher=pwt, n=6407)pwt:rgdpo→ real_gdp_per_worker_growth (outcome, publisher=pwt, n=10399)world_bank_wdi:NE.GDI.TOTL.ZS→ domestic_investment_share (decomposition_channels, publisher=world_bank_wdi, n=10428)pwt:rgdpo→ initial_log_gdp_per_worker (controls, publisher=pwt, n=10399)wgi:RL.EST→ institutional_quality (controls, publisher=wgi, n=5296)world_bank_wdi:GFDD.DI.14→ financial_depth (controls, publisher=world_bank_wdi, n=6564)world_bank_wdi:NE.TRD.GNFS.ZS→ trade_openness (controls, publisher=world_bank_wdi, n=10714)world_bank_wdi:SP.POP.GROW→ population_growth (controls, publisher=world_bank_wdi, n=16672)
Variables missing data
pwt:rnna(outcome, name=capital_per_worker_growth) — vintage not on diskoecd_pension_statistics:pension_fund_assets(treatment, name=pension_fund_assets_pct_gdp) — vintage not on diskilo:social_security_contribution_rate(treatment, name=forced_saving_mandatory_contribution_rate) — vintage not on diskworld_bank_wdi:GFDD.DM.02(decomposition_channels, name=stock_market_capitalisation) — vintage not on diskworld_bank_wdi:SP.POP.65UP.TO.ZS(controls, name=old_age_dependency_ratio) — vintage not on disk
Generated by scripts/run_panel_fe.py at 2026-06-29T17:52:30+00:00
Strongest opposing argument
Every hypothesis ships with its charitable opposing argument. The framework earns credibility by handling objections at their strongest, not weakest.
Notes
Data readiness: - OECD Pension Statistics fund assets (ready) - ILO Social Security contribution rates (pending) - PWT rnna, rtfpna, rgdpo, persons engaged (ready) - WDI financial depth, trade openness, population, old-age dependency (ready) - WGI RL.EST (ready)