Submitted:
04 August 2026
Posted:
06 August 2026
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Abstract
Keywords:
1. Introduction
1.1. Contribution to the Literature
2. Literature Review and Hypothesis Development
2.1. Historical Evolution and Conceptual Formulation
2.2. Theoretical Models Linking DeFi to Inclusion and Stability
2.2.1. Financial Intermediation Theory
2.2.2. Bank Stability, Franchise Value, and Liquidity Insurance
2.2.3. Technology-of-Financial-Services Framework
2.2.4. Regulatory Arbitrage and Shadow Banking
2.2.5. Digital Financial Inclusion and Technology Adoption Theories
2.2.6. Financial Development and Institutional Theory
2.2.7. Non-Linear Threshold Effects and Regime Switching
2.2.8. Integrated Theoretical Framework
2.3. Empirical Evidence
2.4. Literature Gap Matrix
2.5. Hypothesis Development
3. Methodology and Study Design
3.1. Research Design and Variable Operationalization
3.1.1. Variable Definition and Justification
3.2. Population, Sample, and Data Sources
3.3. Statistical Testing of Hypotheses
3.4. Missing-Data Pattern and Unbalancedness
3.5. Threats to Inference and Their Treatment
4. Empirical Results
4.1. Descriptive Statistics and Correlation Structure
4.2. Panel Unit-Root Diagnostics
4.3. Two-Way Fixed-Effects Results (Multicollinearity-Corrected)
4.4. Synthesis of Estimator Results for H1 and H2
4.5. Reconciling the DeFi → FII Estimates Across Estimators
4.6. Two-Step System GMM with Diagnostics
4.7. Structural Equation Model with Mediation
4.8. Panel Smooth Transition Regression with Bootstrap Inference
4.8.1. Monte Carlo Statistical Power of the Threshold Test
4.9. Robustness Checks
4.9.1. Balanced 2015–2021 Sub-Sample
4.9.2. Alternative Transition Variables
4.9.3. Leave-One-Country-Out Sensitivity
4.9.4. Discussion of Additional Robustness Considerations
4.10. Summary of Hypothesis Tests
5. Discussion
5.1. The Negative DeFi–NPL Association: The Most Robust Finding
5.2. The DeFi–Inclusion Association: Estimator-Sensitive Evidence
5.3. The Threshold Finding: Suggestive but Not Conclusive
5.4. Comparison with Prior Studies
5.5. Limitations
6. Conclusions and Recommendations
6.1. Summary of Aims and Research Questions
6.2. Synthesis of Main Findings
6.3. Significance and Contribution to the Literature
6.4. Actionable Recommendations
6.4.1. Recommendations for Policymakers and Regulatory Authorities
6.4.2. Recommendations for Financial Institutions and Industry Practitioners
6.4.3. Recommendations for Professional Associations and Standard-Setting Bodies
6.5. Future Research Directions
6.6. Closing Statement
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AMM | Automated Market Maker |
| BRICS | Brazil, Russia, India, China, South Africa |
| CBDC | Central Bank Digital Currency |
| CFI | Comparative Fit Index |
| CPI | Consumer Price Index |
| DeFi | Decentralized Finance |
| FE | Fixed Effects |
| FII | Financial Inclusion Index |
| GMM | Generalized Method of Moments |
| GDP | Gross Domestic Product |
| GFDD | Global Financial Development Database |
| IMF | International Monetary Fund |
| L-BFGS-B | Limited-memory Broyden-Fletcher-Goldfarb-Shanno with Bounds |
| MENA | Middle East and North Africa |
| ML | Maximum Likelihood |
| NPL | Non-Performing Loan |
| OIC | Organization of Islamic Cooperation |
| PPP | Purchasing Power Parity |
| PSTR | Panel Smooth Transition Regression |
| RMSEA | Root Mean Square Error of Approximation |
| SEM | Structural Equation Modelling |
| UAE | United Arab Emirates |
| UTAUT | Unified Theory of Acceptance and Use of Technology |
| VIF | Variance Inflation Factor |
| WDI | World Development Indicators |
Appendix A
| Country | z_score | npl | crypto_adoption_idx | defi_sub_idx | fii | account_ownership | digital_payment | borrowed_formal | credit_gdp | ln_gdp_pc | inflation | internet_users | trade_openness |
| Brazil | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Russia | ✓ (2015 - 2021) |
✓ (2015-2021) | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| India | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| China | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| South Africa | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Egypt | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Ethiopia | ✓ (2015 - 2022) |
✓ (2015-2022) | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Iran | ✓ (2015 - 2019) |
✓ (2015-2019) | ✓ | ✓ | ✓ (2015-2021) | ✓ (2015 - 2021) |
✓ (2015 - 2021) |
✓ (2015 - 2021) |
✓ | ✓ | ✓ | ✓ | ✓ |
| Saudi Arabia | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| UAE | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
| Note: ✓ indicates complete data for the full 2015-2024 period. | |||||||||||||
| Path | Effect | Std. Error | 95% CI Lower | 95% CI Upper | p-value |
| DeFi → FII → Z-score | -0.027 | 0.016 | -0.058 | 0.004 | 0.092 |
| DeFi → FII → NPL | 0.034 | 0.019 | -0.003 | 0.071 | 0.072 |
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| Study | FinTech | DeFi | Inclusion | Stability | Threshold | BRICS/BRICS+ |
| Nguyen & Dang [56] | ✓ | ✗ | ✗ | ✓ | ✗ | ✗ |
| Banna et al. [27] | ✓ | ✗ | ✓ | ✓ | ✗ | ✗ |
| Uddin & Barai [24] | ✓ | ✗ | ✗ | ✓ | ✗ | ✗ |
| Abdelkader et al. [26] | ✓ | ✗ | ✗ | ✓ | ✗ | ✓ (BRICS) |
| Aquilina et al. [37] | ✓ | ✓ | ✗ | ✓ | ✗ | ✗ |
| Sebai et al. [57] | ✗ | ✗ | ✓ | ✓ | ✓ | ✗ |
| Saidi [65] | ✓ | ✗ | ✓ | ✓ | ✗ | ✗ |
| Current Study | ✓ | ✓ | ✓ | ✓ | ✓ | ✓(BRICS Plus) |
| Variable | Definition | Source | Theoretical Justification |
| Bank Z-score | Natural log of (equity/assets + ROA) / SD(ROA) | World Bank GFDD.SI.01 | Bank stability proxy [44,45] |
| NPL ratio | Non-performing loans / total gross loans (%) | World Bank GFDD.SI.02 / IMF FSI | Asset-quality stability proxy [46] |
| Crypto adoption index | Chainalysis Global Crypto Adoption Index (0–1 normalized) | Chainalysis (2020–2025) | DeFi penetration proxy [3,4] |
| DeFi sub-index | Retail DeFi-protocol value received, PPP-weighted (0–1) | Chainalysis (2020–2025) | DeFi-specific adoption measure [4] |
| Financial Inclusion Index (FII) | Sarma [39] multidimensional index (0–1) | Global Findex (2011–2025) | Inclusion construct [38,39,43] |
| Log GDP per capita | Log of GDP per capita (PPP, constant 2017 USD) | World Bank WDI | Economic development control [51] |
| CPI inflation | Annual CPI growth rate (%) | World Bank WDI | Macroeconomic stability control |
| Domestic credit/GDP | Private credit by banks / GDP (%) | World Bank WDI | Financial development control |
| Internet users | Individuals using the internet (% population) | World Bank WDI | Digital infrastructure control [17] |
| Trade openness | (Exports + Imports) / GDP (%) | World Bank WDI | Openness control |
| Variable | VIF (both DeFi measures) | VIF (one at a time) | Action |
| Crypto adoption index | 20.4 | 1.34 | Entered one at a time |
| DeFi sub-index | 19.6 | 1.31 | Entered one at a time |
| FII | 3.12 | 3.08 | Retained |
| Log GDP per capita | 4.87 | 4.82 | Retained |
| CPI inflation | 1.45 | 1.44 | Retained |
| Domestic credit/GDP | 2.31 | 2.29 | Retained |
| Internet users | 4.65 | 4.61 | Retained |
| Trade openness | 1.78 | 1.76 | Retained |
| *Mean VIF* | *7.15* | *2.71* | — |
| Variable | N | Mean | SD | Min | Max |
| Z-score | 90 | 15.131 | 7.540 | 2.31 | 27.92 |
| NPL | 90 | 4.690 | 2.847 | 1.20 | 12.50 |
| Crypto adoption index | 100 | 0.136 | 0.202 | 0.000 | 1.000 |
| DeFi sub-index | 100 | 0.111 | 0.190 | 0.000 | 0.950 |
| FII | 94 | 0.494 | 0.238 | 0.011 | 0.964 |
| Account ownership (%) | 94 | 70.642 | 21.344 | 14.10 | 94.85 |
| Digital payment (%) | 94 | 52.506 | 25.510 | 6.00 | 90.30 |
| Credit/GDP (%) | 100 | 67.089 | 38.831 | 22.30 | 190.50 |
| Log GDP per capita | 100 | 9.756 | 0.885 | 7.669 | 11.249 |
| Inflation (%) | 100 | 9.219 | 10.873 | −2.09 | 45.80 |
| Internet users (%) | 100 | 66.754 | 24.112 | 11.60 | 100.00 |
| Trade openness (%) | 100 | 57.044 | 42.057 | 24.00 | 195.00 |
| Variable | Z-score | NPL | Crypto | DeFi sub | FII | Account | Digital | Credit/GDP | Log GDP | Inflation | Internet | Trade |
| Z-score | 1 | −0.66 | 0.11 | 0.12 | 0.19 | 0.37 | 0.39 | 0.62 | 0.45 | −0.56 | 0.40 | 0.29 |
| NPL | −0.66 | 1 | −0.15 | −0.18 | 0.31 | 0.16 | 0.08 | −0.34 | 0.00 | 0.18 | −0.11 | 0.14 |
| Crypto adoption | 0.11 | −0.15 | 1 | 0.97 | 0.16 | 0.25 | 0.17 | 0.08 | 0.02 | −0.05 | 0.18 | 0.05 |
| DeFi sub-index | 0.12 | −0.18 | 0.97 | 1 | 0.15 | 0.23 | 0.17 | 0.09 | 0.03 | −0.05 | 0.17 | 0.06 |
| FII | 0.19 | 0.31 | 0.16 | 0.15 | 1 | 0.90 | 0.94 | 0.39 | 0.61 | −0.13 | 0.66 | 0.34 |
| Account ownership | 0.37 | 0.16 | 0.25 | 0.23 | 0.90 | 1 | 0.89 | 0.54 | 0.57 | −0.34 | 0.58 | 0.35 |
| Digital payment | 0.39 | 0.08 | 0.17 | 0.17 | 0.94 | 0.89 | 1 | 0.58 | 0.70 | −0.27 | 0.75 | 0.41 |
| Credit/GDP | 0.62 | −0.34 | 0.08 | 0.09 | 0.39 | 0.54 | 0.58 | 1 | 0.32 | −0.40 | 0.28 | 0.05 |
| Log GDP per capita | 0.45 | 0.00 | 0.02 | 0.03 | 0.61 | 0.57 | 0.70 | 0.32 | 1 | −0.39 | 0.91 | 0.68 |
| Inflation | −0.56 | 0.18 | −0.05 | −0.05 | −0.13 | −0.34 | −0.27 | −0.40 | −0.39 | 1 | −0.23 | −0.33 |
| Internet users | 0.40 | −0.11 | 0.18 | 0.17 | 0.66 | 0.58 | 0.75 | 0.28 | 0.91 | −0.23 | 1 | 0.55 |
| Trade openness | 0.29 | 0.14 | 0.05 | 0.06 | 0.34 | 0.35 | 0.41 | 0.05 | 0.68 | −0.33 | 0.55 | 1 |
| Variable | MW χ² | p-value | N (countries) |
| Z-score | 25.442 | 0.185 | 10 |
| NPL | 47.723 | 0.0005 | 10 |
| Crypto adoption index | 123.176 | 0.000 | 10 |
| FII | 68.859 | 0.000 | 10 |
| Credit/GDP | 18.498 | 0.555 | 10 |
| Log GDP per capita | 77.424 | 0.000 | 10 |
| Inflation | 97.099 | 0.000 | 10 |
| Dependent variable | DeFi measure | Coefficient | SE | p-value | N | R² (within) |
| Z-score | Crypto adoption index | −0.608 | 1.757 | 0.731 | 90 | −0.027 |
| Z-score | DeFi sub-index | −0.185 | 1.673 | 0.912 | 90 | −0.103 |
| NPL | Crypto adoption index | −5.385 | 1.846 | 0.005 | 90 | 0.449 |
| NPL | DeFi sub-index | −5.857 | 2.014 | 0.005 | 90 | 0.396 |
| Hypothesis / Channel | Estimator | Coefficient | SE | p-value | Interpretation |
| H1 (DeFi → FII) | Two-way FE | +0.155 | 0.098 | 0.119 | Not significant |
| H1 (DeFi → FII) | SEM (standardized) | +0.146 | 0.076 | 0.054 | Marginally significant |
| H1 (DeFi → FII) | System GMM | −0.046 | 0.017 | 0.007 | Significant, sign reversed |
| H2 (DeFi → Z-score, direct) | Two-way FE | −0.608 | 1.757 | 0.731 | Not significant |
| H2 (DeFi → Z-score, direct) | SEM (standardized) | +0.117 | 0.070 | 0.098 | Not significant |
| H2 (DeFi → Z-score, direct) | System GMM | +0.036 | 0.129 | 0.780 | Not significant |
| H2 (DeFi → Z-score, threshold) | PSTR low regime | −2.054 | — | — | Suggestive; b₀ + b₁ = +2.08 |
| H2 (DeFi → Z-score, threshold) | PSTR linearity F | F = 2.60 | — | 0.057 | Fails to reject at 5% |
| Auxiliary (DeFi → NPL) | Two-way FE | −5.385 | 1.846 | 0.005 | Significant, negative |
| Auxiliary (DeFi → NPL) | SEM (standardized) | −0.229 | 0.080 | 0.004 | Significant, negative |
| Auxiliary (DeFi → NPL) | System GMM | −1.141 | 0.302 | <0.001 | Significant, negative |
| Model | N | AR(1) p | AR(2) p | Hansen J | Hansen J p | N (instruments) |
| M1: FII equation | 64 | 0.001 | 0.904 | 0.049 | 0.976 | 3 |
| M2: Z-score equation | 60 | 0.342 | 0.960 | 4.503 | 0.212 | 5 |
| M3: NPL equation | 60 | 0.001 | 0.764 | 2.478 | 0.479 | 5 |
| Path | Operator | Estimate | SE | z-value | p-value |
| FII ← Crypto adoption | ~ | 0.146 | 0.076 | 1.925 | 0.054 |
| FII ← Log GDP per capita | ~ | 0.599 | 0.085 | 7.069 | 0.000 |
| FII ← Inflation | ~ | 0.095 | 0.090 | 1.058 | 0.290 |
| FII ← Credit/GDP | ~ | 0.276 | 0.084 | 3.300 | 0.001 |
| Z-score ← Crypto adoption | ~ | 0.117 | 0.071 | 1.656 | 0.098 |
| Z-score ← FII | ~ | −0.450 | 0.097 | −4.656 | 0.000 |
| Z-score ← Log GDP per capita | ~ | 0.553 | 0.091 | 6.101 | 0.000 |
| Z-score ← Credit/GDP | ~ | 0.637 | 0.076 | 8.340 | 0.000 |
| NPL ← Crypto adoption | ~ | −0.229 | 0.079 | −2.896 | 0.004 |
| NPL ← FII | ~ | 0.795 | 0.108 | 7.352 | 0.000 |
| NPL ← Log GDP per capita | ~ | −0.343 | 0.101 | −3.392 | 0.001 |
| NPL ← Credit/GDP | ~ | −0.549 | 0.085 | −6.440 | 0.000 |
| Parameter | Estimate |
| γ (smoothness) | 80.0 |
| ĉ (threshold on FII) | 0.6414 |
| b̂₀ (low-regime slope) | −2.0536 |
| b̂₁ (regime add-on) | 4.1378 |
| b̂₀ + b̂₁ (high-regime slope) | 2.0843 |
| F-test (linearity) | 2.604 |
| p-value | 0.0573 |
| RSS (linear) | 73.103 |
| RSS (PSTR) | 66.816 |
| N | 90 |
| Parameter | Point estimate | 90% CI lower | 90% CI upper | 95% CI lower | 95% CI upper |
| ĉ (threshold) | 0.6414 | 0.315 | 0.844 | 0.242 | 0.860 |
| b̂₀ (low regime) | −2.054 | −15.019 | 3.108 | −18.980 | 13.100 |
| b̂₁ (regime add-on) | 4.138 | −5.975 | 30.000 | −10.260 | 30.000 |
| b̂₀ + b̂₁ (high regime) | 2.084 | −5.414 | 30.201 | −6.611 | 31.095 |
| Significance level (α) | Estimated power |
| 0.10 | 0.384 |
| 0.05 | 0.248 |
| 0.01 | 0.114 |
| Transition variable | γ | ĉ | b̂₀ | b̂₁ | F (linearity) | p-value |
| Financial Inclusion Index | 80.0 | 0.641 | −2.054 | 4.138 | 2.604 | 0.057 |
| Log GDP per capita (PPP) | 80.0 | 9.879 | −2.631 | 5.646 | 7.336 | 0.0002 |
| Internet users (%) | 4.65 | 93.13 | −1.815 | 3.813 | 1.352 | 0.263 |
| Bank credit/GDP | 20.0 | 151.81 | −0.863 | 9.789 | 2.540 | 0.062 |
| Excluded country | ĉ | b̂₀ | b̂₁ | b̂₀ + b̂₁ |
| Brazil | 0.571 | −0.356 | 3.123 | 2.767 |
| China | 0.844 | −0.737 | 30.000 | 29.263 |
| Egypt | 0.642 | −2.057 | 4.072 | 2.015 |
| Ethiopia | 0.640 | −2.512 | 4.156 | 1.644 |
| India | 0.621 | −5.735 | 7.599 | 1.864 |
| Iran | 0.641 | −2.207 | 4.144 | 1.937 |
| Russia | 0.649 | −2.067 | 4.348 | 2.281 |
| Saudi Arabia | 0.641 | −2.274 | 4.174 | 1.900 |
| South Africa | 0.644 | −1.647 | 3.620 | 1.973 |
| UAE | 0.826 | −2.537 | 30.000 | 27.464 |
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