Submitted:
23 June 2026
Posted:
24 June 2026
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Abstract
Keywords:
1. Introduction
2. Literature Review and Research Gap
2.1. Theoretical Background
2.2. Empirical Evidence
2.3. Problem Statement and Research Gap
3. Research Objectives and Questions
3.1. Research Objectives
3.2. Research Questions
4. Hypotheses
5. Data and Variables
5.1. Sample and Data Sources
| Variable | Indicator | Type | Proxy / Code | Expected Sign |
|---|---|---|---|---|
| Z-Score | Bank Z-score | DV1 | GFDD.SI.01 | N/A (stability) |
| NPL Ratio | Nonperforming loans to gross loans (%) | DV2 | GFDD.SI.02 | N/A (instability) |
| EXR_VOL | GARCH(1,1) conditional variance of monthly REER | Main IV | BIS EER Broad | (−) Z-score; (+) NPL |
| GDP_GR | GDP growth rate (annual %) | Control | NY.GDP.MKTP.KD.ZG | (+) Z; (−) NPL |
| INFL | CPI inflation (annual %) | Control | FP.CPI.TOTL.ZG | (−) Z; (+) NPL |
| TRADE | Trade openness (% GDP) | Control | NE.TRD.GNFS.ZS | (+/−) ambiguous |
| PVCREDIT | Domestic credit to private sector (% GDP) | Control | FS.AST.PRVT.GD.ZS | (+) Z |
| RINT | Real interest rate (%) | Control | FR.INR.RINR | (−) Z; (+) NPL |
| CAPRATIO | Bank capital to assets ratio (%) | Control | GFDD.SI.05 | (+) Z; (−) NPL |
| ROL | Rule of law estimate | Moderator | RL.EST | (+) Z; (−) NPL |
| REGQUAL | Regulatory quality estimate | Moderator | RQ.EST | (+) Z; (−) NPL |
6. Methodology
6.1. Econometric Strategy Overview
| Step | Procedure | Test / Estimator |
|---|---|---|
| 1 | EXR volatility construction | GARCH(1,1) on monthly REER |
| 2 | Cross-sectional dependence | Pesaran CD test |
| 3 | Panel unit root (2nd gen.) | CIPS & CADF |
| 4 | Panel cointegration | Westerlund (2007) ECM test |
| 5a | Long-run estimation | FMOLS |
| 5b | Dynamic panel (endogeneity) | Two-step System GMM |
| 6 | Distributional heterogeneity | MMQR |
| 7 | Causality | Dumitrescu–Hurlin panel causality |
6.2. Measurement of Exchange Rate Volatility
6.3. Cross-Sectional Dependence
6.4. Panel Unit Root (Second Generation)
6.5. Panel Cointegration
6.6. Long-Run Estimation: FMOLS
6.7. Dynamic Panel: Two-Step GMM
6.8. Method of Moments Quantile Regression
6.9. Moderation Analysis
6.10. Panel Causality
7. Empirical Results and Discussion
7.1. Descriptive Statistics
7.2. Cross-Sectional Dependence and Unit-Root Tests
7.3. Panel Co-integration
7.4. FMOLS and System GMM
7.5. Distributional Analysis: MMQR
7.6. Moderation: Role of Institutional Quality
7.7. Panel Causality: Dumitrescu–Hurlin
7.8. Summary of Hypothesis Testing
| H | Hypothesis | Estimator | Outcome | Key Evidence |
|---|---|---|---|---|
| H₁ | EXR volatility → negative effect on Z-score | FMOLS + GMM | Supported | β = −0.124, p = 0.012 (GMM) |
| H₂ | EXR volatility → positive effect on NPL | FMOLS + GMM | Supported | β = 0.847 (FMOLS), p < 0.001 |
| H₃ | Heterogeneous effects across the stability distribution | MMQR | Supported | β: −0.510 (τ=0.10) → −0.190 (τ=0.90); mirrored in NPL |
| H₄ | Institutional quality dampens the nexus | Moderation | Supported (NPL only) | Interaction = −2.400, p < 0.001 |
8. Conclusion
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data availability statement
Conflicts of Interest
References
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| Variable | Obs | Mean | Std. Dev. | Min | Max | Skew. | Kurt. |
|---|---|---|---|---|---|---|---|
| Bank Z-Score | 312 | 13.284 | 2.318 | 7.120 | 18.940 | −0.182 | 0.421 |
| NPL Ratio (%) | 312 | 3.472 | 2.184 | 0.620 | 12.870 | 1.284 | 2.947 |
| EXR Volatility | 312 | 4.116 | 1.746 | 1.380 | 11.920 | 1.115 | 1.983 |
| GDP Growth (%) | 312 | 1.864 | 2.042 | −7.120 | 7.860 | −0.724 | 2.108 |
| Inflation (%) | 312 | 2.241 | 1.632 | −0.830 | 10.610 | 1.468 | 3.964 |
| Trade Openness (% GDP) | 312 | 88.472 | 39.285 | 24.100 | 186.400 | 0.562 | −0.416 |
| Private Credit (% GDP) | 312 | 145.628 | 30.841 | 91.500 | 214.700 | 0.173 | −0.892 |
| Real Interest Rate (%) | 312 | 1.324 | 0.924 | −0.840 | 4.520 | 0.384 | −0.237 |
| Bank Capital Ratio (%) | 312 | 10.586 | 1.284 | 7.920 | 14.620 | 0.521 | 0.184 |
| Rule of Law | 312 | 1.542 | 0.247 | 0.890 | 1.980 | −0.941 | 0.876 |
| Regulatory Quality | 312 | 1.594 | 0.231 | 0.910 | 2.040 | −0.864 | 0.693 |
| Variable | CD-stat | p-value | Avg │ρ│ | CSD | CIPS (Level) | CIPS (1st Diff.) |
|---|---|---|---|---|---|---|
| Bank Z-Score | 18.514 | 0.000 | 0.434 | Yes | −2.118 | −4.816*** |
| NPL Ratio (%) | 41.613 | 0.000 | 0.962 | Yes | −2.246 | −5.527*** |
| EXR Volatility | 40.859 | 0.000 | 0.944 | Yes | −2.013 | −4.913*** |
| GDP Growth (%) | 41.398 | 0.000 | 0.957 | Yes | −2.187 | −4.892*** |
| Inflation (%) | 40.373 | 0.000 | 0.933 | Yes | −2.301 | −5.171*** |
| Trade Openness | 0.363 | 0.717 | 0.151 | No | −2.105 | −4.953*** |
| Private Credit | −1.399 | 0.162 | 0.175 | No | −2.273 | −4.328*** |
| Real Interest Rate | 35.461 | 0.000 | 0.820 | Yes | −2.019 | −5.553*** |
| Bank Capital Ratio | −0.446 | 0.655 | 0.209 | No | −2.164 | −4.636*** |
| Rule of Law | −0.344 | 0.731 | 0.185 | No | −2.231 | −5.608*** |
| Regulatory Quality | 0.158 | 0.875 | 0.166 | No | −2.156 | −4.828*** |
| Statistic | Value | Z-value | p-value | Sig. |
|---|---|---|---|---|
| Gτ | −3.214 | −4.187 | 0.000 | *** |
| Gα | −11.642 | −2.896 | 0.004 | *** |
| Pτ | −9.871 | −3.542 | 0.000 | *** |
| Pα | −10.305 | −3.118 | 0.002 | *** |
| Variable | FMOLS Coeff. | FMOLS SE | FMOLS p | GMM Coeff. | GMM SE | GMM p |
|---|---|---|---|---|---|---|
| Panel A: Dependent Variable = Bank Z-Score | ||||||
| EXR Volatility | −0.1980 | (0.0710) | 0.016** | −0.1242 | (0.0489) | 0.012** |
| GDP Growth (%) | 0.4717 | (0.1259) | 0.003*** | −0.0001 | (0.1151) | 0.999 |
| Inflation (%) | 0.0276 | (0.1573) | 0.864 | −0.0415 | (0.1746) | 0.812 |
| Trade Openness | −0.0097 | (0.0630) | 0.881 | −0.0046 | (0.0056) | 0.411 |
| Private Credit | −0.0157 | (0.0198) | 0.443 | 0.0056 | (0.0095) | 0.556 |
| Real Int. Rate | 0.0099 | (0.1322) | 0.942 | −0.1574 | (0.1750) | 0.369 |
| Capital Ratio | 0.1810 | (0.2653) | 0.508 | 0.0287 | (0.0711) | 0.687 |
| Lagged Z-Score | — | — | — | −0.0445 | (0.0495) | 0.369 |
| Panel B: Dependent Variable = NPL Ratio (%) | ||||||
| EXR Volatility | 0.8470 | (0.1830) | 0.001*** | 0.3856 | (0.1102) | 0.001*** |
| GDP Growth (%) | −0.5227 | (0.4873) | 0.305 | 0.7130 | (0.3456) | 0.040** |
| Inflation (%) | 0.0754 | (0.0513) | 0.167 | 0.0078 | (0.0730) | 0.915 |
| Trade Openness | 0.0193 | (0.0201) | 0.354 | −0.0178 | (0.0145) | 0.223 |
| Private Credit | 0.0135 | (0.0163) | 0.424 | 0.0014 | (0.0049) | 0.785 |
| Real Int. Rate | 0.1089 | (0.0283) | 0.002*** | −0.1054 | (0.2447) | 0.667 |
| Capital Ratio | 0.0784 | (0.1831) | 0.676 | 0.0177 | (0.0686) | 0.796 |
| Lagged NPL | — | — | — | 0.2984 | (0.0337) | 0.000*** |
| DV: Bank Z-Score | τ = 0.10 | τ = 0.25 | τ = 0.50 | τ = 0.75 | τ = 0.90 |
|---|---|---|---|---|---|
| Panel A: DV = Bank Z-Score | |||||
| EXR Volatility | −0.510*** | −0.450*** | −0.350*** | −0.250*** | −0.190*** |
| (SE) | (0.092) | (0.090) | (0.057) | (0.046) | (0.042) |
| GDP Growth (%) | 0.123 | 0.095 | 0.141* | 0.142 | 0.092 |
| Inflation (%) | −0.018 | −0.005 | 0.003 | 0.030 | 0.029 |
| Trade Openness | 0.015 | 0.008 | −0.001 | −0.006 | −0.006 |
| Private Credit | 0.000 | 0.007 | 0.005 | 0.004 | 0.000 |
| Real Int. Rate | 0.173 | 0.156 | 0.174 | 0.228* | 0.227* |
| Capital Ratio | 0.034 | −0.053 | 0.099 | 0.078 | 0.087 |
| Panel B: DV = NPL Ratio (%) | |||||
| EXR Volatility | 0.175*** | 0.258*** | 0.395*** | 0.533*** | 0.615*** |
| (SE) | (0.042) | (0.051) | (0.057) | (0.098) | (0.146) |
| GDP Growth (%) | −0.097 | −0.316*** | −0.279*** | −0.268*** | −0.228** |
| Inflation (%) | 0.011 | 0.002 | 0.005 | 0.002 | −0.008 |
| Trade Openness | 0.012 | 0.013 | 0.009 | 0.009 | 0.012 |
| Private Credit | 0.001 | 0.010 | 0.007 | 0.009 | 0.010 |
| Real Int. Rate | 0.147 | 0.135* | 0.161** | 0.112 | 0.083 |
| Capital Ratio | 0.003 | −0.023 | −0.048 | −0.001 | 0.035 |
| Variable | Z: Coeff. | Z: SE | Z: Sig. | NPL: Coeff. | NPL: SE | NPL: Sig. |
|---|---|---|---|---|---|---|
| EXR Volatility | −0.2725 | (0.0612) | *** | 0.5674 | (0.0892) | *** |
| Rule of Law | 1.8655 | (1.0728) | * | −1.5162 | (0.6417) | ** |
| EXR Vol. × Rule of Law | 0.0530 | (0.1192) | −2.3995 | (0.5841) | *** | |
| GDP Growth (%) | 0.1299 | (0.0438) | *** | −0.2391 | (0.0520) | *** |
| Inflation (%) | −0.0326 | (0.0433) | 0.0495 | (0.0514) | ||
| Trade Openness | −0.0056 | (0.0121) | 0.0214 | (0.0143) | ||
| Private Credit | 0.0033 | (0.0077) | 0.0133 | (0.0092) | ||
| Real Int. Rate | 0.1069 | (0.0784) | 0.1147 | (0.0931) | ||
| Capital Ratio | 0.0800 | (0.0939) | 0.1113 | (0.1115) | ||
| R² (within) | 0.318 | 0.342 |
| Variable | Z: Coeff. | Z: SE | Z: Sig. | NPL: Coeff. | NPL: SE | NPL: Sig. |
|---|---|---|---|---|---|---|
| EXR Volatility | −0.2698 | (0.0631) | *** | 0.5512 | (0.0917) | *** |
| Regulatory Quality | 1.6240 | (0.9856) | −1.3805 | (0.5934) | ** | |
| EXR Vol. × Reg. Quality | 0.0712 | (0.1248) | −2.1040 | (0.6125) | *** |
| Null Hypothesis (H₀) | W-bar | Z-bar | p-value | Sig. | Decision |
|---|---|---|---|---|---|
| EXR Volatility ⇏ Bank Z-Score | 3.774 | 3.198 | 0.001 | *** | Reject — unidirectional |
| Bank Z-Score ⇏ EXR Volatility | 1.502 | −0.897 | 0.370 | Fail to reject | |
| EXR Volatility ⇏ NPL Ratio | 3.700 | 3.065 | 0.002 | *** | Reject — unidirectional |
| NPL Ratio ⇏ EXR Volatility | 2.644 | 1.160 | 0.246 | Fail to reject |
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