Quantile-VAR Approach to Spillovers and Connectedness Among Real-Financial Aggregates and Economic Freedom in Tunisia
Abstract
1. Introduction
1.1. Theoretical Foundations, Research Hypotheses, and Literature Review
1.1.1. Theoretical Foundations
Macroeconomic Theory
Quantity Theory of Money
Neoclassical Growth Theory
1.2. Research Hypotheses
1.3. Literature Review
2. Data and Methodology
2.1. Data
2.2. Econometric Methodology
3. Empirical Analysis
3.1. Static Quantile Connectedness
3.1.1. Upper Regime
3.1.2. Normal Regime
3.1.3. Lower Regime
3.2. Dynamic Connectivity
3.3. Time-Varying Net Pairwise Spillovers Among Real-Financial Aggregates and Economic Freedom
3.4. Robustness Test
4. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Correction Statement
| 1 | These previous studies rely on panel data models, typically employing the Generalized Method of Moments (GMM) and conventional panel estimation techniques that account for individual effects (Arellano & Bond, 1991; Blundell & Bond, 1998). However, their analytical frameworks remain limited to examining unidirectional relationships among macroeconomic variables and economic freedom. The investigation of bidirectional externalities between real-financial aggregates and economic freedom capturing the dynamic spillover effects across these domains lies beyond the scope of their analyses (Barguellil et al., 2018). |
| 2 | Acemoglu et al. (2003) examine the broader role of institutions in their study of the relationship between macroeconomic policy and economic volatility. |
| 3 | Kim et al. (2009) apply a panel VAR to examine the real economic interdependence among nine Asian economies and major industrialized countries, while the IMF (2007) uses VAR models to assess the transmission of U.S. shocks to more than 130 economies. More recently, Wang et al. (2023) introduce a distributional VAR framework that captures time-varying dependencies between macroeconomic and financial aggregates in the United States. These approaches provide valuable insights but rely on the assumption of stable and linear relationships, an assumption that often breaks down during episodes of economic shocks or financial crises. |
| 4 | The econometric approach uses essentially the GMM method applied to time series and panel data. |
| 5 | Given the small size of our sample and the short- to medium-term objective of our study, we reduced the QVAR lag to 1 and the forecast error variance decomposition horizon to 2 quarters. |
| 6 | Diebold and Yilmaz (2012, 2014) provide seminal evidence that systemic connectedness among financial and macroeconomic variables rises sharply during episodes of turmoil. Similarly, Bouri et al. (2021) and X. Chen et al. (2022) show that connectedness dynamics become significantly amplified in extreme quantiles, highlighting the heightened transmission of shocks under bullish and bearish regimes. N. Kyriazis et al. (2024b) further confirm that both real and financial markets exhibit stronger interdependencies during periods of elevated uncertainty and stress, in line with macro-financial spillover theories. |
| 7 | Frenkel (1976) and Dornbusch (1976) argued that monetary expansions exert depreciation pressures through higher inflation expectations and exchange rate overshooting. Bahmani-Oskooee and Malixi (1992) supports this view, showing that money supply shocks significantly affect exchange rates in developing economies. Alesina and Summers (1993); Acemoglu et al. (2003) and Lawson and Murphy (2020) show that higher levels of economic freedom, reflected in sound monetary institutions, stronger property rights, and regulatory quality, have been shown to mitigate exchange rate volatility. |
| 8 | Carlsson and Lundström (2002) emphasize that the growth effects of economic freedom in developing economies are often conditional on structural and institutional maturity. Also consistent with our insights, Hayet & Naceur (2021) provide evidence that although FDI inflows respond positively to improvements in Tunisia’s economic freedom, the transmission of macroeconomic shocks through these channels remains limited. This pattern reflects persistent structural constraints, weak institutional maturity, and limited policy leverage compared to advanced economies. |
| 9 | Gwartney et al. (2023) argue that higher levels of economic freedom support better capital allocation and lower risk premium, thus fostering more resilient markets. Similarly, Shah et al. (2024) demonstrate that property rights and financial freedom dimensions mitigate stock market volatility in emerging economies. |
| 10 | Lipset (1959) and de Haan and Sturm (2000) highlight the positive association between higher income levels and stronger institutional frameworks. Acemoglu et al. (2005) show that economic development strengthens the demand and enforcement of inclusive institutions. The labor market channel echoes the work of Botero et al. (2004), Feldmann (2009), and Heckelman and Stroup (2005a), who demonstrate how labor market regulations shape broader economic freedom. The monetary and financial dimension, captured by interest rate sensitivity, is closely related to the “sound money” and “financial freedom” components of the Index of World Economic Freedom (Gwartney et al., 2023) and is consistent with the literature on financial liberalization (McKinnon, 1973; Shaw, 1973). |
| 11 | Labor force expansion, financial market conditions, and interest rate dynamics are well-established drivers of output growth (Solow, 1956; Mankiw et al., 1992; Fama, 1990; Schwert, 1990; King & Levine, 1993; Bernanke & Gertler, 1995; Mishkin, 1996). In contrast, the effect of economic freedom on GDP appears more indirect and long-term, operating through improvements in institutions and market efficiency (Graeff & Mehlkop, 2003; Feldmann, 2017; Nyström, 2008). This explains why, in our results, economic freedom transmits weaker spillovers to GDP relative to labor, stock markets, and interest rates. |
| 12 | Empirical evidence further supports this interconnectedness, as Diebold and Yilmaz (2012, 2014) demonstrate that GDP often acts as a net receiver of shocks originating in both real and financial markets, while Antonakakis and Gabauer (2017) find strong spillover effects from equity markets to GDP in open economies. |
| 13 | The net pairwise directional connectedness illustrates the net externality transmission on the bilateral level. The Net Pairwise Dynamic Connectedness, noted represents the difference in exchanged externalities between the variable i and the variable j at time t. |
| 14 | To substantiate the dominance of externalities received by economic freedom, one only needs to examine the pairwise connectivities, with particular attention to the positive and negative hatched areas. The analysis reveals that the positively hatched surfaces consistently outweigh the negative ones—especially in the cases of money supply–economic freedom, inflation–economic freedom, and labor force–economic freedom. In other words, the externalities transmitted by real and financial aggregates globally exceed those generated by economic freedom. |
| 15 | The crisis years include 2015–2016, marked by terrorist attacks (Bardo and Sousse) that led to a collapse in tourism, very weak growth, and high unemployment; 2018, characterized by widespread protests against rising living costs and inflation, which further deteriorated the social and economic climate; and 2020, when the COVID-19 pandemic triggered a historic recession (−8.8% of GDP), soaring unemployment, and mounting public debt. During these phases, economic freedom behaved reactively: it primarily absorbed shocks from GDP, inflation, and employment, while transmitting relatively little to financial markets or monetary aggregates. |
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| Variable | Description | Source/Provider | Frequency | Transformation | Unit of Measurement |
|---|---|---|---|---|---|
| ECOFREEDOM | Economic Freedom Index | Fraser Institute | Quarterly | Growth rate | Index value (transformed) |
| GDP | Gross Domestic Product | Likely National Institute of Statistics (Tunisia) or IMF | Quarterly | Growth rate | Constant local currency unit (transformed) |
| M2 | Money Supply (Broad Money) | Central Bank of Tunisia (BCT) | Quarterly | Growth rate | Tunisian Dinar (TND) (transformed) |
| INTRATE | Interest Rate (Money Market Rate) | Central Bank of Tunisia (BCT) | Quarterly | Growth rate | Percentage (%) (transformed) |
| EXCHRATE | Exchange Rate (TND/USD) | Central Bank of Tunisia (BCT) | Quarterly | Growth rate | TND per 1 USD (transformed) |
| CPI | Consumer Price Index (proxy for Inflation) | National Institute of Statistics (Tunisia) | Quarterly | Growth rate | Index (2010 = 100, transformed) |
| TUNINDEX | Stock Market Index (Tunis Stock Exchange) | Tunis Stock Exchange (BVMT) | Quarterly | Growth rate | Index points (transformed) |
| FORCETRAV | Labor Force | National Institute of Statistics (Tunisia) or ILO | Quarterly | Growth rate | Number of persons (transformed) |
| Mean | Maximum | Minimum | Std. Dev. | Skewness | Kurtosis | JB | ADF | Obs. | |
|---|---|---|---|---|---|---|---|---|---|
| M2 | 0.0221 | 0.0532 | −0.0221 | 0.0139 | −0.5280 | 3.6114 | 3.661 | −3.542 | 59 |
| INTRATE | 0.0111 | 0.1581 | −0.1155 | 0.0513 | 0.4105 | 4.8323 | 9.911 | −4.025 | 59 |
| EXCHRATE | 0.0139 | 0.0833 | −0.0415 | 0.0304 | 0.2194 | 2.5597 | 0.951 | −3.587 | 59 |
| Tun-Index | 0.0146 | 0.1561 | −0.1422 | 0.0599 | 0.0315 | 3.1847 | 0.094 | −3.821 | 59 |
| ECOFREEDOM | −0.0013 | 0.0043 | −0.0138 | 0.0042 | −0.5530 | 2.4309 | 3.804 | −4.651 | 59 |
| CPI | 0.0140 | 0.0257 | 0.0056 | 0.0048 | 0.4113 | 2.8385 | 1.728 | −4.025 | 59 |
| GDP | 0.0167 | 0.1717 | −0.1444 | 0.0312 | −0.2695 | 23.194 | 1003.3 *** | −3.854 | 59 |
| FORCETRAV | 0.0019 | 0.0280 | −0.0274 | 0.0077 | −0.7878 | 7.7812 | 62.299 *** | −3.891 | 59 |
| M2 | INT.RATE | USD.TND | TUNINDEX | Eco Freedom | CPI | GDP | FORCETRAV | FROM | |
|---|---|---|---|---|---|---|---|---|---|
| PANEL A: Lower Quantile (q = 0.05) | |||||||||
| M2 | 29.73 | 8.55 | 12.89 | 8.55 | 11.18 | 7.90 | 9.53 | 11.68 | 70.27 |
| INT.RATE | 7.54 | 30.98 | 6.67 | 14.96 | 6.77 | 12.76 | 13.29 | 7.02 | 69.02 |
| USD.TND | 10.01 | 8.98 | 34.68 | 9.60 | 9.96 | 9.57 | 9.10 | 8.10 | 65.32 |
| TUNINDEX | 9.69 | 9.42 | 13.02 | 27.21 | 8.60 | 11.59 | 11.19 | 9.26 | 72.79 |
| Eco. Freedom | 11.36 | 9.09 | 11.43 | 8.97 | 33.07 | 10.09 | 6.74 | 9.25 | 66.93 |
| CPI | 9.94 | 13.26 | 10.13 | 10.79 | 9.39 | 24.46 | 11.84 | 10.19 | 75.54 |
| GDP | 9.93 | 10.91 | 9.36 | 11.39 | 7.07 | 8.98 | 27.52 | 14.84 | 72.48 |
| FORCETRAV | 11.65 | 8.30 | 9.78 | 9.81 | 8.79 | 6.15 | 10.34 | 35.18 | 64.82 |
| TO | 70.11 | 68.52 | 73.29 | 74.07 | 61.76 | 67.04 | 72.04 | 70.35 | 557.17 |
| Inc. Own | 99.83 | 99.50 | 107.98 | 101.28 | 94.83 | 91.50 | 99.55 | 105.53 | TCI |
| NET | −0.17 | −0.50 | 7.98 | 1.28 | −5.17 | −8.50 | −0.45 | 5.53 | 69.65 |
| NPT | 4.00 | 5.00 | 6.00 | 4.00 | 1.00 | 2.00 | 2.00 | 4.00 | |
| PANEL B: Medium Quantile (q = 0.50) | |||||||||
| M2 | 52.73 | 7.92 | 6.38 | 6.73 | 6.80 | 5.36 | 5.30 | 8.78 | 47.27 |
| INT.RATE | 4.44 | 52.15 | 5.19 | 7.83 | 5.34 | 9.31 | 10.85 | 4.87 | 47.85 |
| USD.TND | 8.77 | 5.57 | 51.81 | 4.90 | 6.18 | 7.02 | 6.01 | 9.75 | 48.19 |
| TUNINDEX | 10.02 | 5.24 | 8.05 | 46.88 | 8.26 | 5.83 | 8.32 | 7.40 | 53.12 |
| Eco. Freedom | 6.28 | 8.18 | 5.28 | 3.22 | 51.37 | 5.54 | 12.03 | 8.10 | 48.63 |
| CPI | 7.85 | 9.36 | 6.50 | 3.52 | 4.40 | 48.68 | 8.40 | 11.29 | 51.32 |
| GDP | 6.50 | 8.44 | 6.18 | 2.09 | 9.25 | 5.99 | 52.04 | 9.51 | 47.96 |
| FORCETRAV | 5.15 | 5.66 | 5.18 | 7.96 | 6.34 | 8.09 | 10.79 | 50.83 | 49.17 |
| TO | 49.01 | 50.37 | 42.75 | 36.26 | 46.57 | 47.14 | 61.71 | 59.70 | 393.52 |
| Inc. Own | 101.74 | 102.52 | 94.56 | 83.14 | 97.94 | 95.82 | 113.75 | 110.53 | TCI |
| NET | 1.74 | 2.52 | −5.44 | −16.86 | −2.06 | −4.18 | 13.75 | 10.53 | 49.19 |
| NPT | 4.00 | 5.00 | 2.00 | 2.00 | 3.00 | 3.00 | 5.00 | 4.00 | |
| PANEL C: Upper Quantile (q = 0.95) | |||||||||
| M2 | 37.02 | 7.24 | 9.86 | 7.98 | 9.66 | 7.75 | 8.05 | 12.45 | 62.98 |
| INT.RATE | 7.51 | 34.05 | 11.42 | 11.03 | 7.71 | 13.29 | 9.75 | 5.24 | 65.95 |
| USD.TND | 10.38 | 8.78 | 34.94 | 7.81 | 11.06 | 12.20 | 7.58 | 7.24 | 65.06 |
| TUNINDEX | 8.89 | 8.78 | 9.39 | 32.03 | 9.49 | 11.62 | 13.81 | 6.00 | 67.97 |
| Eco Freedom | 9.10 | 10.85 | 11.00 | 9.73 | 32.96 | 8.40 | 8.76 | 9.20 | 67.04 |
| CPI | 8.92 | 10.57 | 14.27 | 5.67 | 6.32 | 32.02 | 13.08 | 9.13 | 67.98 |
| GDP | 9.55 | 13.49 | 6.49 | 6.04 | 5.34 | 9.62 | 36.24 | 13.23 | 63.76 |
| FORCETRAV | 9.62 | 7.52 | 6.46 | 7.83 | 6.39 | 5.55 | 13.81 | 42.83 | 57.17 |
| TO | 63.99 | 67.24 | 68.89 | 56.09 | 55.96 | 68.43 | 74.83 | 62.49 | 517.92 |
| Inc.Own | 101.01 | 101.29 | 103.84 | 88.12 | 88.91 | 100.45 | 111.07 | 105.32 | TCI |
| NET | 1.01 | 1.29 | 3.84 | −11.88 | −11.09 | 0.45 | 11.07 | 5.32 | 64.74 |
| NPT | 5.00 | 3.00 | 3.00 | 3.00 | 2.00 | 3.00 | 5.00 | 4.00 | |
| n-Forecast | Lag | Size-Window. | TCI 0.05 | Net Spillovers | TCI 0.95 | Net Spillovers | TCI 0.50 | Net Spillovers |
|---|---|---|---|---|---|---|---|---|
| 2 quarters | 1 | 18 | 69.04 | −4.5 | 66.97 | −10.62 | 50.45 | −1.61 |
| 2 quarters | 1 | 19 | 69.2 | −5.81 | 66.31 | −13.60 | 50.15 | −0.33 |
| 2 quarters | 1 | 20 | 69.65 | −5.13 | 64.74 | −11.59 | 49.49 | −2.06 |
| 2 quarters | 1 | 21 | 69.73 | −6.56 | 64.48 | −12.80 | 47.23 | 0.95 |
| 2 quarters | 1 | 22 | 69.43 | −6.70 | 63.64 | −14.07 | 47.55 | 1.92 |
| 2 quarters | 1 | 23 | 69.36 | −5.51 | 64.65 | −9.59 | 48.69 | 1.12 |
| 2 quarters | 1 | 24 | 70.05 | −6.46 | 65.1 | −13.04 | 48.75 | −0.67 |
| 2 quarters | 1 | 25 | 69.96 | −4.9 | 65.93 | −9.89 | 48.11 | 1.77 |
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Hachicha, N.; Ouertani, M.N.; Salem, M.B.; Feki, M.C. Quantile-VAR Approach to Spillovers and Connectedness Among Real-Financial Aggregates and Economic Freedom in Tunisia. J. Risk Financ. Manag. 2026, 19, 476. https://doi.org/10.3390/jrfm19070476
Hachicha N, Ouertani MN, Salem MB, Feki MC. Quantile-VAR Approach to Spillovers and Connectedness Among Real-Financial Aggregates and Economic Freedom in Tunisia. Journal of Risk and Financial Management. 2026; 19(7):476. https://doi.org/10.3390/jrfm19070476
Chicago/Turabian StyleHachicha, Nejib, Mohamed Nejib Ouertani, Marwa Ben Salem, and Mohamed Chiheb Feki. 2026. "Quantile-VAR Approach to Spillovers and Connectedness Among Real-Financial Aggregates and Economic Freedom in Tunisia" Journal of Risk and Financial Management 19, no. 7: 476. https://doi.org/10.3390/jrfm19070476
APA StyleHachicha, N., Ouertani, M. N., Salem, M. B., & Feki, M. C. (2026). Quantile-VAR Approach to Spillovers and Connectedness Among Real-Financial Aggregates and Economic Freedom in Tunisia. Journal of Risk and Financial Management, 19(7), 476. https://doi.org/10.3390/jrfm19070476

