The debt threshold in the context of debt sustainability: a comparison between Egypt and Japan using the LSTR approach

DOI: https://doi.org/10.3846/tede.2026.28167

Abstract

Previous studies show mixed findings with respect to the association between public debt (proportioned to GDP) and economic growth, which should be reexamined. No research has looked at how differences in economic structures, inflation stability, central bank ability to monetize debt, and the stage of economic development can determine their ability to manage and service the public debt and to mitigate the potential deleterious impacts of debt on growth. This paper helps fill this gap in literature by using data from 1974 to 2022 to investigate, in a comparative manner, the existence of debt-GDP thresholds in Egypt (as a developing country) and Japan (as a developed country). These two countries have been chosen due to the differences between both in terms of the above-mentioned factors. To do so, the logistic smooth transition regression is conducted. We found evidence for a statistically significant positive relationship between public debt (proportioned to GDP) and economic growth before crossing the estimated threshold at 72.77% for Egypt and at 205.88% for Japan. Beyond the threshold, public debt has harmful effects on economic growth, suggesting an asymmetric association between the two main variables. Such estimated thresholds, regarding keeping public debt (proportioned to GDP) below the estimated thresholds, could help policymakers design their long-term macroeconomic strategies in the sense that debt below the threshold can be productive. These thresholds can be dealt with as a fiscal anchor.

First published online 21 September 2026

Keywords:

economic growth, public debt, structural breaks, LSTR model, Egypt, Japan
Published in Issue
September 21, 2026
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Maher, M., Mostafa, M. G. A., Awad, E. A. A., Hassan, R. F. M., & Mater, M. A. M. (2026). The debt threshold in the context of debt sustainability: a comparison between Egypt and Japan using the LSTR approach. Technological and Economic Development of Economy, 1-28. https://doi.org/10.3846/tede.2026.28167

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References

Abbas, S., & Christensen, J. (2010). The role of domestic debt markets in economic growth: An empirical investigation for low-income countries and emerging markets. IMF Staff Papers, 57(1), 209–255. https://doi.org/10.1057/imfsp.2009.24

Aguiar, M., Amador, M., & Gopinath, G. (2009). Investment cycles and sovereign debt overhang. The Review of Economic Studies, 76(1), 1–31. https://doi.org/10.1111/j.1467-937X.2008.00523.x

Ahlborn, M., & Schweickert, R. (2018). Public debt and economic growth–economic systems matter. International Economics and Economic Policy, 15, 373–403. https://doi.org/10.1007/s10368-017-0396-0

Albu, A., & Albu, L. (2021). Public debt and economic growth in Euro area countries. A wavelet approach. Technological and Economic Development of Economy, 27(3), 602–625. https://doi.org/10.3846/tede.2021.14241

Augustine, B., & Rafi, M. (2023). Public debt-economic growth nexus in emerging and developing economies: Exploring nonlinearity. Finance Research Letters, 52, Article 103540. https://doi.org/10.1016/j.frl.2022.103540

Bai, J., & Perron, P. (1998). Estimating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78. https://doi.org/10.2307/2998540

Baldacci, E., Gupta, S., & Mulas-Granados, C. (2014). How effective is fiscal policy response in financial crises. In S. Claessens, M. Kose, L. Laeven, & F. Valencia (Eds.), Financial crises: Causes, consequences, and policy responses (pp. 431–457). International Monetary Fund. https://doi.org/10.5089/9781475543407.071

Barro, R. (1989). The Ricardian approach to budget deficits. Journal of Economic Perspectives, 3(2), 37–54. https://doi.org/10.1257/jep.3.2.37

Baum, A., Checherita-Westphal, C., & Rother, P. (2013). Debt and growth: New evidence for the euro area. Journal of International Money and Finance, 32, 809–821. https://doi.org/10.1016/j.jimonfin.2012.07.004

Berg, A., Portillo, R., Buffie, E., Pattillo, C., & Zanna, L. (2012). Public investment, growth, and debt sustainability: Putting together the pieces (Working Paper WP/12/144). International Monetary Fund. https://doi.org/10.5089/9781475504071.001

Bernardo, S., Vasconcelos, M., & Rocha, F. (2024). The widening of the North–South divide: Debt sustainability in a world weakened by COVID-19. Economies, 12(2), Article 42. https://doi.org/10.3390/economies12020042

Blanchard, O., Gopinath, G., & Rogoff, K. (2021). Discussion on public debt and fiscal policy. IMF Economic Review, 69, 258–274. https://doi.org/10.1057/s41308-020-00116-2

Bohn, H. (1998). The behavior of US public debt and deficits. The Quarterly Journal of Economics, 113(3), 949–963. https://doi.org/10.1162/003355398555793

Broock, W., Scheinkman, J., Dechert, W., & LeBaron, B. (1996). A test for independence based on the correlation dimension. Econometric Reviews, 15(3), 197–235. https://doi.org/10.1080/07474939608800353

Buchanan, J. (1976). Barro on the Ricardian equivalence theorem. Journal of Political Economy, 84(2), 337–342. https://doi.org/10.1086/260436

Caner, M., Grennes, T., & Köhler-Geib, F. (2010). Finding the tipping point-when sovereign debt turns bad. In C. Braga & G. Vincelette (Eds.), Sovereign debt and the financial crisis: Will this time be different? (pp. 63–75). World Bank. https://doi.org/10.1596/1813-9450-5391

Cecchetti, S., Mohanty, M., & Zampolli, F. (2011). The real effects of debt (BIS Working Paper No. 352). Bank for International Settlements.

Chan, K., Hansen, B., & Timmermann, A. (2017). Guest editors’ introduction: Regime switching and threshold models. Journal of Business & Economic Statistics, 35(2), 159–161. https://doi.org/10.1080/07350015.2017.1236521

Checherita-Westphal, C., & Rother, P. (2010). The impact of high and growing government debt on economic growth: an empirical investigation for the euro area (Working Paper No. 1237). European Central Bank. https://doi.org/10.2139/ssrn.1659559

Choi, I. (2015). Almost all about unit roots: Foundations, developments, and applications. Cambridge University Press. https://doi.org/10.1017/CBO9781316157824

Chudik, A., Mohaddes, K., Pesaran, M., & Raissi, M. (2017). Is there a debt-threshold effect on output growth? Review of Economics and Statistics, 99(1), 135–150. https://doi.org/10.1162/REST_a_00593

Ciaffi, G., Deleidi, M., & Capriati, M. (2024). Government spending, multipliers, and public debt sustainability: An empirical assessment for OECD countries. Economia Politica, 41(2), 521–542. https://doi.org/10.1007/s40888-024-00335-0

Clements, B., Bhattacharya, R., & Nguyen, T. (2003). External debt, public investment, and growth in low-income countries (IMF Working Paper No. 03/249). International Monetary Fund. https://doi.org/10.5089/9781451875904.001

Cochrane, J. (2011a). Inflation and debt. National Affairs, 9(2), 56–78.

Cochrane, J. (2011b). Understanding policy in the great recession: Some unpleasant fiscal arithmetic. European Economic Review, 55(1), 2–30. https://doi.org/10.1016/j.euroecorev.2010.11.002

Cohen-Setton, J., & Oikawa, K. (2022). Japans public debt sustainability before and after COVID-19. In B. Ferrarini, M. Giugale, & J. Pradelli (Eds.), The sustainability of Asia’s debt (pp. 66–86). Edward Elgar Publishing. https://doi.org/10.4337/9781800883727.00011

Corsetti, G., & Roubini, N. (1991). Fiscal deficits, public debt, and government solvency: Evidence from OECD countries. Journal of the Japanese and International Economies, 5(4), 354–380. https://doi.org/10.1016/0889-1583(91)90004-A

Creamer, K., & Botha, R. (2017). Assessing nominal GDP targeting in the South African context. Central Bank Review, 17(1), 1–10. https://doi.org/10.1016/j.cbrev.2017.02.001

Culver, S., & Papell, D. (1997). Is there a unit root in the inflation rate? Evidence from sequential break and panel data models. Journal of Applied Econometrics, 12(4), 435–444. https://doi.org/10.1002/(SICI)1099-1255(199707)12:4<435::AID-JAE430>3.0.CO;2-1

D’Erasmo, P., Mendoza, E., & Zhang, J. (2016). What is a sustainable public debt? In J. Taylor & H. Uhlig (Eds.), Handbook of macroeconomics (vol. 2, pp. 2493–2597). Elsevier. https://doi.org/10.1016/bs.hesmac.2016.03.013

DeLong, J., Summers, L., Feldstein, M., & Ramey, V. (2012). Fiscal policy in a depressed economy [with comments and discussion]. Brookings Papers on Economic Activity, 43(1), 233–297. https://doi.org/10.1353/eca.2012.0000

Della Posta, P., Marelli, E., & Signorelli, M. (2022). COVID-19, economic policies and public debt sustainability in Italy. Sustainability, 14(8), Article 4691. https://doi.org/10.3390/su14084691

Deschamps, P. (2008). Comparing smooth transition and Markov switching autoregressive models of US unemployment. Journal of Applied Econometrics, 23(4), 435–462. https://doi.org/10.1002/jae.1014

Diamond, D., & He, Z. (2014). A theory of debt maturity: the long and short of debt overhang. The Journal of Finance, 69(2), 719–762. https://doi.org/10.1111/jofi.12118

Dickey, D., & Fuller, W. (1981). Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica, 49(4), 1057–1072. https://doi.org/10.2307/1912517

Dimitraki, O., & Emmanouilidis, K. (2024). Interactional impact of defence expenditure and political instability on economic growth in Nigeria: Revisited. Defence and Peace Economics, 36, 533–544. https://doi.org/10.1080/10242694.2024.2354992

Eberhardt, M., & Presbitero, A. (2015). Public debt and growth: Heterogeneity and non-linearity. Journal of International Economics, 97(1), 45–58. https://doi.org/10.1016/j.jinteco.2015.04.005

Égert, B. (2015a). Public debt, economic growth and nonlinear effects: Myth or reality? Journal of Macroeconomics, 43, 226–238. https://doi.org/10.1016/j.jmacro.2014.11.006

Égert, B. (2015b). The 90% public debt threshold: The rise and fall of a stylized fact. Applied Economics, 47(34–35), 3756–3770. https://doi.org/10.1080/00036846.2015.1021463

El-Naser, A., Dincă, G., & Dincă, M. (2025). Investigating the determinants of public debt sustainability for European Union countries. Scientific Annals of Economics and Business, 72(1), 21–40. https://doi.org/10.47743/saeb-2025-0001

Engle, R., & Granger, C. (1987). Cointegration and error correction: Representation, estimation, and testing. Econometrica: Journal of the Econometric Society, 55(2), 251–276. https://doi.org/10.2307/1913236

Fischer, R., & Schnabl, G. (2018). Regional heterogeneity, the rise of public debt and monetary policy in post-bubble Japan: Lessons for the EMU. International Economics and Economic Policy, 15, 405–428. https://doi.org/10.1007/s10368-017-0402-6

Fischer, S. (1993). The role of macroeconomic factors in growth. Journal of Monetary Economics, 32(3), 485–512. https://doi.org/10.1016/0304-3932(93)90027-D

Fok, D., Van Dijk, D., & Franses, P. (2005). A multi‐level panel STAR model for US manufacturing sectors. Journal of Applied Econometrics, 20(6), 811–827. https://doi.org/10.1002/jae.822

Gómez-Puig, M., & Sosvilla-Rivero, S. (2015). The causal relationship between debt and growth in EMU countries. Journal of Policy Modeling, 37(6), 974–989. https://doi.org/10.1016/j.jpolmod.2015.09.004

Gómez-Puig, M., & Sosvilla-Rivero, S. (2018). Public debt and economic growth: Further evidence for the Euro area. Acta Oeconomica, 68(2), 209–229. https://doi.org/10.1556/032.2018.68.2.2

Gonzalez, A., Teräsvirta, T., & Van Dijk, D. (2005). Panel smooth transition regression models (Research Paper No. 165). Quantitative Finance Research Centre, University of Technology, Sydney.

Granger, C., & Newbold, P. (1974). Spurious regressions in econometrics. Journal of Econometrics, 2(2), 111–120. https://doi.org/10.1016/0304-4076(74)90034-7

Granger, C., & Terasvirta, T. (1993). Modelling non-linear economic relationships. Oxford University Press.

Greiner, A. (2011). Economic growth, public debt and welfare: Comparing three budgetary rules. German Economic Review, 12(2), 205–222. https://doi.org/10.1111/j.1468-0475.2010.00516.x

Hansen, B. (1996). Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica: Journal of the Econometric Society, 64(2), 413–430. https://doi.org/10.2307/2171789

Hansen, B. (2000). Sample splitting and threshold estimation. Econometrica, 68(3), 575–603. https://doi.org/10.1111/1468-0262.00124

Heimberger, P. (2023). Do higher public debt levels reduce economic growth?. Journal of Economic Surveys, 37(4), 1061–1089. https://doi.org/10.1111/joes.12536

Herndon, T., Ash, M., & Pollin, R. (2014). Does high public debt consistently stifle economic growth? A critique of Reinhart and Rogoff. Cambridge Journal of Economics, 38(2), 257–279. https://doi.org/10.1093/cje/bet075

Holtfrerich, C. (2013). Government debt in economic thought of the long 19th century (Discussion Paper No. 2013/4). Freie Universität Berlin, School of Business and Economics.

Hoshi, T., & Ito, T. (2014). Defying gravity: Can Japanese sovereign debt continue to increase without a crisis?. Economic Policy, 29(77), 5–44. https://doi.org/10.1111/1468-0327.12023

Huang, Y., Panizza, U., & Varghese, R. (2018). Does public debt crowd out corporate investment? International evidence (CEPR Discussion Paper No. DP12931). Centre for Economic Policy Research.

Johansen, S. (1991). Estimation and hypothesis testing of cointegration vectors in Gaussian vector autoregressive models. Econometrica: Journal of the Econometric Society, 59(6), 1551–1580. https://doi.org/10.2307/2938278

Johansen, S. (1995). Likelihood-based inference in cointegrated vector autoregressive models. Oxford University Press. https://doi.org/10.1093/0198774508.001.0001

Kapetanios, G. (2005). Unit-root testing against the alternative hypothesis of up to m structural breaks. Journal of Time Series Analysis, 26(1), 123–133. https://doi.org/10.1111/j.1467-9892.2005.00393.x

Kennedy, P. (2008). A guide to econometrics (6th ed.). Blackwell Publishing Ltd.

Kobayashi, K. (2015). Public debt overhang and economic growth. Public Policy Review, 11(2), 247–276.

Kourtellos, A., Stengos, T., & Tan, C. (2013). The effect of public debt on growth in multiple regimes. Journal of Macroeconomics, 38, 35–43. https://doi.org/10.1016/j.jmacro.2013.08.023

Krugman, P. (1988). Financing vs. forgiving a debt overhang. Journal of Development Economics, 29(3), 253–268. https://doi.org/10.1016/0304-3878(88)90044-2

Kumar, M., & Woo, J. (2010). Public debt and growth (IMF Working Paper No. 10/174). International Monetary Fund. https://doi.org/10.5089/9781455201853.001

Kwiatkowski, D., Phillips, P., Schmidt, P., & Shin, Y. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics, 54(1–3), 159–178. https://doi.org/10.1016/0304-4076(92)90104-Y

Law, S., Ng, C., Kutan, A., & Law, Z. (2021). Public debt and economic growth in developing countries: Nonlinearity and threshold analysis. Economic Modelling, 98, 26–40. https://doi.org/10.1016/j.econmod.2021.02.004

Le, T., & Phan, L. (2022). Examining The non-linear impact of external debt on economic convergence. Journal of Economic Integration, 37(3), 377–422. https://doi.org/10.11130/jei.2022.37.3.377

Lee, C., Ahmad, R., Karim, Z., & Khalid, N. (2023). Institutional quality, income level, and debt sustainability: new evidence using dynamic panel threshold regression. Technological and Economic Development of Economy, 29(5), 1520–1538. https://doi.org/10.3846/tede.2023.19247

Lundbergh, S., Teräsvirta, T., & Van Dijk, D. (2003). Time-varying smooth transition autoregressive models. Journal of Business & Economic Statistics, 21(1), 104–121. https://doi.org/10.1198/073500102288618810

Makun, K. (2021). External debt and economic growth in Pacific Island countries: A linear and nonlinear analysis of Fiji Islands. The Journal of Economic Asymmetries, 23, Article e00197. https://doi.org/10.1016/j.jeca.2021.e00197

Marcoulides, K., & Raykov, T. (2019). Evaluation of variance inflation factors in regression models using latent variable modeling methods. Educational and Psychological Measurement, 79(5), 874–882. https://doi.org/10.1177/0013164418817803

Marquez, N. (2000). Debt sustainability in the ECCB area. Social and Economic Studies, 49(2/3), 77–108.

Mátyás, L., Gourieroux, C., & Phillips, P. (1999). Generalized method of moments estimation. Cambridge University Press.

Minea, A., & Parent, A. (2012). Is high public debt always harmful to economic growth? Reinhart and Rogoff and some complex nonlinearities (CERDI, Etudes et Documents No. 18). https://shs.hal.science/halshs-00700471

Montañés, A., Olloqui, I., & Calvo, E. (2005). Selection of the break in the Perron-type tests. Journal of Econometrics, 129(1–2), 41–64. https://doi.org/10.1016/j.jeconom.2004.09.003

Munir, K., & Mehmood, N. (2018). Exploring the channels and impact of debt on economic growth: Evidence from South Asia. South Asia Economic Journal, 19(2), 171–191. https://doi.org/10.1177/1391561418794692

Mupunga, N., & Le Roux, P. (2015). Estimating the optimal growth-maximising public debt threshold for Zimbabwe. Southern African Business Review, 19(3), 102–128.

Narayan, P. (2005). The saving and investment nexus for China: Evidence from cointegration tests. Applied Economics, 37(17), 1979–1990. https://doi.org/10.1080/00036840500278103

Ng, S., & Perron, P. (2001). Lag length selection and the construction of unit root tests with good size and power. Econometrica, 69(6), 1519–1554. https://doi.org/10.1111/1468-0262.00256

Ogaki, M. (1993). Generalized method of moments: Econometric applications. In G. Maddala, C. Rao, & H. Vinod (Eds.), Handbook of statistics (vol. 11, pp. 455–488). Elsevier. https://doi.org/10.1016/S0169-7161(05)80052-5

Okwoche, P., & Nikolaidou, E. (2022). Public debt, growth, and threshold effects: A comparative analysis based on income categories (Discussion Paper No. 2022–02). School of Economics, University of Cape Town, South Africa.

Osińska, M., Kufel, T., Błażejowski, M., & Kufel, P. (2020). Modeling mechanism of economic growth using threshold autoregression models. Empirical Economics, 58(3), 1381–1430. https://doi.org/10.1007/s00181-018-1560-2

Owusu‐Nantwi, V., & Erickson, C. (2016). Public debt and economic growth in Ghana. African Development Review, 28(1), 116–126. https://doi.org/10.1111/1467-8268.12174

Oyadeyi, O., Agboola, O., Okunade, S., & Osinubi, T. (2024). The debt-growth nexus and debt sustainability in Nigeria: Are there reasons to be concerned? Journal of Policy Modeling, 46(1), 129–152. https://doi.org/10.1016/j.jpolmod.2023.11.004

Panizza, U., & Presbitero, A. (2012). Is high public debt harmful for economic growth? New evidence. In G. Corsetti (Ed.), Austerity: Too much of a good thing? (pp. 91–96). Citeseer, Pennsylvania State University.

Panizza, U., & Presbitero, A. (2013). Public debt and economic growth in advanced economies: A survey. Swiss Journal of Economics and Statistics, 149(2), 175–204. https://doi.org/10.1007/BF03399388

Pattillo, C., Gulde, A., Carey, K., Wagh, S., & Christensen, J. (2006). Sub-Saharan Africa: Financial sector challenges. International Monetary Fund. https://doi.org/10.5089/9781589065659.071

Pereira, A., & Rodrigues, P. (2001). Public debt and economic performance (DGEP Working Paper No. 20). Ministry of Finance, Portugal.

Pesaran, M., & Shin, Y. (1997). An Autoregressive distributed-lag modelling approach to cointegration analysis. Econometrics and Economic Theory in the 20th Century, 31, 371–413. https://doi.org/10.1017/CCOL521633230.011

Pesaran, M., Shin, Y., & Smith, R. (2001). Bounds testing approaches to the analysis of level relationships. Journal of Applied Econometrics, 16(3), 289–326. https://doi.org/10.1002/jae.616

Phillips, P. (1988). Regression theory for near-integrated time series. Econometrica: Journal of the Econometric Society, 56(5), 1021–1043. https://doi.org/10.2307/1911357

Phillips, P., & Hansen, B. (1990). Statistical inference in instrumental variables regression with I(1) processes. The Review of Economic Studies, 57(1), 99–125. https://doi.org/10.2307/2297545

Phillips, P., & Ouliaris, S. (1990). Asymptotic properties of residual based tests for cointegration. Econometrica, 58(1), 165–193. https://doi.org/10.2307/2938339

Phillips, P., & Perron, P. (1988). Testing for a unit root in time series regression. Biometrika, 75(2), 335–346. https://doi.org/10.1093/biomet/75.2.335

Phiri, A. (2020). Endogenous monetary approach to optimal inflation–growth nexus in Swaziland. African Journal of Economic and Management Studies, 11(4), 559–571. https://doi.org/10.1108/AJEMS-07-2018-0217

Potter, S. (1999). Nonlinear time series modelling: An introduction. Journal of Economic Surveys, 13(5), 505–528. https://doi.org/10.1111/1467-6419.00096

Pratibha, S., & Muniyoor, K. (2025). India’s debt dilemma: Investigating threshold, primary surplus, and institutional quality. Journal of Emerging Market Finance, 24(4), 439–460. https://doi.org/10.1177/09726527251345112

Reinhart, C., Reinhart, V., & Rogoff, K. (2012). Public debt overhangs: Advanced-economy episodes since 1800. Journal of Economic Perspectives, 26(3), 69–86. https://doi.org/10.1257/jep.26.3.69

Reinhart, C., & Rogoff, K. (2009). This time is different: Eight centuries of financial folly. Princeton University Press. https://doi.org/10.1515/9781400831722

Reinhart, C., & Rogoff, K. (2010a). Debt and growth revisited (MPRA Paper 24376). University Library of Munich, Germany. https://mpra.ub.uni-muenchen.de/id/eprint/24376

Reinhart, C., & Rogoff, K. (2010b). Growth in a time of debt. American Economic Review, 100(2), 573–578. https://doi.org/10.1257/aer.100.2.573

Sam, C., McNown, R., & Goh, S. (2019). An augmented autoregressive distributed lag bounds test for cointegration. Economic Modelling, 80, 130–141. https://doi.org/10.1016/j.econmod.2018.11.001

Schclarek, A. (2004). Debt and economic growth in developing and industrial countries (Working Paper No. 34). School of Economics and Management, Department of Economics, Lund University.

Schwarz, G. (1978). Estimating the dimension of a model. The Annals of Statistics, 6(2), 461–464. https://doi.org/10.1214/aos/1176344136

Schwert, W. (1989). Tests for unit roots: A Monte Carlo investigation. Journal of Business & Economic Statistics, 20(1), 5–17. https://doi.org/10.1198/073500102753410354

Stock, J., & Watson, M. (2020). Introduction to econometrics (4th ed.). Pearson Education.

Szabó, Z. (2013). The effect of sovereign debt on economic growth and economic development. Public Finance Quarterly = Pénzügyi Szemle, 58(3), 251–270.

Tanna, S., Li, C., & De Vita, G. (2018). The role of external debt in the foreign direct investment–growth relationship. International Journal of Finance & Economics, 23(4), 393–412. https://doi.org/10.1002/ijfe.1628

Taylor, M., Peel, D., & Sarno, L. (2001). Nonlinear mean‐reversion in real exchange rates: Toward a solution to the purchasing power parity puzzles. International Economic Review, 42(4), 1015–1042. https://doi.org/10.1111/1468-2354.00144

Teräsvirta, T. (1994). Specification, estimation, and evaluation of smooth transition autoregressive models. Journal of the American Statistical Association, 89(425), 208–218. https://doi.org/10.1080/01621459.1994.10476462

Uzun, A., Karakoy, C., Kabadayi, B., & Emsen, O. (2012). The impacts of external debt on economic growth in transition economies. Chinese Business Review, 11(5), 491–499. https://doi.org/10.17265/1537-1506/2012.05.009

Wooldridge, J. (2020). Introductory econometrics: A modern approach (7th ed.). Cengage Learning, Inc.

Zhang, L. (2017). Modeling the phillips curve in China: A nonlinear perspective. Macroeconomic Dynamics, 21(2), 439–461. https://doi.org/10.1017/S1365100515000577

Zivot, E., & Andrews, D. (1992). Further evidence on the great crash, the oil-price shock, and the unit-root hypothesis. Journal of Business and Economic Statistics, 10(3), 251–270. https://doi.org/10.1080/07350015.1992.10509904

Zivot, E., & Wang, J. (2005). Modeling financial time series with S-plus (2nd ed.). Springer.

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Maher, M., Mostafa, M. G. A., Awad, E. A. A., Hassan, R. F. M., & Mater, M. A. M. (2026). The debt threshold in the context of debt sustainability: a comparison between Egypt and Japan using the LSTR approach. Technological and Economic Development of Economy, 1-28. https://doi.org/10.3846/tede.2026.28167

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