Detecting business cycles for Hungarian leading and coincident indicators with a Markov switching dynamic model to improve sustainability in economic growth
Abstract
This paper applies the hidden Markov switching dynamic regression (MSDR) model to estimate transition probabilities of the Hungarian GDP between recessionary and expansionary periods. The transition probabilities are then compared to the OECD Hungarian binary business cycle indicator to assess the predictive power of the model. The paper proposes a linear model with a mean and a homoscedastic component. The level of symmetricity between the GDP and business cycles is explained by the panel data variables (Unemployment rate, IPI index, Inflation, BUX year-on-year change, and 10-3 Year sovereign bond yield spreads). It is assumed in this paper that by extending the model to encompass an exogenous variable listed in the panel data, essentially making the model bivariate, the maximum likelihood function would capture the business cycle more accurately. The results show that by plugging the unemployment rate as the exogenous variable in the regression, our model’s accuracy is 70%.
Downloads
References
Afreen, M. (2021). Transition assessment of the bangladeshi financial market stress regimes: a markov switching modeling approach. International Journal of Social Sciences and Economic Review, 3(1), 7–11.
Artis, M. J., Krolzig, H. M., & Toro, J. (2004). The European Business Cycle. Oxford Economic Papers, 56, 1–44. DOI: https://doi.org/10.1093/oep/56.1.1
Arturo Estrella, & Frederic Mishkin. (1998). Predicting U.S. Recessions: Financial Variables As Leading Indicators. The Review of Economics and Statistics, 80, 45–61. DOI: https://doi.org/10.1162/003465398557320
Balcilar, M., Gupta, R., & Miller, S. M. (2015). Regime switching model of US crude oil and stock market prices: 1859 to 2013. . Energy Economics, 49, 317–327. DOI: https://doi.org/10.1016/j.eneco.2015.01.026
Bandholz, Η. (2005). New Composite Leading Indicators for Hungary and Poland. Ifo Institute - Leibniz Institute for Economic Research at the University of Munich. Working paper 3.
Baydaş, M., & Elma, O. E. (2021). An objectıve criteria proposal for the comparison of MCDM and weighting methods in financial performance measurement: An application in Borsa Istanbul. Decision Making. Applications in Management and Engineering, 4(2), 257–279. DOI: https://doi.org/10.31181/dmame210402257b
Bilgili, F., Ulucak, R., Koçak, E., & İlkay, S. Ç. (2020). Does globalization matter for environmental sustainability? Empirical investigation for Turkey by Markov regime switching models. . Environmental Science and Pollution Research, 27(1), 1087–1100.
Blanchard, O. J., & Quah, D. (1989). The dynamic effects of aggregate demand and supply disturbance. American Economic Review, 79, 655–673. DOI: https://doi.org/10.3386/w2737
Burns, A. F., & Mitchell, W. C. (1946). Measuring business cycles . National Bureau of Economic Research , 46(1), 3–38.
Carstensen, K., Heinrich, M., Reif, M., & Wolters, M. H. (2020). Predicting ordinary and severe recessions with a three-state Markov-switching dynamic factor model: An application to the German business cycle. International Journal of Forecasting, 36(3), 829–850. https://doi.org/DOI: 10.1016/j.ijforecast.2019.09.005
Chauvet, M. (1998). An Econometric Characterization of Business Cycle Dynamics with Factor Structure and Regime Switching. International Economic Review, 39, 969–996. DOI: https://doi.org/10.2307/2527348
Chen, S.-W., & Chen, S.-W. (2000). Identifying turning points and business cycles in Taiwan: A multivariate dynamic Markov-switching factor model approach. Economic Papers, 31(28), 289–320.
Darvas Zsolt, & Szapáry György. (2008). Business Cycle Synchronization in the Enlarged EU. Open Economies Review, 19, 1–19. https://doi.org/10.1007/s11079-007-9027-7 DOI: https://doi.org/10.1007/s11079-007-9027-7
Date, S. (2022). Introduction to Discrete Time Markov Processes. Https://Timeseriesreasoning.Com/Contents/Introduction-to-Discrete-Time-Markov-Processes/.
Davig, T., & Hall, A. S. (2019). Recession forecasting using Bayesian classification. International Journal of Forecasting, 35(3), 848–867.
Di Giorgio, C. (2016). Business Cycle Synchronization of CEECs with the Euro Area: A Regime Switching Approach. JCMS: Journal of Common Market Studies, 54(2), 284–300. DOI: https://doi.org/10.1111/jcms.12302
Diebold, F. X., & Rudebusch, G. (1996). Measuring Business Cycles: A Modern Perspective. Review of Economics and Statistics, 78, 67–77. DOI: https://doi.org/10.2307/2109848
Filardo, A. J. (1994). Business-cycle phases and their transitional dynamics. Journal of Business & Economic Statistics, 12, 299–308. DOI: https://doi.org/10.1080/07350015.1994.10524545
Goldfeld, S. M., & Quandt, R. E. (1973). A Markov model for switching regressions. . Journal of Econometrics, 1(1), 3–15. DOI: https://doi.org/10.1016/0304-4076(73)90002-X
Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424–438. DOI: https://doi.org/10.2307/1912791
Hamilton, J. D. (1989). A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle. Econometrica, 57(2), 357–384. DOI: https://doi.org/10.2307/1912559
Hoque, M. E., & Zaidi, M. A. S. (2019). The impacts of global economic policy uncertainty on stock market returns in regime switching environment: Evidence from sectoral perspectives. International Journal of Finance & Economics, 24(2), 991–1016.
Kim Chang-Jin, & Nelson Charles R. (2017). State Space Model with Regime Switching: Classical and Gibbs-Sampling Approaches with Applications. The MIT Press. https://doi.org/doi.org/10.7551/mitpress/6444.001.0001. DOI: https://doi.org/10.7551/mitpress/6444.001.0001
Koopmans, T. C. (1947). Measurement Without Theory. The Review of Economics and Statistics, 29(3), 161–172. DOI: https://doi.org/10.2307/1928627
Krozlig, H. M. (1997). International business cycles: Regime shifts in the stochastic process of economic growth. Economics Series Working Papers, University of Oxford, Department of Economics.
Kuan, C. M. (2002). Lecture on the Markov switching model. Institute of Economics Academia Sinica, 8(15), 1–30.
Layton, A. P., & Smith, D. (2000). A further note on the three phrases of the US business cycle. Applied Economics, 32, 1133–1143. DOI: https://doi.org/10.1080/000368400404272
Leon Li, Ming-Yuan, William Lin, Hsiou-Wei, & Hsiu-hua Rau. (2005). The performance of the Markov-switching model on business cycle identification revisited. Applied Economics Letters, 12(8), 513–520. DOI: https://doi.org/10.1080/13504850500119963
Linne, T. (2002). A Markov switching model of stock returns: An application to the emerging markets in Central and Eastern Europe. Charemza, W.W., Strzała, K. (Eds) East European Transition and EU Enlargement. Contributions to Economics. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57497-9_23. DOI: https://doi.org/10.1007/978-3-642-57497-9_23
McGrane Michael. (2022). A Markov-Switching Model of the Unemployment Rate. Congressional Budget Office. Washington, D.C Working Paper , 5. https://www.cbo.gov/publication/57582
Medhioub Imed. (2015). A Markov Switching Three Regime Model of Tunisian Business Cycle. American Journal of Economics, 5(3), 394–403. https://doi.org/doi:10.5923/j.economics.20150503.11
Moore, T., & Wang, P. (2007). Volatility in stock returns for new EU member states: Markov regime switching model. International Review of Financial Analysis, 16(3), 282–292. DOI: https://doi.org/10.1016/j.irfa.2007.03.006
Neftçi, S. N. (1984). Are Economic Time Series Asymmetric over the Business Cycle. Journal of Political Economy, 92(2), 307–328. DOI: https://doi.org/10.1086/261226
StatsModels Regime switching Markov regression. (2022) https://www.statsmodels.org/dev/generated/statsmodels.tsa.regime_switching.markov_regression.MarkovRegression.html/ Accessed August 18 2022 .
Perlin Marcelo. (2015). MS_Regress-the Matlab package for markov regime switching models. https://doi.org/doi.org/10.2139/ssrn.1714016
Petreski, M. (2011). A Markov switch to inflation targeting in emerging market peggers with a focus on the Czech Republic, Poland and Hungary. Focus on European Economic Integration, 3(11), 47–63.
Piger, J. (2009). Econometrics: Models of regime changes. In Complex systems in finance and econometrics. Springer, 190–202. DOI: https://doi.org/10.1007/978-1-4419-7701-4_10
Poon, A., & Zhu, D. (2022). Do recessions occur concurrently across countries? A multinomial logistic approach. Örebro University School of Business , Working paper 11.
Sagar, P., Gupta, P., & Tanwar, R. (2021). A novel prediction algorithm for multivariate data sets. Decision Making. Applications in Management and Engineering, 4(2), 225–240. DOI: https://doi.org/10.31181/dmame210402215s
Sharma, H. K., Kumari, K., & Kar, S. (2020). A rough set approach for forecasting models. Decision Making. Applications in Management and Engineering, 3(1), 1–21. DOI: https://doi.org/10.31181/dmame2003001s
Shaw, E. S. (1947). Burns and Mitchell on Business Cycles. Journal of Political Economy, 55(4), 281–298. DOI: https://doi.org/10.1086/256533
Siničáková, M. (2017). Detecting Business Cycles and Concordance of the Demand-based Classified Production of the Visegrad Countries–Regime Switching Approach . Ekonomicky Casopis, 65(10), 899–917.
SPULBĂR, P. C., NIŢOI, A. P., & STANCIU, L. P. C. (2012). Identifying the Industry Business Cycle Using the Markov Switching Approach in Central and Eastern Europe. Management & Marketing-Craiova, 2, 293–300.
Stock, J. H. (1987). Measuring business cycle time. Journal of Political Economy, 95(6), 1240–1261. DOI: https://doi.org/10.1086/261513
Stock, J. H. , M. W. W. (1991). A Probability Model of the Coincident Economic Indicators. Leading Economic Indicators: New Approaches and Forecasting Records Cambridge: Cambridge University Press, 63–89. https://doi.org/10.1017/CBO9781139173735.005 DOI: https://doi.org/10.1017/CBO9781139173735.005
Tuaneh, G., Essi, I., & Etuk, E. (2021). Markov-Switching Vector Autoregressive (MS-VAR) Modelling (Mean Adjusted): Application to Macroeconomic data. Archives of Business Research, 9, 261–274.