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Bayesian Estimation of Stochastic-Transition Markov-Switching Models for Business Cycle Analysis

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  • Monica Billio
  • Roberto Casarin

Abstract

We propose a new class of Markov-switching (MS) models for business cycle analysis. As usually done in the literature, we assume that the MS latent factor is driving the dynamics of the business cycle but the transition probabilities can vary randomly over time. Transition probabilities are generated by random processes which may account for the stochastic duration of the regimes and for possible stochastic relations between the MS probabilities and some explanatory variables, such as autoregressive components and exogenous variables. The presence of latent factors and nonlinearities calls for the use of simulation-based inference methods. We propose a full Bayesian inference approach which can be naturally combined with Monte Carlo methods. We discuss the choice of the priors and a Markov-chain Monte Carlo (MCMC) algorithm for estimating the parameters and the latent variables. We provide an application of the model and of the MCMC procedure to data of Euro area. We also carry out a real-time comparison between different models by employing sequential Monte Carlo methods and some concordance statistics, which are widely used in business cycle analysis.

Suggested Citation

  • Monica Billio & Roberto Casarin, 2010. "Bayesian Estimation of Stochastic-Transition Markov-Switching Models for Business Cycle Analysis," Working Papers 1002, University of Brescia, Department of Economics.
  • Handle: RePEc:ubs:wpaper:1002
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    1. Francesco Menoncin & Paolo M. Panteghini, 2013. "The Johansson-Samuelson Theorem in General Equilibrium: A Rebuttal," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 69(1), pages 57-71, March.
    2. Raffaele Miniaci & Sergio Pastorello, 2010. "Mean-variance econometric analysis of household portfolios," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(3), pages 481-504.
    3. Del Boca, Alessandra & Fratianni, Michele & Spinelli, Franco & Trecroci, Carmine, 2010. "The Phillips curve and the Italian lira, 1861-1998," The North American Journal of Economics and Finance, Elsevier, vol. 21(2), pages 182-197, August.
    4. Roberto Casarin & Andrea Piva & Loriana Pelizzon, 2008. "Italian Equity Funds: Efficiency and Performance Persistence," The IUP Journal of Financial Economics, IUP Publications, vol. 0(1), pages 7-28, March.
    5. Gianni Amisano & Roberto Casarin, 2008. "Particle Filters for Markov-Switching Stochastic-Correlation Models," Working Papers 0814, University of Brescia, Department of Economics.
    6. Paolo M. Panteghini, 2012. "Corporate Debt, Hybrid Securities, and the Effective Tax Rate," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(1), pages 161-186, February.
    7. Gianni Amisano & Roberto Savona, 2007. "Imperfect Predictability and Mutual Fund Dynamics: How Managers Use Predictors in Changing Systematic Risk," Working Papers 0706, University of Brescia, Department of Economics.
    8. Paolo M. Panteghini, 2009. "On the equivalence between labor and consumption taxation," Economics Bulletin, AccessEcon, vol. 29(2), pages 622-629.
    9. Michele Moretto & Sergio Vergalli, 2008. "Managing Migration through Quotas: an Option-theory Perspective," Working Papers 2008.51, Fondazione Eni Enrico Mattei.
    10. Andersson, Ola & Galizzi, Matteo M. & Hoppe, Tim & Kranz, Sebastian & der Wiel, Karen van & Wengström, Erik, 2010. "Persuasion in experimental ultimatum games," Economics Letters, Elsevier, vol. 108(1), pages 16-18, July.
    11. Alessandro Fedele & Paolo M. Panteghini & Sergio Vergalli, 2011. "Optimal Investment and Financial Strategies under Tax‐Rate Uncertainty," German Economic Review, Verein für Socialpolitik, vol. 12(4), pages 438-468, November.
    12. Amedeo Fossati & Rosella Levaggi, 2008. "Delay is not the answer: waiting time in health care & income redistribution," Working Papers 0801, University of Brescia, Department of Economics.
    13. Amisano, Gianni & Tristani, Oreste, 2010. "Euro area inflation persistence in an estimated nonlinear DSGE model," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 1837-1858, October.
    14. Francesco Menoncin & Paolo Panteghini, 2009. "Retrospective Capital Gains taxation in the real world," Working Papers 0910, University of Brescia, Department of Economics.
    15. Olivier Darné & Laurent Ferrara, 2011. "Identification of Slowdowns and Accelerations for the Euro Area Economy," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(3), pages 335-364, June.
    16. Laura Levaggi & Rosella Levaggi, 2007. "Regulation Strategies for Public Service Provision," Working Papers 0707, University of Brescia, Department of Economics.
    17. Chiara D'Alpaos & Michele Moretto & Paola Valbonesi & Sergio Vergalli, 2009. "It is never too late: Optimal penalty for investment delay in public procurement contracts," Working Papers 0907, University of Brescia, Department of Economics.
    18. John Geweke & Gianni Amisano, 2011. "Hierarchical Markov normal mixture models with applications to financial asset returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(1), pages 1-29, January/F.
    19. Chiara Dalle Nogare & Matteo Galizzi, 2011. "The political economy of cultural spending: evidence from Italian cities," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 35(3), pages 203-231, August.
    20. Rosella Levaggi & Francesco Menoncin, 2007. "A note on optimal tax evasion in the presence of merit goods," Working Papers 0702, University of Brescia, Department of Economics.
    21. Fedele , Alessandro & Miniaci, Raffaaele, 2010. "Do Social Enterprises Finance Their Investments Differently from For-proft Firms?," AICCON Working Papers 72-2010, Associazione Italiana per la Cultura della Cooperazione e del Non Profit.
    22. Rosella Levaggi & Francesco Menoncin, 2009. "Decentralized provision of merit and impure public goods," Working Papers 0909, University of Brescia, Department of Economics.
    23. Sergio Vergalli, 2006. "Entry and Exit Strategies in Migration Dynamics," Working Papers 2006.123, Fondazione Eni Enrico Mattei.
    24. DREZE, Jacques H. & LACHIRI, Oussama & MINELLI, Enrico, 2009. "Stock prices, anticipations and investment in general equilibrium," CORE Discussion Papers 2009083, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    25. Vesa Kanniainen & Paolo M. Panteghini, 2013. "Tax Neutrality: Illusion or Reality? The Case of Entrepreneurship," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 69(2), pages 167-193, June.
    26. Alessandro Bucciol & Raffaele Miniaci, 2008. "Household Portfolios and Implicit Risk Aversion," Working Papers 0808, University of Brescia, Department of Economics.
    27. Rosella Levaggi, 2008. "Decentralisation vs fiscal federalism in the presence of impure public goods," Working Papers 0812, University of Brescia, Department of Economics.
    28. Durland, J Michael & McCurdy, Thomas H, 1994. "Duration-Dependent Transitions in a Markov Model of U.S. GNP Growth," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 279-288, July.
    29. Paolo Buonanno & Matteo M. Galizzi, 2009. "Advocatus, et non latro? Testing the supplier-induced demand hypothesis for Italian courts of justice," Working Papers 0914, University of Brescia, Department of Economics.
    30. Laura Levaggi & Rosella Levaggi, 2009. "Welfare properties of restrictions to health care services based on cost effectiveness," Working Papers 0902, University of Brescia, Department of Economics.
    31. Bisin, A. & Geanakoplos, J.D. & Gottardi, P. & Minelli, E. & Polemarchakis, H., 2011. "Markets and contracts," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 279-288.
    32. Mauro Ghinamo & Paolo Panteghini & Federico Revelli, 2010. "FDI determination and corporate tax competition in a volatile world," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 17(5), pages 532-555, October.
    33. Alessandra Del Boca & Michele Fratianni & Franco Spinelli & Carmine Trecroci, 2009. "Wage Bargaining Coordination and the Phillips Curve in Italy," Working Papers 0901, University of Brescia, Department of Economics.
    34. Roberto Casarin & Domenico Sartore, 2007. "Matrix-State Particle Filter for Wishart Stochastic Volatility Processes," Working Papers 2007_30, Department of Economics, University of Venice "Ca' Foscari".
    35. Roberto Casarin & Jean-Michel Marin, 2007. "Online data processing: comparison of Bayesian regularized particle filters," Working Papers 0703, University of Brescia, Department of Economics.
    36. Levaggi, Rosella, 2010. "From local to global public goods: How should externalities be represented?," Economic Modelling, Elsevier, vol. 27(5), pages 1040-1042, September.
    37. Amisano, Gianni & Geweke, John, 2007. "Hierarchical Markov normal mixture models with applications to financial asset returns," Working Paper Series 831, European Central Bank.
    38. Amisano, Gianni & Savona, Roberto, 2008. "Imperfect predictability and mutual fund dynamics. How managers use predictors in changing systematic risk," Working Paper Series 881, European Central Bank.
    39. Matteo M. Galizzi, 2009. "Bargaining and Networks in a Gas Bilateral Oligopoly," Working Papers 0906, University of Brescia, Department of Economics.
    40. Alessandro Fedele & Francesco Liucci & Andrea Mantovani, 2009. "Credit availability in the crisis: the European investment bank group," Working Papers 0913, University of Brescia, Department of Economics.
    41. Federico Biagi & Maria Laura Parisi & Lucia Vergano, 2008. "Organizational Innovations and Labor Productivity in a Panel of Italian Manufacturing Firms," Working Papers 0813, University of Brescia, Department of Economics.
    42. Stefano Capri & Rosella Levaggi, 2008. "Drug pricing and risk sharing agreements," Working Papers 0810, University of Brescia, Department of Economics.
    43. Laura Poddi & Sergio Vergalli, 2008. "Does Corporate Social Responsibility Affect Firms' Performance?," Working Papers 0809, University of Brescia, Department of Economics.
    44. Monica Billio & Roberto Casarin, 2008. "Identifying Business Cycle Turning Points with Sequential Monte Carlo Methods," Working Papers 0815, University of Brescia, Department of Economics.
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    Cited by:

    1. Stéphane Goutte & Benteng Zou, 2012. "Continuous time regime switching model applied to foreign exchange rate," Working Papers hal-00643900, HAL.
    2. Stéphane GOUTTE & Benteng Zou, 2011. "Foreign exchange rates under Markov Regime switching model," CREA Discussion Paper Series 11-16, Center for Research in Economic Analysis, University of Luxembourg.
    3. Sylvia Kaufmann, 2011. "K-state switching models with endogenous transition distributions," Working Papers 2011-13, Swiss National Bank.

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