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Analyzing business and financial cycles using multi-level factor models

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  • Breitung, Jörg
  • Eickmeier, Sandra

Abstract

This paper compares alternative estimation procedures for multi-level factor models which imply blocks of zero restrictions on the associated matrix of factor loadings. We suggest a sequential least squares algorithm for minimizing the total sum of squared residuals and a two-step approach based on canonical correlations that are much simpler and faster than Bayesian approaches previously employed in the literature. Monte Carlo simulations suggest that the estimators perform well in typical sample sizes encountered in the factor analysis of macroeconomic data sets. We apply the methodologies to study international comovements of business and financial cycles as well as asymmetries over the business cycle in the US.

Suggested Citation

  • Breitung, Jörg & Eickmeier, Sandra, 2014. "Analyzing business and financial cycles using multi-level factor models," Discussion Papers 11/2014, Deutsche Bundesbank.
    • Handle: RePEc:zbw:bubdps:112014
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    1. Kaufmann, Sylvia & Schumacher, Christian, 2012. "Finding relevant variables in sparse Bayesian factor models: Economic applications and simulation results," Discussion Papers 29/2012, Deutsche Bundesbank.
    2. Moen, Jon R. & Tallman, Ellis W., 2000. "Clearinghouse Membership and Deposit Contraction during the Panic of 1907," The Journal of Economic History, Cambridge University Press, vol. 60(1), pages 145-163, March.
    3. Nason, James M. & Tallman, Ellis W., 2015. "Business Cycles And Financial Crises: The Roles Of Credit Supply And Demand Shocks," Macroeconomic Dynamics, Cambridge University Press, vol. 19(4), pages 836-882, June.
    4. Breitung, Jörg & Tenhofen, Jörn, 2011. "GLS Estimation of Dynamic Factor Models," Journal of the American Statistical Association, American Statistical Association, vol. 106(495), pages 1150-1166.
    5. Hideaki Hirata & M. Ayhan Kose & Chris Otrok, "undated". "Regionalization vs. Globalization," Working Paper 164456, Harvard University OpenScholar.
    6. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    7. Marcelle Chauvet & James D. Hamilton, 2006. "Dating Business Cycle Turning Points," Contributions to Economic Analysis, in: Nonlinear Time Series Analysis of Business Cycles, pages 1-54, Emerald Group Publishing Limited.
    8. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-248, April.
    9. Claessens, Stijn & Kose, M. Ayhan & Terrones, Marco E., 2012. "How do business and financial cycles interact?," Journal of International Economics, Elsevier, vol. 87(1), pages 178-190.
    10. Peersman, Gert & Smets, Frank, 2001. "Are the effects of monetary policy in the euro area greater in recessions than in booms?," Working Paper Series 52, European Central Bank.
    11. Sandra Eickmeier & Christina Ziegler, 2008. "How successful are dynamic factor models at forecasting output and inflation? A meta-analytic approach," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(3), pages 237-265.
    12. Ball, Laurence & Mankiw, N Gregory, 1994. "Asymmetric Price Adjustment and Economic Fluctuations," Economic Journal, Royal Economic Society, vol. 104(423), pages 247-261, March.
    13. Carmen M. Reinhart & Kenneth S. Rogoff, 2009. "Varieties of Crises and Their Dates," Introductory Chapters, in: This Time Is Different: Eight Centuries of Financial Folly, Princeton University Press.
    14. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    15. Jon Faust & Simon Gilchrist & Jonathan H. Wright & Egon Zakrajšsek, 2013. "Credit Spreads as Predictors of Real-Time Economic Activity: A Bayesian Model-Averaging Approach," The Review of Economics and Statistics, MIT Press, vol. 95(5), pages 1501-1519, December.
    16. Christophe André, 2010. "A Bird's Eye View of OECD Housing Markets," OECD Economics Department Working Papers 746, OECD Publishing.
    17. Guenter W. Beck & Kirstin Hubrich & Massimiliano Marcellino, 2016. "On the Importance of Sectoral and Regional Shocks for Price‐Setting," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1234-1253, November.
    18. Mahadeva,Lavan & Sinclair,Peter (ed.), 2002. "Monetary Transmission in Diverse Economies," Cambridge Books, Cambridge University Press, number 9780521813464, October.
    19. M. Ayhan Kose & Eswar S. Prasad & Marco E. Terrones, 2003. "How Does Globalization Affect the Synchronization of Business Cycles?," American Economic Review, American Economic Association, vol. 93(2), pages 57-62, May.
    20. Kirstin Hubrich & Guenter Beck & Massimiliano Marcellino, 2000. "Regional Inflation Dynamics within and across Euro Area Countries and a Comparison with the US," Regional and Urban Modeling 283600037, EcoMod.
    21. Weidenmier, Marc, 2010. "This Time is Different: Eight Centuries of Financial Folly. By Carmen Reinhart and Kenneth Rogoff. Princeton, NJ: Princeton University Press, 2009. $35.00," The Journal of Economic History, Cambridge University Press, vol. 70(3), pages 766-768, September.
    22. Eickmeier, Sandra, 2007. "Business cycle transmission from the US to Germany--A structural factor approach," European Economic Review, Elsevier, vol. 51(3), pages 521-551, April.
    23. Negro, Marco Del & Schorfheide, Frank, 2013. "DSGE Model-Based Forecasting," Handbook of Economic Forecasting, in: G. Elliott & C. Granger & A. Timmermann (ed.), Handbook of Economic Forecasting, edition 1, volume 2, chapter 0, pages 57-140, Elsevier.
    24. M. Ayhan Kose & Christopher Otrok & Eswar Prasad, 2012. "Global Business Cycles: Convergence Or Decoupling?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(2), pages 511-538, May.
    25. John B. Taylor, 2012. "The Great Deviation," Book Chapters, in: Evan F. Koenig & Robert Leeson & George A. Kahn (ed.), The Taylor Rule and the Transformation of Monetary Policy, chapter 7, Hoover Institution, Stanford University.
    26. Lopez-Salido, David & Nelson, Edward, 2010. "Postwar Financial Crises and Economic Recoveries in the United States," MPRA Paper 98502, University Library of Munich, Germany.
    27. Antonello D’ Agostino & Domenico Giannone, 2012. "Comparing Alternative Predictors Based on Large‐Panel Factor Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(2), pages 306-326, April.
    28. M. Ayhan Kose & Christopher Otrok & Charles H. Whiteman, 2003. "International Business Cycles: World, Region, and Country-Specific Factors," American Economic Review, American Economic Association, vol. 93(4), pages 1216-1239, September.
    29. Gregory, Allan W. & Head, Allen C., 1999. "Common and country-specific fluctuations in productivity, investment, and the current account," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 423-451, December.
    30. Eickmeier, Sandra & Hofmann, Boris, 2013. "Monetary Policy, Housing Booms, And Financial (Im)Balances," Macroeconomic Dynamics, Cambridge University Press, vol. 17(4), pages 830-860, June.
    31. Hallin, Marc & Liska, Roman, 2011. "Dynamic factors in the presence of blocks," Journal of Econometrics, Elsevier, vol. 163(1), pages 29-41, July.
    32. Liebermann, Joelle, 2012. "Real-time forecasting in a data-rich environment," MPRA Paper 39452, University Library of Munich, Germany.
    33. Knut Are Aastveit & Hilde C. Bjørnland & Leif Anders Thorsrud, 2016. "The World Is Not Enough! Small Open Economies and Regional Dependence," Scandinavian Journal of Economics, Wiley Blackwell, vol. 118(1), pages 168-195, January.
    34. Boivin, Jean & Ng, Serena, 2006. "Are more data always better for factor analysis?," Journal of Econometrics, Elsevier, vol. 132(1), pages 169-194, May.
    35. Knut Are Aastveit & Hilde C. Bjørnland & Leif Anders Thorsrud, 2016. "The World Is Not Enough! Small Open Economies and Regional Dependence," Scandinavian Journal of Economics, Wiley Blackwell, vol. 118(1), pages 168-195, January.
    36. Jörg Breitung & Uta Pigorsch, 2013. "A Canonical Correlation Approach for Selecting the Number of Dynamic Factors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(1), pages 23-36, February.
    37. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
    38. Boris Hofmann & Bilyana Bogdanova, 2012. "Taylor rules and monetary policy: a global "Great Deviation"?," BIS Quarterly Review, Bank for International Settlements, September.
    39. Leif Anders Thorsrud, 2013. "Global and regional business cycles. Shocks and propagations," Working Paper 2013/08, Norges Bank.
    40. Goodwin, Thomas H, 1993. "Business-Cycle Analysis with a Markov-Switching Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(3), pages 331-339, July.
    41. Leif Anders Thorsrud, 2013. "Global and regional business cycles. Shocks and propagations," Working Paper 2013/08, Norges Bank.
    42. Stock J.H. & Watson M.W., 2002. "Forecasting Using Principal Components From a Large Number of Predictors," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 1167-1179, December.
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    3. Strohsal, Till & Proaño, Christian R. & Wolters, Jürgen, 2019. "Characterizing the financial cycle: Evidence from a frequency domain analysis," Journal of Banking & Finance, Elsevier, vol. 106(C), pages 568-591.
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    8. Laura E. Jackson & M. Ayhan Kose & Christopher Otrok & Michael T. Owyang, 2016. "Specification and Estimation of Bayesian Dynamic Factor Models: A Monte Carlo Analysis with an Application to Global House Price Comovement," Advances in Econometrics, in: Dynamic Factor Models, volume 35, pages 361-400, Emerald Group Publishing Limited.
    9. Till Strohsal & Christian R. Proaño & Jürgen Wolters, 2019. "Assessing the cross-country interaction of financial cycles: evidence from a multivariate spectral analysis of the USA and the UK," Empirical Economics, Springer, vol. 57(2), pages 385-398, August.
    10. Gerhard Rünstler & Marente Vlekke, 2018. "Business, housing, and credit cycles," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(2), pages 212-226, March.
    11. Hakan Kara & Pinar Ozlu & Deren Unalmis, 2015. "Turkiye icin Finansal Kosullar Endeksi," Central Bank Review, Research and Monetary Policy Department, Central Bank of the Republic of Turkey, vol. 15(3), pages 41-73.
    12. Bonciani, Dario & Ricci, Martino, 2020. "The international effects of global financial uncertainty shocks," Journal of International Money and Finance, Elsevier, vol. 109(C).
    13. Li, Xiao-Lin & Yan, Jing & Wei, Xiaohui, 2021. "Dynamic connectedness among monetary policy cycle, financial cycle and business cycle in China," Economic Analysis and Policy, Elsevier, vol. 69(C), pages 640-652.
    14. Schüler, Yves Stephan & Hiebert, Paul P. & Peltonen, Tuomas A., 2015. "Characterising the financial cycle: A multivariate and time-varying approach," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 112985, Verein für Socialpolitik / German Economic Association.
    15. Stijn Claessens & M Ayhan Kose, 2018. "Frontiers of macrofinancial linkages," BIS Papers, Bank for International Settlements, number 95.
    16. Antoine A. Djogbenou, 2020. "Comovements in the real activity of developed and emerging economies: A test of global versus specific international factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(3), pages 344-370, April.
    17. Strohsal, Till & Proaño Acosta, Christian & Wolters, Jürgen, 2015. "How do financial cycles interact? Evidence from the US and the UK," SFB 649 Discussion Papers 2015-024, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    18. Bjarni G. Einarsson & Kristófer Gunnlaugsson & Thorvardur Tjörvi Ólafsson & Thórarinn G. Pétursson, 2016. "The long history of financial boom-bust cycles in Iceland - Part II: Financial cycles," Economics wp72, Department of Economics, Central bank of Iceland.
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    20. Breitung, Jörg & Eickmeier, Sandra, 2015. "Analyzing business cycle asymmetries in a multi-level factor model," Economics Letters, Elsevier, vol. 127(C), pages 31-34.
    21. Schüler, Yves S. & Peltonen, Tuomas A. & Hiebert, Paul, 2017. "Coherent financial cycles for G-7 countries: Why extending credit can be an asset," ESRB Working Paper Series 43, European Systemic Risk Board.

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    More about this item

    Keywords

    factor models; canonical correlations; international business cycles; financial cycles; business cycle asymmetries;
    All these keywords.

    JEL classification:

    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis

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