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Co-movement of Cyclical Components Approach to Construct a Coincident Index of Business Cycles

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Abstract

The accurate assessment of business conditions is a long-standing problem in macroeconomics. To construct a coincident index of growth cycles from a given set of indicators, we propose a new approach: the co-movement of cyclical components (triple-C) approach. For realizing the triple-C approach, we introduce a multi-objective optimization algorithm. We refer to the coincident index of growth cycles as the index of business cycles (IBC) of coincident economic indicators. The IBC based on the triple-C approach has the following properties: (1) its mean is globally stationary; (2) it is constructed as a common factor in the stationary parts of the selected economic indicators; and (3) its variations are as large as possible so that it contains a relatively large amount of information for business cycle analysis. We examine the performance of the constructed IBC by comparing it with a composite index based on data for coincident indicators in Japan.

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References

  • Baxter, M., & King, R. (1999). Measuring business cycles: Approximate band-pass filter for economic time series. The Review of Economics and Statistics, 81, 575–593.

    Article  Google Scholar 

  • Burns, A. F., & Mitchell, W. C. (1946). Measuring business cycles (Vol. 2). New York: National Bureau of Economic Research.

    Google Scholar 

  • Fukuda, K. (1994). On measuring business conditions. JCER Economic Journal, 27, 17–38. (in Japanese).

    Google Scholar 

  • Fukuda, S., & Onodera, T. (2001). A new composite index of coincident economic indicators in Japan. International Journal of Forecasting, 17, 483–498.

    Article  Google Scholar 

  • Friesz, T. L. (1992). Hierarchical optimization: An introduction. Annals of Optimization Research, 34, 1–11.

    Google Scholar 

  • Girardin, E. (2004). Regime-dependent synchronization of growth cycles between Japan and East Asia. Asian Economic Papers, 3, 147–176.

    Article  Google Scholar 

  • Girardin, E. (2005). Growth-cycle features of East Asian countries: Are they similar? International Journal of Finance and Economics, 10, 143–156.

    Article  Google Scholar 

  • Hamilton, J. (1989). A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica, 57, 357–384.

    Article  Google Scholar 

  • Han, Y., Liu, Z., & Ma, J. (2020). Growth cycles and business cycles of the Chinese economy through the lens of the unobserved components model. China Economic Review, 63, 101317.

    Article  Google Scholar 

  • Harding, D., & Pagan, A. (2005). A suggested framework for classifying the modes of cycle research. Journal of Applied Econometrics, 20, 151–159.

    Article  Google Scholar 

  • Hodrick, R. J., & Prescott, E. C. (1997). Postwar US business cycles: An empirical investigation. Journal of Money, Credit and Banking, 29, 1–16.

    Article  Google Scholar 

  • Kaihatsu, S., Koga, M., Sakata, T., & Hara, N. (2019). Interaction between business cycles and economic growth. Monetary and Economic Studies, 37, 99–126.

    Google Scholar 

  • Kanoh, K., & Saito, S. (1994). Extracting actuality from judgement: A new index for the business cycle. Monetary and Economic Studies, 12, 77–97.

    Google Scholar 

  • Kariya, T. (1988). MTV model and its application to the prediction of stock prices. In T. Pullila & S. Puntanen (Eds.), Proceedings of the second international Tampere conference in statistics (pp. 161–176). University of Tampere.

    Google Scholar 

  • Kariya, T. (1993). Theory and practice of econometric analysis. Toyo Keizai. in Japanese.

    Google Scholar 

  • Kim, C. J., & Nelson, C. R. (1998). Business cycle turning points, a new coincident index, and tests of duration dependence based on a dynamic factor model with regime-switching. The Review of Economics and Statistics, 80, 188–201.

    Article  Google Scholar 

  • Kitagawa, G. (1981). A non-stationary time series model and its fitting by a recursive filter. Journal of Time Series Analysis, 2, 103–116.

    Article  Google Scholar 

  • Kitagawa, G. (2020). Introduction to time series modeling with application in R (2nd ed.). Chapman and Hall.

    Book  Google Scholar 

  • Kitagawa, G., & Gersch, W. (1984). A smoothness priors state space modeling of time series with trend and seasonality. Journal of the American Statistical Association, 79, 378–389.

    Google Scholar 

  • Komaki, Y. (2001). The prediction of cyclical turning points: In applying the turning-point prediction models to the Japanese economy. Financial Review, 57, 42–69. (in Japanese).

    Google Scholar 

  • Kyo, K., & Noda, H. (2011). A new algorithm for estimating the parameters in seasonal adjustment models with a cyclical component. ICIC Express Letters, 5, 1731–1737.

    Google Scholar 

  • Ma, J., & Wohar, M. E. (2013). An unobserved components model that yields business and medium-run cycles. Journal of Money, Credit and Banking, 45, 1351–1373.

    Article  Google Scholar 

  • Mariano, R., & Murasawa, Y. (2003). A new coincident index of business cycles based on monthly and quarterly series. Journal of Applied Econometrics, 18, 427–443.

    Article  Google Scholar 

  • Mariano, R., & Murasawa, Y. (2010). A coincident index, common factors, and monthly real GDP. Oxford Bulletin of Economics and Statistics, 72, 27–46.

    Article  Google Scholar 

  • Morley, J. C., Nelson, C. R., & Zivot, E. (2003). Why are the Beveridge–Nelson and unobserved-components decompositions of GDP so different? The Review of Economics and Statistics, 85, 235–243.

    Article  Google Scholar 

  • Ohkusa, Y. (1992). Constructing a stochastic business index in Japan. Doshisha University Keizaigaku Ronso, 44, 25–60. (in Japanese).

    Google Scholar 

  • Stock, J. H., & Watson, M. W. (1989). New indexes of coincident and leading macroeconomic indicators. In O. Blanchard & S. Fischer (Eds.), NBER macroeconomics annual (pp. 351–394). MIT Press.

    Google Scholar 

  • Stock, J. H., & Watson, M. W. (1991). A probability model of the coincident economic indicators. In K. Lahiri & G. Moore (Eds.), Leading economic indicators: New approaches and forecasting records (pp. 63–89). Cambridge University Press.

    Chapter  Google Scholar 

  • Urasawa, S. (2014). Real-time GDP forecasting for Japan: A dynamic factor model approach. Journal of the Japanese and International Economies, 34, 116–134.

    Article  Google Scholar 

  • Watanabe, T. (2003). Measuring business cycle turning points in Japan with a dynamic Markov switching factor model. Monetary and Economic Studies, 21, 35–68.

    Google Scholar 

  • Zarnowitz, V. (1991). What is a business cycle? NBER Working Paper 3863.

  • Zarnowitz, V., & Ozyildirim, A. (2006). Time series decomposition and measurement of business cycles, trends and growth cycles. Journal of Monetary Economics, 53, 1717–1739.

    Article  Google Scholar 

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Acknowledgements

The authors gratefully acknowledge the anonymous reviewers for their constructive comments and suggestions, which have made this article more valuable and readable. This work was supported in part by a Grant-in-Aid for Scientific Research (B) (18H03210) and a Grant-in-Aid for Scientific Research (C) (19K01583) from the Japan Society for the Promotion of Science. We thank Maxine Garcia, PhD, from Edanz (https://jp.edanz.com/ac) for editing a draft of this manuscript. We would like to thank also the anonymous reviewers for their constructive comments and advice.

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Correspondence to Hideo Noda.

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Kyo, K., Noda, H. & Kitagawa, G. Co-movement of Cyclical Components Approach to Construct a Coincident Index of Business Cycles. J Bus Cycle Res 18, 101–127 (2022). https://doi.org/10.1007/s41549-022-00067-9

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  • DOI: https://doi.org/10.1007/s41549-022-00067-9

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