Spectral Estimation of the Business Cycle Component if the Russian GDP under High Dependence on the Terms of Trade
Abstract
The article proposes a new approach for decomposition of the real GDP of the Russian economy into trend and business cycle components based on the cointegrating regression model. The novelty of the approach is that when building the components of the long-term trend, firstly, we take into account the long-run dependence of the Russian real GDP on oil prices. Under this assumption the fall of oil prices leads to a decline in the permanent level of the real GDP. Secondly, we allow the presence of breaks in the longrun trend of non-oil component of the output. This allows us to take into account the changes in the long-term phases of Russia's economic development and distinguish periods of transformational decline and recovery growth. The business cycle component is estimated in two steps. At the first step, the non-stationary component consisting of a deterministic trend with structural breaks, and components characterizing the long-run impact of oil prices on the Russian economy are eliminated from the series of GDP (in logs). At the second step, the component of the business cycle with a periodicity of fluctuations from 6 to 32 quarters is extracted from the stationary residuals using spectral analysis methods. We find that the business cycle component for the period from 2014 to 2016 was zero while other methods give negative estimates. The new monetary policy regime of the floating exchange rate allowed the Russian real GDP to be adjusted quickly to its new lower potential level because of a drop in oil prices, while cyclical fluctuations were rather moderate.
About the Authors
Andrey V. PolbinRussian Federation
Anton A. Skrobotov
Russian Federation
References
1. Alquist R., Kilian L., Vigfusson R.J. (2013). Forecasting the price of oil. Handbook of Economic Forecasting, vol. 2, pp. 427–507.
2. Andrews D.W.K. (1991). Heteroskedasticity and autocorrelation consistent covariance matrix estimation. Econometrica, vol. 59, pp. 817–858.
3. Apokin A., Belousov D., Goloshchapova I. Ipatova I. Solntsev O. (2014). On the fundamental deficiencies of current monetary policy. Voprosy Economiki, no. 12, pp. 80–100 (in Russian)
4. Bank of Russia. (2015). Report on monetary policy, no. 1, September 2015. Moscow, The Central Bank of the Russian Federation (in Russian).
5. Baxter M., King R.G. (1999). Measuring business cycles: approximate band-pass filters for economic time series. Review of Economics and Statistics, vol. 81, no. 4, pp. 575–593.
6. Beveridge S., Nelson C. (1981). A new approach to decomposition of economic time series into permanent and transitory components with particular attention to the measurement of the business cycle. Journal of Monetary Economics, vol. 7, pp. 151–174.
7. Blanchard O., Quah D. (1989). The dynamic effect of aggregate demand and supply disturbances. American Economic Review, vol. 79, pp. 655–673.
8. Burns A.M., Mitchell W.C. (1946). Measuring business cycles. New York, NBER.
9. Canova F. (2007). Methods for applied macroeconomic research. Princeton University Press.
10. Chari V.V., Kehoe P.J., McGrattan E.R. (2009). New Keynesian models: Not yet useful for policy analysis. American Economic Journal: Macroeconomics, vol. 1, no. 1, pp. 242–266.
11. Christiano L.J., Fitzgerald T.J. (2003). The band pass filter. International Economic Review, vol. 44, no. 2, pp. 435–465.
12. Clark P.K. (1987). The cyclical component of US economic activity. The Quarterly Journal of Economics, vol. 102, no. 4, pp. 797–814.
13. Cramér H., Leadbetter M.R. (1967). Stationary and related stochastic processes: Sample function properties and their applications. New York, Wiley.
14. Drobyshevskij S., Polbin A. (2016). On the role of the floating exchange rate of the ruble in stabilizing business activity under foreign trade shocks. Theoretical and Practical Aspects of Management, no. 6, pp. 66–71 (in Russian).
15. Dubovskij D.L., Kofanov D.A., Sosunov K.A. (2015). Dating of the Russian business cycle. HSE Economic Journal, vol. 19, no. 4, pp. 554–575 (in Russian).
16. Esfahani H.S., Mohaddes K., Pesaran M.H. (2014). An empirical growth model for major oil exporters. Journal of Applied Econometrics, vol. 29, pp. 1–21.
17. Evans G., Reichlin L. (1994). Information, forecasts, and measurement of the business cycle. Journal of Monetary Economics, vol. 33, no. 2, pp. 233–254.
18. Guay A., St.-Amant P. (2005). Do the Hodrick-Prescott and Baxter-King filters provide a good approximation of business cycles? Annales d'Economie et de Statistique, no. 77, pp. 133–155.
19. Harvey A.C. (1985). Trends and cycles in macroeconomic time series. Journal of Business & Economic Statistics, vol. 3, no. 3, pp. 216–227.
20. Harvey A.C., Jaeger A. (1993). Detrending, stylized facts and the business cycle. Journal of Applied Econometrics, vol. 8, no. 3, pp. 231–247.
21. Hodrick R., Prescott E. (1997). Post-War US business cycles: An empirical investigation. Journal of Money Banking and Credit, vol. 29, pp. 1–16.
22. Idrisov G., Kazakova M., Polbin A. (2015). A theoretical interpretation of the oil prices impact on economic growth in contemporary Russia. Russian Journal of Economics, vol. 1, no. 3, pp. 257–272.
23. Idrisov G., Sinelnikov-Murylev S. (2014). Forming sources of long-run growth: How to understand them? Voprosy Economiki, no. 3, pp. 4–20 (in Russian).
24. King R., Plosser C., Stock J., Watson M. (1991). Stochastic trends and economic fluctuations. American Economic Review, vol. 81, pp. 819–840.
25. Klepach A., Kuranov G. (2013). Cyclical waves in the economic development of the U.S. and Russia. Voprosy Economiki, no. 11, pp. 4–33 (in Russian).
26. Kuboniwa M. (2014). A comparative analysis of the impact of oil prices on oil-rich emerging economies in the Pacific Rim. Journal of Comparative Economics, vol. 42, pp. 328–339.
27. Kudrin A., Gurvich E. (2014). A new growth model for the Russian economy. Voprosy Economiki, no. 12, pp. 4–36 (in Russian)
28. Kydland F., Prescott E.C. (1982). Time to build and aggregate fluctuations. Econometrica, vol. 50, no. 6, pp. 1345–1370.
29. Lucas R.E. (1973). Some international evidence on output-inflation tradeoffs. The American Economic Review, vol. 63, no. 3, pp. 326–334.
30. Lukova L., Bukina I. (2016). The formation of Russian fiscal policy in the conditions of external shocks. The Bulletin of the Institute of Economics of the Russian Academy of Sciences, no. 6, pp. 52–65 (in Russian).
31. Morley J.C. (2002). A state-space approach to calculating the Beveridge–Nelson decomposition. Economics Letters, vol. 75, no. 1, pp. 123–127.
32. Morley J.C., Nelson C.R., Zivot E. (2003). Why are the Beveridge–Nelson and unobserved-components decompositions of GDP so different? Review of Economics and Statistics, vol. 85, no. 2, pp. 235–243.
33. Oomes N., Dynnikova O. (2006). The utilization-adjusted output gap: Is the Russian economy overheating? IMF Working Papers WP/06/68.
34. Orlova N., Egiev S. (2015). Structural factors of Russian economic slowdown. Voprosy Economiki, no. 12, pp. 69–84 (in Russian).
35. Perron P. (1989). The great crash, the oil price shock, and the unit root hypothesis. Econometrica, vol. 57, pp. 1361–1401.
36. Perron P., Wada T. (2009). Let's take a break: Trends and cycles in U.S. real GDP. Journal of Monetary Economics, vol. 56, pp. 749–765.
37. Polbin A., Skrobotov A. (2016). Testing for structural breaks in the long-run growth rate of the Russian economy. HSE Economic Journal, vol. 20, no. 4, pp. 588–623 (in Russian).
38. Sargent T.J. (1978). Estimation of dynamic labor demand schedules under rational expectations. Journal of Political Economy, vol. 86, no. 6, pp. 1009–1044.
39. Shulgin A. (2014). How much monetary policy rules do we need to estimate DSGE model for Russia? Applied Econometrics, no. 36 (4), pp. 3–31 (in Russian).
40. Sinelnikov-Murylev S., Drobyshevskij S., Kazakova M. (2014). Decomposition of Russian GDP growth rates in 1999–2014. Economic Policy, no. 5, pp. 7–37 (in Russian).
41. Stock J.H., Watson M.W. (1993). A simple estimator of cointegrating vectors in higher order integrated systems. Econometrica, vol. 61, pp. 783–820.
42. Sul D., Phillips P.C.B., Choi C.Y. (2005). Prewhitening bias in HAC estimation. Oxford Bulletin of Economics and Statistics, vol. 67, pp. 517–546.
43. Vetlov I., Hlédik T., Jonsson M., Kucsera H., Pisani M. (2011). Potential output in DSGE models. European Central Bank working paper series No.1351.
44. Zamulin O. (2016). Russia in 2015: A supply-side recession. Journal of the New Economic Association, vol. 29, no. 1, pp. 181–185 (in Russian).
45. Zubarev A.V., Trunin P.V. (2017). The analysis of the dynamics of the Russian economy using the output gap indicator. Studies on Russian Economic Development, vol. 28, no. 2, pp. 126–132.
Review
For citations:
Polbin A.V., Skrobotov A.A. Spectral Estimation of the Business Cycle Component if the Russian GDP under High Dependence on the Terms of Trade. Economics of Contemporary Russia. 2018;(1):69-84. (In Russ.)