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Estimating Output Gap, Core Inflation, and the NAIRU for Peru

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  • Rodríguez, Gabriel

    (Central Reserve Bank of Peru and Pontificia Universidad Católica del Perú)

Abstract

Following Doménech and Gómez (2006), and using quarterly Peruvian data for 1970:1-2007:4, I estimate a model that exploits the information contained in the inflation, unemployment and private investment rates in order to estimate non-observable variables as output gap, the NAIRU and the core inflation. The unknown parameters are esti- mated by maximun likelihood using a Kalman filter initialized with a partially difuse prior, and the unobserved components are estimated using a smoothing algorithm. The results suggest that only the infla- tion rate contains useful information in order to estimate the output gap. Estimates suggest poor performance for the unemployment and private investment rates. I explain this issue as related to the poor quality of the construction of these variables. In order to perform a sensitivity analysis, I estimate the output gap using other alternative methods. The correlations are very different and very far away from the estimates obtained in this paper. It is clear that estimates obtained from simple statistical filters give poor approximations.

Suggested Citation

  • Rodríguez, Gabriel, 2009. "Estimating Output Gap, Core Inflation, and the NAIRU for Peru," Working Papers 2009-011, Banco Central de Reserva del Perú.
  • Handle: RePEc:rbp:wpaper:2009-011
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    References listed on IDEAS

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    1. George W. Stadler, 1994. "Real Business Cycles," Journal of Economic Literature, American Economic Association, vol. 32(4), pages 1750-1783, December.
    2. Blanchard, Olivier Jean & Quah, Danny, 1989. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," American Economic Review, American Economic Association, vol. 79(4), pages 655-673, September.
    3. Kuttner, Kenneth N, 1994. "Estimating Potential Output as a Latent Variable," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 361-368, July.
    4. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    5. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    6. Robert J. Gordon, 1997. "The Time-Varying NAIRU and Its Implications for Economic Policy," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 11-32, Winter.
    7. Gerlach, Stefan & Smets, Frank, 1999. "Output gaps and monetary policy in the EMU area1," European Economic Review, Elsevier, vol. 43(4-6), pages 801-812, April.
    8. Apel, Mikael & Jansson, Per, 1999. "A theory-consistent system approach for estimating potential output and the NAIRU," Economics Letters, Elsevier, vol. 64(3), pages 271-275, September.
    9. Canova, Fabio, 1998. "Detrending and business cycle facts," Journal of Monetary Economics, Elsevier, vol. 41(3), pages 475-512, May.
    10. James H. Stock & Mark W. Watson, 2003. "Has the Business Cycle Changed and Why?," NBER Chapters, in: NBER Macroeconomics Annual 2002, Volume 17, pages 159-230, National Bureau of Economic Research, Inc.
    11. Hodrick, Robert J & Prescott, Edward C, 1997. "Postwar U.S. Business Cycles: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(1), pages 1-16, February.
    12. Camba-Mendez, Gonzalo & Rodriguez-Palenzuela, Diego, 2003. "Assessment criteria for output gap estimates," Economic Modelling, Elsevier, vol. 20(3), pages 529-562, May.
    13. Watson, Mark W., 1986. "Univariate detrending methods with stochastic trends," Journal of Monetary Economics, Elsevier, vol. 18(1), pages 49-75, July.
    14. Peter K. Clark, 1987. "The Cyclical Component of U. S. Economic Activity," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 797-814.
    15. Domenech, Rafael & Gomez, Victor, 2006. "Estimating Potential Output, Core Inflation, and the NAIRU as Latent Variables," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 354-365, July.
    16. Clark, Peter K., 1989. "Trend reversion in real output and unemployment," Journal of Econometrics, Elsevier, vol. 40(1), pages 15-32, January.
    17. Thomas Laubach, 2001. "Measuring The NAIRU: Evidence From Seven Economies," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 218-231, May.
    18. Andrew C. Harvey & Thomas M. Trimbur, 2003. "General Model-Based Filters for Extracting Cycles and Trends in Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 244-255, May.
    19. Silvia Fabiani & Ricardo Mestre, 2004. "A system approach for measuring the euro area NAIRU," Empirical Economics, Springer, vol. 29(2), pages 311-341, May.
    20. Arthur F. Burns & Wesley C. Mitchell, 1946. "Measuring Business Cycles," NBER Books, National Bureau of Economic Research, Inc, number burn46-1, September.
    21. Piet De Jong & Singfat Chu‐Chun‐Lin, 2003. "Smoothing With An Unknown Initial Condition," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 141-148, March.
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    Cited by:

    1. Alejandro Gaviria Jaramillo & Santiago Téllez Alzate, 2010. "Expectativas de inflación en Colombia," Vniversitas Económica 008299, Universidad Javeriana - Bogotá.

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    More about this item

    Keywords

    Potential Output; Core Inflation; NAIRU; Latent Variables; Investment;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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