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Macroeconomics and Volatility: Data, Models, and Estimation

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  • Jesús Fernández-Villaverde
  • Juan Rubio-Ramírez

Abstract

One basic feature of aggregate data is the presence of time-varying variance in real and nominal variables. Periods of high volatility are followed by periods of low volatility. For instance, the turbulent 1970s were followed by the much more tranquil times of the great moderation from 1984 to 2007. Modeling these movements in volatility is important to understand the source of aggregate fluctuations, the evolution of the economy, and for policy analysis. In this chapter, we first review the different mechanisms proposed in the literature to generate changes in volatility similar to the ones observed in the data. Second, we document the quantitative importance of time-varying volatility in aggregate time series. Third, we present a prototype business cycle model with time-varying volatility and explain how it can be computed and how it can be taken to the data using likelihood-based methods and non-linear filtering theory. Fourth, we present two "real life" applications. We conclude by summarizing what we know and what we do not know about volatility in macroeconomics and by pointing out some directions for future research.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 16618.

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Date of creation: Dec 2010
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Publication status: published as (2013) \Macroeconomics and Volatility: Data, Models, and Methods." Joint with Juan F. Rubio-Ramrez (Duke University). In Advances in Economics and Econo- metrics: Theory and Applications, Tenth World Congress of the Econometric So- ciety , Cambridge University Press.
Handle: RePEc:nbr:nberwo:16618

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  1. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, Elsevier, vol. 31(3), pages 307-327, April.
  2. Jes�s Fern�ndez-Villaverde & Juan F. Rubio-Ram�rez, 2007. "Estimating Macroeconomic Models: A Likelihood Approach," Review of Economic Studies, Oxford University Press, vol. 74(4), pages 1059-1087.
  3. Jesús Fernández-Villaverde & Pablo A. Guerrón-Quintana & Juan Rubio-Ramírez, 2010. "Reading the Recent Monetary History of the U.S., 1959-2007," NBER Working Papers 15929, National Bureau of Economic Research, Inc.
  4. Fernández-Villaverde, Jesús & Guerron-Quintana, Pablo A. & Rubio-Ramirez, Juan Francisco & Uribe, Martín, 2009. "Risk Matters: The Real Effects of Volatility Shocks," CEPR Discussion Papers 7264, C.E.P.R. Discussion Papers.
  5. Kevin B. Grier & Mark J. Perry, 2000. "The effects of real and nominal uncertainty on inflation and output growth: some garch-m evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 15(1), pages 45-58.
  6. Elder, John, 2004. "Another Perspective on the Effects of Inflation Uncertainty," Journal of Money, Credit and Banking, Blackwell Publishing, Blackwell Publishing, vol. 36(5), pages 911-28, October.
  7. Manuel S. Santos & Adrian Peralta-Alva, 2003. "Accuracy Of Simulations For Stochastic Dynamic Models," Economics Working Papers we034615, Universidad Carlos III, Departamento de Economía.
  8. Jesús Fernández-Villaverde & Pablo Guerrón-Quintana & Juan F. Rubio-Ramírez, 2010. "Fortune or Virtue: Time-Variant Volatilities Versus Parameter Drifting in U.S. Data," PIER Working Paper Archive 10-015, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  9. Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2004. "Estimating Dynamic Equilibrium Economies: Linear versus Nonlinear Likelihood," PIER Working Paper Archive 04-005, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  10. Alejandro Justiniano & Giorgio E. Primiceri, 2008. "The Time-Varying Volatility of Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 98(3), pages 604-41, June.
  11. Ruediger Bachmann & Steffen Elstner & Eric R. Sims, 2010. "Uncertainty and Economic Activity: Evidence from Business Survey Data," NBER Working Papers 16143, National Bureau of Economic Research, Inc.
  12. Bekaert, Geert & Hoerova, Marie & Lo Duca, Marco, 2013. "Risk, uncertainty and monetary policy," Journal of Monetary Economics, Elsevier, Elsevier, vol. 60(7), pages 771-788.
  13. Kiseok Lee & Shawn Ni & Ronald A. Ratti, 1995. "Oil Shocks and the Macroeconomy: The Role of Price Variability," The Energy Journal, International Association for Energy Economics, International Association for Energy Economics, vol. 0(Number 4), pages 39-56.
  14. Jesus Fernández-Villaverde & Pablo Guerrón-Quintana & Juan F. Rubio-Ramírez, 2010. "Fortune or virtue: time-variant volatilities versus parameter drifting," Working Papers 10-14, Federal Reserve Bank of Philadelphia.
  15. Fernandez-Villaverde, Jesus & Francisco Rubio-Ramirez, Juan, 2004. "Comparing dynamic equilibrium models to data: a Bayesian approach," Journal of Econometrics, Elsevier, Elsevier, vol. 123(1), pages 153-187, November.
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Cited by:
  1. Steffen Henzel & Elisabeth Wieland, 2013. "Synchronization and Changes in International Inflation Uncertainty," CESifo Working Paper Series 4194, CESifo Group Munich.
  2. Fabrice Collard & Sujoy Mukerji & Kevin Sheppard & Jean-Marc Tallon, 2011. "Ambiguity and the historical equity premium," Documents de travail du Centre d'Economie de la Sorbonne, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne 11032, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  3. Gonzalez-Astudillo, Manuel, 2011. "Policy Rule Coefficients Driven by Latent Factors: Monetary and Fiscal Policy Interactions in an Endowment Economy," MPRA Paper 29976, University Library of Munich, Germany.
  4. Martín Uribe, 2011. "Comment on "Risk, Monetary Policy and the Exchange Rate"," NBER Chapters, in: NBER Macroeconomics Annual 2011, Volume 26, pages 315-324 National Bureau of Economic Research, Inc.
  5. Steffen Henzel & Malte Rengel, 2013. "Dimensions of macroeconomic uncertainty: A common factor analysis," Ifo Working Paper Series Ifo Working Paper No. 167, Ifo Institute for Economic Research at the University of Munich.
  6. Mumtaz, Haroon & Theodoridis, Konstantinos, 2012. "The international transmission of volatility shocks: an empirical analysis," Bank of England working papers 463, Bank of England.
  7. Dario Caldara & Jesus Fernandez-Villaverde & Juan Rubio-Ramirez & Wen Yao, 2012. "Computing DSGE Models with Recursive Preferences and Stochastic Volatility," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 188-206, April.
  8. Philippe Mueller & Andrea Vedolin & Hao Zhou, 2011. "Short Run Bond Risk Premia," FMG Discussion Papers, Financial Markets Group dp686, Financial Markets Group.
  9. Marina Azzimonti, 2013. "Polarized business cycles," Working Papers 13-44, Federal Reserve Bank of Philadelphia.
  10. Marina Azzimonti, 2013. "The political polarization index," Working Papers 13-41, Federal Reserve Bank of Philadelphia.
  11. Dennis, Wesselbaum, 2012. "Stochastic Volatility in the U.S. Labor Market," MPRA Paper 43054, University Library of Munich, Germany.

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