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Estimating Dynamic Equilibrium Models with Stochastic Volatility

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  • Jesús Fernández-Villaverde
  • Pablo Guerrón-Quintana
  • Juan Rubio-Ramirez

Abstract

We propose a novel method to estimate dynamic equilibrium models with stochastic volatility. First, we characterize the properties of the solution to this class of models. Second, we take advantage of the results about the structure of the solution to build a sequential Monte Carlo algorithm to evaluate the likelihood function of the model. The approach, which exploits the profusion of shocks in stochastic volatility models, is versatile and computationally tractable even in large-scale models, such as those often employed by policy-making institutions. As an application, we use our algorithm and Bayesian methods to estimate a business cycle model of the U.S. economy with both stochastic volatility and parameter drifting in monetary policy. Our application shows the importance of stochastic volatility in accounting for the dynamics of the data.

Suggested Citation

  • Jesús Fernández-Villaverde & Pablo Guerrón-Quintana & Juan Rubio-Ramirez, 2013. "Estimating Dynamic Equilibrium Models with Stochastic Volatility," Working Papers 2013-23, FEDEA.
  • Handle: RePEc:fda:fdaddt:2013-23
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    Cited by:

    1. Pablo A. Guerron-Quintana & Tomohiro Hirano & Ryo Jinnai, 2019. "Recurrent Bubbles and Economic Growth," CARF F-Series CARF-F-457, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    2. Tao Zha & Juan F. Rubio-Ramirez & Daniel F. Waggoner & Andrew T. Foerster, 2010. "Perturbation Methods for Markov-Switching Models," 2010 Meeting Papers 239, Society for Economic Dynamics.
    3. Andrew Foerster & Juan F. Rubio‐Ramírez & Daniel F. Waggoner & Tao Zha, 2016. "Perturbation methods for Markov‐switching dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 7(2), pages 637-669, July.
    4. Christopher Otrok & Andrew Foerster & Alessandro Rebucci & Gianluca Benigno, 2017. "Estimating Macroeconomic Models of Financial Crises: An Endogenous Regime Switching Approach," 2017 Meeting Papers 572, Society for Economic Dynamics.
    5. repec:bny:wpaper:0032 is not listed on IDEAS
    6. Kristoffer P. Nimark, 2014. "Man-Bites-Dog Business Cycles," American Economic Review, American Economic Association, vol. 104(8), pages 2320-2367, August.
    7. Jump, Robert Calvert & Levine, Paul, 2019. "Behavioural New Keynesian models," Journal of Macroeconomics, Elsevier, vol. 59(C), pages 59-77.
    8. Ciccarone, Giuseppe & Giuli, Francesco & Marchetti, Enrico & Tancioni, Massimiliano, 2020. "Leaning against the bubble. Can theoretical models match the empirical evidence?," MPRA Paper 105004, University Library of Munich, Germany.
    9. Pablo Cuba‐Borda & Luca Guerrieri & Matteo Iacoviello & Molin Zhong, 2019. "Likelihood evaluation of models with occasionally binding constraints," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 34(7), pages 1073-1085, November.
    10. Pablo A. Guerron-Quintana & Tomohiro Hirano & Ryo Jinnai, 2021. "Bubbles, Crashes, Ups and Downs in Economic Growth Theory and Evidence," CIGS Working Paper Series 21-006E, The Canon Institute for Global Studies.
    11. Nigar Hashimzade & Oleg Kirsanov & Tatiana Kirsanova & Junior Maih, 2024. "On Bayesian Filtering for Markov Regime Switching Models," CESifo Working Paper Series 10941, CESifo.
    12. Dietrich, Alexander M., 2023. "Consumption categories, household attention, and inflation expectations: Implications for optimal monetary policy," University of Tübingen Working Papers in Business and Economics 157, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    13. Giraitis, Liudas & Kapetanios, George & Theodoridis, Konstantinos & Yates, Tony, 2014. "Estimating time-varying DSGE models using minimum distance methods," Bank of England working papers 507, Bank of England.
    14. Patella, Valeria & Tancioni, Massimiliano, 2021. "Confidence Swings and Sovereign Risk Dynamics," Structural Change and Economic Dynamics, Elsevier, vol. 56(C), pages 195-206.
    15. Le Thanh Ha & To Trung Thanh & Doan Ngoc Thang, 2021. "Welfare costs of monetary policy uncertainty in the economy with shifting trend inflation," Scottish Journal of Political Economy, Scottish Economic Society, vol. 68(1), pages 126-154, February.
    16. Giraitis, Liudas & Kapetanios, George & Theodoridis, Konstantinos & Yates, Tony, 2014. "Estimating time-varying DSGE models using minimum distance methods," Bank of England working papers 507, Bank of England.

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    More about this item

    JEL classification:

    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General

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