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Parameter bias in an estimated DSGE model: does nonlinearity matter?

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  • Yasuo Hirose
  • Takeki Sunakawa

Abstract

How can parameter estimates be biased in a dynamic stochastic general equilibrium model that omits nonlinearity in the economy? To answer this question, we simulate data from a fully nonlinear New Keynesian model with the zero lower bound constraint and estimate a linearized version of the model. Monte Carlo experiments show that significant biases are detected in the estimates of monetary policy parameters and the steady-state inflation and real interest rates. These biases arise mainly from neglecting the zero lower bound constraint rather than linearizing equilibrium conditions. With fixed parameters, the variance-covariance matrix and impulse response functions of observed variables implied by the linearized model substantially differ from those implied by its nonlinear counterpart. However, we find that the biased estimates of parameters in the estimated linear model can make most of the differences small.

Suggested Citation

  • Yasuo Hirose & Takeki Sunakawa, 2015. "Parameter bias in an estimated DSGE model: does nonlinearity matter?," CAMA Working Papers 2015-46, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
  • Handle: RePEc:een:camaaa:2015-46
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    6. Taisuke Nakata, 2017. "Uncertainty at the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(3), pages 186-221, July.
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    10. Yasuo Hirose & Atsushi Inoue, 2016. "The Zero Lower Bound and Parameter Bias in an Estimated DSGE Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(4), pages 630-651, June.
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    Citations

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    Cited by:

    1. Paccagnini, Alessia, 2017. "Dealing with Misspecification in DSGE Models: A Survey," MPRA Paper 82914, University Library of Munich, Germany.
    2. Hills, Timothy S. & Nakata, Taisuke & Schmidt, Sebastian, 2019. "Effective lower bound risk," European Economic Review, Elsevier, vol. 120(C).
    3. Hirokuni Iiboshi & Mototsugu Shintani & Kozo Ueda, 2018. "Estimating a nonlinear new Keynesian model with the zero lower bound for Japan," CAMA Working Papers 2018-37, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    4. Yasuo Hirose & Takeki Sunakawa, 2019. "Review of Solution and Estimation Methods for Nonlinear Dynamic Stochastic General Equilibrium Models with the Zero Lower Bound," The Japanese Economic Review, Springer, vol. 70(1), pages 51-104, March.
    5. Mitsuru Katagiri, 2016. "Forward Guidance as a Monetary Policy Rule," Bank of Japan Working Paper Series 16-E-6, Bank of Japan.
    6. Iwasaki, Yuto & Muto, Ichiro & Shintani, Mototsugu, 2021. "Missing wage inflation? Estimating the natural rate of unemployment in a nonlinear DSGE model," European Economic Review, Elsevier, vol. 132(C).
    7. Yasuo Hirose & Takeki Sunakawa, 2017. "The natural rate of interest in a nonlinear DSGE model," CAMA Working Papers 2017-38, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    8. Atkinson, Tyler & Richter, Alexander W. & Throckmorton, Nathaniel A., 2020. "The zero lower bound and estimation accuracy," Journal of Monetary Economics, Elsevier, vol. 115(C), pages 249-264.

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    More about this item

    Keywords

    Nonlinearity; Zero lower bound; DSGE model; Parameter bias; Bayesian estimation;
    All these keywords.

    JEL classification:

    • 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
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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