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Computing the risky steady state of DSGE models

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  • de Groot, Oliver

Abstract

This note describes a simple procedure for solving the risky steady state in medium-scale macroeconomic models. This is the “point where agents choose to stay at a given date if they expect future risk and if the realization of shocks is 0 at this date” [Coeurdacier, N., Rey, H., Winant, P., 2011. The risky steady state. The American Economic Review 101 (3), 398–401]. This new procedure is a direct method which makes use of a second-order approximation of the macroeconomic model around its deterministic steady state, thus avoiding the need to employ an iterative algorithm to solve a fixed-point problem.

Suggested Citation

  • de Groot, Oliver, 2013. "Computing the risky steady state of DSGE models," Economics Letters, Elsevier, vol. 120(3), pages 566-569.
    • Handle: RePEc:eee:ecolet:v:120:y:2013:i:3:p:566-569
    DOI: 10.1016/j.econlet.2013.06.025
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    1. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    2. Juillard Michel, 2011. "Local approximation of DSGE models around the risky steady state," wp.comunite 0087, Department of Communication, University of Teramo.
    3. Burnside, Craig, 1998. "Solving asset pricing models with Gaussian shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 329-340, March.
    4. repec:hal:wpspec:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    5. Nicolas Coeurdacier & Helene Rey & Pablo Winant, 2011. "The Risky Steady State," American Economic Review, American Economic Association, vol. 101(3), pages 398-401, May.
    6. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g704ld0h3 is not listed on IDEAS
    7. Collard, Fabrice & Juillard, Michel, 2001. "Accuracy of stochastic perturbation methods: The case of asset pricing models," Journal of Economic Dynamics and Control, Elsevier, vol. 25(6-7), pages 979-999, June.
    8. Gertler, Mark & Kiyotaki, Nobuhiro & Queralto, Albert, 2012. "Financial crises, bank risk exposure and government financial policy," Journal of Monetary Economics, Elsevier, vol. 59(S), pages 17-34.
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    Citations

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    Cited by:

    1. Dongya Koh & Raül Santaeulàlia-Llopis, 2017. "Countercyclical Elasticity of Substitution," Working Papers 946, Barcelona School of Economics.
    2. Parra-Alvarez, Juan Carlos & Polattimur, Hamza & Posch, Olaf, 2021. "Risk matters: Breaking certainty equivalence in linear approximations," Journal of Economic Dynamics and Control, Elsevier, vol. 133(C).
    3. Meyer-Gohde, Alexander, 2014. "Risky linear approximations," SFB 649 Discussion Papers 2014-034, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    4. Oliver de Groot, 2014. "The Risk Channel of Monetary Policy," International Journal of Central Banking, International Journal of Central Banking, vol. 10(2), pages 115-160, June.
    5. Hoffmann, Mathias & Krause, Michael & Tillmann, Peter, 2019. "International capital flows, external assets and output volatility," Journal of International Economics, Elsevier, vol. 117(C), pages 242-255.
    6. Schmidt, Sebastian & Nakata, Taisuke & Hills, Timothy, 2016. "The risky steady state and the interest rate lower bound," Working Paper Series 1913, European Central Bank.
    7. Juan Carlos Parra-Alvarez & Hamza Polattimur & Olaf Posch, 2020. "Risk Matters: Breaking Certainty Equivalence," CREATES Research Papers 2020-02, Department of Economics and Business Economics, Aarhus University.
    8. Andreasen, Martin M. & Caggiano, Giovanni & Castelnuovo, Efrem & Pellegrino, Giovanni, 2024. "Does risk matter more in recessions than in expansions? Implications for monetary policy," Journal of Monetary Economics, Elsevier, vol. 143(C).
    9. Pozo, Jorge, 2019. "Capital Flows and Bank Risk-Taking," Working Papers 2019-017, Banco Central de Reserva del Perú.
    10. Oliver de Groot & Ceyhun Bora Durdu & Enrique G. Mendoza, 2019. "Approximately Right?: Global v. Local Methods for Open-Economy Models with Incomplete Markets," NBER Working Papers 26426, National Bureau of Economic Research, Inc.
    11. Rabitsch, Katrin & Stepanchuk, Serhiy & Tsyrennikov, Viktor, 2015. "International portfolios: A comparison of solution methods," Journal of International Economics, Elsevier, vol. 97(2), pages 404-422.
    12. Solórzano Andrade, Gustavo & Parra-Alvarez, Juan Carlos, 2024. "Risk sensitive linear approximations," Economics Letters, Elsevier, vol. 238(C).
    13. repec:hum:wpaper:sfb649dp2014-034 is not listed on IDEAS
    14. Dario Bonciani & David Gauthier & Derrick Kanngiesser, 2023. "Slow Recoveries, Endogenous Growth and Macro-prudential Policy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 698-715, December.
    15. Liu, Keqing, 2016. "Bank equity and macroprudential policy," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 1-17.
    16. Pierlauro Lopez & J. David López-Salido & Francisco Vazquez-Grande, 2022. "Accounting for Risk in a Linearized Solution: How to Approximate the Risky Steady State and Around It," Working Papers 22-14, Federal Reserve Bank of Cleveland.
    17. Yu, Changhua, 2015. "Evaluating international financial integration in a center-periphery economy," Journal of International Economics, Elsevier, vol. 95(1), pages 129-144.
    18. Pozo, Jorge, 2024. "Excessive bank risk-taking in an infinite horizon economy," Journal of Financial Stability, Elsevier, vol. 73(C).
    19. Meyer-Gohde, Alexander, 2015. "Risk-Sensitive Linear Approximations," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113057, Verein für Socialpolitik / German Economic Association.
    20. Walter Pohl & Karl Schmedders & Ole Wilms, 2018. "Higher Order Effects in Asset Pricing Models with Long‐Run Risks," Journal of Finance, American Finance Association, vol. 73(3), pages 1061-1111, June.
    21. Ingrid Groessl & Artur Tarassow, 2015. "A Microfounded Model of Money Demand Under Uncertainty, and some Empirical Evidence," Macroeconomics and Finance Series 201504, University of Hamburg, Department of Socioeconomics, revised Jan 2018.
    22. Oliver de Groot & C. Bora Durdu & Enrique G. Mendoza, 2019. "Global v. Local Methods in the Analysis of Open-Economy Models with Incomplete Markets," Working Papers 201916, University of Liverpool, Department of Economics.

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    More about this item

    Keywords

    Risky steady state; DSGE models; Computation;
    All these keywords.

    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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