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Functional Approximation of Impulse Responses

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  • Barnichon, Regis
  • Matthes, Christian

Abstract

A method to estimate the dynamic effects of structural shocks is proposed: “Functional Approximation of Impulse Responses” (FAIR) consists in directly estimating the moving average representation of the data by approximating impulse responses with a set of basis functions. FAIR can offer a number of benefits over alternative impulse response estimators, including VARs and Local Projections: (i) parsimony and efficiency, (ii) ability to summarize the dynamic effects of shocks with a few moments, (iii) ease of prior elicitation and structural identification, and (iv) flexibility in allowing for non-linearities. As an illustration, we study the dynamic effects of monetary shocks, notably their asymmetric effects.

Suggested Citation

  • Barnichon, Regis & Matthes, Christian, 2018. "Functional Approximation of Impulse Responses," Journal of Monetary Economics, Elsevier, vol. 99(C), pages 41-55.
    • Handle: RePEc:eee:moneco:v:99:y:2018:i:c:p:41-55
    DOI: 10.1016/j.jmoneco.2018.04.013
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    Cited by:

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    3. Rothfelder, Mario & Boldea, Otilia, 2016. "Testing for a Threshold in Models with Endogenous Regressors," Discussion Paper 2016-029, Tilburg University, Center for Economic Research.
    4. Luca Metelli & Filippo Natoli & Luca Rossi, 2020. "Monetary policy gradualism and the nonlinear effects of monetary shocks," Temi di discussione (Economic working papers) 1275, Bank of Italy, Economic Research and International Relations Area.
    5. Anthony M. Diercks & Alex Hsu & Andrea Tamoni, 2020. "When it Rains it Pours: Cascading Uncertainty Shocks," Finance and Economics Discussion Series 2020-064, Board of Governors of the Federal Reserve System (U.S.).
    6. Gonçalves, Sílvia & Herrera, Ana María & Kilian, Lutz & Pesavento, Elena, 2021. "Impulse response analysis for structural dynamic models with nonlinear regressors," Journal of Econometrics, Elsevier, vol. 225(1), pages 107-130.
    7. Òscar Jordà & Moritz Schularick & Alan M. Taylor, 2020. "Disasters Everywhere: The Costs of Business Cycles Reconsidered," Staff Reports 925, Federal Reserve Bank of New York.
    8. Oscar Jorda & Alan Taylor & Sanjay Singh, 2019. "The Long-Run Effects of Monetary Policy," 2019 Meeting Papers 1307, Society for Economic Dynamics.
    9. Òscar Jordà, 2023. "Local Projections for Applied Economics," Working Paper Series 2023-16, Federal Reserve Bank of San Francisco.
    10. van den End, Jan Willem & Konietschke, Paul & Samarina, Anna & Stanga, Irina M., 2021. "Macroeconomic reversal rate in a low interest rate environment," Working Paper Series 2620, European Central Bank.
    11. Gasteiger, Emanuel & Grimaud, Alex, 2023. "Price setting frequency and the Phillips curve," European Economic Review, Elsevier, vol. 158(C).
    12. Frederic Boissay & Fabrice Collard & Cristina Manea & Adam Shapiro, 2023. "Monetary tightening, inflation drivers and financial stress," BIS Working Papers 1155, Bank for International Settlements.
    13. Ruge-Murcia, Francisco, 2020. "Estimating nonlinear dynamic equilibrium models by matching impulse responses," Economics Letters, Elsevier, vol. 197(C).
    14. Luca Brugnolini, 2018. "About Local Projection Impulse Response Function Reliability," CEIS Research Paper 440, Tor Vergata University, CEIS, revised 09 Jun 2018.
    15. Mary Everett & Jakob de Haan & David‐Jan Jansen & Peter McQuade & Anna Samarina, 2021. "Mortgage lending, monetary policy, and prudential measures in small euro‐area economies: Evidence from Ireland and the Netherlands," Review of International Economics, Wiley Blackwell, vol. 29(1), pages 117-143, February.
    16. Leonardo Nogueira Ferreira, 2023. "Monetary Policy Surprises, Financial Conditions, and the String Theory Revisited," Working Papers Series 573, Central Bank of Brazil, Research Department.
    17. Rosen Azad Chowdhury & Dilshad Jahan & Tapas Mishra & Mamata Parhi, 2024. "Monetary policy shock and impact asymmetry in bank lending channel: Evidence from the UK housing sector," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(1), pages 511-530, January.
    18. Davide Debortoli & Mario Forni & Luca Gambetti & Luca Sala, 2020. "Asymmetric monetary policy tradeoffs," Economics Working Papers 1742, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2023.
    19. Jaccard, Ivan, 2018. "Stochastic discounting and the transmission of money supply shocks," Working Paper Series 2174, European Central Bank.
    20. Kärkkäinen, Samu & Silvo, Aino, 2023. "Household debt, liquidity constraints and the interest rate elasticity of private consumption," BoF Economics Review 2/2023, Bank of Finland.
    21. Balke, Nathan S. & Martínez-García, Enrique & Zeng, Zheng, 2021. "In no uncertain terms: The effect of uncertainty on credit frictions and monetary policy," Economic Modelling, Elsevier, vol. 100(C).
    22. Nick Stenner, 2022. "The Asymmetric Effects of Monetary Policy: Evidence from the United Kingdom," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 84(3), pages 516-543, June.
    23. Ryan Niladri Banerjee & Valerie Boctor & Aaron Mehrotra & Fabrizio Zampolli, 2022. "Fiscal deficits and inflation risks: the role of fiscal and monetary policy regimes," BIS Working Papers 1028, Bank for International Settlements.

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    More about this item

    Keywords

    Impulse response function; Gaussian basis function; Structural vector moving average; Summary statistics; Asymmetric effects of monetary policy;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • 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
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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