IDEAS home Printed from https://ideas.repec.org/p/rtv/ceisrp/440.html
   My bibliography  Save this paper

About Local Projection Impulse Response Function Reliability

Author

Listed:
  • Luca Brugnolini

    (Central Bank of Malta's Research Department)

Abstract

I compare the performance of the vector autoregressive (VAR) model impulse response function estimator with the Jordà (2005) local projection (LP) methodology. In a Monte Carlo experiment, I demonstrate that when the data generating process is a well-specified VAR, the standard impulse response function estimator is the best option. However, when the sample size is small, and the model lag-length is misspecified, I prove that the local projection estimator is a competitive alternative. Finally, I show how to improve the local projection performance by fixing the lag-length at each horizon.

Suggested Citation

  • Luca Brugnolini, 2018. "About Local Projection Impulse Response Function Reliability," CEIS Research Paper 440, Tor Vergata University, CEIS, revised 09 Jun 2018.
    • Handle: RePEc:rtv:ceisrp:440
    as

    Download full text from publisher

    File URL: https://ceistorvergata.it/RePEc/rpaper/RP440.pdf
    File Function: Main text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alan J. Auerbach & Yuriy Gorodnichenko, 2012. "Measuring the Output Responses to Fiscal Policy," American Economic Journal: Economic Policy, American Economic Association, vol. 4(2), pages 1-27, May.
    2. Runkle, David E, 1987. "Vector Autoregressions and Reality," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 437-442, October.
    3. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148, Elsevier.
    4. Marcellino, Massimiliano & Stock, James H. & Watson, Mark W., 2006. "A comparison of direct and iterated multistep AR methods for forecasting macroeconomic time series," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 499-526.
    5. James H. Stock & Mark W. Watson, 2017. "Twenty Years of Time Series Econometrics in Ten Pictures," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 59-86, Spring.
    6. Hamilton, James D., 2011. "Nonlinearities And The Macroeconomic Effects Of Oil Prices," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S3), pages 364-378, November.
    7. Silvana Tenreyro & Gregory Thwaites, 2016. "Pushing on a String: US Monetary Policy Is Less Powerful in Recessions," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(4), pages 43-74, October.
    8. Alan J. Auerbach & Yuriy Gorodnichenko, 2013. "Output Spillovers from Fiscal Policy," American Economic Review, American Economic Association, vol. 103(3), pages 141-146, May.
    9. Ambrogio Cesa-Bianchi & Gregory Thwaites & Alejandro Vicondoa, 2016. "Monetary Policy Transmission in an Open Economy: New Data and Evidence from the United Kingdom," Discussion Papers 1612, Centre for Macroeconomics (CFM), revised Aug 2016.
    10. Alan J. Auerbach & Yuriy Gorodnichenko, 2012. "Fiscal Multipliers in Recession and Expansion," NBER Chapters, in: Fiscal Policy after the Financial Crisis, pages 63-98, National Bureau of Economic Research, Inc.
    11. Regis Barnichon & Davide Debortoli & Christian Matthes, 2022. "Understanding the Size of the Government Spending Multiplier: It’s in the Sign [Downward Wage Rigidity and Business Cycle Asymmetries]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(1), pages 87-117.
    12. Hall, Alastair R. & Inoue, Atsushi & Nason, James M. & Rossi, Barbara, 2012. "Information criteria for impulse response function matching estimation of DSGE models," Journal of Econometrics, Elsevier, vol. 170(2), pages 499-518.
    13. David E. Runkle, 1987. "Vector autoregressions and reality," Staff Report 107, Federal Reserve Bank of Minneapolis.
    14. Silvia Miranda-Agrippino & Giovanni Ricco, 2021. "The Transmission of Monetary Policy Shocks," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(3), pages 74-107, July.
    15. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    16. Michael T. Owyang & Valerie A. Ramey & Sarah Zubairy, 2013. "Are government spending multipliers greater during periods of slack? evidence from 20th century historical data," Working Papers 2013-004, Federal Reserve Bank of St. Louis.
    17. Nicholas M. Kiefer & Timothy J. Vogelsang & Helle Bunzel, 2000. "Simple Robust Testing of Regression Hypotheses," Econometrica, Econometric Society, vol. 68(3), pages 695-714, May.
    18. Ronayne, David, 2011. "Which Impulse Response Function?," The Warwick Economics Research Paper Series (TWERPS) 971, University of Warwick, Department of Economics.
    19. Regis Barnichon & Christian Brownlees, 2019. "Impulse Response Estimation by Smooth Local Projections," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 522-530, July.
    20. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    21. Clifford M. Hurvich & Chih‐Ling Tsai, 1993. "A Corrected Akaike Information Criterion For Vector Autoregressive Model Selection," Journal of Time Series Analysis, Wiley Blackwell, vol. 14(3), pages 271-279, May.
    22. Ramey, V.A., 2016. "Macroeconomic Shocks and Their Propagation," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 71-162, Elsevier.
    23. Michael T. Owyang & Valerie A. Ramey & Sarah Zubairy, 2013. "Are Government Spending Multipliers Greater during Periods of Slack? Evidence from Twentieth-Century Historical Data," American Economic Review, American Economic Association, vol. 103(3), pages 129-134, May.
    24. Swanson, Eric T., 2021. "Measuring the effects of federal reserve forward guidance and asset purchases on financial markets," Journal of Monetary Economics, Elsevier, vol. 118(C), pages 32-53.
    25. Kilian, Lutz, 2001. "Impulse Response Analysis in Vector Autoregressions with Unknown Lag Order," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(3), pages 161-179, April.
    26. Régis Barnichon & Christian Matthes & Alexander Ziegenbein, 2016. "Theory Ahead of Measurement? Assessing the Nonlinear Effects of Financial Market Disruptions," Working Paper 16-15, Federal Reserve Bank of Richmond.
    27. Dario Caldara & Edward Herbst, 2019. "Monetary Policy, Real Activity, and Credit Spreads: Evidence from Bayesian Proxy SVARs," American Economic Journal: Macroeconomics, American Economic Association, vol. 11(1), pages 157-192, January.
    28. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    29. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    30. Alan J Auerbach & Yuriy Gorodnichenko, 2016. "Effects of Fiscal Shocks in a Globalized World," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(1), pages 177-215, May.
    31. Barnichon, Regis & Matthes, Christian, 2018. "Functional Approximation of Impulse Responses," Journal of Monetary Economics, Elsevier, vol. 99(C), pages 41-55.
    32. Lutz Kilian, 1998. "Confidence intervals for impulse responses under departures from normality," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 1-29.
    33. Runkle, David E, 1987. "Vector Autoregressions and Reality: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(4), pages 454-454, October.
    34. Lutz Kilian, 1998. "Small-Sample Confidence Intervals For Impulse Response Functions," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 218-230, May.
    35. Ivanov Ventzislav & Kilian Lutz, 2005. "A Practitioner's Guide to Lag Order Selection For VAR Impulse Response Analysis," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(1), pages 1-36, March.
    36. Lutz Kilian & Yun Jung Kim, 2011. "How Reliable Are Local Projection Estimators of Impulse Responses?," The Review of Economics and Statistics, MIT Press, vol. 93(4), pages 1460-1466, November.
    37. Valerie Ramey & Sarah Zubairy & Michael Owyang, 2013. "Are Government Spending Multipliers State Dependent? Evidence from U.S. and Canadian Historical Data," 2013 Meeting Papers 290, Society for Economic Dynamics.
    38. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Miranda-Agrippino, Silvia & Ricco, Giovanni, 2021. "Bayesian Local Projections," The Warwick Economics Research Paper Series (TWERPS) 1348, University of Warwick, Department of Economics.
    2. Fernandez, Raul & Palma Guizar, Brenda & Rho, Caterina, 2021. "A sentiment-based risk indicator for the Mexican financial sector," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 2(3).
    3. Luisa Corrado & Daniela Fantozzi, 2021. "Micro level data for macro models: the distributional effects of monetary policy," National Institute of Economic and Social Research (NIESR) Discussion Papers 529, National Institute of Economic and Social Research.
    4. Mikkel Plagborg‐Møller & Christian K. Wolf, 2021. "Local Projections and VARs Estimate the Same Impulse Responses," Econometrica, Econometric Society, vol. 89(2), pages 955-980, March.
    5. Claus, Edda & Nguyen, Viet Hoang, 2023. "Biased expectations," European Economic Review, Elsevier, vol. 154(C).
    6. Dake Li & Mikkel Plagborg-M{o}ller & Christian K. Wolf, 2021. "Local Projections vs. VARs: Lessons From Thousands of DGPs," Papers 2104.00655, arXiv.org, revised Jan 2024.
    7. Bruns, Martin & Lütkepohl, Helmut, 2022. "Comparison of local projection estimators for proxy vector autoregressions," Journal of Economic Dynamics and Control, Elsevier, vol. 134(C).
    8. Ivan Mendieta-Munoz & Codrina Rada & Marcio Santetti & Rudiger von Arnim, 2020. "The US labour share of income: What shocks matter?," Working Paper Series, Department of Economics, University of Utah 2020_02, University of Utah, Department of Economics.
    9. Naser Yenus Nuru & Hayelom Yrgaw Gereziher, 2021. "The impacts of public expenditure innovations on real exchange rate volatility in South Africa," WIDER Working Paper Series wp-2021-72, World Institute for Development Economic Research (UNU-WIDER).
    10. Helmut Franken & Alejandro Jara, 2023. "Monetary Policy Tightening and Bank Lending Standards: Evidence from the Chilean Bank Loan Survey," Working Papers Central Bank of Chile 996, Central Bank of Chile.
    11. Joscha Beckmann & Mariarosaria Comunale, 2020. "Exchange rate fluctuations and the financial channel in emerging economies," Bank of Lithuania Working Paper Series 83, Bank of Lithuania.
    12. Jara, Alejandro & Piña, Marco, 2023. "Exchange rate volatility and the effectiveness of FX interventions: The case of Chile," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 4(2).
    13. Giovanna Ciaffi & Matteo Deleidi & Enrico Sergio Levrero, 2023. "The macroeconomic effects of public expenditure in research and development," Working Papers 64, Birkbeck Centre for Innovation Management Research, revised 29 Mar 2023.
    14. Alimov, Behzod, 2022. "The dynamic effects of debt and equity inflows: Evidence from emerging and developing countries," The Journal of Economic Asymmetries, Elsevier, vol. 26(C).
    15. José Luis Montiel Olea & Mikkel Plagborg‐Møller, 2021. "Local Projection Inference Is Simpler and More Robust Than You Think," Econometrica, Econometric Society, vol. 89(4), pages 1789-1823, July.
    16. Kim, Wongi, 2021. "Macroeconomic effects of government transfer payments: Evidence from Korea," Economic Modelling, Elsevier, vol. 102(C).
    17. Alejandro Jara & Marco Piña, 2022. "Exchange rate volatility and the effectiveness of FX interventions: the case of Chile," Working Papers Central Bank of Chile 962, Central Bank of Chile.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ramey, V.A., 2016. "Macroeconomic Shocks and Their Propagation," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 71-162, Elsevier.
    2. Esra Alp Coşkun & Hakan Kahyaoglu & Chi Keung Marco Lau, 2023. "Which return regime induces overconfidence behavior? Artificial intelligence and a nonlinear approach," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-34, December.
    3. Maghyereh, Aktham & Abdoh, Hussein, 2021. "The effect of structural oil shocks on bank systemic risk in the GCC countries," Energy Economics, Elsevier, vol. 103(C).
    4. Alloza, Mario & Sanz, Carlos & Gonzalo, Jesús, 2019. "Dynamic Effects of Persistent Shocks," UC3M Working papers. Economics 29187, Universidad Carlos III de Madrid. Departamento de Economía.
    5. Biolsi, Christopher, 2017. "Nonlinear effects of fiscal policy over the business cycle," Journal of Economic Dynamics and Control, Elsevier, vol. 78(C), pages 54-87.
    6. Cardi, Olivier & Restout, Romain & Claeys, Peter, 2020. "Imperfect mobility of labor across sectors and fiscal transmission," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    7. Francisco Serranito & Philipp RODERWEIS & Jamel Saadaoui, 2023. "Is Quantitative Easing Productive? The Role of Bank Lending in the Monetary Transmission Process," EconomiX Working Papers 2023-17, University of Paris Nanterre, EconomiX.
    8. Fresoli, Diego & Ruiz, Esther & Pascual, Lorenzo, 2015. "Bootstrap multi-step forecasts of non-Gaussian VAR models," International Journal of Forecasting, Elsevier, vol. 31(3), pages 834-848.
    9. Patrick Blagrave & Giang Ho & Ksenia Koloskova & Mr. Esteban Vesperoni, 2017. "Fiscal Spillovers: The Importance of Macroeconomic and Policy Conditions in Transmission," IMF Spillover Notes 2017/002, International Monetary Fund.
    10. Lusompa, Amaze, 2019. "Local Projections, Autocorrelation, and Efficiency," MPRA Paper 99856, University Library of Munich, Germany, revised 11 Apr 2020.
    11. Sangyup Choi & Tim Willems & Seung Yong Yoo, 2022. "Revisiting the Monetary Transmission Mechanism Through an Industry-Level Differential Approach," IMF Working Papers 2022/017, International Monetary Fund.
    12. Alloza, Mario & Burriel, Pablo & Pérez, Javier J., 2019. "Fiscal policies in the euro area: Revisiting the size of spillovers," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.
    13. Holtemöller, Oliver & Brautzsch, Hans-Ulrich & Drechsel, Katja & Drygalla, Andrej & Giesen, Sebastian & Hennecke, Peter & Kiesel, Konstantin & Loose, Brigitte & Meier, Carsten-Patrick & Zeddies, Götz, 2015. "Ökonomische Wirksamkeit der Konjunktur stützenden finanzpolitischen Maßnahmen der Jahre 2008 und 2009. Forschungsvorhaben im Auftrag des Bundesministeriums der Finanzen," IWH Online 4/2015, Halle Institute for Economic Research (IWH).
    14. Giovanni Pellegrino, 2021. "Uncertainty and monetary policy in the US: A journey into nonlinear territory," Economic Inquiry, Western Economic Association International, vol. 59(3), pages 1106-1128, July.
    15. Dake Li & Mikkel Plagborg-Møller & Christian K. Wolf, 2021. "Local Projections vs. VARs: Lessons From Thousands of DGPs," Working Papers 2021-55, Princeton University. Economics Department..
    16. Regis Barnichon & Davide Debortoli & Christian Matthes, 2022. "Understanding the Size of the Government Spending Multiplier: It’s in the Sign [Downward Wage Rigidity and Business Cycle Asymmetries]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(1), pages 87-117.
    17. Kilian, Lutz & Kim, Yun Jung, 2009. "Do Local Projections Solve the Bias Problem in Impulse Response Inference?," CEPR Discussion Papers 7266, C.E.P.R. Discussion Papers.
    18. Mr. Tidiane Kinda & Andras Lengyel & Kaustubh Chahande, 2022. "Fiscal Multipliers During Pandemics," IMF Working Papers 2022/149, International Monetary Fund.
    19. Bonciani, Dario, 2015. "Estimating the effects of uncertainty over the business cycle," MPRA Paper 65921, University Library of Munich, Germany.
    20. Brüggemann, Ralf & Jentsch, Carsten & Trenkler, Carsten, 2016. "Inference in VARs with conditional heteroskedasticity of unknown form," Journal of Econometrics, Elsevier, vol. 191(1), pages 69-85.

    More about this item

    Keywords

    VAR; information criteria; lag-length; Monte Carlo;
    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
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:rtv:ceisrp:440. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Barbara Piazzi (email available below). General contact details of provider: https://edirc.repec.org/data/csrotit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.