IDEAS home Printed from https://ideas.repec.org/p/hep/macppr/200902.html
   My bibliography  Save this paper

A Detailed Derivation of the Sticky Price and Sticky Information New Keynesian DSGE Model

Author

Listed:
  • Jan-Oliver Menz

    (Department for Economics and Politics, University of Hamburg)

  • Lena Vogel

    (Department for Economics and Politics, University of Hamburg)

Abstract

This paper aims at providing macroeconomists with a detailed exposition of the New Keynesian DSGE model. Both the sticky price version and the sticky information variant are derived mathematically. Moreover, we simulate the models, also including lagged terms in the sticky price version, and compare the implied impulse response functions. Finally, we present solution methods for DSGE models, and discuss three important theoretical assumptions.

Suggested Citation

  • Jan-Oliver Menz & Lena Vogel, 2009. "A Detailed Derivation of the Sticky Price and Sticky Information New Keynesian DSGE Model," Macroeconomics and Finance Series 200902, University of Hamburg, Department of Socioeconomics.
    • Handle: RePEc:hep:macppr:200902
    as

    Download full text from publisher

    File URL: https://www.wiso.uni-hamburg.de/repec/hepdoc/macppr_2_2009.pdf
    File Function: First version, 2009
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    2. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    3. Christiano, Lawrence J. & Trabandt, Mathias & Walentin, Karl, 2011. "Introducing financial frictions and unemployment into a small open economy model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 1999-2041.
    4. Reis, Ricardo, 2006. "Inattentive consumers," Journal of Monetary Economics, Elsevier, vol. 53(8), pages 1761-1800, November.
    5. Reis, Ricardo, 2007. "The analytics of monetary non-neutrality in the Sidrauski model," Economics Letters, Elsevier, vol. 94(1), pages 129-135, January.
    6. Arslan, M. Murat, 2008. "Dynamics of sticky information and sticky price models in a New Keynesian DSGE framework," Economic Modelling, Elsevier, vol. 25(6), pages 1276-1294, November.
    7. Jeff Fuhrer & George Moore, 1995. "Inflation Persistence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 127-159.
    8. Bagliano, Fabio-Cesare & Bertola, Giuseppe, 2007. "Models for Dynamic Macroeconomics," OUP Catalogue, Oxford University Press, number 9780199228324.
    9. Bernanke, Ben & Gertler, Mark & Gilchrist, Simon, 1996. "The Financial Accelerator and the Flight to Quality," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 1-15, February.
    10. Ball, Laurence & Gregory Mankiw, N. & Reis, Ricardo, 2005. "Monetary policy for inattentive economies," Journal of Monetary Economics, Elsevier, vol. 52(4), pages 703-725, May.
    11. Harald Uhlig, 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Discussion Paper / Institute for Empirical Macroeconomics 101, Federal Reserve Bank of Minneapolis.
    12. Jordi Galí & J. David López-Salido, 2003. "Rule-of-Thumb Consumers and the Design of Interest Rate Rules," Working Papers 104, Barcelona School of Economics.
    13. Obstfeld, Maurice, 1984. "Multiple Stable Equilibria in an Optimizing Perfect-Foresight Model," Econometrica, Econometric Society, vol. 52(1), pages 223-228, January.
    14. Blanchard, Olivier Jean & Mankiw, N Gregory, 1988. "Consumption: Beyond Certainty Equivalence," American Economic Review, American Economic Association, vol. 78(2), pages 173-177, May.
    15. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    16. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    17. Ben S. Bernanke & Julio J. Rotemberg (ed.), 1997. "NBER Macroeconomics Annual 1997," MIT Press Books, The MIT Press, edition 1, volume 1, number 026252242x, December.
    18. N. Gregory Mankiw & Ricardo Reis, 2007. "Sticky Information in General Equilibrium," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 603-613, 04-05.
    19. Fuhrer, Jeffrey C., 2010. "Inflation Persistence," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 9, pages 423-486, Elsevier.
    20. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    21. McCallum, Bennett T., 1998. "Solutions to linear rational expectations models: a compact exposition," Economics Letters, Elsevier, vol. 61(2), pages 143-147, November.
    22. Obstfeld, Maurice & Rogoff, Kenneth, 1983. "Speculative Hyperinflations in Maximizing Models: Can We Rule Them Out?," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 675-687, August.
    23. McCallum, Bennett T & Nelson, Edward, 1999. "An Optimizing IS-LM Specification for Monetary Policy and Business Cycle Analysis," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(3), pages 296-316, August.
    24. Christopher D. Carroll & Miles S. Kimball, 2006. "Precautionary Saving and Precautionary Wealth," Economics Working Paper Archive 530, The Johns Hopkins University,Department of Economics.
    25. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    26. Bruce Greenwald & Joseph E. Stiglitz, 1993. "New and Old Keynesians," Journal of Economic Perspectives, American Economic Association, vol. 7(1), pages 23-44, Winter.
    27. Tommy Sveen & Lutz Weinke, 2004. "Pitfalls in the modeling of forward-looking price setting and investment decisions," Economics Working Papers 773, Department of Economics and Business, Universitat Pompeu Fabra.
    28. Ricardo Reis, 2006. "Inattentive Producers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 793-821.
    29. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    30. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    31. McCallum, Bennett T., 1983. "On non-uniqueness in rational expectations models : An attempt at perspective," Journal of Monetary Economics, Elsevier, vol. 11(2), pages 139-168.
    32. Michael Woodford, 1998. "Control of the Public Debt: A Requirement for Price Stability?," International Economic Association Series, in: Guillermo Calvo & Mervyn King (ed.), The Debt Burden and its Consequences for Monetary Policy, chapter 5, pages 117-158, Palgrave Macmillan.
    33. Trabandt, Mathias, 2003. "Sticky Information vs. Sticky Prices : A Horse Race in a DSGE Framework," SFB 373 Discussion Papers 2003,41, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    34. Julio J. Rotemberg & Michael Woodford, 1997. "An Optimization-Based Econometric Framework for the Evaluation of Monetary Policy," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 297-361, National Bureau of Economic Research, Inc.
    35. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    36. Uhlig, H.F.H.V.S., 1995. "A toolkit for analyzing nonlinear dynamic stochastic models easily," Other publications TiSEM cc1b2469-9d2f-445a-a2b3-1, Tilburg University, School of Economics and Management.
    37. Ono, Yoshiyasu, 2001. "A Reinterpretation of Chapter 17 of Keynes's General Theory: Effective Demand Shortage under Dynamic Optimization," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(1), pages 207-236, February.
    38. Meyer-Gohde, Alexander, 2010. "Linear rational-expectations models with lagged expectations: A synthetic method," Journal of Economic Dynamics and Control, Elsevier, vol. 34(5), pages 984-1002, May.
    39. Bennett T. McCallum, 2001. "Should Monetary Policy Respond Strongly to Output Gaps?," American Economic Review, American Economic Association, vol. 91(2), pages 258-262, May.
    40. N. Gregory Mankiw & Ricardo Reis, 2006. "Pervasive Stickiness," American Economic Review, American Economic Association, vol. 96(2), pages 164-169, May.
    41. Jeffrey C. Fuhrer, 2000. "Habit Formation in Consumption and Its Implications for Monetary-Policy Models," American Economic Review, American Economic Association, vol. 90(3), pages 367-390, June.
    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. Lahcen, Mohammed Ait, 2014. "DSGE models for developing economies: an application to Morocco," MPRA Paper 63404, University Library of Munich, Germany.
    2. Hübner, Malte & Vannoorenberghe, Gonzague, 2015. "Patience and Inflation," MPRA Paper 65811, University Library of Munich, Germany.
    3. Carlos E. Posada & Alfredo Villca, 2017. "¿Es conveniente una autoridad monetaria “blanda”?," Documentos de Trabajo de Valor Público 15673, Universidad EAFIT.

    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. Lena Draeger, 2011. "Endogenous persistence with recursive inattentiveness," KOF Working papers 11-285, KOF Swiss Economic Institute, ETH Zurich.
    2. Wieland, Volker & Cwik, Tobias & Müller, Gernot J. & Schmidt, Sebastian & Wolters, Maik, 2012. "A new comparative approach to macroeconomic modeling and policy analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 83(3), pages 523-541.
    3. Mr. Tamim Bayoumi & Ms. Silvia Sgherri, 2004. "Deconstructing the Art of Central Banking," IMF Working Papers 2004/195, International Monetary Fund.
    4. Fujiwara, Ippei & Hara, Naoko & Hirose, Yasuo & Teranishi, Yuki, 2005. "The Japanese Economic Model (JEM)," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 23(2), pages 61-142, May.
    5. Schmidt, Sebastian & Wieland, Volker, 2013. "The New Keynesian Approach to Dynamic General Equilibrium Modeling: Models, Methods and Macroeconomic Policy Evaluation," Handbook of Computable General Equilibrium Modeling, in: Peter B. Dixon & Dale Jorgenson (ed.), Handbook of Computable General Equilibrium Modeling, edition 1, volume 1, chapter 0, pages 1439-1512, Elsevier.
    6. Juan Páez‐Farrell, 2007. "Output And Inflation In Models Of The Business Cycle With Nominal Rigidities: Further Counterfactual Implications," Scottish Journal of Political Economy, Scottish Economic Society, vol. 54(4), pages 475-491, September.
    7. Arslan, M. Murat, 2010. "Relative importance of sticky prices and sticky information in price setting," Economic Modelling, Elsevier, vol. 27(5), pages 1124-1135, September.
    8. Arslan, M. Murat, 2008. "Dynamics of sticky information and sticky price models in a New Keynesian DSGE framework," Economic Modelling, Elsevier, vol. 25(6), pages 1276-1294, November.
    9. Givens, Gregory E. & Salemi, Michael K., 2008. "Generalized method of moments and inverse control," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3113-3147, October.
    10. William A. Branch & John Carlson & George W. Evans & Bruce McGough, 2009. "Monetary Policy, Endogenous Inattention and the Volatility Trade‐off," Economic Journal, Royal Economic Society, vol. 119(534), pages 123-157, January.
    11. Galí, Jordi, 2002. "New Perspectives on Monetary Policy, Inflation and the Business Cycle," CEPR Discussion Papers 3210, C.E.P.R. Discussion Papers.
    12. De Grauwe, Paul & Macchiarelli, Corrado, 2015. "Animal spirits and credit cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 59(C), pages 95-117.
    13. Dennis, Richard & Soderstrom, Ulf, 2006. "How Important Is Precommitment for Monetary Policy?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(4), pages 847-872, June.
    14. Casares, Miguel & McCallum, Bennett T., 2006. "An optimizing IS-LM framework with endogenous investment," Journal of Macroeconomics, Elsevier, vol. 28(4), pages 621-644, December.
    15. Arturo Estrella & Jeffrey C. Fuhrer, 2002. "Dynamic Inconsistencies: Counterfactual Implications of a Class of Rational-Expectations Models," American Economic Review, American Economic Association, vol. 92(4), pages 1013-1028, September.
    16. Kimura, Takeshi & Kurozumi, Takushi, 2007. "Optimal monetary policy in a micro-founded model with parameter uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 399-431, February.
    17. Amato, Jeffery D. & Laubach, Thomas, 2003. "Rule-of-thumb behaviour and monetary policy," European Economic Review, Elsevier, vol. 47(5), pages 791-831, October.
    18. Gaurav Saroliya, 2007. "The New Keynesian Business Cycle Achievements and Challenges," Discussion Papers 07/20, Department of Economics, University of York.
    19. Chou, Jenyu & Easaw, Joshy & Minford, Patrick, 2023. "Does inattentiveness matter for DSGE modeling? An empirical investigation," Economic Modelling, Elsevier, vol. 118(C).
    20. Cho, Seonghoon & Moreno, Antonio, 2006. "A Small-Sample Study of the New-Keynesian Macro Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(6), pages 1461-1481, September.

    More about this item

    Keywords

    New Keynesian Model; Sticky Prices; Sticky Information; Solution Algorithms;
    All these keywords.

    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

    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:hep:macppr:200902. 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: Ulrich Fritsche (email available below). General contact details of provider: https://edirc.repec.org/data/dwuhhde.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.