I spent a lot of money on booze, birds, and fast cars. The rest I just squandered. George Best
I spent a lot of money on booze, birds, and fast cars. The rest I just squandered. George Best
Next individual homework deadline: 12 October 2025, 10:00 am
Empirical Evidence and Monetary Non-Neutrality
Empirical Evidence (slides)
The Neutrality Debate (slides)
Self-individual Assessments (SAs): SA #1 and SA #2 [delivery Sunday, 12 October 2025, 23:00 am]. You should complete these on your own. The test is a multiple-choice test with 15 questions. The test is considered passed when you answer all the questions correctly. You can attempt it as many times as you like during the assignment period, and it's considered passed if you answer all the questions correctly at least once.
Extra: Monetary Policy, Now and in the Past: Charts and More (link)
Theoretical Foundations
Old Keynesian Approach (slides)
Handout: IS-LM static model (extra: The Great Depression, read it, but it is not mandatory for the exam.)
Extras: The Classic model (RBC model) / Blanchard and Kiyotaki model (slides)
New Keynesian Model
The New Keynesian DSGE model (Mickey-Mouse version slides)
Extra. New Keynesian DSGE Mickey-Mouse code (dynare)
Tools
Backward-looking economies / Forward-looking economies (slides)
How to solve: The K equation Excel and Matlab codes (handout on deterministic simulations)
Groups 🏆⚽
🔫 The Gunners. Isabelle Mortillaro, Lorenzo d’Antonio, Vera Ceccarelli, Dora di Giacomo.
👺 The Villans. Giovanni Alfano, Nicola Cocco, Rebecca De Luca, Giorgio Vona.
🧿 The Blues. Irene Ferraioli, Lorenzo Giordani, Isabella Bonetto, Alessio Morrone.
⭕ The Reds. Aurelia Fent, Ermelinda (Ermi) Marku, Markus Hietanen.
👹 The Red Devils. Minh Ngan Nguyen, Cansin Meltem Kalayci, Amalie Hulaas, James Golden.
🐲 The Dragons. Shan Yujie, Sun Yunyang, Kong Yawen, Ru Mengyu.
🔨 The Hammers. Giorgio Ingravalle, Marco Soricone, Samreen Hassan .
🐓 The Spurs. Delfina Yazmin Nieva, María de la Paz Vera Vionnet, Luciana Gaido, Laureano Tumas
🏠 The Citizens. Ahmad Muhammad, Emilien Hartmann, Vincent Piechaud Hevin
🐾 The Wolves. Ruiyu Yang, Mari Le Berre.
🐻❄️ The Lilywhites. Isabella Bigiotti.
Slides
Handouts
Short and long-run statistical evidence (correlations)
The debate on money neutrality (causality)
References
Galì: 1.2.1 or Acocella: 5.2
Homeworks
Homework 1 (good luck!) [solution 1 / solution 2]
Extras*
Walsh, C. E. (2010), Monetary Theory and Policy, Fourth Edition, MIT Press: Chapter 1 (further details)
Slides
Handouts
References
Acocella: Chapter 2
Homeworks
Homework 2 [solution]
Extras
The Great Depression (read it, but it is not mandatory for the exam)
The K equation Excel and Matlab codes (see the handout on the deterministic simulations)
Original references
Hicks J., Mr. Keynes and the “Classic”: A Suggested Interpretation, Econometrica, 1937
Modigliani F., Liquidity Preference and the Theory of Interest and Money, Econometrica, 1944
Slides
Handouts
References.
Note that Phillip Cagan was a student of Milton Friedman, and the expectation scheme used in his work was based on adaptive expectations (differently from the slides). The rational expectations version is due to Tom Sargent
Original article: Cagan, P., The Monetary Dynamics of Hyperinflation, in Milton Friedman (ed.), Studies in the Quantity Theory of Money, Chicago: University of Chicago Press, 1956
Sargent T. J., The Demand for Money during Hyperinflations under Rational Expectations: I, International Economic Review, 1977
Homeworks
Extras
Slides
The New Keynesian DSGE model (Mickey-Mouse version)
Handouts
References.
Galì: Chapters 2 and 3 (formalized)
Acocella: Chapters 3 and 4 (less formal)
Blanchard, O. J., and N. Kiyotaki (1987), Monopolistic competition and the effects of aggregate demand, American Economic Review, 77: 647.666.
Extras
New Keynesian DSGE Mickey-Mouse code (dynare)
Slides
Handouts
References.
Galì: Chapters 4 (formalized)
Acocella: Chapter 5 (less formal)
Clarida R., J. Galí, M. Gertler, The science of monetary policy: A New Keynesian perspective, Journal of Economic Literature, 1999, 37: 1661-1707
Homeworks
EU (Stagflation is coming! Unconventional vs. conventional policies. The inflation target. The ECB policy during the Covid19)
The ECB's policy measures during the COVID-19 crisis by Pierpaolo Benigno & Paolo Canofari & Giovanni Di Bartolomeo & Marcello Messori
Financial dominance in the pandemic and post-pandemic European economy by Pierpaolo Benigno & Paolo Canofari & Giovanni Di Bartolomeo & Marcello Messori
The implementation and the rationale of the new inflation target of the ECB by Pierpaolo Benigno & Paolo Canofari & Giovanni Di Bartolomeo & Marcello Messori
Uncertainty and the pandemic shocks by Pierpaolo Benigno & Paolo Canofari & Giovanni Di Bartolomeo & Marcello Messori
The ECB's Asset Purchase Programme: Theory, effects, and risks by Pierpaolo Benigno & Paolo Canofari & Giovanni Di Bartolomeo & Marcello Messori
The debate about the DSGE models usage
Mankiw, N. G., 2006, The Macroeconomist as Scientist and Engineer, Journal of Economic Perspectives, 20.
Blanchard, O., 2018. On the future of macroeconomic models. Oxford Review of Economic Policy, 34.
Christiano, L. J. & M. S. Eichenbaum & M. Trabandt, 2018. On DSGE Models, Journal of Economic Perspectives, 32.
Lindé, J., 2018. DSGE models: still useful in policy analysis? Oxford Review of Economic Policy, 34.
Rao C. & A. M. Sbordone & A. Tambalotti & K. Walsh, 2010. Policy analysis using DSGE models: An introduction, Economic Policy Review, New York Fed, 16.
Gürkaynak, R. & C. Tille, 2017, DSGE Models in the Conduct of Policy: Use as intended, A VoxEU.org Book, CEPR Press
Introduction
Self Assessment #1 [delivery Tuesday, 17 October 2023, 10:35 am]
Self Assessment #2 [delivery Thursday, 19 October 2023, 10:35 am]
The Real Business Cycle Approach
Solving the Model (by paper& pencil and with the computer)
Team Homework #1 [extra time delivery Thursday, 19 October 2023, 12:00 am]
Self Assessment #3 [delivery Thursday, 19 October 2023, 10:35 am]
Self Assessment #4 [delivery Thursday, 19 October 2023, 10:35 am]
The New Keynesian Approach
Blanchard and Kiyotaki Model (real rigidities)
Team Homework #2 [extra time delivery Sunday, 29 October 2023, 12:00 am]
Woodford-Galì DSGE Model (nominal rigidities)
Monetary Policy in the Woodford-Galì DSGE Model: Rules and REE Determinacy
Optimal Monetary Policy in the Woodford-Galì DSGE model: Discretion vs. Commitment
Additional topics
Ramsey's Approach and the Optimal Inflation Rate (Schmitt-Grohe and Uribe and Acocella, Di Bartolomeo and Tirelli's Extension)
References for Class 1-3
Walsh, C. E. (2010), "Monetary theory and policy," MIT Press, Cambridge, 3rd ed: Chapter 1.
Additional materials: Introduction to Matlab (slides); Handout on the VAR Approach; Exercise.
Reference for Class 4
Kiyotaki N. and R. Wright (1993), "A Search-Theoretic Approach to Monetary Economics," American Economic Review, Vol. 83, No. 1, pp. 63-77.
Gu C., H. Han, and R. Wright (2019), "New Monetarist Economics," Oxford Research Encyclopedia of Economics and Finance.
Reference for Class 5
Paul A. Samuelson (1958), "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, Vol. 66, No. 6, pp. 467-482
Class 6 - The Textbook Model
Handout: The Great Depression Interpreted through the IS/LM Lens
Original references
Hicks J., Mr. Keynes and the “Classic”: A Suggested Interpretation, Econometrica, 1937
Modigliani F., Liquidity Preference and the Theory of Interest and Money, Econometrica, 1944
Homework No. 3 / Solution HW 3.1 (IS-LM). Type go_all to run / Solution HW 3.2 (IS-LM) to test the liquidity effect just type: corr(oo_.endo_simul(2,101:end)', oo_.endo_simul(4,101:end)') / Solution HW 3.3
Class 8 - The Cagan Model
Note that Phillip Cagan was a student of Milton Friedman, and the expectation scheme used in his work was based on adaptive expectations (differently from the slides). The RE version is due to Tom Sargent
Class handout: The Cagan's model
References for Class 8
Cagan, P., The Monetary Dynamics of Hyperinflation, in Milton Friedman (ed.), Studies in the Quantity Theory of Money, Chicago: University of Chicago Press, 1956
Sargent T. J., The Demand for Money during Hyperinflations under Rational Expectations: I, International Economic Review, 1977 (Sargent's codes: ML and Bayesian estimation of Cagan's model with RE)
References for Class 9 and 11
Gali, J., Monetary Policy, Inflation and the Business Cycle: An Introduction to the New Keynesian Framework, Princeton University Press, 2015, 2nd ed. Chapter 2
Additional material: Difference equations handout
Reading
Romer D., Keynesian Macroeconomics without the LM Curve, Journal of Economic Perspectives, 2000
Homework 4 [Help: in answering to (1.b), you can ignore Cagan's eq. (11) [just compute current expectations by using all values of past inflation]] / HW 4.1 Solution (Cagan) / HW 4.2 Solution (MIU)
Class 14 - Taylor Rule and US Monetary Policy (1979-2005) (From the conquest of the American inflation to the Great Moderation)
Dynare codes Replicate the figures from Gali's book (Chapter 3)
Reference for Class 12 and 15
Gali, J., Monetary Policy, Inflation and the Business Cycle: An Introduction to the New Keynesian Framework, Princeton University Press, 2015, 2nd ed. Chapters 3 and 4
Readings
Blanchard O. J. and N. Kiyotaki, Monopolistic Competition and the Effects of Aggregate Demand, American Economic Review, 77: 647-666, 1987
Bernanke B. S. / Blinder A. S. / McCallum B. T. [Panel Discussion], What Have We Learned Since October 1979?, Federal Reserve Bank of St. Louis Review, March/April 2005, 87(2, Part 2): 277-282
Details on computations, Handout on CGG (1999)
References for Class 16-18
Gali, J., Monetary Policy, Inflation and the Business Cycle: An Introduction to the New Keynesian Framework, Princeton University Press, 2015, 2nd ed. Chapter 5
Clarida R., Galí J., and Gertler M. (1999), The Science of Monetary Policy, Journal of Economic Literature, 37: 1661-1707
References for Class 19
Benigno P., Canofari P., Di Bartolomeo G., Messori M., Theory, evidence, and risks of the ECB’s Asset Purchase Programme, prepared for the European Parliament’s Committee on Economic and Monetary Affairs (ECON) as an input to the Monetary Dialogue of 28 September 2020 between ECON and the President of the European Central Bank, 2020.
Rostagno, M., Altavilla, C., Carboni, G., Lemke, W., Motto, R., Guilhem, A. S., Yiangou, J., A tale of two decades: the ECB’s monetary policy at 20, ECB Working Paper No. 2346, 2020.
Neri, S., Siviero, S., The non-standard monetary policy measures of the ECB: Motivations, effectiveness and risks, Credit and Capital Markets, Credit and Capital Markets, 51: 513-560, 2020.
Class Lectures
Lecture 1 - The evidence
Slides - Reference: Read Walsh Chapter 1
Lecture 2 - Macro theory: A review
Slides - Reference: See below - Optimal policy in the 60s. Play with the Phillips curve (OSL)
Lecture 3 - DSGE example (RBC model)
Slides - A good description of the RBC model can be found in Var der Ploeg and Heijdra (2002): Look at their slides (Chapter 15)
Lecture 4 - Using Dynare (see below)
Slides - Dynare manual - Example code
Lecture 5 - From RBC to New Keynesian DSGE model
Slides - Read Gali Chapter 1. If you want more details on price stickiness, look at Klenow and Malin (2011) [see below]
Lecture 6 - Inter-temporal consumption choice (Euler equation)
Slides - Read Gali Chapter 2 (15-20)
Lecture 7 - Monopolistic competition
Slides - Read Gali Chapter 4 (71-74). Refresh your knowledge with a video from prof. Welker (video)
Lecture 8 - Small menu cost and price adjustment
Slides - See Mankiw G, Small menu costs and large business cycles: A macroeconomic model of monopoly, Quarterly Journal of Economics, 1985
Lecture 9 - New Keynesian DSGE model: A guided tour
Slides - Read Gali Chapter 3 (42-56) and Carlin W and D Soskice, The 3-equation New Keynesian model: A graphical exposition, Contributions to Macroeconomics, 2005 - Handout on log linearization
Lecture 10 - Optimal discretionary policies
Slides - Read Gali Chapter 5 (98-102)
Lecture 11 - REE stability and Taylor's rules
Slides - Read Gali Chapter 4 (75-89) - Look at Inflation in the 70s - Read (again) Clarida R, J Gali, M Gertler, Monetary policy rules and macroeconomic stability: Evidence and some theory, Quarterly Journal of Economics, 2000
Lecture 12 - Policy regimes and inflation targeting
Slides - Read Mishkin F, Inflation targeting, Encyclopedia of Macroeconomics, 2002; and Walsh C, Teaching inflation targeting: An analysis for intermediate macro, Journal of Economic Education, 2002
Lecture 13 - Policy regimes: The theory
Slides - Read Gali Chapter 5 - Read Clarida R, J Gali, M Gertler, The science of monetary policy: A New Keynesian perspective, Journal of Economic Literature, 1999
Lecture 14 - Friedman rule
Slides - Read Gali Chapter 2 (24-34)
Lecture 15 - The optimal inflation rate
Slides - Read Di Bartolomeo G, P Tirelli, N Acocella, The optimal inflation rate revisited, WPCom working paper no 69, 2011
Lecture 16 - The working capital channel in New Keynesian DSGE models
Slides - Read Christiano L, M Traband and K Walentin, DSGE models for monetary policy analysis, in B Friedman and M Woodford, editors, Handbook of Monetary Economics, 2011 and Walsh C and F Ravenna, Optimal monetary policy with the cost channel, Journal of Monetary Economics, 2006
Lecture 17 - Taking the model to the data
RBC approximation (mod), RBC estimation (mod), A NK DSGE model (mod and data) - Read Fernández-Villaverde J, The econometrics of DSGE models, SERIEs, 2010
Lecture 18 - Monetary economy in emerging markets
Slides - Read Frankel J, Monetary policy in emerging markets: A survey, B Friedman and M Woodford, editors, Handbook of Monetary Economics, 2010
Tool: DYNARE
Dynare is a software platform for handling a broad class of economic models, particularly dynamic stochastic general equilibrium (DSGE). Dynare is free software that can be downloaded free of charge. Download Dynare from the download page. Dynare needs MATLAB, which is not free. Campus licenses for MATLAB allow downloading the software for free on a PC connected to the Sapienza University network (details).
An excellent alternative to MATLAB is to use Octave, which is a freeware software!!!! Download the Octave installer at the Octave download page. Double-click on the Octave installer and follow the instructions. Download the latest Dynare Windows installer at the download page. Double-click on the Dynare installer and follow the instructions. Run Octave by locating it in the Windows start menu or on the desktop and clicking on its icon. Configuring Octave for Dynare. Type the following at the Octave command prompt: replace 4.x.y with your Dynare version.
You can download the Dynare user guide here (T. Mancini Griffoli).
Homeworks (solutions will be distributed in class.)
Homework 2 - Read: Blanchard OJ, What do we know about macroeconomics that Fisher and Wicksell did not?, Quarterly Journal of Economics, 2000
Dynare solution (levels and logs). Think about the difference between the two versions of the solution!!!
Homework 3 - Read: Clarida R, J Gali, M Gertler, Monetary policy rules and macroeconomic stability: Evidence and some theory, Quarterly Journal of Economics, 2000
Homework 4 - (replicate this figure with or without habits) - Solution.
Homework 5 - (write a loop that checks the determinacy for different values of the coefficients on inflation and output gap in the Taylor rule.)
Homework 6 - (see the last slide: Inflation in the 70s) - Solution look at Clarida R, J Gali, M Gertler, The science of monetary policy: A New Keynesian perspective, Journal of Economic Literature, 1999.
Homework 7 - (a) Read Di Bartolomeo G, P Tirelli, N Acocella, The optimal inflation rate revisited, WPCom, 2011 and discuss why the positive rate of inflation can be positive; b) read Ascari G and T Ropele, Trend inflation, Taylor principle and indeterminacy, Journal of Money, Credit and Banking, 2009, and discuss how trend inflation affects the determinacy of REE under a Taylor rule type).
Main reference
Gali J (2008), Monetary Policy, Inflation, and the Business Cycle, Princeton University Press (the best introduction to New Keynesian models)
Carlin W and D Soskice, The 3-equation New Keynesian model: A graphical exposition, Contributions to Macroeconomics, 5, 2005
Walsh C, Teaching inflation targeting: An analysis for intermediate macro, Journal of Economic Education, 2002
Clarida R, J Gali, M Gertler, Monetary policy rules and macroeconomic stability: Evidence and some theory, Quarterly Journal of Economics, 2000
Clarida R, J Gali, M Gertler, The science of monetary policy: A New Keynesian perspective, Journal of Economic Literature, 1999
N. Acocella, G. Di Bartolomeo, A. Hughes Hallett, Macroeconomic Paradigms and Economic Policy, Cambridge University Press, 2016
J. Galì, Monetary Policy, Inflation, and the Business Cycle, Princeton University Press, 2015
A short video with an introduction to Dynare with a focus on solution and simulation methods by Willi Mutschler (we thank him)
Disclaimer
Web page materials are not self-contained, do not always constitute original material, and contain some “cut and paste” pieces from various sources that might not always explicitly refer to (although I am trying to cite my sources as much as possible). Therefore, they are not intended to be used outside the course or distributed. Thank you for catching typos and mistakes