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Course, academic year 2023/2024
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Macroeconomics II - JCM017
Title: Makroekonomie II
Guaranteed by: CERGE (23-CERGE)
Faculty: Faculty of Social Sciences
Actual: from 2019
Semester: summer
E-Credits: 9
Examination process: summer s.:
Hours per week, examination: summer s.:4/2, Ex [HT]
Capacity: 2 / unknown (20)
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
enabled for web enrollment
priority enrollment if the course is part of the study plan
Guarantor: prof. Ing. Michal Kejak, M.A., CSc.
Teacher(s): prof. Ing. Michal Kejak, M.A., CSc.
PhDr. Mgr. Ctirad Slavík, Ph.D.
Pre-requisite : JCM016
Is pre-requisite for: JCM022, JCM030, JCM037, JCM055, JCM056, JCM057, JCM058, JCM052, JCM050, JCM033, JCM035, JCM027, JCM031, JCM008, JCM009, JCM010, JCM011, JCM012, JCM013, JCM015, JCM018, JCM019, JCM023, JCM025, JCM026, JCM028, JCM032, JCM034, JCM036, JCM006, JCM059, JCM029, JCM007

Part I

This is the second part of the Advanced Macro sequence. It will be both about learning technical tools and about applying them. We will set up a pretty general CE model with infinite horizon, heterogenous firms and consumers. We will prove the First Welfare Theorem and discuss the Second Welfare Theorem for this environment. Then we will show how to simplify the model to the deterministic one sector growth model (aggregation). In the next part of the course, we will extend the model to account for the 2 most important features of current economies: long run growth (briefly as already done in macro 1) and business cycle fluctuations. In the next part of the course, we will be interested in the government's role in the economy and the optimal fiscal policies. We will set up the classic Ramsey linear taxation problem and derive the celebrated Chamley-Judd result, which states that optimal taxes on capital are zero in the long run. Finally, we will discuss recent developments in the literature.

 Part II

This course will focus on general equilibrium models of economic growth. The course will start with neoclassical growth models and continue with recent models which try to explain long-run growth endogenously. The course will follow with some empirical evidence on growth models. The course will also cover the basic fiscal policies introduced in the neoclassical growth model. Using a basic monetary model fiscal and monetary theories will be briefly presented.


As a main textbook for Parts I to III and V we will use Barro and Sala-i-Martin’s Economic Growth [BS] and additionally Aghion and Howitt’s The Economics of Growth [AH]. For Part IV we will use Ljungquist and Sargent’s Recursive Macroeconomic Theory [LS].

Last update: Papariga Anna, Mgr. (24.01.2022)

Part I

·         Lecture notes:

1. Jones, Larry (2010): Lecture Notes, available on the course website and Larry Jones's website.

I will base most of my lectures on these notes. It is a good idea to print them out in advance, skim trough them and bring them to class. I am grateful to Larry for letting me use them.

·         Books and papers:

1. Chari, Kehoe (1999): Optimal fiscal and monetary policy, in Handbook of Macroeconomics

2. Judd, Kenneth L. (1998): Numerical Methods in Economics.

3. Ljungqvist, Lars and Thomas J. Sargent (2004): Recursive Macroeconomic Theory, MIT Press, Cambridge/London.

4. MasCollel, Whinston and Green (1995): Microeconomic Analysis.

5. Stokey, Nancy L., Robert E. Lucas with Edward C. Prescott (1989): Recursive Methods in

Economic Dynamics, Harvard University Press, Cambridge/London.

Additional readings are given at each topic.

Part II

·         [BS] Barro, Robert and Xavier Sala-i-Martin (2004) Economic Growth (Second Edition). McGraw-Hill

·         [AH] Aghion, Philippe and Peter W. Howitt (2009) The Economics of Growth. The MIT Press

·         [LS] Ljungquist, Lars and Thomas J. Sargent (2018) Recursive Macroeconomic Theory (Fourth Edition).


Last update: Papariga Anna, Mgr. (24.01.2022)
Requirements to the exam

Part I

Grading of this part of the course will be based on problem sets (25% of the grade) and a midterm exam (75% of the grade). The problem set will be graded, returned to you and discussed in a TA session organized by the TA. You are allowed (and I strongly encourage you) to work on them in groups up to 3 people. You will submit one solution for the whole group. Ideally, you should submit your problem sets typed in LaTex (e.g. WinEdt) or Scientific Word. It is a useful skill to learn in any case. Unreadable solutions will not be accepted.

Part II

Grades will be based on student’s performance final exam and homeworks set weekly. There will also The grading schemes is the following:

                                                                         Part II      Full course (Part I and Part II)                                      

Final exam                                                          70%            35%

Problem sets and class participation                      30%           15%

Last update: Papariga Anna, Mgr. (24.01.2022)

Part I

1.       Introduction (~3 lectures).


·         What is macroeconomics? What is a macroeconomic model? HP filtering. A general infinite horizon economy with consumers and firms. Competitive equilibrium. What does the model omit? Slides. Readings: Jones, part 1.

·         Competitive equilibrium continued. (skip as already covered: Firms' problem as a sequence of static problems. CRS and the zero profit result. Feasibility. Pareto efficiency.) First Welfare Theorem (with proof) and Second Welfare Theorem (without proof). Readings: Jones, part 1, SLP, MasCollel, Whinston and Green (1995).

·         Simplifying the model: Aggregation. CRS and simplifying the firms' side. Simplifying the

consumers' side: (i) identical consumers, (ii) homothetic utility. The social planner's problem. The (stationary deterministic) one sector growth model. Readings: Jones, part 1, SLP, MasCollel, Whinston and Green (1995).


2. Extending the stationary, deterministic one sector growth model (~2 lectures).


·         (Briefly) dynamics in the deterministic one sector growth model (SLP, chapter 6). Identifying two problems with the stationary one sector growth model: no growth and no fluctuations.

Skip (covered by Veronika and Marek), but feel free to go over in the notes: Adding growth

to the one sector growth model. Exogenous growth. One sector growth model with exogenous growth and dynamic programming (rewriting the problem into one with no growth, included in Jones, part 1.). Endogenous growth - the Ak model, the A(k; h) model. Readings: Jones, part 3.

·         Adding fluctuations to the one sector growth model, i.e. the stochastic one sector growth model. An example stochastic growth model with a closed form solution, i.e. the stochastic Ak model. The role of uncertainty in growth. Relationship of this model to portfolio problems: homothetic utility and linear budget constraint and the Merton-Samuelson Theorem. Readings: Jones, part 4.


3. Fiscal policies in the growth model. (~4-6 lectures). Readings: Jones, part 2.


·         Adding government. Tax distortive competitive equilibrium. Ricardian equivalence. Welfare theorems revisited. Pareto optimality of lump sum taxes. Tax structures equivalent to lump sum taxes. Readings: LS, chapter 10, LS, chapter 11.

·         Solving for the TDCE. The non-arbitrage condition revisited. The transversality condition.

·         Steady state. Comparative statics of k and c wrt taxes in steady state. Equivalence between

various tax structures. Redundancy of consumption and investment taxes.

·         The Ramsey problem. Setting up the Ramsey problem. The primal vs. the duial approach.

The implementability condition. Rewriting the Ramsey problem as a one sector growth model. Steady state. The Chamley-Judd result:    0. Readings: LS, chapter 15.

·         Long run behavior of the optimal tax on labor. Robustness of the Chamley-Judd result - government BC clearing period by period. When does the Chamley-Judd result break down?

Readings: Chari-Kehoe Handbook Chapter, Jones, Manuelli, Rossi (JET, 1997), Lansing

(1999), Straub and Werning (AER), Chari, Nicolini and Teles (JME), Benhabib, Szoke (AEJ:


Part II

I.        Introduction

·         Dynamic Optimization in Continuous Time ([BS] Appendix A.3)

·         Stylized Facts on Economic Growth ([BS] Ch. 0 and [AH] Ch. 1)

II.     Neoclassical Growth Models

·         Basic Solow-Swan Model ([BS] Ch. 1)

·         Ramsey Model ([BS] Ch. 2)

·         Overlapping Generations Model ([BS] Ch. 3)

·         Finite-Life Model ([BS] Ch. 3)

·         The Open-Economy Ramsey Model ([BS] Ch. 3)

III.  Endogenous Growth Models

·         AK Growth Models (One-Sector Models of Endogenous Growth) ([BS] Ch. 4)

o   One-Sector Model With Physical and Human Capital

o   Model With Learning-By-Doing and Knowledge Spillovers

o   Public Services and Endogenous Growth

·         Two-Sector Models of Endogenous Growth ([BS] Ch. 5)

o   Extended One-Sector Model With Physical and Human Capital

o   Lucas Growth Model

·         Endogenous Technological Change

o   Model With Expanding Variety of Products ([BS] Ch. 6)

o   Schumpeterian Model of Quality Ladders ([BS] Ch. 7)

o   Diffusion of Technology ([BS] Ch. 8)

IV.   Fiscal and Monetary Policy in Growth Model

·                     Fiscal Policy in Neoclassical Growth Model ([LS] Ch. 11)

·                     Fiscal-Monetary Theories of Inflation ([LS] Ch. 24)

V.     Empirical Evidence on the Neoclassical Growth Model

·         Growth Accounting ([BS] Ch. 10)

·         Convergence and Growth Regressions ([BS] Ch. 11 and Ch. 12)

Last update: Papariga Anna, Mgr. (24.01.2022)
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