**University of Chicago/Penn/UCLA/Bonn/Rochester Mini-Course "Heterogeneous Agent Models in Continuous Time"**

**Lecture 1**

**Lecture 2**

**Website with codes for numerical solution: models without aggregate shocks**

**Website with codes for numerical solution: models with aggregate shocks**

**Overview for General Audience:**

**Inequality and Macroeconomics**

(part of University of Luxembourg/European Investment Bank "Inequality and ...?" Lecture Series)

**Princeton Advanced Macroeconomics I "Income and Wealth Distribution in Macroeconomics," Economics 521 (2016, 2nd Year PhD)**

**Syllabus**

**Lecture 1: Overview, Hamiltonians and Phase Diagrams**

**Lecture 2: New Keynesian Model in Continuous Time**

**Lecture 3: Hamilton-Jacobi-Bellman Equations**

**Supplement to Lecture 3: Viscosity Solutions for Dummies (including Economists)**

**Lecture 4: Diffusion Processes, Stochastic HJB Equations and Kolmogorov Forward Equations**

**Lecture 5: Key Facts on Income and Wealth Distribution**

**Lectures 6 and 7: Theories of Top Inequality, Distributional Dynamics and Differential Operators**

**Lectures 8: The Workhorse Model of Income and Wealth Distribution in Macroeconomics**

**Lecture 9: Efficient Computation of Heterogeneous Agent Models with Aggregate Shocks**

**Lecture 10: Macroeconomics and Household Heterogeneity (Dirk Krueger guest lecture)**

**Lecture 11: HANK -- Heterogeneous Agent New Keynesian Models**

**Lecture 12: Estimation of Heterogeneous Agent Models**

**Princeton University, Macroeconomic Theory I, Economics 503 (2014, 1st Year PhD)**

**Syllabus**

**Lecture 1: Preliminaries**

**Lecture 2: Growth Model, Dynamic Optimization in Discrete Time**

**Lecture 3: Growth Model, Dynamic Optimization in Continuous Time (Hamiltonians)**

**Lecture 4: Analysis of Optimal Trajectories, Transition Dynamics in Growth Model**

**Lecture 5: Competitive Equilibrium in the Growth Model**

**Lecture 6: Competitive Equilibrium in the Growth Model (II)**

**Lecture 7: The Growth Model and the Data**

**Lecture 8: Policy Analysis in the Growth Model (Capital Taxation)**

**Lecture 9: Adding Growth to the Growth Model**

**Lecture 10: Endogenous Growth**

**Lectures 11 and 12: Income and Wealth Distribution in the Growth Model**

**Lecture 13: Review Session, New Keynesian Model**

Part of these lecture notes are based on notes by Fernando Alvarez, Bob Lucas and Richard Rogerson. Thanks to them for having taught me and/or sharing their notes.

**Princeton University, Advanced Macroeconomics I, Economics 521 (2012, 2nd Year PhD)**

**Syllabus**

**Lecture 1: Overview, Hamiltonians and Phase Diagrams**

**Lecture 2: New Keynesian Model in Continuous Time**

**Lecture 3: Werning (2012) "Managing a Liquidity Trap"**

**Lecture 4: Hamilton-Jacobi-Bellman Equations, Stochastic Differential Equations**

**Lecture 5: Stochastic HJB Equations, Kolmogorov Forward Equations**

**Lecture 6: Income and Wealth Distribution**

**Supplement:**

**Why Piketty Says r-g Matters for Inequality**

**Lecture 7: Stopping Time Problems, Firm Size Distribution**

**Lecture 8: Gabaix (2011) "Granular Origins", More on Heterogeneous Firms**

**Lecture 9: Lucas and Moll (2012), "Knowledge Growth and the Allocation of Time", More on Endogenous Growth**

**Lecture 10: Alvarez and Shimer (2011), "Search and Rest Unemployment"**

Part of these lecture notes are based on notes and/or presentation slides from Fernando Alvarez, Jess Benhabib, Xavier Gabaix, Esteban Rossi-Hansberg, and Ivan Werning. Thanks to these people.