EC813B Macroeconomics and its Mathematical Foundations (First-year PhD Course) Michigan State University (Spring 2026)
EC813B Macroeconomics and its Mathematical Foundations (First-year PhD Course) Michigan State University (Spring 2026)
Part 1a: Real Business Cycle Models
01/12/2026: Vanilla RBC Model and Solution Method
01/14/2026: Basic New Keynesian Model and Monetary Policy
01/21/2026: Perturbation and Introduction to Dynare
01/26/2026: Model of Costly State Verification (Bernanke and Gertler, 1989)
01/28/2026: Model of Financial Accelerator (Bernanke, Gertler, and Gilchrist, 1999)
02/02/2026: Model of Financial Shocks (Jermann and Quadrini, 2012)
Part 1b: Endogenous Growth and Medium-Term Business Cycles
02/04/2026: Neoclassical Growth Model in Continuous Time
02/09/2026: Expanding Variety Models
02/11/2026: Romer Model: Growth with Knowledge Spillover
02/16/2026: Quality Ladder Models
02/18/2026: Models of Medium-Term Business Cycles
02/23-02/25: Review Session and the First Midterm
Part 2a: Dynamic Programming
03/09/2026:
03/11/2026:
03/16/2026:
03/18/2026:
Part 2b: Search-Theoretic Models
03/23/2026:
03/25/2026:
03/30/2026:
Part 2c: Income Fluctuation Problems
04/01/2026:
04/06/2026:
04/08/2026:
04/13-04/15: Review Session and the Second Midterm
04/20-04/22: Open Economy Macroeconomics
Final Exam : Tuesday, 4/28/2026 from 12:45 PM - 2:45 PM in Berkey Hall 318
EC825B Numerical Methods (Second-year PhD Course) Michigan State University (Fall 2025)
EC813B Macroeconomics and its Mathematical Foundations (First-year PhD Course) Michigan State University (Spring 2025)
Dynamic Programming:
• Sequence versus Recursive Formulation
• Contraction Mapping Theorem and Principle of Optimality
• Guess and Verify, Functional Euler Equation, and Value Function Iteration
• Stochastic Dynamic Programming
• Recursive Competitive Equilibrium
• Matlab: Value Function Iteration and Model Simulation
2. Search-Theoretical Models: Rogerson, Shimer, and Wright (2005)
• McCall Random Search Model
• Diamond-Mortensen-Pissarides: Matching and Wage Bargaining
• Burdett-Mortensen: On-the-Job Search and Wage Posting
• Directed/Competitive Search
• Search in the OTC Market
3. Income Fluctuation Problem:
• Consumption-Savings Problems:
– Permanent Income Theory
– Consumption Smoothing and Precautionary Savings
• Neoclassical Investment Models:
– User Cost Model and Tobin’s Q
– Investment with Convex and Non-Convex Adjustment Costs
4. Real Business Cycles with Financial Frictions:
• Vanilla RBC Models: Dynare Implementation, Simulation, and Impulse Response Functions
• Working Capital Constraints: Jermann and Quadrini (2012)
5. Endogenous Growth Models:
• Continuous-Time Dynamic Programming
• Expanding Variety Models: Inputs and Products, and Social Planner’s Problem
• Quality Ladder Model
• Quality Ladder Model with Firm Dynamics: Klette and Kortum (2004)
6. Introduction to Heterogeneous Agent Models:
• Incomplete Market Model and Wealth Distribution:
– Huggett Model (1993) and Aiyagari Model (1999)
• Models of Firm Dynamics: Entry, Exit, and Firm Size Distribution
– Hopenhayn (1990) and Hopenhayn and Rogerson (1993)