Advanced Macroeconomics · Course 04

Lecture Notes

Dynamic macroeconomic theory and quantitative policy analysis — from the Euler equation to HANK.

Complete written notes for each session. Every set of notes opens with learning objectives and closes with a problem set, a computational lab and readings. Use Print / save as PDF on any lecture page for an offline copy.

Lec #Topic and objectivesLength
Part I · Neoclassical foundations
1The Dynamic Household: Intertemporal Choice and Euler Equations
Derive household optimality conditions in discrete time; distinguish budget feasibility from optimality; interpret the Euler equation, borrowing constraints, and transversality.
9 min read
2Firms, Capital Accumulation, and Investment
Derive factor demands, the capital Euler equation, and Tobin's \(q\); understand depreciation, adjustment costs, and investment dynamics.
8 min read
3Solow and Ramsey Growth: Steady States and Transitional Dynamics
Derive the Solow steady state, golden-rule capital, and Ramsey saddle path; distinguish exogenous saving from optimal saving.
9 min read
4Real Business Cycle Models and Competitive Equilibrium
Construct a real business cycle (RBC) model; derive equilibrium conditions; understand calibration, shock propagation, and impulse responses.
7 min read
Part II · Nominal rigidities and policy
5Nominal Rigidities, Calvo Pricing, and the New Keynesian Phillips Curve
Derive the firm's reset-price problem under Calvo pricing; interpret the New Keynesian Phillips curve and its slope.
8 min read
6The Three-Equation New Keynesian Model
Combine the dynamic IS relation, Phillips curve, and monetary-policy rule; analyze equilibrium responses to demand, supply, and policy shocks.
9 min read
7Monetary Policy: Rules, Commitment, and the Effective Lower Bound
Evaluate policy rules and optimal policy; distinguish commitment from discretion; analyze the effective lower bound and forward guidance.
9 min read
8Fiscal Policy, Public Debt, and Monetary-Fiscal Interactions
Derive debt dynamics; distinguish primary deficits from total deficits; analyze fiscal multipliers, sustainability, and Ricardian equivalence.
9 min read
9Open-Economy Macroeconomics and Exchange-Rate Dynamics
Interpret balance-of-payments accounts; derive uncovered interest parity; analyze exchange-rate regimes and external shocks.
9 min read
Part III · Solution and estimation
10DSGE Solution Methods: Linearization, Perturbation, and QZ
Compute deterministic steady states; linearize equilibrium conditions; understand rational-expectations solution and Blanchard–Kahn conditions.
8 min read
11DSGE Estimation: Likelihood, Bayesian Inference, and Model Evaluation
Connect a solved DSGE model to observables; construct a likelihood; estimate parameters; assess identification and posterior fit.
8 min read
Part IV · Heterogeneous agents
12Heterogeneous-Agent Macroeconomics and Incomplete Markets
Formulate household dynamic programming under idiosyncratic risk; derive policy functions and stationary distributions; define aggregate equilibrium.
9 min read
13HANK Models: Distribution Dynamics and Aggregate Transmission
Understand how household heterogeneity changes aggregate policy transmission; formulate continuous-time HJB and Kolmogorov forward equations; interpret sequence-space methods.
9 min read
Part V · Quantitative policy analysis
14Quantitative Macro Policy Analysis, Validation, and Replication
Design a transparent quantitative macroeconomic application; distinguish calibration from estimation; evaluate mechanisms, welfare, and robustness.
8 min read