🌍 Week 11 Homework β€” Feedback

Student: Giovanni Di Miele Assignment: VAR Estimation and Identification


βœ… Overall Assessment

Result: βœ… Pass

Good submission with correct VAR structure. The code estimates a 3-variable VAR and implements the Cholesky identification correctly. Note: You differenced the Federal Funds Rate (diff(Tbl.FEDFUNDS)), which effectively models the change in the interest rate rather than the level. While this is valid econometrically for non-stationary series, standard VAR analysis often uses the rate in levels (or treats the shock to the difference as a shock to the change). This doesn’t invalidate the exercise but changes the interpretation slightly.


πŸ” Task-by-Task Check

Task Description Status Notes
1.1 Data Loading & Cleanup βœ… Correctly loads data
1.2 Data Transformation ⚠️ Calculates annualized growth/inflation correctly, but uses diff for FFR (usually kept in levels)
1.3 Construct Data Matrices βœ… Correct setup of matrices
1.4 OLS Estimation βœ… Correct OLS estimation
1.5 Extract A1 Matrix βœ… Correct extraction of coefficients
1.6 Residuals & Sigma βœ… Correct covariance calculation
1.7 Identification (Cholesky) βœ… Correct Cholesky decomposition
1.8 Compute IRFs βœ… Correct loop for IRF generation
1.9 Plot IRFs βœ… Generates correct plots
1.10 Save Figures βœ… Saves figures correctly

πŸ“ˆ Technical Implementation

  • VAR Structure: Correctly implements the 3-variable system despite the transformation difference.
  • Identification: Correctly selects the 3rd shock as the monetary policy shock.

πŸ’¬ Style & Clarity

  • Comments: Good comments explaining the steps.
  • Interpretation: Includes a detailed interpretation of the results and the Price Puzzle.

πŸ“Š Visual Output Assessment

  • Plots: Clear subplots for the IRFs.
  • Labels: Correctly labeled.

βœ… Suggestions for Improvement

  1. Variable Choice: Typically, for monetary policy VARs, we use the interest rate in levels (or assume it’s stationary enough). Using differences means a β€œshock” is a permanent increase in the rate’s growth path (or a one-time change in the level), which implies different dynamics.

🎯 Summary

Good work. The technical implementation is correct, and the interpretation shows good economic intuition.

Grade Level: βœ… Pass (9/10 tasks correct - minor issue with FFR transformation)