🌱 Week 7 Homework β€” Feedback

Student: Michele Nascia
Assignment: Solow Model with Technological & Population Growth


βœ… Overall Assessment

Result: βœ… More than 50% Correct

Good submission with correct helper function and proper parameter calibration. The code runs cleanly and produces clear subplot figures saved to the correct directory. The main gaps are: (1) missing steady-state reference lines on both plots, (2) no printed steady-state summary, and (3) interpretation is present but could be more explicit about convergence speed. The economic discussion addresses steady-state effects but doesn’t clearly answer the convergence speed question.


πŸ” Task-by-Task Checklist

# Requirement Status Notes
1 Separate simulate_growth_tech.m helper with correct signature βœ… Provided with four outputs.
2 Helper preallocates arrays and final values βœ… Column vectors, final period handled.
3 Law of motion divides by (1+n)(1+g) βœ… Correct implementation.
4 Technology path updates with (1+g) βœ… Included in loop.
5 Main script sets required parameters (Ξ±, Ξ΄, s, T=80, k0, A0) βœ… Matches homework specification.
6 Scenario matrix includes (0,0), (0.01,0.02), (0.02,0.03) βœ… Stored in n_and_g.
7 Reuses simulation outputs for later steps ⚠️ Re-runs function for plotting.
8 Plot k_t for the three scenarios βœ… Top subplot shows all paths.
9 Add steady-state reference lines on k_t plot ❌ Missing yline overlays.
10 Plot y_t/A_t for the three scenarios βœ… Bottom subplot implemented.
11 Add steady-state reference lines on y_t/A_t plot ❌ Missing yline overlays.
12 Save figures to Figures/ (PNG/PDF) βœ… Saved to Figures_week7/ as PNG and .fig.
13 Provide steady-state summary (table or print) ❌ No numerical output of k*/(y/A)*.
14 Interpretation answers both homework questions ⚠️ Addresses steady-state effects but convergence speed discussion is incomplete.
15 Code hygiene (comments, no cd, folder guard) βœ… Clean structure, mkdir guard included.

Score: 9/15 tasks fully correct, 1/15 partial, 5/15 missing β†’ βœ…


πŸ“ˆ Evidence & Highlights

23:32:docs/week7/Homework submissions/week7_nascia Nascia Michele/week7_homework_nascia.m subplot(2,1,1) plot(1:T, k, 'LineWidth', 1.5); hold on ... subplot(2,1,2) plot(1:T, y./A, 'LineWidth', 1.5); hold on


πŸ’‘ Suggestions for Improvement

  1. Add steady-state reference lines: Include yline overlays on both subplots showing k* and (y/A)* for each scenario. This will make the convergence paths visually comparable to the target levels.
  2. Print steady-state summary: Add a fprintf block that reports k* and (y/A)* for each scenario. This will provide quantitative backing for your interpretation.
  3. Clarify convergence speed discussion: Your comment mentions that convergence β€œbecomes slower” when g > 0, but the theory suggests that higher n and g actually increase convergence speed (due to higher effective depreciation). Please review this point and clarify your interpretation.

🧾 Summary

Solid implementation with correct economics. Adding steady-state overlays, a quantitative summary, and clarifying the convergence speed discussion will complete the submission.

Grade: βœ… (More than 50% correct)