🌱 Week 7 Homework — Feedback

Student: Klea Lushaj
Assignment: Solow Model with Technological & Population Growth

✅ Overall Assessment

Result: ✅ More than 50% Correct

Excellent submission. The helper function is clean, all required scenarios are simulated once and stored, and both transition plots include steady-state benchmarks. Appreciated the additional diagnostics (output levels, technology paths, half-life calculations) and the well-structured console summary.

🔍 Task-by-Task Checklist

#	Requirement	Status	Notes
1	Separate `simulate_growth_tech.m` helper with correct signature	✅	Provided with four outputs.
2	Helper preallocates arrays and final values	✅	Column vectors returned, final period set.
3	Law of motion divides by `(1+n)(1+g)`	✅	Implemented in loop.
4	Technology path updates with `(1+g)`	✅	Included before law of motion update.
5	Main script sets required parameters (`α, δ, s, T=80, k0, A0`)	✅	Matches instructions exactly.
6	Scenario matrix includes `(0,0)`, `(0.01,0.02)`, `(0.02,0.03)`	✅	Stored in `scenarios`.
7	Reuses simulation outputs for later steps	✅	Saves paths into `k_all`, `y_all`, etc.
8	Plot `k_t` for the three scenarios	✅	Left subplot shows trajectories.
9	Add steady-state reference lines on `k_t` plot	✅	Uses coloured dashed `yline`.
10	Plot `y_t/A_t` for the three scenarios	✅	Right subplot handles `y/A`.
11	Add steady-state reference lines on `y_t/A_t` plot	✅	Dashed lines for `(y/A)*`.
12	Save figures to `Figures/` (PNG/PDF)	✅	Saved as `fig1_week7.png`, `fig2_week7.png`.
13	Provide steady-state summary (table or print)	✅	Printed `k`, `(y/A)`, effective depreciation.
14	Interpretation answers both homework questions	✅	Console discussion covers steady state & convergence speed.
15	Code hygiene (comments, no `cd`, folder guard)	✅	Clear sections, no absolute paths.

Score: 15/15 tasks fully correct → ✅

📈 Evidence & Highlights

```41:88:docs/week7/Homework submissions/week_7 Klea Lushaj/homework_week_7.m [k, y, c, A] = simulate_growth_tech(alpha, s, delta, n, g, k0, A0, T); k_all(:, i) = k; y_per_eff_worker(:, i) = y ./ A; … yline(k_steady(i), [colors{i}, ‘–’], ‘LineWidth’, 1.5, ‘HandleVisibility’, ‘off’);

```17:30:docs/week7/Homework submissions/week_7 Klea Lushaj/simulate_growth_tech.m
    for t = 1:T-1
        A(t+1) = (1 + g) * A(t);
        k(t+1) = (s * k(t)^alpha + (1 - delta) * k(t)) / ((1 + n) * (1 + g));
        y(t+1) = A(t+1) * k(t+1)^alpha;
        c(t+1) = (1 - s) * y(t+1);
    end

💡 Suggestions for Improvement

Only optional polish ideas:

Export the multi-panel figures as high-resolution PNG/PDF directly from the script (you already saved single images, but calling exportgraphics on the figure handles layout scaling).
Include the half-life results in the printed interpretation block so the written summary references the calculated numbers explicitly.

🧾 Summary

Great job—complete implementation plus thoughtful extensions. Figures, prints, and interpretation all align with the Week 7 brief.

Grade: ✅ (More than 50% correct)