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[two_computation] Embed Data in Lecture into Hidden code cell #811

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HumphreyYang merged 2 commits into from
Feb 19, 2026
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[two_computation] Embed Data in Lecture into Hidden code cell #811

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embed data into the lecture
HumphreyYang Feb 19, 2026
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HumphreyYang Feb 19, 2026
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34 changes: 31 additions & 3 deletions lectures/two_computation.md
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Original file line number Diff line number Diff line change
Expand Up @@ -557,7 +557,36 @@ UNIT_GRID = jnp.linspace(0.0, 1.0, N_GRID_SS)
AGE_INDICES = jnp.arange(T0 + 2)
```

We load the age-efficiency profile $\{\varepsilon_t\}$ and the survival probabilities $\{\alpha_t\}$ from data files based on {cite:t}`faber1982life` and {cite:t}`hansen1993cyclical`.
The hidden code cell below defines the age-efficiency profile $\{\varepsilon_t\}$ and the survival probabilities $\{\alpha_t\}$ based on {cite:t}`faber1982life` and {cite:t}`hansen1993cyclical`.

```{code-cell} ipython3
:tags: [hide-cell]

ε_arr = jnp.array([
0.59031284, 0.62902188, 0.66773093, 0.70643996, 0.745149,
0.78385804, 0.82256708, 0.86127611, 0.89998515, 0.92861368,
0.94716179, 0.9657099, 0.98425792, 1.002806, 1.0211928,
1.0399022, 1.0584503, 1.0769984, 1.0955465, 1.1056269,
1.1072398, 1.1088527, 1.1104656, 1.1120784, 1.1136913,
1.1153042, 1.116917, 1.1185299, 1.1201428, 1.1185299,
1.1136913, 1.1088527, 1.1040141, 1.0991755, 1.0943368,
1.0894981, 1.0846595, 1.0798209, 1.0749823, 1.0611115,
1.0382087, 1.0153058, 0.99240301, 0.96958081
])

α_arr = jnp.array([
1.0, 0.99851, 0.99844, 0.99838, 0.99832, 0.99826, 0.9982,
0.99816, 0.99815, 0.99819, 0.99826, 0.99834, 0.9984, 0.99843,
0.99841, 0.99835, 0.99828, 0.99818, 0.99807, 0.99794, 0.99778,
0.99759, 0.99737, 0.99712, 0.99684, 0.99653, 0.99619, 0.9958,
0.99535, 0.99481, 0.99419, 0.9935, 0.99278, 0.99209, 0.99148,
0.99088, 0.99021, 0.98942, 0.98851, 0.98746, 0.98625, 0.98495,
0.9835, 0.98178, 0.97974, 0.97743, 0.97489, 0.97226, 0.96965,
0.96715, 0.96466, 0.962, 0.95907, 0.9559, 0.95246, 0.94872,
0.9446, 0.94017, 0.93555, 0.93077, 0.9257, 0.9203, 0.91431,
0.90742, 0.89948
])
```

```{code-cell} ipython3
---
Expand All @@ -566,7 +595,6 @@ mystnb:
caption: Age-efficiency profile and survival probabilities
name: two_comp_profiles
---
ε_arr, α_arr = jnp.load("eff.npy"), jnp.load("psurv.npy")

fig, axs = plt.subplots(1, 2, figsize=(10, 6))

Expand Down Expand Up @@ -1239,7 +1267,7 @@ ss1 = ss_target_debt2gdp_exo(
ss0.debt2gdp, (τ_a_0, τ_0_0, 0, G_0), (RR_exo, w_exo), hh, tech
)

print(f"\nTerminal Steady State (s ≥ s₃):")
print(f"\nTerminal Steady State (s >= s3):")
print(f" Labor tax τ_l = {ss1.τ_l:.4f}")
print(f" Benefits θ = 0")
print(f" Capital/GDP = {ss1.k2gdp:.4f}")
Expand Down
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