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200 lines
123 KiB
Text
200 lines
123 KiB
Text
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "65cbe2ec-de72-44d4-8af9-a969b06134a9",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from matplotlib import rcParams\n",
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"rcParams.update({'font.size': 16})\n",
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"# TUDelft colors palette\n",
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"colors = [\"#0C2340\",\"#00B8C8\",\"#0076C2\",\"#6F1D77\",\"#EF60A3\",\"#A50034\",\"#E03C31\",\"#EC6842\",\"#FFB81C\",\"#6CC24A\",\"#009B77\"]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 38,
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"id": "fc2eb45c-9f4e-4fbd-91c3-dc0ff10b4c46",
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 800x600 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# -----------------------------------------------------------------\n",
|
|
"plot_title = \"\"\n",
|
|
"font = \"Arial\"\n",
|
|
"x_label = \"Year\"\n",
|
|
"y_label = \"Normalized Present Value [$-$]\"\n",
|
|
"legend = True\n",
|
|
"grid = True\n",
|
|
"save_svg = True\n",
|
|
"remove_ticks = False\n",
|
|
"remove_ticks_labels = False\n",
|
|
"file_name = \"../book/figures/present_value\"\n",
|
|
"# -----------------------------------------------------------------\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(8,6))\n",
|
|
"ax = fig.add_subplot() # axes_class=AxesZero)\n",
|
|
"ax.set_title(plot_title, fontfamily=font)\n",
|
|
"ax.set_xlabel(x_label, fontfamily=font)\n",
|
|
"ax.set_ylabel(y_label, fontfamily=font)\n",
|
|
"\n",
|
|
"plt.setp(ax.spines.values(), linewidth=2)\n",
|
|
"# ax.spines[\"left\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"bottom\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"top\"].set_position((\"data\", 1))\n",
|
|
"# ax.spines[\"right\"].set_position((\"data\", 100))\n",
|
|
"\n",
|
|
"# not a permanent solution (removed the part below 0)\n",
|
|
"# ---> find a better way to auto set upper bound\n",
|
|
"# ax.spines.bottom.set_bounds(0, 100)\n",
|
|
"# ax.spines.left.set_bounds(0, 1.0)\n",
|
|
"# ax.spines.top.set_bounds(0, 100)\n",
|
|
"# ax.spines.right.set_bounds(0, 1.0)\n",
|
|
"\n",
|
|
"t = np.linspace(0,101)\n",
|
|
"y_2 = 1 / (1 + 0.02)**t\n",
|
|
"y_4 = 1 / (1 + 0.04)**t\n",
|
|
"\n",
|
|
"# plotting\n",
|
|
"ax.plot(t, y_2, label='2%', color=colors[0], linewidth=4)\n",
|
|
"ax.plot(t, y_4, label='4%', color=colors[1], linewidth=4)\n",
|
|
"# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n",
|
|
"# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n",
|
|
"ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n",
|
|
"\n",
|
|
"if grid: ax.grid()\n",
|
|
"if legend: ax.legend(prop={\"family\":font})\n",
|
|
"if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n",
|
|
"if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n",
|
|
"if save_svg: plt.savefig(file_name + '.svg')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"id": "a19d456c-b5d3-43d6-8b51-1441f902985d",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 800x600 with 1 Axes>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
|
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"# -----------------------------------------------------------------\n",
|
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"plot_title = \"\"\n",
|
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"font = \"Arial\"\n",
|
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"x_label = \"Safety, $-\\ln p_f$ [$-$]\"\n",
|
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"y_label = \"Present Value [€]\"\n",
|
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"legend = True\n",
|
|
"grid = False\n",
|
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"save_svg = True\n",
|
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"remove_ticks = True\n",
|
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"remove_ticks_labels = True\n",
|
|
"file_name = \"../book/figures/economic_opt\"\n",
|
|
"# -----------------------------------------------------------------\n",
|
|
"\n",
|
|
"fig = plt.figure(figsize=(8,6))\n",
|
|
"ax = fig.add_subplot() # axes_class=AxesZero)\n",
|
|
"ax.set_title(plot_title, fontfamily=font)\n",
|
|
"ax.set_xlabel(x_label, fontfamily=font)\n",
|
|
"ax.set_ylabel(y_label, fontfamily=font)\n",
|
|
"\n",
|
|
"plt.setp(ax.spines.values(), linewidth=2)\n",
|
|
"# ax.spines[\"left\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"bottom\"].set_position((\"data\", 0))\n",
|
|
"# ax.spines[\"top\"].set_position((\"data\", 1))\n",
|
|
"# ax.spines[\"right\"].set_position((\"data\", 100))\n",
|
|
"\n",
|
|
"# not a permanent solution (removed the part below 0)\n",
|
|
"# ---> find a better way to auto set upper bound\n",
|
|
"# ax.spines.bottom.set_bounds(0, 100)\n",
|
|
"# ax.spines.left.set_bounds(0, 1.0)\n",
|
|
"# ax.spines.top.set_bounds(0, 100)\n",
|
|
"# ax.spines.right.set_bounds(0, 1.0)\n",
|
|
"\n",
|
|
"t = np.linspace(0,101)\n",
|
|
"risk = 1 / (1 + 0.08)**t\n",
|
|
"inv = 0 + 0.005*t\n",
|
|
"tot = risk + inv\n",
|
|
"scale = 0.9\n",
|
|
"\n",
|
|
"# plotting\n",
|
|
"ax.plot(t, scale*risk, '--', label='Risk', color=colors[2], linewidth=4)\n",
|
|
"ax.plot(t, 1.05*inv, '-.', label='Investment', color=colors[1], linewidth=4)\n",
|
|
"ax.plot(t, tot+.05, label='Total', color=colors[0], linewidth=4)\n",
|
|
"# ax.plot(1, 0, \">k\", transform=ax.get_yaxis_transform(), clip_on=False)\n",
|
|
"# ax.plot(0, 1, \"^k\", transform=ax.get_xaxis_transform(), clip_on=False)\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"ax.tick_params(axis='x', labelsize=13, width=2, length=8)\n",
|
|
"ax.tick_params(axis='y', labelsize=13, width=2, length=8)\n",
|
|
"\n",
|
|
"if grid: ax.grid()\n",
|
|
"if legend: ax.legend(prop={\"family\":font})\n",
|
|
"if remove_ticks: ax.set_xticks([]); ax.set_yticks([])\n",
|
|
"if remove_ticks_labels: ax.set_xticklabels([]); ax.set_yticklabels([])\n",
|
|
"if save_svg: plt.savefig(file_name + '.svg')"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.11.7"
|
|
},
|
|
"widgets": {
|
|
"application/vnd.jupyter.widget-state+json": {
|
|
"state": {},
|
|
"version_major": 2,
|
|
"version_minor": 0
|
|
}
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|