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Created August 27, 2023 16:28
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Hierarchical-Risk-Parity.ipynb
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"metadata": {
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"provenance": [],
"authorship_tag": "ABX9TyMeAnUWPHZ/eTlhGnOnnSDG",
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"kernelspec": {
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"cells": [
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"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
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"source": [
"<a href=\"https://colab.research.google.com/gist/CY0xZ/de83a5de6cc8cc6c6d8853f65d920270/hierarchical-risk-parity.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "dEbkoQ1G9_tR"
},
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from scipy.cluster.hierarchy import dendrogram, linkage\n",
"from matplotlib import pyplot as plt"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "2Z9-r4c8_iy0"
},
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from functools import reduce\n",
"import pandas_datareader.data as web\n",
"import datetime\n",
"import random\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib as mpl\n",
"import seaborn as sns\n",
"from datetime import datetime"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "YDdoi3EeUwZv"
},
"source": [
"equity = ['ARKG','ARKK','SOXX','VIG','VGT','IHI','XBI','VHT','PTF','VBK','IWO','PRNT','IWP','IZRL']"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "1Pfmfo7J_y-r"
},
"source": [
"Fecha_Start = '01-01-2017'\n",
"Fecha_End = '20-01-2021'"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "28SsjCzG_kkZ"
},
"source": [
"mpl.style.use('ggplot')\n",
"figsize = (25, 25)\n",
"\n",
"start = datetime.strptime(Fecha_Start, '%d-%m-%Y')\n",
"end = datetime.strptime(Fecha_End, '%d-%m-%Y')\n",
"\n",
"tickers = equity\n",
"assets = pd.DataFrame([web.DataReader(ticker, 'yahoo', start,\n",
" end).loc[:, 'Close'] for ticker in tickers],\n",
" index=tickers).T.fillna(method='ffill')\n",
"\n",
"returns = assets.pct_change().dropna()\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 235
},
"id": "vqEuYEfuAG4F",
"outputId": "5a2ff092-d88c-4af8-d5ec-32e06b16a2bf"
},
"source": [
"assets.head()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>ARKG</th>\n",
" <th>ARKK</th>\n",
" <th>SOXX</th>\n",
" <th>VIG</th>\n",
" <th>VGT</th>\n",
" <th>IHI</th>\n",
" <th>XBI</th>\n",
" <th>VHT</th>\n",
" <th>PTF</th>\n",
" <th>VBK</th>\n",
" <th>IWO</th>\n",
" <th>PRNT</th>\n",
" <th>IWP</th>\n",
" <th>IZRL</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2017-01-03</th>\n",
" <td>NaN</td>\n",
" <td>20.437000</td>\n",
" <td>122.720001</td>\n",
" <td>85.470001</td>\n",
" <td>122.459999</td>\n",
" <td>133.600006</td>\n",
" <td>59.590000</td>\n",
" <td>128.339996</td>\n",
" <td>39.930000</td>\n",
" <td>133.860001</td>\n",
" <td>154.630005</td>\n",
" <td>21.549000</td>\n",
" <td>49.014999</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-01-04</th>\n",
" <td>NaN</td>\n",
" <td>21.360001</td>\n",
" <td>123.059998</td>\n",
" <td>85.849998</td>\n",
" <td>123.199997</td>\n",
" <td>134.389999</td>\n",
" <td>62.340000</td>\n",
" <td>129.589996</td>\n",
" <td>40.540001</td>\n",
" <td>136.149994</td>\n",
" <td>157.449997</td>\n",
" <td>22.129999</td>\n",
" <td>49.724998</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-01-05</th>\n",
" <td>NaN</td>\n",
" <td>21.150000</td>\n",
" <td>122.010002</td>\n",
" <td>85.720001</td>\n",
" <td>123.290001</td>\n",
" <td>134.529999</td>\n",
" <td>62.470001</td>\n",
" <td>130.149994</td>\n",
" <td>40.389999</td>\n",
" <td>135.500000</td>\n",
" <td>156.100006</td>\n",
" <td>22.058001</td>\n",
" <td>49.474998</td>\n",
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" <tr>\n",
" <th>2017-01-06</th>\n",
" <td>NaN</td>\n",
" <td>21.365000</td>\n",
" <td>122.980003</td>\n",
" <td>86.150002</td>\n",
" <td>124.419998</td>\n",
" <td>136.119995</td>\n",
" <td>63.349998</td>\n",
" <td>130.550003</td>\n",
" <td>40.400002</td>\n",
" <td>135.339996</td>\n",
" <td>155.589996</td>\n",
" <td>22.160000</td>\n",
" <td>49.665001</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-01-09</th>\n",
" <td>NaN</td>\n",
" <td>21.645000</td>\n",
" <td>124.279999</td>\n",
" <td>85.730003</td>\n",
" <td>124.639999</td>\n",
" <td>136.830002</td>\n",
" <td>65.360001</td>\n",
" <td>131.539993</td>\n",
" <td>40.639999</td>\n",
" <td>135.199997</td>\n",
" <td>155.500000</td>\n",
" <td>22.600000</td>\n",
" <td>49.580002</td>\n",
" <td>NaN</td>\n",
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"</table>\n",
"</div>"
],
"text/plain": [
" ARKG ARKK SOXX ... PRNT IWP IZRL\n",
"Date ... \n",
"2017-01-03 NaN 20.437000 122.720001 ... 21.549000 49.014999 NaN\n",
"2017-01-04 NaN 21.360001 123.059998 ... 22.129999 49.724998 NaN\n",
"2017-01-05 NaN 21.150000 122.010002 ... 22.058001 49.474998 NaN\n",
"2017-01-06 NaN 21.365000 122.980003 ... 22.160000 49.665001 NaN\n",
"2017-01-09 NaN 21.645000 124.279999 ... 22.600000 49.580002 NaN\n",
"\n",
"[5 rows x 14 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 40
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 235
},
"id": "n0g6URSwANXg",
"outputId": "6178c3f3-5f21-4a1d-f619-d2d080d69ece"
},
"source": [
"returns.head()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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"\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>ARKG</th>\n",
" <th>ARKK</th>\n",
" <th>SOXX</th>\n",
" <th>VIG</th>\n",
" <th>VGT</th>\n",
" <th>IHI</th>\n",
" <th>XBI</th>\n",
" <th>VHT</th>\n",
" <th>PTF</th>\n",
" <th>VBK</th>\n",
" <th>IWO</th>\n",
" <th>PRNT</th>\n",
" <th>IWP</th>\n",
" <th>IZRL</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2019-12-30</th>\n",
" <td>-0.029044</td>\n",
" <td>-0.027376</td>\n",
" <td>-0.007530</td>\n",
" <td>-0.004158</td>\n",
" <td>-0.005944</td>\n",
" <td>-0.006039</td>\n",
" <td>-0.015378</td>\n",
" <td>-0.007269</td>\n",
" <td>-0.012184</td>\n",
" <td>-0.004372</td>\n",
" <td>-0.004562</td>\n",
" <td>-0.003739</td>\n",
" <td>-0.006268</td>\n",
" <td>-0.011397</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-12-31</th>\n",
" <td>0.002692</td>\n",
" <td>0.006232</td>\n",
" <td>0.002715</td>\n",
" <td>0.000883</td>\n",
" <td>0.002744</td>\n",
" <td>0.003645</td>\n",
" <td>0.003694</td>\n",
" <td>0.002824</td>\n",
" <td>0.003246</td>\n",
" <td>0.002877</td>\n",
" <td>0.001730</td>\n",
" <td>0.003083</td>\n",
" <td>0.002497</td>\n",
" <td>0.000452</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2020-01-02</th>\n",
" <td>-0.005072</td>\n",
" <td>0.008991</td>\n",
" <td>0.020669</td>\n",
" <td>0.005455</td>\n",
" <td>0.018338</td>\n",
" <td>0.004918</td>\n",
" <td>-0.004521</td>\n",
" <td>0.001721</td>\n",
" <td>0.018636</td>\n",
" <td>0.005184</td>\n",
" <td>0.001634</td>\n",
" <td>0.003563</td>\n",
" <td>0.010290</td>\n",
" <td>0.018753</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2020-01-03</th>\n",
" <td>-0.020090</td>\n",
" <td>-0.007327</td>\n",
" <td>-0.018651</td>\n",
" <td>-0.004308</td>\n",
" <td>-0.010508</td>\n",
" <td>-0.007191</td>\n",
" <td>-0.013942</td>\n",
" <td>-0.008747</td>\n",
" <td>-0.004955</td>\n",
" <td>-0.003254</td>\n",
" <td>-0.004987</td>\n",
" <td>-0.005992</td>\n",
" <td>-0.003957</td>\n",
" <td>-0.003548</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2020-01-06</th>\n",
" <td>0.012118</td>\n",
" <td>0.007780</td>\n",
" <td>-0.010417</td>\n",
" <td>0.000641</td>\n",
" <td>0.003324</td>\n",
" <td>0.008381</td>\n",
" <td>0.008676</td>\n",
" <td>0.006618</td>\n",
" <td>-0.002043</td>\n",
" <td>0.005174</td>\n",
" <td>0.003560</td>\n",
" <td>-0.003572</td>\n",
" <td>0.003908</td>\n",
" <td>-0.003561</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ARKG ARKK SOXX ... PRNT IWP IZRL\n",
"Date ... \n",
"2019-12-30 -0.029044 -0.027376 -0.007530 ... -0.003739 -0.006268 -0.011397\n",
"2019-12-31 0.002692 0.006232 0.002715 ... 0.003083 0.002497 0.000452\n",
"2020-01-02 -0.005072 0.008991 0.020669 ... 0.003563 0.010290 0.018753\n",
"2020-01-03 -0.020090 -0.007327 -0.018651 ... -0.005992 -0.003957 -0.003548\n",
"2020-01-06 0.012118 0.007780 -0.010417 ... -0.003572 0.003908 -0.003561\n",
"\n",
"[5 rows x 14 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 41
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "U1Cy-d4NAlk8",
"outputId": "01ab5209-9196-4d13-8e9f-bd22e9041811"
},
"source": [
"returns.columns"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Index(['ARKG', 'ARKK', 'SOXX', 'VIG', 'VGT', 'IHI', 'XBI', 'VHT', 'PTF', 'VBK',\n",
" 'IWO', 'PRNT', 'IWP', 'IZRL'],\n",
" dtype='object')"
]
},
"metadata": {
"tags": []
},
"execution_count": 42
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "YR6mrVw2c-Se"
},
"source": [
"# correlation matrix\n",
"corr = returns.corr()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "YFfyWH_XmNzG"
},
"source": [
"# distance matrix\n",
"d_corr = np.sqrt(0.5*(1-corr))"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 631
},
"id": "0KU_PTDKmQ8r",
"outputId": "cd7f5039-fcf5-4e64-b600-664aeed65412"
},
"source": [
"link = linkage(d_corr, 'single')\n",
"Z = pd.DataFrame(link)\n",
"\n",
"fig = plt.figure(figsize=(25, 10))\n",
"dn = dendrogram(Z)\n",
"# plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:1: ClusterWarning: scipy.cluster: The symmetric non-negative hollow observation matrix looks suspiciously like an uncondensed distance matrix\n",
" \"\"\"Entry point for launching an IPython kernel.\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1800x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 452
},
"id": "w4g9A4TEmV-E",
"outputId": "fc478563-f9f4-451d-c1b8-afa888689a80"
},
"source": [
"Z"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>0</th>\n",
" <th>1</th>\n",
" <th>2</th>\n",
" <th>3</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>9.0</td>\n",
" <td>10.0</td>\n",
" <td>0.178389</td>\n",
" <td>2.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>12.0</td>\n",
" <td>14.0</td>\n",
" <td>0.218864</td>\n",
" <td>3.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>5.0</td>\n",
" <td>7.0</td>\n",
" <td>0.235338</td>\n",
" <td>2.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>3.0</td>\n",
" <td>16.0</td>\n",
" <td>0.276896</td>\n",
" <td>3.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>4.0</td>\n",
" <td>15.0</td>\n",
" <td>0.291518</td>\n",
" <td>4.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>2.0</td>\n",
" <td>18.0</td>\n",
" <td>0.295205</td>\n",
" <td>5.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>17.0</td>\n",
" <td>19.0</td>\n",
" <td>0.376360</td>\n",
" <td>8.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>1.0</td>\n",
" <td>8.0</td>\n",
" <td>0.377600</td>\n",
" <td>2.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.0</td>\n",
" <td>21.0</td>\n",
" <td>0.399632</td>\n",
" <td>3.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>6.0</td>\n",
" <td>22.0</td>\n",
" <td>0.400074</td>\n",
" <td>4.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>20.0</td>\n",
" <td>23.0</td>\n",
" <td>0.418445</td>\n",
" <td>12.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>13.0</td>\n",
" <td>24.0</td>\n",
" <td>0.426710</td>\n",
" <td>13.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>11.0</td>\n",
" <td>25.0</td>\n",
" <td>0.454831</td>\n",
" <td>14.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 0 1 2 3\n",
"0 9.0 10.0 0.178389 2.0\n",
"1 12.0 14.0 0.218864 3.0\n",
"2 5.0 7.0 0.235338 2.0\n",
"3 3.0 16.0 0.276896 3.0\n",
"4 4.0 15.0 0.291518 4.0\n",
"5 2.0 18.0 0.295205 5.0\n",
"6 17.0 19.0 0.376360 8.0\n",
"7 1.0 8.0 0.377600 2.0\n",
"8 0.0 21.0 0.399632 3.0\n",
"9 6.0 22.0 0.400074 4.0\n",
"10 20.0 23.0 0.418445 12.0\n",
"11 13.0 24.0 0.426710 13.0\n",
"12 11.0 25.0 0.454831 14.0"
]
},
"metadata": {
"tags": []
},
"execution_count": 46
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "YD2rWAoSmcdK"
},
"source": [
"def get_quasi_diag(link):\n",
"\n",
" # sort clustered items by distance\n",
"\n",
" link = link.astype(int)\n",
"\n",
" # get the first and the second item of the last tuple\n",
" sort_ix = pd.Series([link[-1,0], link[-1,1]])\n",
"\n",
" # the total num of items is the third item of the last list\n",
" num_items = link[-1, 3]\n",
"\n",
" # if the max of sort_ix is bigger than or equal to the max_items\n",
" while sort_ix.max() >= num_items:\n",
" # assign sort_ix index with 24 x 24\n",
" sort_ix.index = range(0, sort_ix.shape[0]*2, 2) # odd numers as index\n",
"\n",
" df0 = sort_ix[sort_ix >= num_items] # find clusters\n",
"\n",
" # df0 contain even index and cluster index\n",
" i = df0.index\n",
" j = df0.values - num_items #\n",
"\n",
" sort_ix[i] = link[j,0] # item 1\n",
"\n",
" df0 = pd.Series(link[j, 1], index=i+1)\n",
"\n",
" sort_ix = sort_ix.append(df0)\n",
" sort_ix = sort_ix.sort_index()\n",
"\n",
" sort_ix.index = range(sort_ix.shape[0])\n",
"\n",
"\n",
" return sort_ix.tolist()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "CU4vn5gsmgeb",
"outputId": "8c37ba73-8410-4c10-a5a7-16b2db3705ad"
},
"source": [
"sort_ix = get_quasi_diag(link)\n",
"sort_ix"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[11, 13, 3, 5, 7, 2, 4, 12, 9, 10, 6, 0, 1, 8]"
]
},
"metadata": {
"tags": []
},
"execution_count": 48
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5hB9-c9Jmi7r"
},
"source": [
"def get_cluster_var(cov, c_items):\n",
" cov_ = cov.iloc[c_items, c_items] # matrix slice\n",
" # calculate the inversev-variance portfolio\n",
" ivp = 1./np.diag(cov_)\n",
" ivp/=ivp.sum()\n",
" w_ = ivp.reshape(-1,1)\n",
" c_var = np.dot(np.dot(w_.T, cov_), w_)[0,0]\n",
" return c_var\n",
"def get_rec_bipart(cov, sort_ix):\n",
" # compute HRP allocation\n",
" # intialize weights of 1\n",
" w = pd.Series(1, index=sort_ix)\n",
"\n",
" # intialize all items in one cluster\n",
" c_items = [sort_ix]\n",
" while len(c_items) > 0:\n",
" # bisection\n",
" \"\"\"\n",
" [[3, 6, 0, 9, 2, 4, 13], [5, 12, 8, 10, 7, 1, 11]]\n",
" [[3, 6, 0], [9, 2, 4, 13], [5, 12, 8], [10, 7, 1, 11]]\n",
" [[3], [6, 0], [9, 2], [4, 13], [5], [12, 8], [10, 7], [1, 11]]\n",
" [[6], [0], [9], [2], [4], [13], [12], [8], [10], [7], [1], [11]]\n",
" \"\"\"\n",
" c_items = [i[int(j):int(k)] for i in c_items for j,k in\n",
" ((0,len(i)/2),(len(i)/2,len(i))) if len(i)>1]\n",
"\n",
" # now it has 2\n",
" for i in range(0, len(c_items), 2):\n",
"\n",
" c_items0 = c_items[i] # cluster 1\n",
" c_items1 = c_items[i+1] # cluter 2\n",
"\n",
" c_var0 = get_cluster_var(cov, c_items0)\n",
" c_var1 = get_cluster_var(cov, c_items1)\n",
"\n",
" alpha = 1 - c_var0/(c_var0+c_var1)\n",
"\n",
" w[c_items0] *= alpha\n",
" w[c_items1] *=1-alpha\n",
" return w"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "mnnF44Og0vHg"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "SAO7tmYhmmLs"
},
"source": [
"cov = returns.cov()\n",
"weights = get_rec_bipart(cov, sort_ix)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "elonPTNUmobS"
},
"source": [
"new_index = [returns.columns[i] for i in weights.index]\n",
"weights.index = new_index"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "oKA6CyQwmqhc",
"outputId": "9c66782c-2fbe-474d-969c-509da4136db6"
},
"source": [
"weights"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"PRNT 0.108654\n",
"IZRL 0.078615\n",
"VIG 0.108754\n",
"IHI 0.083879\n",
"VHT 0.094280\n",
"SOXX 0.044130\n",
"VGT 0.059367\n",
"IWP 0.130440\n",
"VBK 0.060532\n",
"IWO 0.055487\n",
"XBI 0.056130\n",
"ARKG 0.034877\n",
"ARKK 0.037612\n",
"PTF 0.047244\n",
"dtype: float64"
]
},
"metadata": {
"tags": []
},
"execution_count": 52
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "f4lgAqzImsga",
"outputId": "922d8fe6-762d-4678-f43b-400901fa9a92"
},
"source": [
"from pandas_datareader import data as web\n",
"import pandas as pd\n",
"import numpy as np\n",
"\n",
"df = assets\n",
"d_returns = returns\n",
"\n",
"cov_matrix_d = d_returns.cov()\n",
"cov_matrix_a = cov_matrix_d * 250\n",
"\n",
"weights = np.array(weights)\n",
"\n",
"# calculate the variance and risk of the portfolo\n",
"port_variance = np.dot(weights.T, np.dot(cov_matrix_a, weights))\n",
"port_volatility = np.sqrt(np.dot(weights.T, np.dot(cov_matrix_a, weights)))\n",
"\n",
"percent_var = str(round(port_variance, 4) * 100) + '%'\n",
"percent_vols = str(round(port_volatility, 4) * 100) + '%'\n",
"\n",
"print('Variance of Portfolio is {}, Portfolio Risk is {}'\n",
" .format(percent_var, percent_vols))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Variance of Portfolio is 14.16%, Portfolio Risk is 37.64%\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "y3CbMM7m3XOh"
},
"source": [
"import pandas as pd"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "yI2yARMe3XoK"
},
"source": [
"data = pd.read_html('https://en.wikipedia.org/wiki/List_of_S%26P_500_companies')"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 285
},
"id": "anPXvJP33aVn",
"outputId": "4900ce9b-ee85-479e-8ff2-d42eb9bc61cf"
},
"source": [
"table = data[0]\n",
"table.head()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Symbol</th>\n",
" <th>Security</th>\n",
" <th>SEC filings</th>\n",
" <th>GICS Sector</th>\n",
" <th>GICS Sub-Industry</th>\n",
" <th>Headquarters Location</th>\n",
" <th>Date first added</th>\n",
" <th>CIK</th>\n",
" <th>Founded</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>MMM</td>\n",
" <td>3M Company</td>\n",
" <td>reports</td>\n",
" <td>Industrials</td>\n",
" <td>Industrial Conglomerates</td>\n",
" <td>St. Paul, Minnesota</td>\n",
" <td>1976-08-09</td>\n",
" <td>66740</td>\n",
" <td>1902</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>ABT</td>\n",
" <td>Abbott Laboratories</td>\n",
" <td>reports</td>\n",
" <td>Health Care</td>\n",
" <td>Health Care Equipment</td>\n",
" <td>North Chicago, Illinois</td>\n",
" <td>1964-03-31</td>\n",
" <td>1800</td>\n",
" <td>1888</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>ABBV</td>\n",
" <td>AbbVie Inc.</td>\n",
" <td>reports</td>\n",
" <td>Health Care</td>\n",
" <td>Pharmaceuticals</td>\n",
" <td>North Chicago, Illinois</td>\n",
" <td>2012-12-31</td>\n",
" <td>1551152</td>\n",
" <td>2013 (1888)</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>ABMD</td>\n",
" <td>ABIOMED Inc</td>\n",
" <td>reports</td>\n",
" <td>Health Care</td>\n",
" <td>Health Care Equipment</td>\n",
" <td>Danvers, Massachusetts</td>\n",
" <td>2018-05-31</td>\n",
" <td>815094</td>\n",
" <td>1981</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>ACN</td>\n",
" <td>Accenture plc</td>\n",
" <td>reports</td>\n",
" <td>Information Technology</td>\n",
" <td>IT Consulting &amp; Other Services</td>\n",
" <td>Dublin, Ireland</td>\n",
" <td>2011-07-06</td>\n",
" <td>1467373</td>\n",
" <td>1989</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Symbol Security ... CIK Founded\n",
"0 MMM 3M Company ... 66740 1902\n",
"1 ABT Abbott Laboratories ... 1800 1888\n",
"2 ABBV AbbVie Inc. ... 1551152 2013 (1888)\n",
"3 ABMD ABIOMED Inc ... 815094 1981\n",
"4 ACN Accenture plc ... 1467373 1989\n",
"\n",
"[5 rows x 9 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 60
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "m1mD2_ec3mKu",
"outputId": "7aeb7658-ef7b-4829-e03d-bca9be73f0e5"
},
"source": [
"tickers = table[\"Symbol\"].tolist()\n",
"print(tickers)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"['MMM', 'ABT', 'ABBV', 'ABMD', 'ACN', 'ATVI', 'ADBE', 'AMD', 'AAP', 'AES', 'AFL', 'A', 'APD', 'AKAM', 'ALK', 'ALB', 'ARE', 'ALXN', 'ALGN', 'ALLE', 'LNT', 'ALL', 'GOOGL', 'GOOG', 'MO', 'AMZN', 'AMCR', 'AEE', 'AAL', 'AEP', 'AXP', 'AIG', 'AMT', 'AWK', 'AMP', 'ABC', 'AME', 'AMGN', 'APH', 'ADI', 'ANSS', 'ANTM', 'AON', 'AOS', 'APA', 'AAPL', 'AMAT', 'APTV', 'ADM', 'ANET', 'AJG', 'AIZ', 'T', 'ATO', 'ADSK', 'ADP', 'AZO', 'AVB', 'AVY', 'BKR', 'BLL', 'BAC', 'BK', 'BAX', 'BDX', 'BRK.B', 'BBY', 'BIO', 'BIIB', 'BLK', 'BA', 'BKNG', 'BWA', 'BXP', 'BSX', 'BMY', 'AVGO', 'BR', 'BF.B', 'CHRW', 'COG', 'CDNS', 'CPB', 'COF', 'CAH', 'KMX', 'CCL', 'CARR', 'CTLT', 'CAT', 'CBOE', 'CBRE', 'CDW', 'CE', 'CNC', 'CNP', 'CERN', 'CF', 'SCHW', 'CHTR', 'CVX', 'CMG', 'CB', 'CHD', 'CI', 'CINF', 'CTAS', 'CSCO', 'C', 'CFG', 'CTXS', 'CLX', 'CME', 'CMS', 'KO', 'CTSH', 'CL', 'CMCSA', 'CMA', 'CAG', 'CXO', 'COP', 'ED', 'STZ', 'COO', 'CPRT', 'GLW', 'CTVA', 'COST', 'CCI', 'CSX', 'CMI', 'CVS', 'DHI', 'DHR', 'DRI', 'DVA', 'DE', 'DAL', 'XRAY', 'DVN', 'DXCM', 'FANG', 'DLR', 'DFS', 'DISCA', 'DISCK', 'DISH', 'DG', 'DLTR', 'D', 'DPZ', 'DOV', 'DOW', 'DTE', 'DUK', 'DRE', 'DD', 'DXC', 'EMN', 'ETN', 'EBAY', 'ECL', 'EIX', 'EW', 'EA', 'EMR', 'ETR', 'EOG', 'EFX', 'EQIX', 'EQR', 'ESS', 'EL', 'ETSY', 'EVRG', 'ES', 'RE', 'EXC', 'EXPE', 'EXPD', 'EXR', 'XOM', 'FFIV', 'FB', 'FAST', 'FRT', 'FDX', 'FIS', 'FITB', 'FE', 'FRC', 'FISV', 'FLT', 'FLIR', 'FLS', 'FMC', 'F', 'FTNT', 'FTV', 'FBHS', 'FOXA', 'FOX', 'BEN', 'FCX', 'GPS', 'GRMN', 'IT', 'GD', 'GE', 'GIS', 'GM', 'GPC', 'GILD', 'GL', 'GPN', 'GS', 'GWW', 'HAL', 'HBI', 'HIG', 'HAS', 'HCA', 'PEAK', 'HSIC', 'HSY', 'HES', 'HPE', 'HLT', 'HFC', 'HOLX', 'HD', 'HON', 'HRL', 'HST', 'HWM', 'HPQ', 'HUM', 'HBAN', 'HII', 'IEX', 'IDXX', 'INFO', 'ITW', 'ILMN', 'INCY', 'IR', 'INTC', 'ICE', 'IBM', 'IP', 'IPG', 'IFF', 'INTU', 'ISRG', 'IVZ', 'IPGP', 'IQV', 'IRM', 'JKHY', 'J', 'JBHT', 'SJM', 'JNJ', 'JCI', 'JPM', 'JNPR', 'KSU', 'K', 'KEY', 'KEYS', 'KMB', 'KIM', 'KMI', 'KLAC', 'KHC', 'KR', 'LB', 'LHX', 'LH', 'LRCX', 'LW', 'LVS', 'LEG', 'LDOS', 'LEN', 'LLY', 'LNC', 'LIN', 'LYV', 'LKQ', 'LMT', 'L', 'LOW', 'LUMN', 'LYB', 'MTB', 'MRO', 'MPC', 'MKTX', 'MAR', 'MMC', 'MLM', 'MAS', 'MA', 'MKC', 'MXIM', 'MCD', 'MCK', 'MDT', 'MRK', 'MET', 'MTD', 'MGM', 'MCHP', 'MU', 'MSFT', 'MAA', 'MHK', 'TAP', 'MDLZ', 'MNST', 'MCO', 'MS', 'MOS', 'MSI', 'MSCI', 'NDAQ', 'NOV', 'NTAP', 'NFLX', 'NWL', 'NEM', 'NWSA', 'NWS', 'NEE', 'NLSN', 'NKE', 'NI', 'NSC', 'NTRS', 'NOC', 'NLOK', 'NCLH', 'NRG', 'NUE', 'NVDA', 'NVR', 'ORLY', 'OXY', 'ODFL', 'OMC', 'OKE', 'ORCL', 'OTIS', 'PCAR', 'PKG', 'PH', 'PAYX', 'PAYC', 'PYPL', 'PNR', 'PBCT', 'PEP', 'PKI', 'PRGO', 'PFE', 'PM', 'PSX', 'PNW', 'PXD', 'PNC', 'POOL', 'PPG', 'PPL', 'PFG', 'PG', 'PGR', 'PLD', 'PRU', 'PEG', 'PSA', 'PHM', 'PVH', 'QRVO', 'PWR', 'QCOM', 'DGX', 'RL', 'RJF', 'RTX', 'O', 'REG', 'REGN', 'RF', 'RSG', 'RMD', 'RHI', 'ROK', 'ROL', 'ROP', 'ROST', 'RCL', 'SPGI', 'CRM', 'SBAC', 'SLB', 'STX', 'SEE', 'SRE', 'NOW', 'SHW', 'SPG', 'SWKS', 'SLG', 'SNA', 'SO', 'LUV', 'SWK', 'SBUX', 'STT', 'STE', 'SYK', 'SIVB', 'SYF', 'SNPS', 'SYY', 'TMUS', 'TROW', 'TTWO', 'TPR', 'TGT', 'TEL', 'FTI', 'TDY', 'TFX', 'TER', 'TSLA', 'TXN', 'TXT', 'TMO', 'TIF', 'TJX', 'TSCO', 'TT', 'TDG', 'TRV', 'TFC', 'TWTR', 'TYL', 'TSN', 'UDR', 'ULTA', 'USB', 'UAA', 'UA', 'UNP', 'UAL', 'UNH', 'UPS', 'URI', 'UHS', 'UNM', 'VLO', 'VAR', 'VTR', 'VRSN', 'VRSK', 'VZ', 'VRTX', 'VFC', 'VIAC', 'VTRS', 'V', 'VNT', 'VNO', 'VMC', 'WRB', 'WAB', 'WMT', 'WBA', 'DIS', 'WM', 'WAT', 'WEC', 'WFC', 'WELL', 'WST', 'WDC', 'WU', 'WRK', 'WY', 'WHR', 'WMB', 'WLTW', 'WYNN', 'XEL', 'XRX', 'XLNX', 'XYL', 'YUM', 'ZBRA', 'ZBH', 'ZION', 'ZTS']\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 445
},
"id": "dDOv73Sw4TgM",
"outputId": "73b307a8-01b4-4e98-f0e0-800835bd0d35"
},
"source": [
"import pandas as pd\n",
"from pandas_datareader import data as web\n",
"import matplotlib.pyplot as plt\n",
"from datetime import datetime\n",
"import statsmodels.tsa.api as smt\n",
"import statsmodels.api as sm\n",
"\n",
"asset_returns_daily = returns\n",
"asset_volatility_daily = asset_returns_daily.std()\n",
"\n",
"asset_returns_daily.plot.hist(bins=50, figsize=(10,6));\n",
"plt.xlabel('Daily Returns')\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
" import pandas.util.testing as tm\n"
],
"name": "stderr"
},
{
"output_type": "display_data",
"data": {
"image/png": 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o0UPHjx93LtetW1ebNm1yLrdt21Z//etfrSjtqrgcCQAAYAFCGAAAgAUIYQAAABYghAEAAFiAEAYAAGABQhgAAIAFCGEAAKDca9q0qSQpJSVFXbp0KfHZnDlztGzZMknSc889p3Xr1ple39UwTxgAAHCpWkkvu3R/p5rMcun+bheMhAEAAFiAkTAAAFChJCcnKyoqyrl8+vRpjRgxwsKKro4QBgAAKpT69etrw4YNzuU5c+ZYWM21cTkSAADAAoQwAAAACxDCAAAALMA9YQAAwKWsmFLiyJEjkqS6detq06ZNJT57/vnnnX+eP3++qXVdDyNhAAAAFiCEAQAAWIAQBgAAYAFCGAAAgAUIYQAAABYghAEAAFiAKSoAAEC59sQTT2j06NGKiIhwrlu+fLm2bt2q1NTUElNWzJkzR9WqVdOxY8eUmJioixcvKiUlRY0aNZIkPfvss3r44YdNqZsQBgAAXGr1wcEu3V9My1XX/bxPnz6Ki4srEcLi4uL06quvatKkSVfdZubMmZKklJQUPf300yXeNWkWLkcCAIByrVevXtq4caMuXLgg6VKwSktLU1BQkMWVXR8jYQAAoFzz8/NTcHCwNm/erO7duysuLk69e/eWzWZTcnKyoqKinG1Pnz6tESNGWFjt/xDCAABAuXf5kuTlEDZnzhxJUv369Utcary8/nbA5UgAAFDude/eXTt27NCBAweUl5enNm3aWF3SDRHCAABAuVetWjWFhYVp/Pjx6tOnj9XlGEIIAwAAFUKfPn106NChchPCTL0nrLi4WBMnTpS/v78mTpyoU6dOaf78+crOzlajRo00ZswYubtzmxoAAOXZjaaUKCs9evTQ8ePHnct169YtMUeYJD3//PMllq/WxiymjoT97W9/U506dZzLf/zjH9WrVy8tWrRI1apVs6wTAAAAzGZaCDtz5oz27dunrl27SpIcDocOHjyo0NBQSVJERIQSExPNKgcAAMBSpoWwDz/8UIMGDZLNZpMkZWdny9vbW3a7XZLk7++vjIwMs8oBAACwlCk3YO3du1c1atRQo0aNdPDgwVJvHx8fr/j4eEnS7NmzFRAQ4OoSr8vd3d30Y1Zm9Le56G9rBXY1dgWA39HN4fw2R1pamvOe7sp8b7enp2epzjdTeuq7777Tnj179NVXX+nChQvKy8vThx9+qNzcXBUVFclutysjI0P+/v5X3T4yMlKRkZHO5fT0dDPKdgoICDD9mJUZ/W0u+rt84Hd0czi/zVFQUCC73S53d3cVFhZaXY5lCgoKrjjfrvfqJFNC2IABAzRgwABJ0sGDB7V27VqNHTtWc+fO1ZdffqmOHTtqy5YtCgkJMaMcAAAAy1k6T9jAgQO1bt06jRkzRjk5OerSpYuV5QAAgHLo+PHjCg0NVWZmpiTp7NmzCg0NVUpKiiRp+fLlatSokc6dO+fcZteuXWrevLmioqLUuXNnvf7666bXbfqF25YtW6ply5aSpMDAQM2aNcvsEgAAQBkK2n/ApftLDW593c/r1Kmjp556SrNmzdKbb76pmTNnauDAgapbt64kKS4uTvfcc4/+/ve/KyYmxrld+/bttXLlSuXl5al79+566KGH1K5dO5fWfj3MmA8AAMq94cOHa9++fVq+fLkSExM1YsQISdJPP/2k8+fP68UXX1RsbOxVt61atapatmypEydOmFmy+SNhAAAArlalShW9+uqrGjhwoP70pz+pSpUqki6Ngj3yyCPq0KGDfvjhB50+fVo1a9Ysse3Zs2f1448/OucuNQsjYQAAoELYtGmTAgMDdfjwYee6uLg4RUdHy83NTT179tS6deucn+3evVuRkZFq27atwsPDVatWLVPrZSQMAACUe99++622b9+utWvXqk+fPoqOjlZGRoZ+/PFHPfnkk5Kkixcvqm7dunrmmWck/e+esGPHjql3797q3bu3WrVqZVrNjIQBAIByzeFw6OWXX9Zrr72mOnXqaOTIkZo2bZpiY2M1fvx4JSQkKCEhQfv27VNaWpr+85//lNi+Xr16GjVqlJYuXWpq3YQwAABQrn300UeqU6eOOnfuLEl6+umndeTIES1evFgPPfRQibY9evRQXFzcFfsYPHiwEhISnNNamMHmcDgcph3NRVJTU009HjMum4v+Nhf9XTqrDw625LgxLVdZctzyjvPbHLm5ufL29q70M+Zf7oefu96M+YyEAQAAWIAQBgAAYAFCGAAAgAUIYQAAABYghAEAAFiAEAYAAGABQhgAACj3mjZtKklKSUlR48aNFRUVpYiICL300ksqLi6WJGVkZKh+/fpauXKlpEvzi11+0bckZWdnKywsTMnJyabUzGuLAACASxUNf8Sl+7Mv/7xU7evXr68NGzaosLBQ/fr10/r169WzZ0+tXbtW9913n+Li4vTUU09pwIABWr16tbZt26bOnTvrrbfeUkxMjOrXr+/S+q+FkTAAAFAhubu7KyQkRD/99JOkSy/znjx5sk6ePKnU1FTZbDbNnj1bU6dO1ddff62dO3dq5MiRptVHCAMAABVSXl6eduzYoebNm+v48eNKS0vTvffeq4cffliff35pdK1FixYKDw9XTEyMpk2bJg8PD9PqI4QBAIAKJTk5WVFRUYqOjlbXrl3VpUsXrV27Vr1795YkRUdHl3h/5JAhQ1S7dm2FhYWZWif3hAGAhZ6Yn2Ws4fKyrQOoSC7fE/ZzsbGxOn36tD777DNJUlpamo4ePapGjRrJzc1Nbm7mj0sxEgYAACq0H374QefPn9fevXuVkJCghIQEjR49usRomBUIYQAAoEKLi4vTQw89VGJdz549FRsba1FFl9gcDofD0gpuQmpqqqnHCwgIUHp6uqnHrMzob3PR36Wz+uBgl+7P6OXI0j6ij0s4v82Rm5srb29vubu7q7Cw0OpyLHO5H34uKCjomu0ZCQMAALAAN+YDgIUei3jTUDtr71wBUBYYCQMAALAAIQwAAMAChDAAAAALEMIAAAAsQAgDAADlXt26dRUVFeX8X0pKinbt2qWnnnpKkrR69WrdddddOnTokHObLl26KCUlRTk5OQoLC9PRo0clSRcvXlTXrl21b9++Mq2ZpyMBAIBLRX902KX7ixvY/IZtvLy8rnhVUUpKSonlX/3qV1q4cKGWLVtWYr2Pj48mTpyoV199VR9//LGWLVumtm3b6r777rv14q+DkTAAAFApREZG6vvvv1dSUtIVnz3yyCOSpKVLl2rVqlV6+eWXy7weQhgAACj38vPznZcihw4detU2bm5uGjlypBYtWnTVz19//XXNmDFDzz77rPz8/MqyXElcjgQAABXA1S5HXs2jjz6qhQsX6tixY1d8tnnzZgUGBuq7774rixKvwEgYAACoNNzd3fXb3/5WS5YsKbH+5MmT+sMf/qB169Zp48aNJW7gLyuGQ1hiYqKKiorKshYAAIAy169fP+3YsUNnzpxxrps6darGjBmjoKAgTZkyRa+88oocDkeZ1mH4cuSaNWu0bNkyhYWFqXPnzmratGlZ1gUA+JnSPG1m5EkyoDLz8PDQr3/9a02ePFmStG3bNh0/flxPPvmkJKlbt276+OOP9Ze//EX9+vUrszpsjlLEvJ9++knbt2/Xzp075enpqc6dO6tTp06qVatWmRV4NampqaYeLyAgQOnp6aYeszKjv81Ff5fO6oODXbq/j/e/4tL9SYSwn+P8Nkdubq68vb3l7u6uwsJCq8uxzOV++LmgoKBrti/VjfkNGjRQgwYNNGjQIB04cECrVq3SmjVr1Lx5c0VGRqpjx45yc+M2MwAAgBsp9dORJ0+e1Pbt27V9+3bZbDbFxMQoICBA69evV0JCgiZMmFAWdQIAAFQohkPY+vXrtX37dp04cUJhYWEaPXq0mjVr5vy8Q4cOGjZsWJkUCQAAUNEYDmH79+/Xww8/rJCQEFWpUuWKzz09PRkFAwCgEirrpwjLi9L2g+EQNn78eLm5ucnd/X+bFBYWyuFwOEPZPffcU6qDAwCA8s/NzU2FhYUlMkJlU1hYWOr74g331owZMzRw4MASlyCPHj2qjz/+WFOnTi3VQQEAQMXh5eWl/Px82Ww2FRQUWF2O6RwOh9zc3OTl5VWq7QyHsOTk5CvmBmvSpImSk5NLdUAAAFCx2Gw2Va1alSlBSsnwuFm1atWUlZVVYl1WVpY8PT1dXhQAAEBFZziEdejQQQsWLNCxY8dUUFCgY8eOafHixbr//vvLsj4AAIAKyfDlyP79+2vlypWaNGmSLl68KA8PD0VERDin+AcAAIBxhkOYh4eHhg0bpqFDhyo7O1vVq1eXzWYry9oAAAAqrFI9S5qbm6vU1FTl5+eXWN+qVSuXFgUAAFDRGQ5hW7Zs0fvvvy8vLy95eHg419tsNi1evPi62164cEFTpkxRYWGhioqKFBoaqn79+unUqVOaP3++srOz1ahRI40ZM6ZSzzECAAAqD8OJ509/+pPGjx+ve++9t9QHqVKliqZMmSIvLy8VFhZq8uTJCg4O1rp169SrVy917NhRv//977Vp0yZ169at1PsHAAAobww/HVlcXHzTM+LbbDbnBGZFRUUqKiqSzWbTwYMHFRoaKkmKiIhQYmLiTe0fAACgvDE8EhYdHa2//vWvevzxx0s9Lb90KcS99NJLOnnypLp3767AwEB5e3vLbrdLkvz9/ZWRkXHVbePj4xUfHy9Jmj17tgICAkp9/Fvh7u5u+jErM/rbXPR36Yy7+KKhdvOqvFnGlVwbv8//4fw2F/1dOoZD2BdffKGzZ8/q888/l4+PT4nP3nnnnRtu7+bmprfeekvnz5/X22+/rdTUVMNFRkZGKjIy0rls9my8zABsLvrbXPR36QRZXYAB/D7/h/PbXPT3lYKCrv2tYTiEjRkzxiXFVKtWTS1bttT333+v3NxcFRUVyW63KyMjQ/7+/i45BgAAwO3OcAhr0aLFTR/k3Llzstvtqlatmi5cuKBvvvlG0dHRatmypb788kt17NhRW7ZsUUhIyE0fAwAAoDwxHMIuXryoTz75RDt37lR2drZWrFihr7/+WidOnFCPHj2uu21mZqaWLFmi4uJiORwO3X///Wrbtq3uuusuzZ8/X3/+85/VsGFDdenS5ZZ/IAAAgPLAcAhbsWKFMjIyNHbsWM2cOVOSVLduXa1YseKGIax+/fp6880rb1INDAzUrFmzSlkyAABA+Wc4hO3evVsLFy6Ul5eX83VF13uiEQAqs4/3v2J1CQBuc4bnmnB3d1dxcXGJdefOnVP16tVdXhQAAEBFZziEhYaGavHixTp16pSkS/d5vf/++woLCyuz4gAAACoqwyFswIABqlWrlp5//nnl5uZq7Nix8vPzU9++fcuyPgAAgArJ8D1h7u7uGjJkiIYMGeK8DHn53jAAAACUjuEQlpaWVmI5Ly/P+efAwEDXVQQAAFAJGA5hY8eOveZnq1evdkkxAIBbF/3RYUPt4gY2L+NKAFyP4RD2y6B19uxZ/eUvf9Hdd9/t8qIAAAAqOsM35v+Sr6+vhgwZoo8//tiV9QAAAFQKNx3CJCk1NVUFBQWuqgUAAKDSMHw5cvLkySWehiwoKFBKSoqeeOKJMikMAACgIjMcwn75cm0vLy/Vr19fv/rVr1xeFAAAQEVnOIRFRESUYRkAAACVy00/HXktMTExN10MAABAZWE4hJ04cUIJCQlq0qSJAgIClJ6erqSkJHXo0EEeHh5lWSMAAECFYziESdKzzz6r0NBQ53JCQoL+9a9/6Xe/+53LCwMAAKjIDE9R8dVXX6l9+/Yl1oWEhOirr75yeVEAAAAVneEQVrt2ba1fv77Eun/+85+qXbu2y4sCAACo6AxfjhwxYoTefvttff755/L391dGRobsdruef/75sqwPAACgQjIcwho2bKgFCxboyJEjyszMlK+vr5o1ayZ391LdVgYAAADdwmuLWrRoocLCQuXn57uyHgAAgErB8DDWsWPH9MYbb6hKlSo6c+aMwsLCdOjQIW3dulXjxo0ryxoBAAAqHMMjYcuXL1dMTIzmz5/vvATZokULHT58uMyKAwAAqKgMj4T95z//UadOnUqs8/Ly0oULF1xeFACg7BUNf8RQO/vyz8u4EoWi4f8AABZ/SURBVKByMjwSVrNmTR09erTEuqSkJKaoAAAAuAmGR8JiYmI0e/ZsRUVFqbCwUJ999pk2bNig3/72t2VZHwAAQIVkeCSsbdu2mjRpks6dO6cWLVro9OnTmjBhgu65556yrA8AAKBCMjQSVlxcrGeffVZz587VsGHDyromAACACs/QSJibm5vc3Nx08eLFsq4HAACgUjB8T1jPnj01b948Pfroo/L395fNZnN+FhgYWCbFAQAAVFQ3DGFnz56Vr6+v/vCHP0iSvvnmmyvarF692vWVAQAAVGA3DGHPPvusVqxY4Qxab731ll544YUyLwwAAKAiu+E9YQ6Ho8TyoUOHyqwYAACAyuKGIezn934BAADANW54ObKoqEjffvutc7m4uLjEsiS1atXK9ZUBAABUYDcMYTVq1NA777zjXPbx8SmxbLPZtHjx4rKpDgAAoIK6YQhbsmSJGXUAAABUKoZfWwQAAADXIYQBAABYgBAGAABgAcOvLQIASO0OVrG6BAAVBCNhAAAAFiCEAQAAWIAQBgAAYAFCGAAAgAUIYQAAABYghAEAAFiAEAYAAGABU+YJS09P15IlS3T27FnZbDZFRkaqZ8+eysnJ0bx583T69GnVrFlT48aNk4+PjxklAQAAWMqUEGa32zV48GA1atRIeXl5mjhxotq0aaMtW7aodevW6tOnj2JjYxUbG6tBgwaZURIAAIClTLkc6efnp0aNGkmSqlatqjp16igjI0OJiYkKDw+XJIWHhysxMdGMcgAAACxn+j1hp06d0o8//qgmTZooKytLfn5+kiRfX19lZWWZXQ4AAIAlTH13ZH5+vubMmaMhQ4bI29u7xGc2m002m+2q28XHxys+Pl6SNHv2bAUEBJR5rT/n7u5u+jErM/rbXPT3JR7xmw22rHzvjizP5wfnt7no79IxLYQVFhZqzpw56tSpkzp06CBJqlGjhjIzM+Xn56fMzEzdcccdV902MjJSkZGRzuX09HRTar4sICDA9GNWZvS3uejvS4KsLuA2Vp7PD85vc9HfVwoKuva3iymXIx0Oh5YtW6Y6dero4Ycfdq4PCQnR1q1bJUlbt25Vu3btzCgHAADAcqaMhH333Xfatm2b6tWrpxdeeEGS9OSTT6pPnz6aN2+eNm3a5JyiAgAAoDIwJYQ1b95ca9asuepnkydPNqMEAACA2woz5gMAAFjA1KcjAeB2lbLkFWMNI94s20IAVBqMhAEAAFiAEAYAAGABQhgAAIAFCGEAAAAWIIQBAABYgBAGAABgAUIYAACABQhhAAAAFiCEAQAAWIAQBgAAYAFeWwQAldRjBl/BFFfGdQCVFSNhAAAAFiCEAQAAWIAQBgAAYAFCGAAAgAUIYQAAABbg6UgAFVrQ/gOG2rUz+KRgZbR29VlD7XrH+JZxJUDFwkgYAACABQhhAAAAFiCEAQAAWIAQBgAAYAFCGAAAgAUIYQAAABYghAEAAFiAEAYAAGABQhgAAIAFCGEAAAAW4LVFAMqlouGPGGs4akbZFgIAN4mRMAAAAAsQwgAAACxACAMAALAAIQwAAMAChDAAAAALEMIAAAAsQAgDAACwACEMAADAAoQwAAAACxDCAAAALEAIAwAAsADvjgRw24j+6LDhtp+WYR0AYAZGwgAAACxACAMAALAAIQwAAMAChDAAAAALEMIAAAAswNORAMpc0P4DBltWKdM6cHN++/9SDLVr99FJQ+3iBja/lXKACoORMAAAAAuYMhK2dOlS7du3TzVq1NCcOXMkSTk5OZo3b55Onz6tmjVraty4cfLx8TGjHAAAAMuZMhIWERGhSZMmlVgXGxur1q1ba+HChWrdurViY2PNKAUAAOC2YEoIa9GixRWjXImJiQoPD5ckhYeHKzEx0YxSAAAAbguW3ZiflZUlPz8/SZKvr6+ysrKu2TY+Pl7x8fGSpNmzZysgIMCUGi9zd3c3/ZiVGf1trtupv4e513b5Ptsd5Gb/W+XqPjTzfLudzu/KgP4undvi6UibzSabzXbNzyMjIxUZGelcTk9PN6Msp4CAANOPWZnR3+Yyo7+DynTvKG/M/O+b7xNz0d9XCgq69jegZU9H1qhRQ5mZmZKkzMxM3XHHHVaVAgAAYDrLQlhISIi2bt0qSdq6davatWtnVSkAAACmM+Vy5Pz583Xo0CFlZ2drxIgR6tevn/r06aN58+Zp06ZNzikqAAAAKgtTQthzzz131fWTJ0824/AAAAC3ndvixnwA5VP0R4cNtUtsaWx/7xUae+2NJL0X8abhtgBwO+K1RQAAABYghAEAAFiAEAYAAGABQhgAAIAFCGEAAAAW4OlIAIBLlMW7P40oGv7INT9L+8WyffnnZVsMUAqMhAEAAFiAEAYAAGABQhgAAIAFCGEAAAAWIIQBAABYgKcjAQAu8dv/l2KoXap8y7gSoHxgJAwAAMAChDAAAAALEMIAAAAsQAgDAACwADfmAwAqjeiPDhtqFzeweRlXAjASBgAAYAlCGAAAgAUIYQAAABYghAEAAFiAEAYAAGABno4EcIWi4Y8YaxjxZtkWggrJ6BOKRn3q0r1dwlOUMAMjYQAAABYghAEAAFiAEAYAAGABQhgAAIAFCGEAAAAW4OlIoBJZu/rsVdZeua6nwf19uuVFQ+1SthjcIU9blmspS14x1tDg7zmx5UVjx91i7LBlgacocSsYCQMAALAAIQwAAMAChDAAAAALEMIAAAAsQAgDAACwAE9HAhWA0Se0hrnXdulxH+NpRvwM58O1Be0/YKhdanDrMq4EtxNGwgAAACxACAMAALAAIQwAAMAChDAAAAALcGO+CYzeNC3xagtXMHoD7Lvf1TXUrneM762Uc4XSnA9GXwtk9DUwP6atNHxsoCIy/N+UQXVHzXDp/oyy8nVJN/qODfrv/xt9yODqr1O7kqu/i28HjIQBAABYgBAGAABgAUIYAACABQhhAAAAFiCEAQAAWICnI6/iyic1rv7kRs/4p4ztsBSv8jD6ZF+7g1UMtTP6ZIzR46YsecVQOytfX/LpFmM1KtLYk4KrDw421G7cRWNPXRmurwxsvLObsXYRxtoBZcno91xpvmONPh1p9Dvs0yWu3d+AKsa+b7qeaWeoXfRHhpqVSmJLY+2Khj9iqN17Bvumt4w9HWn0uPblnxtqV5YYCQMAALCA5SNh+/fv1wcffKDi4mJ17dpVffr0sbokAACAMmfpSFhxcbHef/99TZo0SfPmzdPOnTv1n//8x8qSAAAATGFpCEtKSlLt2rUVGBgod3d3hYWFKTEx0cqSAAAATGFpCMvIyNCdd97pXL7zzjuVkZFhYUUAAADmsDkcDodVB//yyy+1f/9+jRgxQpK0bds2HTlyREOHDi3RLj4+XvHx8ZKk2bNnm14nAACAq1k6Eubv768zZ844l8+cOSN/f/8r2kVGRmr27NmWBbCJEydactzKiv42F/1tLvrbXPS3uejv0rE0hDVu3FgnTpzQqVOnVFhYqF27dikkJMTKkgAAAExh6RQVdrtdv/71rzVjxgwVFxfrwQcfVN26da0sCQAAwBSWzxN233336b777rO6jOuKjIy0uoRKhf42F/1tLvrbXPS3uejv0rH0xnwAAIDKitcWAQAAWMDyy5G3i5ycHM2bN0+nT59WzZo1NW7cOPn4+FzRbsaMGTpy5IiaN29e4imQJUuW6NChQ/L29pYkjRo1Sg0aNDCr/HLnVvv71KlTmj9/vrKzs9WoUSONGTNG7u6cztditL+3bNmiTz/9VJL02GOPKSIiQpI0depUZWZmysPDQ5L06quvqkaNGqbVX17c6DVsFy9e1OLFi3X06FFVr15dzz33nGrVqiVJ+uyzz7Rp0ya5ubnpmWeeUXBwsBU/Qrlys/196tQpjRs3TkFBQZKkpk2b6je/+Y0VP0K5cqP+PnTokFasWKHk5GQ999xzCg0NdX52re+WSs8Bh8PhcKxatcrx2WefORwOh+Ozzz5zrFq16qrtvvnmG0diYqJj1qxZJdYvXrzY8a9//avM66wobrW/58yZ49ixY4fD4XA43n33Xcc//vGPsi24nDPS39nZ2Y5Ro0Y5srOzS/zZ4XA4pkyZ4khKSjK15vKmqKjIMXr0aMfJkycdFy9edEyYMMGRkpJSos369esd7777rsPhcDh27NjhmDt3rsPhcDhSUlIcEyZMcFy4cMGRlpbmGD16tKOoqMj0n6E8uZX+TktLc4wfP970msszI/2dlpbm+OmnnxyLFi0q8ffh9b5bKjsuR/5XYmKiwsPDJUnh4eHXfH1S69atVbVqVTNLq5Bupb8dDocOHjzo/FdWREQEr7u6ASP9vX//frVp00Y+Pj7y8fFRmzZttH//frNLLbeMvIZtz549zhGA0NBQffvtt3I4HEpMTFRYWJiqVKmiWrVqqXbt2kpKSrLgpyg/bqW/UXpG+rtWrVqqX7++bDZbifV8t1wb12/+KysrS35+fpIkX19fZWVllXoff/rTn/TJJ5+oVatWGjhwoKpUqeLqMiuMW+nv7OxseXt7y263S7o06S+vu7o+I/39y9eI/bJfly5dKjc3N3Xo0EGPP/74FV+0ld3VXsN25MiRa7ax2+3y9vZWdna2MjIy1LRpU2c7zukbu5X+li7d0vDiiy+qatWq6t+/v+6++27zii+HjPS30W05v/+nUoWwadOm6ezZs1es79+/f4llm81W6r9gBgwYIF9fXxUWFurdd99VXFycnnjiiVuqt7wry/7Glcqyv8eOHSt/f3/l5eVpzpw52rZtm3NkDShv/Pz8tHTpUlWvXl1Hjx7VW2+9pTlz5jjv6QXMUqlC2P/93/9d87MaNWooMzNTfn5+yszM1B133FGqfV8eZahSpYoefPBBrV279pZqrQjKqr+rV6+u3NxcFRUVyW63KyMj46qvu6psbrW//f39dejQIedyRkaGWrRo4fxMkqpWraoHHnhASUlJhLBfMPIatstt7rzzThUVFSk3N1fVq1e/YlvO6Ru7lf622WzOKxWNGjVSYGCgTpw4ocaNG5v6M5QnRl8zeK1tr/XdUtlxT9h/hYSEaOvWrZKkrVu3ql27dqXaPjMzU5Kc93cw8//13Up/22w2tWzZUl9++aWkS0/d8Lqr6zPS38HBwfr666+Vk5OjnJwcff311woODlZRUZHOnTsnSSosLNTevXs5v6/CyGvY2rZtqy1btkiSvvzyS7Vs2VI2m00hISHatWuXLl68qFOnTunEiRNq0qSJBT9F+XEr/X3u3DkVFxdLktLS0nTixAkFBgaa/SOUK7fymsFrfbeAyVqdsrOzNW/ePKWnp5d4hP+HH37Qhg0bNGLECEnS5MmTdfz4ceXn56t69eoaMWKEgoOD9dprrzn/oqpfv75+85vfyMvLy8of6bZ2q/2dlpam+fPnKycnRw0bNtSYMWO4B+86jPb3pk2b9Nlnn0m69Bj5gw8+qPz8fE2ZMkVFRUUqLi5W69at9fTTT8vNjX/D/dK+ffu0YsUK52vYHnvsMa1evVqNGzdWSEiILly4oMWLF+vHH3+Uj4+PnnvuOedf/p9++qk2b94sNzc3DRkyRPfee6/FP83t72b7+8svv9SaNWtkt9vl5uamvn378g85A27U30lJSXr77bd1/vx5ValSRb6+vpo7d66kq3+3gBAGAABgCf4pCwAAYAFCGAAAgAUIYQAAABYghAEAAFiAEAYAAGABQhiAciE9PV2DBw92zu80depUbdy40eKqAODmVaoZ8wFYZ9SoUTp79qxzbqa77rpLnTt3VmRkpKE5xwICArRq1apbrmPLli1655135OHhITc3N9WqVUv9+/dX27Ztb7jtwYMHtWjRIi1btuyW6wAAQhgA07z00ktq06aNcnNzdejQIX3wwQdKSkrS7373O1PraNasmaZNm6bi4mJt3LhR8+fP17Jly1StWrUyPe7lV20BgMTlSAAW8Pb2VkhIiMaNG6etW7fq2LFjki7NyP3iiy/q6aef1siRI7VmzRrnNqdOnVK/fv1UVFRUYl+FhYV65plnnPuQpKysLA0aNMj5FotrcXNzU+fOnVVQUKATJ05Iki5evKiVK1dq5MiRGj58uH7/+9/rwoULys/P18yZM5WZmanBgwdr8ODBysjI0JIlS/TnP//Zuc+DBw8630AgXRoBjI2N1YQJEzR48GCdPHlS/fr105YtWzRy5EgNHTpUn376qbN9UlKSJk6cqKefflrDhw/XihUrbqKHAZQHjIQBsEyTJk3k7++vw4cPq169evL09NTo0aN11113KSUlRdOnT1eDBg3Uvn37a+7D3d1dHTt21LZt2zRo0CBJ0s6dO9WqVasbvhi+uLhYmzdvlt1uV82aNSVJH330kdLS0vTWW2/JbrdrwYIF+uSTTzRgwABNmjTppi5H7ty5UxMnTtQdd9yhs2fPSpIOHz6sBQsWKDU1VZMmTVL79u1111136YMPPlDPnj3VuXNn5efnlwiXACoWRsIAWMrf3185OTmSpJYtW6pevXpyc3NT/fr11bFjRx06dOiG+wgPD9fOnTt1+S1s27ZtU+fOna/Z/siRIxoyZIgGDhyoVatWacyYMapRo4YcDoc2btyop59+Wj4+Pqpataoee+wx7dy585Z+xoceekgBAQHy8PBwruvbt688PDzUoEED1a9fX8nJyZIuhcqTJ0/q3Llz8vLyUrNmzW7p2ABuX4yEAbBURkaGfHx8JF0KRx9//LGOHTumwsJCFRYWKjQ09Ib7aNq0qTw9PXXw4EH5+fnp5MmT130hc9OmTTVt2jTl5+frnXfe0eHDhxUWFqZz586poKBAEydOdLZ1OBzOJzJvVkBAwBXrfH19nX/29PRUfn6+JGnEiBFavXq1xo0bp1q1aumJJ54w9NAAgPKHEAbAMklJScrIyFDz5s0lSQsXLlT37t318ssvy8PDQx9++OEN7+u6LDw8XNu3b5evr69CQ0NLjDpdi5eXl4YPH67Ro0frwQcfVP369eXh4aG5c+fK39//ivY2m+2KdZ6eniooKHAuX77ceLN+9atf6bnnnlNxcbF2796tuXPn6v3335eXl9ct7RfA7YfLkQBMl5ubq71792rBggXq1KmT6tWrJ0nKy8uTj4+PPDw8lJSUpB07dhjeZ6dOnbR7925t3779upcif8nHx0ddunTRJ598Ijc3N3Xt2lUffvihsrKyJF0aqdu/f78kqUaNGsrOzlZubq5z+wYNGuirr75STk6Ozp49q7/97W+Gj30127Zt07lz5+Tm5iZvb29JMjSFB4Dyh5EwAKZ54403ZLfbZbPZdNddd6lXr17q1q2b8/Nhw4Zp5cqV+sMf/qAWLVro/vvv1/nz5w3tOyAgQI0aNdLJkyd19913l6quXr16acyYMUpOTtbAgQP1ySef6JVXXlF2drb8/f0VFRWl4OBg1alTRx07dtTo0aNVXFysuXPnqnPnzjpw4IBGjRqlmjVrKiIiQuvWrSvV8X9u//79WrlypQoKClSzZk09++yzhkb1AJQ/NsflO1kBoJxbunSp/P391b9/f6tLAYAbYowbQIVw6tQp7d69W126dLG6FAAwhMuRAMq9P//5z/riiy/06KOPqlatWlaXAwCGcDkSAADAAlyOBAAAsAAhDAAAwAKEMAAAAAsQwgAAACxACAMAALAAIQwAAMAC/x/hSDg/97/WmAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "pUHtN7Uh4tig",
"outputId": "5078f9cb-3aff-443a-ac60-fa01fa1f4cf3"
},
"source": [
"asset_volatility_daily = returns.std()\n",
"asset_volatility_daily"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"ARKG 0.032040\n",
"ARKW 0.028548\n",
"ARKK 0.030867\n",
"SOXX 0.029024\n",
"VIG 0.020238\n",
"IHI 0.020959\n",
"XBI 0.025917\n",
"VHT 0.019816\n",
"PTF 0.027950\n",
"VBK 0.023475\n",
"IWO 0.024436\n",
"PRNT 0.024413\n",
"IWP 0.022573\n",
"IZRL 0.023444\n",
"dtype: float64"
]
},
"metadata": {
"tags": []
},
"execution_count": 54
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "y8Cm2I_9HgU8",
"outputId": "efe2e697-768e-4c1f-eb94-7d08379e2efb"
},
"source": [
"asset_volatility_daily.max()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.032040010678071384"
]
},
"metadata": {
"tags": []
},
"execution_count": 55
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "PSA4N_FZHlTd",
"outputId": "ce9c315a-a44f-4298-a85a-025fb654e1a9"
},
"source": [
"asset_volatility_daily.min()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.019816324599107742"
]
},
"metadata": {
"tags": []
},
"execution_count": 56
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 494
},
"id": "77kj_B5vHqV9",
"outputId": "784c6c8b-80fb-491c-e483-c4b471e760c6"
},
"source": [
"returns.plot(figsize=(16,8))"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f5ab22f2748>"
]
},
"metadata": {
"tags": []
},
"execution_count": 53
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 748
},
"id": "7J1taCMaH2SW",
"outputId": "3b34795b-076d-4f81-e0dc-ad054bba3b1a"
},
"source": [
"sns.clustermap(returns.corr())"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<seaborn.matrix.ClusterGrid at 0x7f5ab22b0828>"
]
},
"metadata": {
"tags": []
},
"execution_count": 54
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 4 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "CLecDhq0M2hO"
},
"source": [
"def plot_autocorr(s, lags=50, figsize=(12, 8), title=None):\n",
" fig = plt.figure(figsize=figsize)\n",
" layout = 2, 2\n",
" acf_ax = plt.subplot2grid(layout, (0, 0))\n",
" abs_acf_ax = plt.subplot2grid(layout, (0, 1))\n",
" pacf_ax = plt.subplot2grid(layout, (1, 0))\n",
" squared_ax = plt.subplot2grid(layout, (1, 1))\n",
"\n",
" sm.graphics.tsa.plot_acf(\n",
" s,\n",
" fft=True,\n",
" zero=False,\n",
" lags=lags,\n",
" ax=acf_ax,\n",
" title=\"Autocorrelation of Returns\",\n",
" )\n",
"\n",
" sm.graphics.tsa.plot_acf(\n",
" s.abs(),\n",
" fft=True,\n",
" zero=False,\n",
" lags=lags,\n",
" ax=abs_acf_ax,\n",
" title=\"Autocorrelation of Absolute Returns\",\n",
" )\n",
"\n",
" sm.graphics.tsa.plot_pacf(\n",
" s, zero=False, lags=lags, ax=pacf_ax, title=\"Partial Autocorrelation of Returns\"\n",
" )\n",
"\n",
" sm.graphics.tsa.plot_acf(\n",
" s ** 2,\n",
" fft=True,\n",
" zero=False,\n",
" lags=lags,\n",
" ax=squared_ax,\n",
" title=\"Autocorrelation of Squared Returns\",\n",
" )\n",
"\n",
" if title:\n",
" fig.suptitle(title, fontweight=\"demi\", fontsize=16)\n",
" fig.tight_layout()\n",
" fig.subplots_adjust(top=0.88)\n",
" return\n"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 768
},
"id": "NhO30WGeNIWx",
"outputId": "8009ae6f-2703-482c-a19d-e027b6e453a5"
},
"source": [
"plot_autocorr(returns.mean(axis=1), title=\"Real Mean Returns Autocorrelations\")"
],
"execution_count": null,
"outputs": [
{
"output_type": "error",
"ename": "NameError",
"evalue": "ignored",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-28-4eea9a0b36b6>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplot_autocorr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mreturns\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0maxis\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mtitle\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"Real Mean Returns Autocorrelations\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;32m<ipython-input-27-aceb3182756e>\u001b[0m in \u001b[0;36mplot_autocorr\u001b[0;34m(s, lags, figsize, title)\u001b[0m\n\u001b[1;32m 7\u001b[0m \u001b[0msquared_ax\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplot2grid\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlayout\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 9\u001b[0;31m sm.graphics.tsa.plot_acf(\n\u001b[0m\u001b[1;32m 10\u001b[0m \u001b[0ms\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 11\u001b[0m \u001b[0mfft\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'sm' is not defined"
]
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x576 with 4 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 574
},
"id": "wImA7hKINNPg",
"outputId": "418118c6-b33b-45e7-a6bd-684bbb2e67d8"
},
"source": [
"_ = returns.cumsum().plot(figsize=(12, 10))"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x720 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 483
},
"id": "erWsntVDN7Ht",
"outputId": "d2d48a84-a388-423c-82de-28e40e5cb87e"
},
"source": [
"# Generate Var-Cov matrix\n",
"cov_matrix = returns.cov()\n",
"cov_matrix"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>ARKG</th>\n",
" <th>ARKK</th>\n",
" <th>SOXX</th>\n",
" <th>VIG</th>\n",
" <th>VGT</th>\n",
" <th>IHI</th>\n",
" <th>XBI</th>\n",
" <th>VHT</th>\n",
" <th>PTF</th>\n",
" <th>VBK</th>\n",
" <th>IWO</th>\n",
" <th>PRNT</th>\n",
" <th>IWP</th>\n",
" <th>IZRL</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>ARKG</th>\n",
" <td>0.001037</td>\n",
" <td>0.000891</td>\n",
" <td>0.000635</td>\n",
" <td>0.000392</td>\n",
" <td>0.000557</td>\n",
" <td>0.000439</td>\n",
" <td>0.000709</td>\n",
" <td>0.000429</td>\n",
" <td>0.000688</td>\n",
" <td>0.000573</td>\n",
" <td>0.000599</td>\n",
" <td>0.000571</td>\n",
" <td>0.000538</td>\n",
" <td>0.000578</td>\n",
" </tr>\n",
" <tr>\n",
" <th>ARKK</th>\n",
" <td>0.000891</td>\n",
" <td>0.000940</td>\n",
" <td>0.000705</td>\n",
" <td>0.000428</td>\n",
" <td>0.000621</td>\n",
" <td>0.000454</td>\n",
" <td>0.000659</td>\n",
" <td>0.000432</td>\n",
" <td>0.000749</td>\n",
" <td>0.000616</td>\n",
" <td>0.000628</td>\n",
" <td>0.000624</td>\n",
" <td>0.000591</td>\n",
" <td>0.000600</td>\n",
" </tr>\n",
" <tr>\n",
" <th>SOXX</th>\n",
" <td>0.000635</td>\n",
" <td>0.000705</td>\n",
" <td>0.000795</td>\n",
" <td>0.000471</td>\n",
" <td>0.000636</td>\n",
" <td>0.000452</td>\n",
" <td>0.000528</td>\n",
" <td>0.000443</td>\n",
" <td>0.000650</td>\n",
" <td>0.000570</td>\n",
" <td>0.000575</td>\n",
" <td>0.000575</td>\n",
" <td>0.000560</td>\n",
" <td>0.000502</td>\n",
" </tr>\n",
" <tr>\n",
" <th>VIG</th>\n",
" <td>0.000392</td>\n",
" <td>0.000428</td>\n",
" <td>0.000471</td>\n",
" <td>0.000382</td>\n",
" <td>0.000430</td>\n",
" <td>0.000365</td>\n",
" <td>0.000364</td>\n",
" <td>0.000350</td>\n",
" <td>0.000392</td>\n",
" <td>0.000405</td>\n",
" <td>0.000413</td>\n",
" <td>0.000393</td>\n",
" <td>0.000394</td>\n",
" <td>0.000328</td>\n",
" </tr>\n",
" <tr>\n",
" <th>VGT</th>\n",
" <td>0.000557</td>\n",
" <td>0.000621</td>\n",
" <td>0.000636</td>\n",
" <td>0.000430</td>\n",
" <td>0.000591</td>\n",
" <td>0.000427</td>\n",
" <td>0.000471</td>\n",
" <td>0.000407</td>\n",
" <td>0.000593</td>\n",
" <td>0.000500</td>\n",
" <td>0.000496</td>\n",
" <td>0.000485</td>\n",
" <td>0.000502</td>\n",
" <td>0.000422</td>\n",
" </tr>\n",
" <tr>\n",
" <th>IHI</th>\n",
" <td>0.000439</td>\n",
" <td>0.000454</td>\n",
" <td>0.000452</td>\n",
" <td>0.000365</td>\n",
" <td>0.000427</td>\n",
" <td>0.000412</td>\n",
" <td>0.000388</td>\n",
" <td>0.000369</td>\n",
" <td>0.000414</td>\n",
" <td>0.000404</td>\n",
" <td>0.000403</td>\n",
" <td>0.000385</td>\n",
" <td>0.000399</td>\n",
" <td>0.000332</td>\n",
" </tr>\n",
" <tr>\n",
" <th>XBI</th>\n",
" <td>0.000709</td>\n",
" <td>0.000659</td>\n",
" <td>0.000528</td>\n",
" <td>0.000364</td>\n",
" <td>0.000471</td>\n",
" <td>0.000388</td>\n",
" <td>0.000644</td>\n",
" <td>0.000398</td>\n",
" <td>0.000523</td>\n",
" <td>0.000486</td>\n",
" <td>0.000511</td>\n",
" <td>0.000468</td>\n",
" <td>0.000451</td>\n",
" <td>0.000458</td>\n",
" </tr>\n",
" <tr>\n",
" <th>VHT</th>\n",
" <td>0.000429</td>\n",
" <td>0.000432</td>\n",
" <td>0.000443</td>\n",
" <td>0.000350</td>\n",
" <td>0.000407</td>\n",
" <td>0.000369</td>\n",
" <td>0.000398</td>\n",
" <td>0.000366</td>\n",
" <td>0.000393</td>\n",
" <td>0.000385</td>\n",
" <td>0.000388</td>\n",
" <td>0.000367</td>\n",
" <td>0.000376</td>\n",
" <td>0.000322</td>\n",
" </tr>\n",
" <tr>\n",
" <th>PTF</th>\n",
" <td>0.000688</td>\n",
" <td>0.000749</td>\n",
" <td>0.000650</td>\n",
" <td>0.000392</td>\n",
" <td>0.000593</td>\n",
" <td>0.000414</td>\n",
" <td>0.000523</td>\n",
" <td>0.000393</td>\n",
" <td>0.000748</td>\n",
" <td>0.000529</td>\n",
" <td>0.000510</td>\n",
" <td>0.000500</td>\n",
" <td>0.000539</td>\n",
" <td>0.000482</td>\n",
" </tr>\n",
" <tr>\n",
" <th>VBK</th>\n",
" <td>0.000573</td>\n",
" <td>0.000616</td>\n",
" <td>0.000570</td>\n",
" <td>0.000405</td>\n",
" <td>0.000500</td>\n",
" <td>0.000404</td>\n",
" <td>0.000486</td>\n",
" <td>0.000385</td>\n",
" <td>0.000529</td>\n",
" <td>0.000520</td>\n",
" <td>0.000533</td>\n",
" <td>0.000507</td>\n",
" <td>0.000484</td>\n",
" <td>0.000457</td>\n",
" </tr>\n",
" <tr>\n",
" <th>IWO</th>\n",
" <td>0.000599</td>\n",
" <td>0.000628</td>\n",
" <td>0.000575</td>\n",
" <td>0.000413</td>\n",
" <td>0.000496</td>\n",
" <td>0.000403</td>\n",
" <td>0.000511</td>\n",
" <td>0.000388</td>\n",
" <td>0.000510</td>\n",
" <td>0.000533</td>\n",
" <td>0.000567</td>\n",
" <td>0.000528</td>\n",
" <td>0.000485</td>\n",
" <td>0.000473</td>\n",
" </tr>\n",
" <tr>\n",
" <th>PRNT</th>\n",
" <td>0.000571</td>\n",
" <td>0.000624</td>\n",
" <td>0.000575</td>\n",
" <td>0.000393</td>\n",
" <td>0.000485</td>\n",
" <td>0.000385</td>\n",
" <td>0.000468</td>\n",
" <td>0.000367</td>\n",
" <td>0.000500</td>\n",
" <td>0.000507</td>\n",
" <td>0.000528</td>\n",
" <td>0.000658</td>\n",
" <td>0.000467</td>\n",
" <td>0.000475</td>\n",
" </tr>\n",
" <tr>\n",
" <th>IWP</th>\n",
" <td>0.000538</td>\n",
" <td>0.000591</td>\n",
" <td>0.000560</td>\n",
" <td>0.000394</td>\n",
" <td>0.000502</td>\n",
" <td>0.000399</td>\n",
" <td>0.000451</td>\n",
" <td>0.000376</td>\n",
" <td>0.000539</td>\n",
" <td>0.000484</td>\n",
" <td>0.000485</td>\n",
" <td>0.000467</td>\n",
" <td>0.000478</td>\n",
" <td>0.000419</td>\n",
" </tr>\n",
" <tr>\n",
" <th>IZRL</th>\n",
" <td>0.000578</td>\n",
" <td>0.000600</td>\n",
" <td>0.000502</td>\n",
" <td>0.000328</td>\n",
" <td>0.000422</td>\n",
" <td>0.000332</td>\n",
" <td>0.000458</td>\n",
" <td>0.000322</td>\n",
" <td>0.000482</td>\n",
" <td>0.000457</td>\n",
" <td>0.000473</td>\n",
" <td>0.000475</td>\n",
" <td>0.000419</td>\n",
" <td>0.000528</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ARKG ARKK SOXX ... PRNT IWP IZRL\n",
"ARKG 0.001037 0.000891 0.000635 ... 0.000571 0.000538 0.000578\n",
"ARKK 0.000891 0.000940 0.000705 ... 0.000624 0.000591 0.000600\n",
"SOXX 0.000635 0.000705 0.000795 ... 0.000575 0.000560 0.000502\n",
"VIG 0.000392 0.000428 0.000471 ... 0.000393 0.000394 0.000328\n",
"VGT 0.000557 0.000621 0.000636 ... 0.000485 0.000502 0.000422\n",
"IHI 0.000439 0.000454 0.000452 ... 0.000385 0.000399 0.000332\n",
"XBI 0.000709 0.000659 0.000528 ... 0.000468 0.000451 0.000458\n",
"VHT 0.000429 0.000432 0.000443 ... 0.000367 0.000376 0.000322\n",
"PTF 0.000688 0.000749 0.000650 ... 0.000500 0.000539 0.000482\n",
"VBK 0.000573 0.000616 0.000570 ... 0.000507 0.000484 0.000457\n",
"IWO 0.000599 0.000628 0.000575 ... 0.000528 0.000485 0.000473\n",
"PRNT 0.000571 0.000624 0.000575 ... 0.000658 0.000467 0.000475\n",
"IWP 0.000538 0.000591 0.000560 ... 0.000467 0.000478 0.000419\n",
"IZRL 0.000578 0.000600 0.000502 ... 0.000475 0.000419 0.000528\n",
"\n",
"[14 rows x 14 columns]"
]
},
"metadata": {
"tags": []
},
"execution_count": 56
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "bHOFmgirRmS5"
},
"source": [
"initial_investment = 30000\n",
"# Calculate mean returns for each stock\n",
"avg_rets = returns.mean()\n",
"\n",
"# Calculate mean returns for portfolio overall,\n",
"# using dot product to\n",
"# normalize individual means against investment weights\n",
" # https://en.wikipedia.org/wiki/Dot_product#:~:targetText=In%20mathematics%2C%20the%20dot%20product,and%20returns%20a%20single%20number.\n",
"port_mean = avg_rets.dot(weights)\n",
"\n",
"# Calculate portfolio standard deviation\n",
"port_stdev = np.sqrt(weights.T.dot(cov_matrix).dot(weights))\n",
"\n",
"# Calculate mean of investment\n",
"mean_investment = (1+port_mean) * initial_investment\n",
"\n",
"# Calculate standard deviation of investmnet\n",
"stdev_investment = initial_investment * port_stdev"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "tCIGOcPbRtYr"
},
"source": [
"# Select our confidence interval (I'll choose 95% here)\n",
"conf_level1 = 0.01\n",
"\n",
"# Using SciPy ppf method to generate values for the\n",
"# inverse cumulative distribution function to a normal distribution\n",
"# Plugging in the mean, standard deviation of our portfolio\n",
"# as calculated above\n",
"# https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.norm.html\n",
"from scipy.stats import norm\n",
"cutoff1 = norm.ppf(conf_level1, mean_investment, stdev_investment)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "SQCfv1d4R9Jl",
"outputId": "13134e5e-fdb4-46fb-b5cb-7f3a05ee129c"
},
"source": [
"#Finally, we can calculate the VaR at our confidence interval\n",
"var_1d1 = initial_investment - cutoff1\n",
"var_1d1"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"1443.0010522488956"
]
},
"metadata": {
"tags": []
},
"execution_count": 59
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 857
},
"id": "ouGpoXXmSAxG",
"outputId": "006967fb-5504-4d00-e373-f4da04c668f2"
},
"source": [
"import matplotlib.mlab as mlab\n",
"import matplotlib.pyplot as plt\n",
"# Calculate n Day VaR\n",
"var_array = []\n",
"num_days = int(30)\n",
"for x in range(1, num_days+1):\n",
" var_array.append(np.round(var_1d1 * np.sqrt(x),2))\n",
" print(str(x) + \" day VaR @ 99% confidence: \" + str(np.round(var_1d1 * np.sqrt(x),2)))\n",
"\n",
"# Build plot\n",
"plt.xlabel(\"Day #\")\n",
"plt.ylabel(\"Max portfolio loss (USD)\")\n",
"plt.title(\"Max portfolio loss (VaR) over 60-day period\")\n",
"plt.plot(var_array, \"r\")"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"1 day VaR @ 99% confidence: 1443.0\n",
"2 day VaR @ 99% confidence: 2040.71\n",
"3 day VaR @ 99% confidence: 2499.35\n",
"4 day VaR @ 99% confidence: 2886.0\n",
"5 day VaR @ 99% confidence: 3226.65\n",
"6 day VaR @ 99% confidence: 3534.62\n",
"7 day VaR @ 99% confidence: 3817.82\n",
"8 day VaR @ 99% confidence: 4081.42\n",
"9 day VaR @ 99% confidence: 4329.0\n",
"10 day VaR @ 99% confidence: 4563.17\n",
"11 day VaR @ 99% confidence: 4785.89\n",
"12 day VaR @ 99% confidence: 4998.7\n",
"13 day VaR @ 99% confidence: 5202.81\n",
"14 day VaR @ 99% confidence: 5399.22\n",
"15 day VaR @ 99% confidence: 5588.72\n",
"16 day VaR @ 99% confidence: 5772.0\n",
"17 day VaR @ 99% confidence: 5949.65\n",
"18 day VaR @ 99% confidence: 6122.13\n",
"19 day VaR @ 99% confidence: 6289.9\n",
"20 day VaR @ 99% confidence: 6453.3\n",
"21 day VaR @ 99% confidence: 6612.66\n",
"22 day VaR @ 99% confidence: 6768.27\n",
"23 day VaR @ 99% confidence: 6920.39\n",
"24 day VaR @ 99% confidence: 7069.23\n",
"25 day VaR @ 99% confidence: 7215.01\n",
"26 day VaR @ 99% confidence: 7357.89\n",
"27 day VaR @ 99% confidence: 7498.05\n",
"28 day VaR @ 99% confidence: 7635.64\n",
"29 day VaR @ 99% confidence: 7770.8\n",
"30 day VaR @ 99% confidence: 7903.64\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f5aa95f62e8>]"
]
},
"metadata": {
"tags": []
},
"execution_count": 60
},
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UWsl1DNrSEPu"
},
"source": [
"def Correlations_in_Portfolio(cartera, Fecha_Start, Fecha_End):\n",
"\n",
" import pandas as pd\n",
" import numpy as np\n",
" from functools import reduce\n",
" import pandas_datareader.data as web\n",
" import datetime\n",
" import random\n",
" import matplotlib.pyplot as plt\n",
" import matplotlib as mpl\n",
" import seaborn as sns\n",
" from datetime import datetime\n",
"\n",
" mpl.style.use('ggplot')\n",
" figsize = (25, 25)\n",
"\n",
" start = datetime.strptime(Fecha_Start, '%d-%m-%Y')\n",
" end = datetime.strptime(Fecha_End, '%d-%m-%Y')\n",
"\n",
" tickers = cartera\n",
" asset_universe = pd.DataFrame([web.DataReader(ticker, 'yahoo', start,\n",
" end).loc[:, 'Close'] for ticker in tickers],\n",
" index=tickers).T.fillna(method='ffill')\n",
" asset_universe = asset_universe/asset_universe.iloc[0, :]\n",
"\n",
" portfolio_returns = asset_universe.pct_change().dropna().mean(axis=1)\n",
" portfolio = (asset_universe.pct_change().dropna().mean(axis=1) + 1).cumprod()\n",
"\n",
" asset_universe_returns = asset_universe.pct_change()\n",
"\n",
" ax, fig = plt.subplots(figsize=(15,12))\n",
" sns.heatmap(asset_universe_returns.corr(),annot=True)\n",
" plt.plot()\n",
" df = asset_universe_returns.corr()\n",
" return df"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 704
},
"id": "fITVnKPxSZCa",
"outputId": "f22f82b9-1245-4871-c48f-9c7c69f2f472"
},
"source": [
"df_corr = Correlations_in_Portfolio(equity, '01-01-2019', '20-01-2021')"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1080x864 with 2 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "OT8YER1mSgyr"
},
"source": [
"def Compound_Annual_Growth_Rate(Simbolo, Fuente, Fecha_Start, Fecha_End):\n",
" import numpy as np\n",
" import math\n",
" import matplotlib.pyplot as plt\n",
" from scipy.stats import norm\n",
" from pandas_datareader import data\n",
"\n",
" df_dato = Descargar_Datos(Simbolo, Fuente, Fecha_Start,Fecha_End)\n",
" quote = df_dato.filter(['Close'])\n",
" days = (quote.index[-1] - quote.index[0]).days\n",
" cagr = ((((quote['Close'][-1]) / quote['Close'][1])) ** (365.0/days)) - 1\n",
" return cagr\n",
"\n",
"def Annual_Volatility(Simbolo, Fuente, Fecha_Start, Fecha_End):\n",
" import numpy as np\n",
" import math\n",
" import matplotlib.pyplot as plt\n",
" from scipy.stats import norm\n",
" from pandas_datareader import data\n",
"\n",
" df_dato = Descargar_Datos(Simbolo, Fuente, Fecha_Start,Fecha_End)\n",
" quote = df_dato.filter(['Close'])\n",
" quote['Returns'] = quote['Close'].pct_change()\n",
" vol = quote['Returns'].std()*np.sqrt(252)\n",
" return vol\n",
"\n",
"\n",
"def Descargar_Datos(Symbolo, Source, fecha_start, fecha_end):\n",
" \"\"\"\n",
" Describe: Descargamos datos de cualquier fuente permitida\n",
" Symbolo Ej: 'SYF','SPY', 'GDP'\n",
" Source Ej: 'fred', 'yahoo'\n",
" fecha_start = '01-01-2020' %d-%m-%Y\n",
" fecha_end = '01-02-2020' %d-%m-%Y\n",
" Exclusive fecha_start < fecha_end\n",
" \"\"\"\n",
" from datetime import datetime\n",
" import pandas_datareader as web\n",
" fecha_ini = datetime.strptime(fecha_start, '%d-%m-%Y')\n",
" fecha_fin = datetime.strptime(fecha_end, '%d-%m-%Y')\n",
" df = web.DataReader(Symbolo, data_source=Source, start=fecha_ini, end=fecha_fin)\n",
" return df\n",
"\n",
"def Historical_Volatility(sym, days):\n",
" import numpy as np\n",
" import pandas_datareader.data as web\n",
" quotes = web.DataReader(sym, 'yahoo')['Close'][-days:]\n",
" logreturns = np.log(quotes / quotes.shift(1))\n",
" return np.sqrt(252*logreturns.var())"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KRhjMqtUV-Wt",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "44f868d2-c322-43fb-a535-769ea5fcbbc6"
},
"source": [
"Historical_Volatility(equity[0],252)"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.7344568366176075"
]
},
"metadata": {
"tags": []
},
"execution_count": 63
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "hZqPG4djBo3H",
"outputId": "4cfe83fb-2ebf-4cf6-b1b8-bd16bb79fdc8"
},
"source": [
"Annual_Volatility(equity[0],'yahoo','01-01-2018','01-12-2020')"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.31998103986170784"
]
},
"metadata": {
"tags": []
},
"execution_count": 59
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "BZTKSDm3CfWZ",
"outputId": "82711aae-b643-4c26-ecdf-eb7fe16b85a5"
},
"source": [
"Compound_Annual_Growth_Rate(equity[0],'yahoo','01-01-2018','01-12-2020')"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"0.39555462795286567"
]
},
"metadata": {
"tags": []
},
"execution_count": 60
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5ARK-LEFCoty"
},
"source": [],
"execution_count": null,
"outputs": []
}
]
}
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