{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Stumpy Test\n", "\n", "Play with stumpy.\n", "\n", "In this notebook I'm testing motif discovery around economic events. Specifically, I'm looking at the start and end dates of stock market drawdowns associated with recessions.\n", "\n", "**Author:** shittles\n", "\n", "**Created:** 2024-09-24\n", "\n", "**Modified:** 2024-09-25\n", "\n", "## Changelog\n" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [], "source": [ "import stumpy\n", "import numpy as np\n", "import pandas as pd\n", "import plotly.express as px\n", "import plotly.graph_objects as go\n", "\n", "from vectorbtpro import *" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "vbt.settings.set_theme(\"dark\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## US Stock Market\n", "\n", "### Ingestion\n" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "66bb0444e11b45f6a7dccefa45bf40fb", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/3 [00:00\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
OpenHighLowCloseVolumeDividendsStock Splits
Date
1974-09-27 04:00:00+00:000.00000067.08999664.58000264.9400021.232000e+070.00.0
1974-09-30 04:00:00+00:000.00000064.84999862.52000063.5400011.500000e+070.00.0
1974-10-01 04:00:00+00:000.00000064.37000361.75000063.3899991.689000e+070.00.0
1974-10-02 04:00:00+00:000.00000064.62000362.74000263.3800011.223000e+070.00.0
1974-10-03 04:00:00+00:000.00000063.48000061.66000062.2799991.315000e+070.00.0
........................
2024-09-23 05:00:00+00:00NaNNaNNaNNaNNaNNaNNaN
2024-09-24 04:00:00+00:005727.6601565735.3198245698.9902345732.9301763.872710e+090.00.0
2024-09-24 05:00:00+00:00NaNNaNNaNNaNNaNNaNNaN
2024-09-25 04:00:00+00:005733.6499025741.0297855712.0600595722.2597663.624910e+090.00.0
2024-09-25 05:00:00+00:00NaNNaNNaNNaNNaNNaNNaN
\n", "

21357 rows × 7 columns

\n", "" ], "text/plain": [ " Open High Low Close \\\n", "Date \n", "1974-09-27 04:00:00+00:00 0.000000 67.089996 64.580002 64.940002 \n", "1974-09-30 04:00:00+00:00 0.000000 64.849998 62.520000 63.540001 \n", "1974-10-01 04:00:00+00:00 0.000000 64.370003 61.750000 63.389999 \n", "1974-10-02 04:00:00+00:00 0.000000 64.620003 62.740002 63.380001 \n", "1974-10-03 04:00:00+00:00 0.000000 63.480000 61.660000 62.279999 \n", "... ... ... ... ... \n", "2024-09-23 05:00:00+00:00 NaN NaN NaN NaN \n", "2024-09-24 04:00:00+00:00 5727.660156 5735.319824 5698.990234 5732.930176 \n", "2024-09-24 05:00:00+00:00 NaN NaN NaN NaN \n", "2024-09-25 04:00:00+00:00 5733.649902 5741.029785 5712.060059 5722.259766 \n", "2024-09-25 05:00:00+00:00 NaN NaN NaN NaN \n", "\n", " Volume Dividends Stock Splits \n", "Date \n", "1974-09-27 04:00:00+00:00 1.232000e+07 0.0 0.0 \n", "1974-09-30 04:00:00+00:00 1.500000e+07 0.0 0.0 \n", "1974-10-01 04:00:00+00:00 1.689000e+07 0.0 0.0 \n", "1974-10-02 04:00:00+00:00 1.223000e+07 0.0 0.0 \n", "1974-10-03 04:00:00+00:00 1.315000e+07 0.0 0.0 \n", "... ... ... ... \n", "2024-09-23 05:00:00+00:00 NaN NaN NaN \n", "2024-09-24 04:00:00+00:00 3.872710e+09 0.0 0.0 \n", "2024-09-24 05:00:00+00:00 NaN NaN NaN \n", "2024-09-25 04:00:00+00:00 3.624910e+09 0.0 0.0 \n", "2024-09-25 05:00:00+00:00 NaN NaN NaN \n", "\n", "[21357 rows x 7 columns]" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.data[\"^GSPC\"]" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DatetimeIndex(['1974-09-27 04:00:00+00:00', '1974-09-30 04:00:00+00:00',\n", " '1974-10-01 04:00:00+00:00', '1974-10-02 04:00:00+00:00',\n", " '1974-10-03 04:00:00+00:00', '1974-10-04 04:00:00+00:00',\n", " '1974-10-07 04:00:00+00:00', '1974-10-08 04:00:00+00:00',\n", " '1974-10-09 04:00:00+00:00', '1974-10-10 04:00:00+00:00',\n", " ...\n", " '2024-09-19 04:00:00+00:00', '2024-09-19 05:00:00+00:00',\n", " '2024-09-20 04:00:00+00:00', '2024-09-20 05:00:00+00:00',\n", " '2024-09-23 04:00:00+00:00', '2024-09-23 05:00:00+00:00',\n", " '2024-09-24 04:00:00+00:00', '2024-09-24 05:00:00+00:00',\n", " '2024-09-25 04:00:00+00:00', '2024-09-25 05:00:00+00:00'],\n", " dtype='datetime64[ns, UTC]', name='Date', length=21357, freq=None)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.index" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "close": [ 64.94000244140625, 63.540000915527344, 63.38999938964844, 63.380001068115234, 62.279998779296875, 62.34000015258789, 64.94999694824219, 64.83999633789062, 67.81999969482422, 69.79000091552734, 71.13999938964844, 72.73999786376953, 71.44000244140625, 70.33000183105469, 71.16999816894531, 72.27999877929688, 73.5, 73.12999725341797, 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"linecolor": "#313439", "ticks": "" }, "bgcolor": "#212226", "caxis": { "gridcolor": "#313439", "linecolor": "#313439", "ticks": "" } }, "title": { "x": 0.05 }, "updatemenudefaults": { "bgcolor": "#313439", "borderwidth": 0 }, "xaxis": { "automargin": true, "gridcolor": "#313439", "linecolor": "#313439", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "#313439", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "#313439", "linecolor": "#313439", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "#313439", "zerolinewidth": 2 } } }, "width": 700, "yaxis": { "type": "log" } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# but the closes are fine.\n", "data.data[\"^GSPC\"][\"Close\"].vbt.plot(yaxis=dict(type=\"log\")).show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cleaning\n" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Open', 'High', 'Low', 'Close', 'Volume', 'Dividends', 'Stock Splits']" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.features" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.get_feature(\"Volume\").any(axis=1).all()" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.get_feature(\"Dividends\").any(axis=1).all()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.get_feature(\"Stock Splits\").any(axis=1).all()" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "data = data.remove_features([\"Volume\", \"Dividends\", \"Stock Splits\"])" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "data = data.resample(\"daily\")" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# data = data.transform(lambda df: df.loc[\"April 19th 1982\" < df.index])\n", "data.data[\"^GSPC\"].plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## US Recession Dates\n", "\n", "File downloaded from FRED as CSV.\n", "\n", "- https://www.nber.org/research/data/us-business-cycle-expansions-and-contractions\n", "- https://fred.stlouisfed.org/series/USREC\n", "\n", "### Ingestion\n" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
DATEUSREC
01854-12-011
11855-01-010
21855-02-010
31855-03-010
41855-04-010
.........
20322024-04-010
20332024-05-010
20342024-06-010
20352024-07-010
20362024-08-010
\n", "

2037 rows × 2 columns

\n", "
" ], "text/plain": [ " DATE USREC\n", "0 1854-12-01 1\n", "1 1855-01-01 0\n", "2 1855-02-01 0\n", "3 1855-03-01 0\n", "4 1855-04-01 0\n", "... ... ...\n", "2032 2024-04-01 0\n", "2033 2024-05-01 0\n", "2034 2024-06-01 0\n", "2035 2024-07-01 0\n", "2036 2024-08-01 0\n", "\n", "[2037 rows x 2 columns]" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_usrec = pd.read_csv(\"USREC.csv\")\n", "\n", "df_usrec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cleaning\n" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "df_usrec = df_usrec.rename(columns={\"DATE\": \"Date\"})\n", "\n", "df_usrec[\"Date\"] = pd.to_datetime(df_usrec[\"Date\"], utc=True)\n", "\n", "df_usrec = df_usrec.set_index(\"Date\")" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
USREC
Date
1854-12-01 00:00:00+00:001
1855-01-01 00:00:00+00:000
1855-02-01 00:00:00+00:000
1855-03-01 00:00:00+00:000
1855-04-01 00:00:00+00:000
......
2024-04-01 00:00:00+00:000
2024-05-01 00:00:00+00:000
2024-06-01 00:00:00+00:000
2024-07-01 00:00:00+00:000
2024-08-01 00:00:00+00:000
\n", "

2037 rows × 1 columns

\n", "
" ], "text/plain": [ " USREC\n", "Date \n", "1854-12-01 00:00:00+00:00 1\n", "1855-01-01 00:00:00+00:00 0\n", "1855-02-01 00:00:00+00:00 0\n", "1855-03-01 00:00:00+00:00 0\n", "1855-04-01 00:00:00+00:00 0\n", "... ...\n", "2024-04-01 00:00:00+00:00 0\n", "2024-05-01 00:00:00+00:00 0\n", "2024-06-01 00:00:00+00:00 0\n", "2024-07-01 00:00:00+00:00 0\n", "2024-08-01 00:00:00+00:00 0\n", "\n", "[2037 rows x 1 columns]" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_usrec" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
USRECRecession ID
Date
1854-12-01 00:00:00+00:0011.0
1855-01-01 00:00:00+00:000NaN
1855-02-01 00:00:00+00:000NaN
1855-03-01 00:00:00+00:000NaN
1855-04-01 00:00:00+00:000NaN
.........
2024-04-01 00:00:00+00:000NaN
2024-05-01 00:00:00+00:000NaN
2024-06-01 00:00:00+00:000NaN
2024-07-01 00:00:00+00:000NaN
2024-08-01 00:00:00+00:000NaN
\n", "

2037 rows × 2 columns

\n", "
" ], "text/plain": [ " USREC Recession ID\n", "Date \n", "1854-12-01 00:00:00+00:00 1 1.0\n", "1855-01-01 00:00:00+00:00 0 NaN\n", "1855-02-01 00:00:00+00:00 0 NaN\n", "1855-03-01 00:00:00+00:00 0 NaN\n", "1855-04-01 00:00:00+00:00 0 NaN\n", "... ... ...\n", "2024-04-01 00:00:00+00:00 0 NaN\n", "2024-05-01 00:00:00+00:00 0 NaN\n", "2024-06-01 00:00:00+00:00 0 NaN\n", "2024-07-01 00:00:00+00:00 0 NaN\n", "2024-08-01 00:00:00+00:00 0 NaN\n", "\n", "[2037 rows x 2 columns]" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Increment the id when the recession state goes from zero to one.\n", "df_usrec[\"Recession ID\"] = (\n", " (df_usrec[\"USREC\"] == 1) & (df_usrec[\"USREC\"] != df_usrec[\"USREC\"].shift())\n", ").cumsum()\n", "\n", "# Set the id to nan when the recession state is zero.\n", "df_usrec.loc[df_usrec[\"USREC\"] == 0, \"Recession ID\"] = np.nan\n", "\n", "df_usrec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analysis\n" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Start DateEnd Date
Recession ID
1.01854-12-01 00:00:00+00:001854-12-01 00:00:00+00:00
2.01857-07-01 00:00:00+00:001858-12-01 00:00:00+00:00
3.01860-11-01 00:00:00+00:001861-06-01 00:00:00+00:00
4.01865-05-01 00:00:00+00:001867-12-01 00:00:00+00:00
5.01869-07-01 00:00:00+00:001870-12-01 00:00:00+00:00
6.01873-11-01 00:00:00+00:001879-03-01 00:00:00+00:00
7.01882-04-01 00:00:00+00:001885-05-01 00:00:00+00:00
8.01887-04-01 00:00:00+00:001888-04-01 00:00:00+00:00
9.01890-08-01 00:00:00+00:001891-05-01 00:00:00+00:00
10.01893-02-01 00:00:00+00:001894-06-01 00:00:00+00:00
11.01896-01-01 00:00:00+00:001897-06-01 00:00:00+00:00
12.01899-07-01 00:00:00+00:001900-12-01 00:00:00+00:00
13.01902-10-01 00:00:00+00:001904-08-01 00:00:00+00:00
14.01907-06-01 00:00:00+00:001908-06-01 00:00:00+00:00
15.01910-02-01 00:00:00+00:001912-01-01 00:00:00+00:00
16.01913-02-01 00:00:00+00:001914-12-01 00:00:00+00:00
17.01918-09-01 00:00:00+00:001919-03-01 00:00:00+00:00
18.01920-02-01 00:00:00+00:001921-07-01 00:00:00+00:00
19.01923-06-01 00:00:00+00:001924-07-01 00:00:00+00:00
20.01926-11-01 00:00:00+00:001927-11-01 00:00:00+00:00
21.01929-09-01 00:00:00+00:001933-03-01 00:00:00+00:00
22.01937-06-01 00:00:00+00:001938-06-01 00:00:00+00:00
23.01945-03-01 00:00:00+00:001945-10-01 00:00:00+00:00
24.01948-12-01 00:00:00+00:001949-10-01 00:00:00+00:00
25.01953-08-01 00:00:00+00:001954-05-01 00:00:00+00:00
26.01957-09-01 00:00:00+00:001958-04-01 00:00:00+00:00
27.01960-05-01 00:00:00+00:001961-02-01 00:00:00+00:00
28.01970-01-01 00:00:00+00:001970-11-01 00:00:00+00:00
29.01973-12-01 00:00:00+00:001975-03-01 00:00:00+00:00
30.01980-02-01 00:00:00+00:001980-07-01 00:00:00+00:00
31.01981-08-01 00:00:00+00:001982-11-01 00:00:00+00:00
32.01990-08-01 00:00:00+00:001991-03-01 00:00:00+00:00
33.02001-04-01 00:00:00+00:002001-11-01 00:00:00+00:00
34.02008-01-01 00:00:00+00:002009-06-01 00:00:00+00:00
35.02020-03-01 00:00:00+00:002020-04-01 00:00:00+00:00
\n", "
" ], "text/plain": [ " Start Date End Date\n", "Recession ID \n", "1.0 1854-12-01 00:00:00+00:00 1854-12-01 00:00:00+00:00\n", "2.0 1857-07-01 00:00:00+00:00 1858-12-01 00:00:00+00:00\n", "3.0 1860-11-01 00:00:00+00:00 1861-06-01 00:00:00+00:00\n", "4.0 1865-05-01 00:00:00+00:00 1867-12-01 00:00:00+00:00\n", "5.0 1869-07-01 00:00:00+00:00 1870-12-01 00:00:00+00:00\n", "6.0 1873-11-01 00:00:00+00:00 1879-03-01 00:00:00+00:00\n", "7.0 1882-04-01 00:00:00+00:00 1885-05-01 00:00:00+00:00\n", "8.0 1887-04-01 00:00:00+00:00 1888-04-01 00:00:00+00:00\n", "9.0 1890-08-01 00:00:00+00:00 1891-05-01 00:00:00+00:00\n", "10.0 1893-02-01 00:00:00+00:00 1894-06-01 00:00:00+00:00\n", "11.0 1896-01-01 00:00:00+00:00 1897-06-01 00:00:00+00:00\n", "12.0 1899-07-01 00:00:00+00:00 1900-12-01 00:00:00+00:00\n", "13.0 1902-10-01 00:00:00+00:00 1904-08-01 00:00:00+00:00\n", "14.0 1907-06-01 00:00:00+00:00 1908-06-01 00:00:00+00:00\n", "15.0 1910-02-01 00:00:00+00:00 1912-01-01 00:00:00+00:00\n", "16.0 1913-02-01 00:00:00+00:00 1914-12-01 00:00:00+00:00\n", "17.0 1918-09-01 00:00:00+00:00 1919-03-01 00:00:00+00:00\n", "18.0 1920-02-01 00:00:00+00:00 1921-07-01 00:00:00+00:00\n", "19.0 1923-06-01 00:00:00+00:00 1924-07-01 00:00:00+00:00\n", "20.0 1926-11-01 00:00:00+00:00 1927-11-01 00:00:00+00:00\n", "21.0 1929-09-01 00:00:00+00:00 1933-03-01 00:00:00+00:00\n", "22.0 1937-06-01 00:00:00+00:00 1938-06-01 00:00:00+00:00\n", "23.0 1945-03-01 00:00:00+00:00 1945-10-01 00:00:00+00:00\n", "24.0 1948-12-01 00:00:00+00:00 1949-10-01 00:00:00+00:00\n", "25.0 1953-08-01 00:00:00+00:00 1954-05-01 00:00:00+00:00\n", "26.0 1957-09-01 00:00:00+00:00 1958-04-01 00:00:00+00:00\n", "27.0 1960-05-01 00:00:00+00:00 1961-02-01 00:00:00+00:00\n", "28.0 1970-01-01 00:00:00+00:00 1970-11-01 00:00:00+00:00\n", "29.0 1973-12-01 00:00:00+00:00 1975-03-01 00:00:00+00:00\n", "30.0 1980-02-01 00:00:00+00:00 1980-07-01 00:00:00+00:00\n", "31.0 1981-08-01 00:00:00+00:00 1982-11-01 00:00:00+00:00\n", "32.0 1990-08-01 00:00:00+00:00 1991-03-01 00:00:00+00:00\n", "33.0 2001-04-01 00:00:00+00:00 2001-11-01 00:00:00+00:00\n", "34.0 2008-01-01 00:00:00+00:00 2009-06-01 00:00:00+00:00\n", "35.0 2020-03-01 00:00:00+00:00 2020-04-01 00:00:00+00:00" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_usrec_stats = (\n", " df_usrec.reset_index()\n", " .groupby(\"Recession ID\")\n", " .agg(\n", " **{\n", " \"Start Date\": (\"Date\", \"first\"),\n", " \"End Date\": (\"Date\", \"last\"),\n", " }\n", " )\n", ")\n", "\n", "df_usrec_stats" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "def plot_recessions(fig, data, df_usrec_stats):\n", " \"\"\"Plot recessions as vertical rectangles.\"\"\"\n", " for index, row in df_usrec_stats.iterrows():\n", " if data.index[0] < row[\"End Date\"]:\n", " if row[\"End Date\"] < data.index[-1]:\n", " # Clip recessions that started before the data.\n", " if row[\"Start Date\"] < data.index[0]:\n", " row[\"Start Date\"] = data.index[0]\n", "\n", " fig.add_vrect(\n", " x0=row[\"Start Date\"],\n", " x1=row[\"End Date\"],\n", " fillcolor=\"grey\",\n", " opacity=0.2,\n", " line_width=0,\n", " )\n", "\n", " return fig" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "name": "Close", "showlegend": true, "type": "scatter", "uid": "4dc608b0-453e-4da4-a702-2994373a2efc", "x": [ "1974-09-27T00:00:00+00:00", "1974-09-28T00:00:00+00:00", "1974-09-29T00:00:00+00:00", "1974-09-30T00:00:00+00:00", "1974-10-01T00:00:00+00:00", "1974-10-02T00:00:00+00:00", "1974-10-03T00:00:00+00:00", "1974-10-04T00:00:00+00:00", "1974-10-05T00:00:00+00:00", "1974-10-06T00:00:00+00:00", "1974-10-07T00:00:00+00:00", "1974-10-08T00:00:00+00:00", "1974-10-09T00:00:00+00:00", "1974-10-10T00:00:00+00:00", "1974-10-11T00:00:00+00:00", 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"gridwidth": 2, "linecolor": "#313439", "showbackground": true, "ticks": "", "zerolinecolor": "#aec0d6" } }, "shapedefaults": { "line": { "color": "#d6dfef" } }, "sliderdefaults": { "bgcolor": "#aec0d6", "bordercolor": "#212226", "borderwidth": 1, "tickwidth": 0 }, "ternary": { "aaxis": { "gridcolor": "#313439", "linecolor": "#313439", "ticks": "" }, "baxis": { "gridcolor": "#313439", "linecolor": "#313439", "ticks": "" }, "bgcolor": "#212226", "caxis": { "gridcolor": "#313439", "linecolor": "#313439", "ticks": "" } }, "title": { "x": 0.05 }, "updatemenudefaults": { "bgcolor": "#313439", "borderwidth": 0 }, "xaxis": { "automargin": true, "gridcolor": "#313439", "linecolor": "#313439", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "#313439", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "#313439", "linecolor": "#313439", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "#313439", "zerolinewidth": 2 } } }, "title": { "text": "NBER Recession Dates" }, "width": 700, "xaxis": { "title": { "text": "Date" } }, "yaxis": { "title": { "text": "Log Close" }, "type": "log" } } } }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = vbt.make_figure()\n", "\n", "data.data[\"^GSPC\"][\"Close\"].vbt.plot(yaxis=dict(type=\"log\"), fig=fig)\n", "\n", "fig = plot_recessions(fig, data, df_usrec_stats)\n", "\n", "fig.update_layout(\n", " title=\"NBER Recession Dates\",\n", " xaxis_title=\"Date\",\n", " yaxis_title=\"Log Close\",\n", " showlegend=True,\n", ")\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## US Stock Market Drawdowns Associated with Recessions\n", "\n", "**Goal:** Find the drawdowns associated with US recessions.\n", "\n", "**Reasoning:** I want to avoid large drawdowns. In a perfect world you could forecast all of them, but in reality no-one seems to be able to do so. I think recessions are a subset of crashes that're caused by the \"real\" economy deteriorating, so there should be warning signals in advance of the crash.\n" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Date\n", "1974-09-27 00:00:00+00:00 0.000000\n", "1974-09-28 00:00:00+00:00 NaN\n", "1974-09-29 00:00:00+00:00 NaN\n", "1974-09-30 00:00:00+00:00 0.000000\n", "1974-10-01 00:00:00+00:00 0.000000\n", " ... \n", "2024-09-21 00:00:00+00:00 NaN\n", "2024-09-22 00:00:00+00:00 NaN\n", "2024-09-23 00:00:00+00:00 5711.899902\n", "2024-09-24 00:00:00+00:00 5727.660156\n", "2024-09-25 00:00:00+00:00 5733.649902\n", "Freq: D, Name: ^GSPC, Length: 18262, dtype: float64" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sr_gspc_open = data.get_feature(\"Open\")[\"^GSPC\"]\n", "sr_gspc_high = data.get_feature(\"High\")[\"^GSPC\"]\n", "sr_gspc_low = data.get_feature(\"Low\")[\"^GSPC\"]\n", "sr_gspc_close = data.get_feature(\"Close\")[\"^GSPC\"]\n", "\n", "sr_gspc_open" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [], "source": [ "# to sr_gspc_open dataframe add column with weekday of sr_gspc_open.index.dayofweek but keep index only Date\n", "\n", "sr_gspc_open = sr_gspc_open.to_frame(\"Open\").assign(weekday=sr_gspc_open.index.dayofweek)\n" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Start DateEnd DateFirst valueLast valueAvg value
weekday
01974-09-30 00:00:00+00:002024-09-23 00:00:00+00:000.05711.8999021173.832593
11974-10-01 00:00:00+00:002024-09-24 00:00:00+00:000.05727.6601561190.857564
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" ], "text/plain": [ " Start Date End Date First value \\\n", "weekday \n", "0 1974-09-30 00:00:00+00:00 2024-09-23 00:00:00+00:00 0.0 \n", "1 1974-10-01 00:00:00+00:00 2024-09-24 00:00:00+00:00 0.0 \n", "2 1974-10-02 00:00:00+00:00 2024-09-25 00:00:00+00:00 0.0 \n", "3 1974-10-03 00:00:00+00:00 2024-09-19 00:00:00+00:00 0.0 \n", "4 1974-09-27 00:00:00+00:00 2024-09-20 00:00:00+00:00 0.0 \n", "5 1974-09-28 00:00:00+00:00 2024-09-21 00:00:00+00:00 NaN \n", "6 1974-09-29 00:00:00+00:00 2024-09-22 00:00:00+00:00 NaN \n", "\n", " Last value Avg value \n", "weekday \n", "0 5711.899902 1173.832593 \n", "1 5727.660156 1190.857564 \n", "2 5733.649902 1189.595689 \n", "3 5702.629883 1190.946251 \n", "4 5709.640137 1189.769876 \n", "5 NaN NaN \n", "6 NaN NaN " ] }, "execution_count": 98, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sr_gspc_open_agg = (\n", " sr_gspc_open.reset_index()\n", " .groupby(\"weekday\")\n", " .agg(\n", " **{\n", " \"Start Date\": (\"Date\", \"first\"),\n", " \"End Date\": (\"Date\", \"last\"),\n", " \"First value\": (\"Open\", \"first\"),\n", " \"Last value\": (\"Open\", \"last\"),\n", " \"Avg value\": (\"Open\", \"mean\"),\n", " }\n", " )\n", ")\n", "\n", "sr_gspc_open_agg" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Start 1974-09-26 00:00:00+00:00\n", "End 2024-09-24 00:00:00+00:00\n", "Period 18262 days 00:00:00\n", "Start Value 100.0\n", "Min Value 93.710502\n", "Max Value 8626.136405\n", "End Value 8626.136405\n", "Total Return [%] 8526.136405\n", "Benchmark Return [%] 8526.136405\n", "Total Time Exposure [%] 100.0\n", "Max Gross Exposure [%] 100.0\n", "Max Drawdown [%] 56.775388\n", "Max Drawdown Duration 2621 days 00:00:00\n", "Total Orders 1\n", "Total Fees Paid 0.0\n", "Total Trades 1\n", "Win Rate [%] NaN\n", "Best Trade [%] NaN\n", "Worst Trade [%] NaN\n", "Avg Winning Trade [%] NaN\n", "Avg Losing Trade [%] NaN\n", "Avg Winning Trade Duration NaT\n", "Avg Losing Trade Duration NaT\n", "Profit Factor NaN\n", "Expectancy NaN\n", "Sharpe Ratio 0.598918\n", "Calmar Ratio 0.164117\n", "Omega Ratio 1.118793\n", "Sortino Ratio 0.844157\n", "Name: ^GSPC, dtype: object" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pf = vbt.Portfolio.from_holding(close=sr_gspc_close)\n", "\n", "pf.stats()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "legendgroup": "0", "line": { "color": "#1f77b4" }, "mode": "lines", "name": "Close", "showlegend": true, "type": "scatter", "uid": "0ea5a68d-f676-40d0-991d-da1115a91439", "x": [ "1974-09-26T00:00:00+00:00", "1974-09-27T00:00:00+00:00", "1974-09-28T00:00:00+00:00", "1974-09-29T00:00:00+00:00", "1974-09-30T00:00:00+00:00", "1974-10-01T00:00:00+00:00", "1974-10-02T00:00:00+00:00", "1974-10-03T00:00:00+00:00", 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attribute 'readable'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[100], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m df_drawdowns \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m 2\u001b[0m pd\u001b[38;5;241m.\u001b[39mmerge(\n\u001b[0;32m----> 3\u001b[0m \u001b[43mpf\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdrawdowns\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mreadable\u001b[49m,\n\u001b[1;32m 4\u001b[0m pf\u001b[38;5;241m.\u001b[39mdrawdowns\u001b[38;5;241m.\u001b[39mdrawdown\u001b[38;5;241m.\u001b[39mreadable[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValue\u001b[39m\u001b[38;5;124m\"\u001b[39m],\n\u001b[1;32m 5\u001b[0m left_index\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m,\n\u001b[1;32m 6\u001b[0m right_index\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m,\n\u001b[1;32m 7\u001b[0m )\n\u001b[1;32m 8\u001b[0m \u001b[38;5;241m.\u001b[39mset_index(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mDrawdown Id\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 9\u001b[0m \u001b[38;5;241m.\u001b[39msort_values(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValue\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m 10\u001b[0m )\n", "\u001b[0;31mAttributeError\u001b[0m: 'Drawdowns' object has no attribute 'readable'" ] } ], "source": [ "df_drawdowns = (\n", " pd.merge(\n", " pf.drawdowns.readable,\n", " pf.drawdowns.drawdown.readable[\"Value\"],\n", " left_index=True,\n", " right_index=True,\n", " )\n", " .set_index(\"Drawdown Id\")\n", " .sort_values(\"Value\")\n", ")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'df_drawdowns' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[37], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValley Length\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m=\u001b[39m (\n\u001b[0;32m----> 2\u001b[0m \u001b[43mdf_drawdowns\u001b[49m[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValley Index\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m-\u001b[39m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mStart Index\u001b[39m\u001b[38;5;124m\"\u001b[39m]\n\u001b[1;32m 3\u001b[0m )\n\u001b[1;32m 4\u001b[0m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mRecovery Length\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m 5\u001b[0m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mEnd Index\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m-\u001b[39m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValley Index\u001b[39m\u001b[38;5;124m\"\u001b[39m]\n\u001b[1;32m 6\u001b[0m )\n\u001b[1;32m 7\u001b[0m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mTotal Length\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m=\u001b[39m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mEnd Index\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m-\u001b[39m df_drawdowns[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mStart Index\u001b[39m\u001b[38;5;124m\"\u001b[39m]\n", "\u001b[0;31mNameError\u001b[0m: name 'df_drawdowns' is not defined" ] } ], "source": [ "df_drawdowns[\"Valley Length\"] = (\n", " df_drawdowns[\"Valley Index\"] - df_drawdowns[\"Start Index\"]\n", ")\n", "df_drawdowns[\"Recovery Length\"] = (\n", " df_drawdowns[\"End Index\"] - df_drawdowns[\"Valley Index\"]\n", ")\n", "df_drawdowns[\"Total Length\"] = df_drawdowns[\"End Index\"] - df_drawdowns[\"Start Index\"]\n", "\n", "df_drawdowns" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'df_drawdowns' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[38], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# Prices generally rise slowly (with low volatility), but fall quickly (with high volatility)\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m px\u001b[38;5;241m.\u001b[39mscatter(\u001b[43mdf_drawdowns\u001b[49m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValley Length\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mRecovery Length\u001b[39m\u001b[38;5;124m\"\u001b[39m, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mValue\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n", "\u001b[0;31mNameError\u001b[0m: name 'df_drawdowns' is not defined" ] } ], "source": [ "# Prices generally rise slowly (with low volatility), but fall quickly (with high volatility)\n", "px.scatter(df_drawdowns, \"Valley Length\", \"Recovery Length\", \"Value\")" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'df_drawdowns' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[40], line 5\u001b[0m\n\u001b[1;32m 2\u001b[0m overlaps \u001b[38;5;241m=\u001b[39m []\n\u001b[1;32m 4\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m idx_recession, row_recession \u001b[38;5;129;01min\u001b[39;00m df_usrec_stats\u001b[38;5;241m.\u001b[39miterrows():\n\u001b[0;32m----> 5\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m idx_drawdown, row_drawdown \u001b[38;5;129;01min\u001b[39;00m \u001b[43mdf_drawdowns\u001b[49m\u001b[38;5;241m.\u001b[39miterrows():\n\u001b[1;32m 6\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m (row_drawdown[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mStart Index\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m<\u001b[39m\u001b[38;5;241m=\u001b[39m row_recession[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mEnd Date\u001b[39m\u001b[38;5;124m\"\u001b[39m]) \u001b[38;5;241m&\u001b[39m (\n\u001b[1;32m 7\u001b[0m row_drawdown[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mEnd Index\u001b[39m\u001b[38;5;124m\"\u001b[39m] \u001b[38;5;241m>\u001b[39m\u001b[38;5;241m=\u001b[39m row_recession[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mStart Date\u001b[39m\u001b[38;5;124m\"\u001b[39m]\n\u001b[1;32m 8\u001b[0m ):\n\u001b[1;32m 9\u001b[0m overlaps\u001b[38;5;241m.\u001b[39mappend(\n\u001b[1;32m 10\u001b[0m (\n\u001b[1;32m 11\u001b[0m idx_recession,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 17\u001b[0m )\n\u001b[1;32m 18\u001b[0m )\n", "\u001b[0;31mNameError\u001b[0m: name 'df_drawdowns' is not defined" ] } ], "source": [ "# An overlap occured if the start or end of one period is between the start and end of another.\n", "overlaps = []\n", "\n", "for idx_recession, row_recession in df_usrec_stats.iterrows():\n", " for idx_drawdown, row_drawdown in df_drawdowns.iterrows():\n", " if (row_drawdown[\"Start Index\"] <= row_recession[\"End Date\"]) & (\n", " row_drawdown[\"End Index\"] >= row_recession[\"Start Date\"]\n", " ):\n", " overlaps.append(\n", " (\n", " idx_recession,\n", " idx_drawdown,\n", " row_recession[\"Start Date\"],\n", " row_recession[\"End Date\"],\n", " row_drawdown[\"Start Index\"],\n", " row_drawdown[\"End Index\"],\n", " )\n", " )\n", "\n", "df_overlaps = pd.DataFrame(\n", " overlaps,\n", " columns=[\n", " \"Recession ID\",\n", " \"Drawdown ID\",\n", " \"Recession Start Date\",\n", " \"Recession End Date\",\n", " \"Drawdown Start Date\",\n", " \"Drawdown End Date\",\n", " ],\n", ").sort_values([\"Recession Start Date\", \"Drawdown Start Date\"])\n", "\n", "df_overlaps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## An Experiment\n", "\n", "If you could perfectly time the top 5 crashes (or recessions) in the last 50 years, what would your returns be?\n", "\n", "If you want to beat the index, then a good place to start is with the index. Just like a baseball player, **you don't have to swing at every pitch**. That is, you can choose to trade only when you know something with certainty. **You don't have to play.** You can simply buy the index and make a few high conviction trades a year.\n", "\n", "What's more, if you restrict yourself to only high quality ideas, then you uncover a special case. If you think you know what the price is going to be and when, then you know how to structure the trade to maximise your profit.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# df_top_drawdowns = df_drawdowns[:5] # crashes\n", "df_top_drawdowns = df_drawdowns[df_drawdowns.index.isin(df_overlaps[\"Drawdown ID\"])][\n", " :5\n", "] # recessions\n", "\n", "df_top_drawdowns" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "perfect_exits = data.index.isin(df_top_drawdowns[\"Start Index\"])\n", "perfect_entries = data.index.isin(df_top_drawdowns[\"Valley Index\"])\n", "\n", "perfect_entries[0] = True\n", "\n", "perfect_entries" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "pf = vbt.Portfolio.from_signals(\n", " # to eliminate weekends\n", " close=sr_gspc_close.ffill().bfill(),\n", " entries=perfect_entries,\n", " exits=perfect_exits,\n", " direction=\"both\",\n", " fees=0.001,\n", " size=1.0,\n", " size_type=vbt.pf_enums.SizeType.ValuePercent,\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pf.plot(yaxis=dict(type=\"log\")).show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pf.drawdowns.plot(yaxis=dict(type=\"log\")).show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "pf.plot_underwater(pct_scale=True).show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## US Unemployment Rate\n", "\n", "File downloaded from FRED as CSV.\n", "\n", "- https://www.bls.gov\n", "- https://fred.stlouisfed.org/series/UNRATE\n", "\n", "### Ingestion\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "df_unrate = pd.read_csv(\"data/raw/fred/UNRATE.csv\")\n", "\n", "df_unrate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cleaning\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "df_unrate = df_unrate.rename(columns={\"DATE\": \"Date\"})\n", "\n", "df_unrate[\"Date\"] = pd.to_datetime(df_unrate[\"Date\"], utc=True)\n", "\n", "df_unrate = df_unrate.set_index(\"Date\")\n", "\n", "df_unrate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analysis\n", "\n", "Let's see if I can get stumpy to identify the unemployment rate spiking.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig = vbt.make_figure()\n", "\n", "fig = plot_recessions(fig, df_unrate, df_usrec_stats)\n", "\n", "df_unrate.vbt.plot(fig=fig).show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Compute the Pan Matrix Profile\n", "\n", "- https://github.com/TDAmeritrade/stumpy/blob/05cfc5218c8b0a5bc2c774832c5cfe0199e74e34/docs/Tutorial_Pan_Matrix_Profile.ipynb\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "df_unrate" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "max_m = 60\n", "min_m = 1\n", "\n", "# The percentage of the full matrix profile to compute for each subsequence window size (the extent of `stumpy.scrump` completion).\n", "percentage = 1\n", "\n", "pan_matrix_profile = stumpy.stimp(\n", " df_unrate[\"UNRATE\"], min_m=min_m, max_m=max_m, percentage=percentage\n", ")\n", "\n", "n = np.ceil((max_m - min_m) * percentage).astype(int)\n", "\n", "for _ in range(n):\n", " pan_matrix_profile.update()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'pan_matrix_profile' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[41], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m fig \u001b[38;5;241m=\u001b[39m vbt\u001b[38;5;241m.\u001b[39mmake_figure()\n\u001b[1;32m 3\u001b[0m fig\u001b[38;5;241m.\u001b[39madd_trace(go\u001b[38;5;241m.\u001b[39mHeatmap(\n\u001b[0;32m----> 4\u001b[0m z\u001b[38;5;241m=\u001b[39m\u001b[43mpan_matrix_profile\u001b[49m\u001b[38;5;241m.\u001b[39mPAN_,\n\u001b[1;32m 5\u001b[0m colorscale\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mGreys\u001b[39m\u001b[38;5;124m'\u001b[39m,\n\u001b[1;32m 6\u001b[0m zmin\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0.0\u001b[39m,\n\u001b[1;32m 7\u001b[0m zmax\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1.0\u001b[39m,\n\u001b[1;32m 8\u001b[0m reversescale\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mTrue\u001b[39;00m,\n\u001b[1;32m 9\u001b[0m ))\n\u001b[1;32m 11\u001b[0m fig\u001b[38;5;241m.\u001b[39mupdate_layout(\n\u001b[1;32m 12\u001b[0m title_text\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mPan Matrix Profile\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m 13\u001b[0m xaxis\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mdict\u001b[39m(title\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mDate\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m 14\u001b[0m yaxis\u001b[38;5;241m=\u001b[39m\u001b[38;5;28mdict\u001b[39m(title\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mm\u001b[39m\u001b[38;5;124m\"\u001b[39m),\n\u001b[1;32m 15\u001b[0m )\n\u001b[1;32m 17\u001b[0m fig\u001b[38;5;241m.\u001b[39mshow()\n", "\u001b[0;31mNameError\u001b[0m: name 'pan_matrix_profile' is not defined" ] } ], "source": [ "fig = vbt.make_figure()\n", "\n", "fig.add_trace(go.Heatmap(\n", " z=pan_matrix_profile.PAN_,\n", " colorscale='Greys',\n", " zmin=0.0,\n", " zmax=1.0,\n", " reversescale=True,\n", "))\n", "\n", "fig.update_layout(\n", " title_text=\"Pan Matrix Profile\",\n", " xaxis=dict(title=\"Date\"),\n", " yaxis=dict(title=\"m\"),\n", ")\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Compute the Matrix Profile\n", "\n", "- https://stumpy.readthedocs.io/en/latest/Tutorial_STUMPY_Basics.html\n" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'df_unrate' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[42], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m m \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m60\u001b[39m\n\u001b[0;32m----> 3\u001b[0m mp \u001b[38;5;241m=\u001b[39m stumpy\u001b[38;5;241m.\u001b[39mstump(\u001b[43mdf_unrate\u001b[49m[\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mUNRATE\u001b[39m\u001b[38;5;124m\"\u001b[39m], m)\n", "\u001b[0;31mNameError\u001b[0m: name 'df_unrate' is not defined" ] } ], "source": [ "m = 60\n", "\n", "mp = stumpy.stump(df_unrate[\"UNRATE\"], m)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'mp' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[43], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m motif_idx \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39margsort(\u001b[43mmp\u001b[49m[:, \u001b[38;5;241m0\u001b[39m])[\u001b[38;5;241m0\u001b[39m]\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28mprint\u001b[39m(\u001b[38;5;124mf\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mThe motif is located at index \u001b[39m\u001b[38;5;132;01m{\u001b[39;00mmotif_idx\u001b[38;5;132;01m}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m)\n", "\u001b[0;31mNameError\u001b[0m: name 'mp' is not defined" ] } ], "source": [ "motif_idx = np.argsort(mp[:, 0])[0]\n", "\n", "print(f\"The motif is located at index {motif_idx}\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "nearest_neighbor_idx = mp[motif_idx, 1]\n", "\n", "print(f\"The nearest neighbor is located at index {nearest_neighbor_idx}\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig = vbt.make_subplots(\n", " rows=2,\n", " cols=1,\n", " shared_xaxes=True,\n", " vertical_spacing=0.02,\n", " subplot_titles=[\"UNRATE\", \"Matrix Profile\"],\n", ")\n", "\n", "# Plot the US unemployment rate:\n", "fig.add_trace(\n", " go.Scatter(\n", " x=df_unrate.index, y=df_unrate[\"UNRATE\"].values, mode=\"lines\", name=\"UNRATE\"\n", " ),\n", " row=1,\n", " col=1,\n", ")\n", "\n", "# Plot the motif and nearest neighbors as vertical rectangles:\n", "fig.add_vrect(\n", " x0=df_unrate.index[motif_idx],\n", " x1=df_unrate.index[motif_idx + m],\n", " fillcolor=\"green\",\n", " opacity=0.2,\n", " line_width=0,\n", " row=1,\n", " col=1,\n", ")\n", "\n", "for i in range(len(mp[motif_idx]) - 2):\n", " fig.add_vrect(\n", " x0=df_unrate.index[mp[motif_idx, i + 1]],\n", " x1=df_unrate.index[mp[motif_idx, i + 1] + m],\n", " fillcolor=\"red\",\n", " opacity=0.2,\n", " line_width=0,\n", " row=1,\n", " col=1,\n", " )\n", "\n", "\n", "# Plot the matrix profile:\n", "fig.add_trace(\n", " go.Scatter(x=df_unrate.index, y=mp[:, 0], mode=\"lines\", name=\"Matrix Profile\"),\n", " row=2,\n", " col=1,\n", ")\n", "\n", "# Plot the motif and nearest neighbours as vertical dashed lines:\n", "fig.add_vline(\n", " x=df_unrate.index[motif_idx], # nearest_neighbor_idx\n", " line=dict(color=\"green\", dash=\"dash\"),\n", " row=2,\n", " col=1,\n", ")\n", "\n", "for i in range(len(mp[motif_idx]) - 2):\n", " fig.add_vline(\n", " x=df_unrate.index[mp[motif_idx, i + 1]], # nearest_neighbor_idx\n", " line=dict(color=\"red\", dash=\"dash\"),\n", " row=2,\n", " col=1,\n", " )\n", "\n", "\n", "\n", "fig.update_layout(\n", " title_text=\"Motif (Pattern) Discovery\",\n", " yaxis=dict(title_text=\"UNRATE\"),\n", " yaxis2=dict(title_text=\"Matrix Profile\"),\n", " xaxis2=dict(title_text=\"Date\"),\n", " showlegend=False,\n", ")\n", "\n", "fig = plot_recessions(fig, df_unrate, df_usrec_stats)\n", "\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "discord_idx = np.argsort(mp[:, 0])[-1]\n", "\n", "print(f\"The discord is located at index {discord_idx}\")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "nearest_neighbor_distance = mp[discord_idx, 0]\n", "\n", "print(\n", " f\"The nearest neighbor subsequence to this discord is {nearest_neighbor_distance} units away\"\n", ")" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig = vbt.make_subplots(\n", " rows=2,\n", " cols=1,\n", " shared_xaxes=True,\n", " vertical_spacing=0.02,\n", " subplot_titles=[\"UNRATE\", \"Matrix Profile\"],\n", ")\n", "\n", "# Plot the US unemployment rate:\n", "fig.add_trace(\n", " go.Scatter(\n", " x=df_unrate.index, y=df_unrate[\"UNRATE\"].values, mode=\"lines\", name=\"UNRATE\"\n", " ),\n", " row=1,\n", " col=1,\n", ")\n", "\n", "# Plot the discord as a vertical rectangle:\n", "fig.add_vrect(\n", " x0=df_unrate.index[discord_idx],\n", " x1=df_unrate.index[discord_idx + m],\n", " fillcolor=\"green\",\n", " opacity=0.2,\n", " line_width=0,\n", " row=1,\n", " col=1,\n", ")\n", "\n", "\n", "# Plot the matrix profile:\n", "fig.add_trace(\n", " go.Scatter(x=df_unrate.index, y=mp[:, 0], mode=\"lines\", name=\"Matrix Profile\"),\n", " row=2,\n", " col=1,\n", ")\n", "\n", "# Plot the discord as a vertical dashed line:\n", "fig.add_vline(\n", " x=df_unrate.index[discord_idx],\n", " line=dict(color=\"green\", dash=\"dash\"),\n", " row=2,\n", " col=1,\n", ")\n", "\n", "\n", "fig.update_layout(\n", " title_text=\"Discord (Anomaly/Novelty) Discovery\",\n", " yaxis=dict(title_text=\"UNRATE\"),\n", " yaxis2=dict(title_text=\"Matrix Profile\"),\n", " xaxis2=dict(title_text=\"Date\"),\n", " showlegend=False,\n", ")\n", "\n", "fig = plot_recessions(fig, df_unrate, df_usrec_stats)\n", "\n", "fig.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Time Series Chains\n", "\n", "- https://stumpy.readthedocs.io/en/latest/Tutorial_Time_Series_Chains.html\n" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "all_chain_set, unanchored_chain = stumpy.allc(mp[:, 2], mp[:, 3])" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig = vbt.make_figure()\n", "\n", "# Plot the US unemployment rate:\n", "fig.add_trace(\n", " go.Scatter(\n", " x=df_unrate.index, y=df_unrate[\"UNRATE\"].values, mode=\"lines\", name=\"UNRATE\"\n", " )\n", ")\n", "\n", "for i in range(unanchored_chain.shape[0]):\n", " y = df_unrate[\"UNRATE\"].iloc[unanchored_chain[i] : unanchored_chain[i] + m]\n", " x = y.index.values\n", "\n", " fig.add_trace(go.Scatter(x=x, y=y, mode=\"lines\", line=dict(width=3)))\n", "\n", "fig.update_layout(\n", " title_text=\"Unanchored Chain\",\n", " xaxis=dict(title_text=\"Date\"),\n", " yaxis=dict(title_text=\"UNRATE\"),\n", " showlegend=False,\n", ")\n", "\n", "fig = plot_recessions(fig, df_unrate, df_usrec_stats)\n", "\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.10.11" } }, "nbformat": 4, "nbformat_minor": 2 }