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@mra1385
Created February 6, 2018 04:11
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S&P 500 Returns vs. Real GDP Growth
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"#import modules\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.ticker as tkr\n",
"import matplotlib.dates as mdates\n",
"import seaborn as sns\n",
"sns.set(style=\"white\", color_codes=True)\n",
"from datetime import datetime\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# local file path for dataset downloaded from Kaggle\n",
"file_path = '/Users/mazar/Desktop/Personal/chart-it/Posts/stocks v gdp/GDP & S&P.csv'"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# create dataframe with data set\n",
"df = pd.read_csv(file_path, index_col = 0)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['GDPCA_PC1', 'S&P Returns'], dtype='object')"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.columns"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"df.columns = ['GDP Growth', 'S&P Returns']"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"df.dropna(inplace = True)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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1ACq5KjgAyBVQsyoovV+rvCFgLPOrN538ACunfmnYr2PBd85wzx3NGkM9duCxwd9/+dCb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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1f7e7ccd198>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set_style(\"white\")\n",
"\n",
"ax = sns.jointplot(y=\"GDP Growth\", x=\"S&P Returns\", data=df, color='g', size=6, \n",
" annot_kws=dict(stat=\"correlation\", loc=4), ratio=5, \n",
" marginal_kws=dict(bins=20, rug=True), \n",
" kind='reg', ylim=(-20,20), xlim=(-50,50))\n",
"\n",
"ax.ax_joint.plot([-100,100], [0,0], 'b-', linewidth = 1, color='grey')\n",
"ax.ax_joint.plot([0,0], [-100,100], 'b-', linewidth = 1, color='grey')\n",
"plt.xlabel(\"S&P Annual Returns (pct)\")\n",
"plt.ylabel (\"Real Annual GDP Growth (pct)\")\n",
"\n",
"plt.text(-75, -27, \"From: chart-it (MikeRAzar.com/chart-it) | Source: Federal Reserve Bank of St. Louis; NYU Stern\", \n",
" fontsize=12) \n",
"\n",
"plt.savefig('/Users/mazar/Desktop/Personal/chart-it/Posts/stocks v gdp/returns.png', dpi=200, orientation='landscape',\n",
" bbox_inches='tight', pad_inches=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"df[\"GDP Growth Next Year\"] = df[\"GDP Growth\"].shift(-1)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>GDP Growth</th>\n",
" <th>S&amp;P Returns</th>\n",
" <th>GDP Growth Next Year</th>\n",
" </tr>\n",
" <tr>\n",
" <th>DATE</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1/1/1930</th>\n",
" <td>-8.50888</td>\n",
" <td>-25.123636</td>\n",
" <td>-6.39505</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1/1/1931</th>\n",
" <td>-6.39505</td>\n",
" <td>-43.837549</td>\n",
" <td>-12.88974</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1/1/1932</th>\n",
" <td>-12.88974</td>\n",
" <td>-8.642365</td>\n",
" <td>-1.25906</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1/1/1933</th>\n",
" <td>-1.25906</td>\n",
" <td>49.982225</td>\n",
" <td>10.78338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1/1/1934</th>\n",
" <td>10.78338</td>\n",
" <td>-1.188566</td>\n",
" <td>8.90831</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" GDP Growth S&P Returns GDP Growth Next Year\n",
"DATE \n",
"1/1/1930 -8.50888 -25.123636 -6.39505\n",
"1/1/1931 -6.39505 -43.837549 -12.88974\n",
"1/1/1932 -12.88974 -8.642365 -1.25906\n",
"1/1/1933 -1.25906 49.982225 10.78338\n",
"1/1/1934 10.78338 -1.188566 8.90831"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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NWK+dyhijnTvy2Pjnn9n7Er6z4voxx5/Z+xJyNFkY8djwnRXXxxT3VNeN9KcvXsD3zvzn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\nSCa7uv5i8CyPlw6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Da2srvvvd7+K9994DzyvyR0fIjIlnWkaSJPhEAV92H8JfD/8j3Buh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\nINC38LtqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1f7e9c1c4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set_style(\"white\")\n",
"\n",
"ax = sns.jointplot(y=\"GDP Growth Next Year\", x=\"S&P Returns\", data=df, color='g', size=6, \n",
" annot_kws=dict(stat=\"correlation\", loc=4), ratio=5, \n",
" marginal_kws=dict(bins=20, rug=True), \n",
" kind='reg', ylim=(-20,20), xlim=(-50,50), ci=95)\n",
"\n",
"ax.ax_joint.plot([-100,100], [0,0], 'b-', linewidth = 1, color='grey')\n",
"ax.ax_joint.plot([0,0], [-100,100], 'b-', linewidth = 1, color='grey')\n",
"plt.xlabel(\"S&P Annual Returns (pct)\")\n",
"plt.ylabel (\"Following Year's Real GDP Growth (pct)\")\n",
"\n",
"plt.text(-75, -27, \"From: chart-it (MikeRAzar.com/chart-it) | Source: Federal Reserve Bank of St. Louis; NYU Stern\", \n",
" fontsize=12) \n",
"\n",
"plt.savefig('/Users/mazar/Desktop/Personal/chart-it/Posts/stocks v gdp/returns_offset.png', dpi=200, orientation='landscape',\n",
" bbox_inches='tight', pad_inches=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"88"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(df)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 12\n",
"S&P Returns 12\n",
"GDP Growth Next Year 12\n",
"dtype: int64"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] > 0) & (df['GDP Growth'] < 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 17\n",
"S&P Returns 17\n",
"GDP Growth Next Year 17\n",
"dtype: int64"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] < 0) & (df['GDP Growth'] > 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 6\n",
"S&P Returns 6\n",
"GDP Growth Next Year 6\n",
"dtype: int64"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] < 0) & (df['GDP Growth'] < 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 53\n",
"S&P Returns 53\n",
"GDP Growth Next Year 52\n",
"dtype: int64"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] > 0) & (df['GDP Growth'] > 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"87"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['GDP Growth Next Year'].count()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 5\n",
"S&P Returns 5\n",
"GDP Growth Next Year 5\n",
"dtype: int64"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] > 0) & (df[\"GDP Growth Next Year\"] < 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 11\n",
"S&P Returns 11\n",
"GDP Growth Next Year 11\n",
"dtype: int64"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] < 0) & (df[\"GDP Growth Next Year\"] > 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 12\n",
"S&P Returns 12\n",
"GDP Growth Next Year 12\n",
"dtype: int64"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] < 0) & (df[\"GDP Growth Next Year\"] < 0)].count()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GDP Growth 59\n",
"S&P Returns 59\n",
"GDP Growth Next Year 59\n",
"dtype: int64"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[(df['S&P Returns'] > 0) & (df[\"GDP Growth Next Year\"] > 0)].count()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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