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Vector Auto Regression with Statsmodels to predict the stock of Safe Assets in the U.S. Economy
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from pandas import DataFrame, Series\n",
"from scipy import stats\n",
"import statsmodels.api as sm\n",
"import statsmodels.tsa as tsa\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.gridspec as gridspec\n",
"import datetime as dt\n",
"import seaborn as sb"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"periods = pd.period_range('1986-01-01', periods=107, freq='Q')\n",
"tstamp = pd.to_datetime(pd.Series(periods))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"safe_assets = pd.read_csv('/Users/bozhidarhristov/Documents/Magisterska/Data/Data.csv')\n",
"safe_assets.index = tstamp\n",
"safe_assets.drop(['Time Period'], inplace=True, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Safe Assets</th>\n",
" <th>10yT</th>\n",
" <th>NGDP</th>\n",
" <th>RGDP</th>\n",
" <th>Risk Premia</th>\n",
" <th>Unemployment</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td> 107.000000</td>\n",
" <td> 107.000000</td>\n",
" <td> 107.000000</td>\n",
" <td> 107.000000</td>\n",
" <td> 107.000000</td>\n",
" <td> 107.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td> 17805869.463551</td>\n",
" <td> 5.622056</td>\n",
" <td> 9916.499065</td>\n",
" <td> 11763.951402</td>\n",
" <td> 0.996729</td>\n",
" <td> 6.045794</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td> 9790556.172215</td>\n",
" <td> 1.950177</td>\n",
" <td> 3624.894676</td>\n",
" <td> 2486.180155</td>\n",
" <td> 0.403903</td>\n",
" <td> 1.527378</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td> 5245853.000000</td>\n",
" <td> 1.650000</td>\n",
" <td> 4516.300000</td>\n",
" <td> 7775.800000</td>\n",
" <td> 0.550000</td>\n",
" <td> 3.900000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td> 9921073.800000</td>\n",
" <td> 4.090000</td>\n",
" <td> 6642.000000</td>\n",
" <td> 9349.900000</td>\n",
" <td> 0.735000</td>\n",
" <td> 5.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td> 14698919.700000</td>\n",
" <td> 5.580000</td>\n",
" <td> 9561.500000</td>\n",
" <td> 11967.700000</td>\n",
" <td> 0.900000</td>\n",
" <td> 5.600000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td> 27183548.100000</td>\n",
" <td> 7.215000</td>\n",
" <td> 13516.550000</td>\n",
" <td> 14364.450000</td>\n",
" <td> 1.180000</td>\n",
" <td> 6.900000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td> 37616806.000000</td>\n",
" <td> 9.630000</td>\n",
" <td> 16356.000000</td>\n",
" <td> 15534.000000</td>\n",
" <td> 3.380000</td>\n",
" <td> 9.900000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Safe Assets 10yT NGDP RGDP Risk Premia \\\n",
"count 107.000000 107.000000 107.000000 107.000000 107.000000 \n",
"mean 17805869.463551 5.622056 9916.499065 11763.951402 0.996729 \n",
"std 9790556.172215 1.950177 3624.894676 2486.180155 0.403903 \n",
"min 5245853.000000 1.650000 4516.300000 7775.800000 0.550000 \n",
"25% 9921073.800000 4.090000 6642.000000 9349.900000 0.735000 \n",
"50% 14698919.700000 5.580000 9561.500000 11967.700000 0.900000 \n",
"75% 27183548.100000 7.215000 13516.550000 14364.450000 1.180000 \n",
"max 37616806.000000 9.630000 16356.000000 15534.000000 3.380000 \n",
"\n",
" Unemployment \n",
"count 107.000000 \n",
"mean 6.045794 \n",
"std 1.527378 \n",
"min 3.900000 \n",
"25% 5.000000 \n",
"50% 5.600000 \n",
"75% 6.900000 \n",
"max 9.900000 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"safe_assets.describe()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"sa = safe_assets['Safe Assets']\n",
"ten_y = safe_assets['10yT']\n",
"ngdp = safe_assets['NGDP']\n",
"rgdp = safe_assets['RGDP']\n",
"rp = safe_assets['Risk Premia']\n",
"unemp = safe_assets['Unemployment']\n",
"\n",
"diff = safe_assets.diff(periods=1).dropna()\n",
"periods_diff = pd.period_range('1986Q2', periods=106, freq='Q')\n",
"diff.index = periods_diff"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
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"k7HSB/+paVru+sn7gGdyCjvtBN7I6fNnsD7UbFiFof5cFVyO8+KdUX/LMS6iSMYVsSdji9iScUVs\n",
"yLgi9mRsEQGKacrxJoQQQgghhBBCiPgmS0iEEEIIIYQQQggR9ySAIYQQQgghhBBCiLgnAQwhhBBC\n",
"CCGEEELEPQlgCCGEEEIIIYQQIu5JAEMIIYQQQgghhBBxTwIYQgghhBBCCCGEiHsSwBBCCCGEEEII\n",
"IUTckwCGEEIIIYQQQggh4t7/A3lLABL6291qAAAAAElFTkSuQmCC\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x10858abd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = safe_assets.plot(x=tstamp, subplots=True, layout=(3, 2), figsize=(15, 12), sharex=False, color='b')\n",
"plt.tight_layout()\n",
"fig = plt.gcf()\n",
"#plt.savefig('output_hq.png')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[<matplotlib.axes._subplots.AxesSubplot object at 0x10a37bc90>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x10a3e6ad0>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x10a35b990>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x10aadf950>],\n",
" [<matplotlib.axes._subplots.AxesSubplot object at 0x10ab5dc90>,\n",
" <matplotlib.axes._subplots.AxesSubplot object at 0x10a49cdd0>]], dtype=object)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x10a37b690>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"diff.plot(x=periods_diff, subplots=True, layout=(3, 2), figsize=(15, 12), sharex=False, color='b')\n",
"#plt.savefig('first_differences.png')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-11.869409539972878,\n",
" 3.4582879275004734e-19,\n",
" 1,\n",
" 104,\n",
" {'1%': -4.4861636344660329,\n",
" '10%': -3.5889943328615725,\n",
" '5%': -3.8904355016784251},\n",
" 3081.8302012400372)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adf_sa = sm.tsa.stattools.adfuller(diff['Safe Assets'], 4, regression='ctt')\n",
"adf_sa"
]
},
{
"cell_type": "code",
"execution_count": 151,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-8.8233684244030481,\n",
" 9.1314472184733194e-13,\n",
" 1,\n",
" 104,\n",
" {'1%': -4.0485666301704031,\n",
" '10%': -3.1522943225136553,\n",
" '5%': -3.4535811509302454},\n",
" 168.49574217435753)"
]
},
"execution_count": 151,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adf_ten_y = ts.stattools.adfuller(diff['10yT'], 4, regression='ct')\n",
"adf_ten_y"
]
},
{
"cell_type": "code",
"execution_count": 153,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-4.0487046062797676,\n",
" 0.0074890253246478848,\n",
" 1,\n",
" 104,\n",
" {'1%': -4.0485666301704031,\n",
" '10%': -3.1522943225136553,\n",
" '5%': -3.4535811509302454},\n",
" 1137.5540684003645)"
]
},
"execution_count": 153,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adf_ngdp = ts.stattools.adfuller(diff['NGDP'], 4, regression='ct')\n",
"adf_ngdp"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-4.4109450710139679,\n",
" 0.0021033058824719529,\n",
" 1,\n",
" 104,\n",
" {'1%': -4.0485666301704031,\n",
" '10%': -3.1522943225136553,\n",
" '5%': -3.4535811509302454},\n",
" 1151.1770936644309)"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adf_rgdp = ts.stattools.adfuller(diff['RGDP'], 4, regression='ct')\n",
"adf_rgdp"
]
},
{
"cell_type": "code",
"execution_count": 155,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-11.869409539972878,\n",
" 3.4582879275004734e-19,\n",
" 1,\n",
" 104,\n",
" {'1%': -4.4861636344660329,\n",
" '10%': -3.5889943328615725,\n",
" '5%': -3.8904355016784251},\n",
" 3081.8302012400372)"
]
},
"execution_count": 155,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adf_rp = ts.stattools.adfuller(diff['Risk Premia'], 4, regression='c')\n",
"adf"
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-3.8385933646425614,\n",
" 0.0025362383602531252,\n",
" 1,\n",
" 104,\n",
" {'1%': -3.4948504603223145,\n",
" '10%': -2.5818220155325444,\n",
" '5%': -2.889758398668639},\n",
" 22.579754489622928)"
]
},
"execution_count": 157,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"adf_unemp = ts.stattools.adfuller(diff['Unemployment'], 4, regression='c')\n",
"adf_unemp"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" VAR Order Selection \n",
"======================================================\n",
" aic bic fpe hqic\n",
"------------------------------------------------------\n",
"0 36.70 36.87 8.712e+15 36.77\n",
"1 34.93 36.08 1.480e+15 35.39\n",
"2 34.82 36.95 1.335e+15 35.68\n",
"3 34.97 38.09 1.588e+15 36.23\n",
"4 35.12 39.23 1.937e+15 36.78\n",
"5 35.00 40.10 1.874e+15 37.06\n",
"6 35.03 41.12 2.184e+15 37.49\n",
"7 34.97 42.04 2.460e+15 37.82\n",
"8 34.44 42.50 1.891e+15 37.69\n",
"9 33.85 42.90 1.514e+15 37.50\n",
"10 33.08 43.12 1.183e+15 37.13\n",
"11 32.44 43.46 1.304e+15 36.89\n",
"12 31.12 43.12 1.025e+15 35.96\n",
"13 29.42 42.42 1.042e+15 34.67\n",
"14 21.73* 35.71* 1.097e+13* 27.37*\n",
"======================================================\n",
"* Minimum\n",
"\n"
]
},
{
"data": {
"text/plain": [
"{'aic': 14, 'bic': 14, 'fpe': 14, 'hqic': 14}"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"model = sm.tsa.VAR(diff)\n",
"model.select_order(14)"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Create a new index and column names for the forecasts\n",
"periodsaic = pd.period_range('2012Q4', periods=8, freq='Q')\n",
"tstampaic = pd.to_datetime(pd.Series(periodsaic))\n",
"columns = list(safe_assets.columns.values)\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# AIC Forecast for the next 8 periods, or 2 years\n",
"\n",
"resaic = model.fit(maxlags=14, ic='aic')\n",
"#resaic.summary()\n",
"\n",
"lag_order = resaic.k_ar\n",
"fcstaic = resaic.forecast(diff.values[-lag_order:], 8)\n",
"\n",
"#fcstaic = pd.DataFrame(fcstaic)\n",
"#fcstaic.index = tstampaic\n",
"#fcstaic.columns = columns\n",
"#fcstaic.to_csv('AICForecast.csv')"
]
},
{
"cell_type": "code",
"execution_count": 159,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# BIC Forecast for the next 8 periods, or 2 years\n",
"\n",
"resbic = model.fit(maxlags=1, ic='bic')\n",
"#resbic.summary()\n",
"\n",
"lag_order = resbic.k_ar\n",
"fcstbic = resbic.forecast(diff.values[-lag_order:], 8)\n",
"\n",
"fcstbic = pd.DataFrame(fcstaic)\n",
"fcstbic.index = tstampaic\n",
"fcstbic.columns = columns"
]
},
{
"cell_type": "code",
"execution_count": 168,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fcstaic = pd.read_csv('/Users/bozhidarhristov/Documents/Magisterska/Data/AICForecast.csv', index_col=0)\n",
"piecesaic = [diff, fcstaic]\n",
"diffaic = pd.concat(piecesaic)"
]
},
{
"cell_type": "code",
"execution_count": 169,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"fcstbic = pd.read_csv('/Users/bozhidarhristov/Documents/Magisterska/Data/BICForecast.csv', index_col=0)\n",
"piecesbic = [diff,fcstbic]\n",
"diffbic = pd.concat(piecesbic)"
]
},
{
"cell_type": "code",
"execution_count": 177,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"saaic = DataFrame(diffaic['Safe Assets'])\n",
"sabic = DataFrame(diffbic['Safe Assets'])\n",
"piecessa = [saaic, sabic]\n",
"safcst = pd.merge(saaic, sabic, left_index=True, right_index=True)\n",
"safcst.columns = ['Safe Assets AIC', 'Safe Assets BIC']"
]
},
{
"cell_type": "code",
"execution_count": 105,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#plt.figure()\n",
"#safcst.plot(figsize=(8,10))\n",
"#plt.tight_layout()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"dynvarrol = tsa.vector_ar.dynamic.DynamicVAR(diff, lag_order=1, trend='ctt', window=8, window_type='rolling')\n",
"rollingforecast = dynvarrol.forecast(steps=1)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x1087b7110>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
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"+T9yEb9/Tn6/SgAAAABJRU5ErkJggg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x108788ad0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sadiff = diff['Safe Assets']\n",
"sa_diff = pd.DataFrame(sadiff)\n",
"dynvarexp = tsa.vector_ar.dynamic.DynamicVAR(sa_diff, lag_order=14, trend='ctt', window=1, window_type='expanding')\n",
"expandingforecast = dynvarexp.forecast(steps=1)\n",
"#Not very smart idea\n",
"sadiff1 = pd.DataFrame(sadiff[30:])\n",
"sa_fcst = pd.merge(sadiff1, expandingforecast, left_index=True, right_index=True)\n",
"sa_fcst.columns = ['Safe Assets', 'Dynamic Expanding Forecast']\n",
"sa_fcst.plot()\n",
"#plt.savefig('DynamicExpandingForecastonDifferencesWith14lags.png')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2542513503520.7085"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"samse = mean_squared_error(sadiff1, expandingforecast)\n",
"samse"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x1093cb090>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sarp = diff[['Safe Assets', '10yT']]\n",
"dynvarexp = tsa.vector_ar.dynamic.DynamicVAR(sarp, lag_order=14, trend='ctt', window=1, window_type='expanding')\n",
"expandingforecast = dynvarexp.forecast(steps=1)\n",
"expandingforecast_ = pd.DataFrame(expandingforecast['Safe Assets'])\n",
"\n",
"sarp_ = pd.DataFrame(sarp[44:])\n",
"sarp_ = pd.DataFrame(sarp_['Safe Assets'])\n",
"\n",
"from sklearn.metrics import mean_squared_error\n",
"samse_ = mean_squared_error(sarp_, expandingforecast_)\n",
"\n",
"sarplot = pd.merge(sarp_, expandingforecast_, left_index=True, right_index=True)\n",
"sarplot.columns = ['Safe Assets', 'Dynamic Expanding Prediction with 10yT Included']\n",
"sarplot.plot(figsize=(13,3))\n",
"\n",
"#plt.savefig('DynamicExpandingForecastonDifferencesWith14lagsWith10yT.png')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x10c5a2b10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sa_ = pd.DataFrame(sa)\n",
"sadiff = diff['Safe Assets']\n",
"dynvarexp_ = tsa.vector_ar.dynamic.DynamicVAR(sa_, lag_order=14, trend='ctt', window=1, window_type='expanding')\n",
"expandingforecast_ = dynvarexp_.forecast(steps=1)\n",
"sa1 = sa_[30:]\n",
"sa_fcst = pd.merge(sa1, expandingforecast_, left_index=True, right_index=True)\n",
"sa_fcst.columns = ['Safe Assets', 'Dynamic Expanding Forecast']\n",
"sa_fcst.plot()\n",
"plt.savefig('DynamicExpandingForecastNonStationaryDataWith14lags.png')"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Forecast on Differences is a Better Predictor\n"
]
}
],
"source": [
"from sklearn.metrics import mean_squared_error\n",
"samse1 = mean_squared_error(sa1, expandingforecast_)\n",
"if samse > samse1:\n",
" print 'Forecast on Differences is a Better Predictor'\n",
"else: 'Forecast on Non-Stationary Data is a Better Predictor'\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x108838d90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sadiff = diff['Safe Assets']\n",
"sa_diff = pd.DataFrame(sadiff)\n",
"dynvarexp = tsa.vector_ar.dynamic.DynamicVAR(sa_diff, lag_order=5, trend='ctt', window=8, window_type='rolling')\n",
"expandingforecast = dynvarexp.forecast(steps=1)\n",
"sadiff = pd.DataFrame(sadiff[30:])\n",
"sa_fcst = pd.merge(sadiff, expandingforecast, left_index=True, right_index=True)\n",
"sa_fcst.columns = ['Safe Assets', 'Dynamic Rolling Forecast']\n",
"sa_fcst.plot(figsize=(1))\n",
"plt.savefig('DynamicRollingForecastonDifferencesWith14lags.png')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "NameError",
"evalue": "name 'sadiff' is not defined",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-7-2ed01085c71d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0msadiff_\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0msadiff\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m43\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0msamserol\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mmean_squared_error\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msadiff_\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mexpandingforecast\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0msamse\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0msamserol\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0;32mprint\u001b[0m \u001b[0;34m'Expanding Forecast is a Better Predictor'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0;34m'Rolling Forecast is a better predictor'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;31mNameError\u001b[0m: name 'sadiff' is not defined"
]
}
],
"source": [
"sadiff_ = sadiff[43:]\n",
"samserol = mean_squared_error(sadiff_, expandingforecast)\n",
"if samse > samserol:\n",
" print 'Expanding Forecast is a Better Predictor'\n",
"else: 'Rolling Forecast is a better predictor'"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"51923194320416.461"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"diff_roll = diff[9:]\n",
"mean_squared_error(diff_roll, rollingforecast)"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"292700164511.2998"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"diff_exp = diff[9:]\n",
"mean_squared_error(diff_exp, expandingforecast)"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The Expanding Forecast is a Better Predictor\n"
]
}
],
"source": [
"sadynrol = pd.DataFrame(rollingforecast['Safe Assets'])\n",
"sadynexp = pd.DataFrame(expandingforecast['Safe Assets'])\n",
"\n",
"sadiffrol = pd.DataFrame(diff_roll['Safe Assets'])\n",
"sadiffexp = pd.DataFrame(diff_exp['Safe Assets'])\n",
"\n",
"samserol = mean_squared_error(sadiffrol, sadynrol)\n",
"samseexp = mean_squared_error(sadiffexp, sadynexp)\n",
"\n",
"if samserol > samseexp:\n",
" print 'The Expanding Forecast is a Better Predictor'\n",
"else: 'The Rolling Forecast is a Better Predictor'\n"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"gg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x107cbf050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = res.plot_forecast(6)\n",
"plt.draw()"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"diff.to_csv('sa_diff', sep=',')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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],
"text/plain": [
"<matplotlib.figure.Figure at 0x10d3bcb90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"irf = resaic.irf(8)\n",
"irf.plot(impulse='Safe Assets')\n",
"plt.savefig('Imulse Response to a Positive Shock in Safe Assets')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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