{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cointegration Testing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_This setup code is required to run in an IPython notebook_" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "import warnings\n", "warnings.simplefilter('ignore')\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn\n", "\n", "seaborn.set_style('darkgrid')\n", "plt.rc(\"figure\", figsize=(16, 6))\n", "plt.rc(\"savefig\", dpi=90)\n", "plt.rc(\"font\",family=\"sans-serif\")\n", "plt.rc(\"font\",size=14)" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "We will look at the spot prices of crude oil measured in Cushing, OK for\n", "West Texas Intermediate Crude, and Brent Crude. The underlying data in this\n", "data set come from the [U.S. Energy Information Administration](https://www.eia.gov/)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from arch.data import crude\n", "import numpy as np\n", "data = crude.load()\n", "log_price = np.log(data)\n", "\n", "ax = log_price.plot()\n", "xl = ax.set_xlim(log_price.index.min(), log_price.index.max())" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "We can verify these both of these series appear to contains unit roots\n", "using Augmented Dickey-Fuller tests. The p-values are large indicating\n", "that the null cannot be rejected." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Augmented Dickey-Fuller Results
Test Statistic -1.780
P-value 0.391
Lags 1


Trend: Constant
Critical Values: -3.45 (1%), -2.87 (5%), -2.57 (10%)
Null Hypothesis: The process contains a unit root.
Alternative Hypothesis: The process is weakly stationary." ], "text/plain": [ "\n", "\"\"\"\n", " Augmented Dickey-Fuller Results \n", "=====================================\n", "Test Statistic -1.780\n", "P-value 0.391\n", "Lags 1\n", "-------------------------------------\n", "\n", "Trend: Constant\n", "Critical Values: -3.45 (1%), -2.87 (5%), -2.57 (10%)\n", "Null Hypothesis: The process contains a unit root.\n", "Alternative Hypothesis: The process is weakly stationary.\n", "\"\"\"" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from arch.unitroot import ADF\n", "\n", "ADF(log_price.WTI, trend=\"c\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Augmented Dickey-Fuller Results
Test Statistic -1.655
P-value 0.454
Lags 1


Trend: Constant
Critical Values: -3.45 (1%), -2.87 (5%), -2.57 (10%)
Null Hypothesis: The process contains a unit root.
Alternative Hypothesis: The process is weakly stationary." ], "text/plain": [ "\n", "\"\"\"\n", " Augmented Dickey-Fuller Results \n", "=====================================\n", "Test Statistic -1.655\n", "P-value 0.454\n", "Lags 1\n", "-------------------------------------\n", "\n", "Trend: Constant\n", "Critical Values: -3.45 (1%), -2.87 (5%), -2.57 (10%)\n", "Null Hypothesis: The process contains a unit root.\n", "Alternative Hypothesis: The process is weakly stationary.\n", "\"\"\"" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ADF(log_price.Brent, trend=\"c\")" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "The Engle-Granger test is a 2-step test that first estimates a cross-sectional\n", "regression, and then tests the residuals from this regression using an\n", "Augmented Dickey-Fuller distribution with modified critical values. The cross-sectional regression is\n", "\n", "$$ Y_t = X_t \\beta + D_t \\gamma + \\epsilon_t $$\n", "\n", "where $Y_t$ and $X_t$ combine to contain the set of variables being tested for\n", "cointegration and $D_t$ are a set of deterministic regressors that might include\n", "a constant, a time trend, or a quadratic time trend. The trend is specified using\n", "`trend` as\n", "\n", "* `\"n\"`: No trend\n", "* `\"c\"`: Constant\n", "* `\"ct\"`: Constant and time trend\n", "* `\"ctt\"`: Constant, time and quadratic trends\n", "\n", "Here we assume that that cointegrating relationship is exact so that no\n", "deterministics are needed." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Engle-Granger Cointegration Test
Test Statistic -3.468
P-value 0.007
ADF Lag length 0
Estimated Root ρ (γ+1) 0.939


Trend: Constant
Critical Values: -2.47 (10%), -2.78 (5%), -3.37 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 1" ], "text/plain": [ "Engle-Granger Cointegration Test\n", "Statistic: -3.4676471998477267\n", "P-value: 0.006860702109284017\n", "Null: No Cointegration, Alternative: Cointegration\n", "ADF Lag length: 0\n", "Trend: c\n", "Estimated Root ρ (γ+1): 0.9386946007157646\n", "Distribution Order: 1\n", "ID: 0x270fe656cc8" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from arch.unitroot import engle_granger\n", "\n", "eg_test = engle_granger(log_price.WTI, log_price.Brent, trend=\"n\")\n", "eg_test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `plot` method can be used to plot the model residual. We see that while this appears to be mean 0, it might have a trend in it." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = eg_test.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimated cointegrating vector is exposed through he `cointegrating_vector` property. Here we see it is very close to $[1, -1]$, indicating a simple no-arbitrage relationship." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "WTI 1.000000\n", "Brent -1.000621\n", "dtype: float64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eg_test.cointegrating_vector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can rerun the test with both a constant and a time trend to see how this affects the conclusion. We firmly reject the null of no cointegration even with this alternative assumption." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Engle-Granger Cointegration Test
Test Statistic -5.837
P-value 0.000
ADF Lag length 0
Estimated Root ρ (γ+1) 0.840


Trend: Constant
Critical Values: -3.52 (10%), -3.81 (5%), -4.37 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 1" ], "text/plain": [ "Engle-Granger Cointegration Test\n", "Statistic: -5.836649709141745\n", "P-value: 2.3286206215070492e-05\n", "Null: No Cointegration, Alternative: Cointegration\n", "ADF Lag length: 0\n", "Trend: c\n", "Estimated Root ρ (γ+1): 0.8400729995315472\n", "Distribution Order: 1\n", "ID: 0x270fe6bca08" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eg_test = engle_granger(log_price.WTI, log_price.Brent, trend=\"ct\")\n", "eg_test" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/plain": [ "WTI 1.000000\n", "Brent -0.931769\n", "const -0.296939\n", "trend 0.000185\n", "dtype: float64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eg_test.cointegrating_vector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The residuals are clearly mean zero but show evidence of a structural break around the financial crisis of 2008." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = eg_test.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To investigate the changes in the 2008 financial crisis, we can re-run the test on only the pre-crisis period." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Engle-Granger Cointegration Test
Test Statistic -4.962
P-value 0.000
ADF Lag length 0
Estimated Root ρ (γ+1) 0.825


Trend: Constant
Critical Values: -2.48 (10%), -2.79 (5%), -3.38 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 1" ], "text/plain": [ "Engle-Granger Cointegration Test\n", "Statistic: -4.962489476284803\n", "P-value: 2.054007070920808e-05\n", "Null: No Cointegration, Alternative: Cointegration\n", "ADF Lag length: 0\n", "Trend: c\n", "Estimated Root ρ (γ+1): 0.8246009342909095\n", "Distribution Order: 1\n", "ID: 0x270feb3ae88" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eg_test = engle_granger(log_price[:\"2008\"].WTI, log_price[:\"2008\"].Brent, trend=\"n\")\n", "eg_test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These residuals look quite a bit better although it is possible the break in the cointegrating vector happened around 2005 when oil prices first surged." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = eg_test.plot()\n", "ax = fig.get_axes()[0]\n", "title = ax.set_title(\"Pre-2009 Cointegration Residual\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Phillips-Ouliaris\n", "\n", "The Phillips-Ouliaris tests consists four distinct tests. Two are similar to the Engle-Granger test, only using a Phillips & Perron-like approach replaces the lags in the ADF test with a long-run variance estimator. The other two use variance-ratio like approaches to test. In both cases the test stabilizes when there is no cointegration and diverges due to singularity of the covariance matrix of the I(1) time series when there is cointegration. \n", "\n", "* $Z_t$ - Like PP using the t-stat of the AR(1) coefficient in an AR(1) of the residual from the cross-sectional regression.\n", "* $Z_\\alpha$ - Like PP using $T(\\alpha-1)$ and a bias term from the same AR(1)\n", "* $P_u$ - A univariate variance ratio test. \n", "* $P_z$ - A multivariate variance ratio test.\n", "\n", "The four test statistics all agree on the crude oil data.\n", "\n", "The $Z_t$ and $Z_\\alpha$ test statistics are both based on the quantity $\\gamma=\\rho-1$ from the regression $y_t = d_t \\Delta + \\rho y_{t-1} + \\epsilon_t$. The null is rejected in favor of the alternative when $\\gamma<0$ so that the test statistic is _below_ its critical value." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Phillips-Ouliaris zt Cointegration Test
Test Statistic -5.357
P-value 0.000
Kernel Bartlett
Bandwidth 10.185


Trend: Constant
Critical Values: -3.06 (10%), -3.36 (5%), -3.94 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 3" ], "text/plain": [ "\n", "\"\"\"\n", "Phillips-Ouliaris zt Cointegration Test\n", "=====================================\n", "Test Statistic -5.357\n", "P-value 0.000\n", "Kernel Bartlett\n", "Bandwidth 10.185\n", "-------------------------------------\n", "\n", "Trend: Constant\n", "Critical Values: -3.06 (10%), -3.36 (5%), -3.94 (1%)\n", "Null Hypothesis: No Cointegration\n", "Alternative Hypothesis: Cointegration\n", "Distribution Order: 3\n", "\"\"\"" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from arch.unitroot.cointegration import phillips_ouliaris\n", "\n", "po_zt_test = phillips_ouliaris(log_price.WTI, log_price.Brent, trend=\"c\", test_type=\"Zt\")\n", "po_zt_test.summary()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Phillips-Ouliaris za Cointegration Test
Test Statistic -53.531
P-value 0.000
Kernel Bartlett
Bandwidth 10.185


Trend: Constant
Critical Values: -16.95 (10%), -20.34 (5%), -27.77 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 3" ], "text/plain": [ "\n", "\"\"\"\n", "Phillips-Ouliaris za Cointegration Test\n", "=====================================\n", "Test Statistic -53.531\n", "P-value 0.000\n", "Kernel Bartlett\n", "Bandwidth 10.185\n", "-------------------------------------\n", "\n", "Trend: Constant\n", "Critical Values: -16.95 (10%), -20.34 (5%), -27.77 (1%)\n", "Null Hypothesis: No Cointegration\n", "Alternative Hypothesis: Cointegration\n", "Distribution Order: 3\n", "\"\"\"" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "po_za_test = phillips_ouliaris(log_price.WTI, log_price.Brent, trend=\"c\", test_type=\"Za\")\n", "po_za_test.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The $P_u$ and $P_z$ statistics are variance ratios where under the null the numerator and denominator are balanced and so converge at the same rate. Under the alternative the denominstor convreges to zero and the statistic diverges, so that rejection of the null occcurs when the test statistic is _above_ a critical value." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Phillips-Ouliaris pu Cointegration Test
Test Statistic 102.868
P-value 0.000
Kernel Bartlett
Bandwidth 14.648


Trend: Constant
Critical Values: 27.02 (10%), 32.94 (5%), 46.02 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 2" ], "text/plain": [ "\n", "\"\"\"\n", "Phillips-Ouliaris pu Cointegration Test\n", "=====================================\n", "Test Statistic 102.868\n", "P-value 0.000\n", "Kernel Bartlett\n", "Bandwidth 14.648\n", "-------------------------------------\n", "\n", "Trend: Constant\n", "Critical Values: 27.02 (10%), 32.94 (5%), 46.02 (1%)\n", "Null Hypothesis: No Cointegration\n", "Alternative Hypothesis: Cointegration\n", "Distribution Order: 2\n", "\"\"\"" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "po_pu_test = phillips_ouliaris(log_price.WTI, log_price.Brent, trend=\"c\", test_type=\"Pu\")\n", "po_pu_test.summary()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Phillips-Ouliaris pz Cointegration Test
Test Statistic 114.601
P-value 0.000
Kernel Bartlett
Bandwidth 14.648


Trend: Constant
Critical Values: 45.40 (10%), 52.41 (5%), 67.37 (1%)
Null Hypothesis: No Cointegration
Alternative Hypothesis: Cointegration
Distribution Order: 2" ], "text/plain": [ "\n", "\"\"\"\n", "Phillips-Ouliaris pz Cointegration Test\n", "=====================================\n", "Test Statistic 114.601\n", "P-value 0.000\n", "Kernel Bartlett\n", "Bandwidth 14.648\n", "-------------------------------------\n", "\n", "Trend: Constant\n", "Critical Values: 45.40 (10%), 52.41 (5%), 67.37 (1%)\n", "Null Hypothesis: No Cointegration\n", "Alternative Hypothesis: Cointegration\n", "Distribution Order: 2\n", "\"\"\"" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "po_pu_test = phillips_ouliaris(log_price.WTI, log_price.Brent, trend=\"c\", test_type=\"Pz\")\n", "po_pu_test.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The cointegrating residual is identical to the EG test since the first step is identical." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = po_zt_test.plot()" ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 1 }