Time_series_analysis_2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ARCH/GARCH Volatility Forecasting models "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. **Heteroskedasticity** refers to changes in a variable's variance.\n",
    "2. The **autoregressive conditional heteroskedasticity (ARCH)** model expresses the variance of the error term as a function of the errors in previous periods\n",
    "3. The ARCH(p) model is simply an AR(p) model applied to the variance of the residuals that makes this variance at time t conditional on lagged observations of the variance. \n",
    "4. In precise, the error terms, εt, are residuals of a linear model, such as ARIMA, on the original time series and are split into a time-dependent standard deviation,\n",
    "σt, and a disturbance, zt, as follows:\n",
    "\n",
    " **ARCH (p)** is represented as \n",
    "$$\n",
    "\\sigma _{t}^{2}=\\alpha _{0}+\\alpha _{1}\\epsilon _{{t-1}}^{2}+\\cdots +\\alpha _{q}\\epsilon _{{t-q}}^{2}=\\alpha _{0}+\\sum _{{i=1}}^{q}\\alpha _{{i}}\\epsilon _{{t-i}}^{2},\n",
    "$$\n",
    "\n",
    "5. An ARCH(p) model can be estimated using OLS and Lagrange multiplier test is used to identify the appropriate ARCH \n",
    "   order that corresponds to the F-test of the hypothesis that all coefficients in linear regression are zero"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### How to build a volatility-forecasting model \n",
    "\n",
    "The development of a volatility model for any asset-return series consists of four steps:\n",
    "\n",
    "1. Build an ARMA time series model based on the serial dependence revealed by the ACF and PACF coefficients.\n",
    "2. Test the residuals of the model for ARCH/GARCH effects, relying on the ACF and PACF for the series of the squared residual.\n",
    "3. Specify a volatility model if serial correlation effects are significant, and jointly estimate the mean and volatility equations.\n",
    "4. Fit the model. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "https://www.researchgate.net/post/What_is_the_difference_between_GARCH_and_ARCH#:~:text=The%20generalized%20autoregressive%20conditional%20heteroskedasticity,more%20parsimonious%20than%20ARCH%20model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Collecting package metadata (current_repodata.json): done\n",
      "Solving environment: done\n",
      "\n",
      "## Package Plan ##\n",
      "\n",
      "  environment location: /opt/anaconda3\n",
      "\n",
      "  added / updated specs:\n",
      "    - arch\n",
      "\n",
      "\n",
      "The following packages will be downloaded:\n",
      "\n",
      "    package                    |            build\n",
      "    ---------------------------|-----------------\n",
      "    arch-4.13                  |   py37h1de35cc_0         818 KB  bashtage\n",
      "    ------------------------------------------------------------\n",
      "                                           Total:         818 KB\n",
      "\n",
      "The following NEW packages will be INSTALLED:\n",
      "\n",
      "  arch               bashtage/osx-64::arch-4.13-py37h1de35cc_0\n",
      "\n",
      "\n",
      "\n",
      "Downloading and Extracting Packages\n",
      "arch-4.13            | 818 KB    | ##################################### | 100% \n",
      "Preparing transaction: done\n",
      "Verifying transaction: done\n",
      "Executing transaction: done\n",
      "\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "source": [
    "conda install arch -c bashtage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.7/site-packages/pandas_datareader/compat/__init__.py:7: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
      "  from pandas.util.testing import assert_frame_equal\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import sys\n",
    "import warnings\n",
    "import pandas as pd\n",
    "import pandas_datareader.data as web\n",
    "import numpy as np\n",
    "from numpy.linalg import LinAlgError\n",
    "warnings.filterwarnings('ignore')\n",
    "import statsmodels.tsa.api as tsa                                      #time_series_models\n",
    "import statsmodels.api as sm                                           #cross_sectional_models\n",
    "\n",
    "from statsmodels.graphics.tsaplots import plot_acf,acf,plot_pacf,pacf  #plots for autocorrelation and Partial autocorrelation function\n",
    "from statsmodels.tsa.stattools import acf, q_stat, adfuller         \n",
    "from scipy.stats import probplot, moment\n",
    "from sklearn.metrics import mean_squared_error\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "from arch import arch_model\n",
    "from arch.univariate import ConstantMean, GARCH, Normal\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "nasdaq_prices = web.DataReader('NASDAQCOM', 'fred', '1998-01-01', '2017-12-31').squeeze()\n",
    "log_nasdaq_returns_diff = np.log(nasdaq_prices).diff().dropna().mul(100) # rescale to faciliate optimization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "def correlogram(x, lags, title):\n",
    "    \n",
    "    fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(14, 8))\n",
    "    x.plot(ax=axes[0][0],grid= True, color='red')\n",
    "    q_p = np.max(q_stat(acf(x,lags), len(x))[1])\n",
    "    stats= f'ADF:{adfuller(x)[1]:.2f},\\nQ-Stat:{q_p:.2f}'\n",
    "    axes[0][0].text(x=.03, y=.85,s=stats, transform=axes[0][0].transAxes)\n",
    "    \n",
    "    #probability plot \n",
    "    probplot(x, plot=axes[0][1])\n",
    "    mean, variance, skewness, kurtosis = moment(x, moment=[1, 2, 3, 4])\n",
    "    stats1 = f'Mean: {mean:.2f}\\nSD: {np.sqrt(variance):.2f}\\nSkew: {skewness:.2f}\\nKurtosis:{kurtosis:.2f}'\n",
    "    axes[0][1].text(x=.02, y=.75,s=stats1, transform=axes[0][1].transAxes)\n",
    "    \n",
    "    #ACF and PACF plots\n",
    "    plot_acf(x, lags=lags, zero=False, ax=axes[1][0],alpha=0.05,)\n",
    "    plot_pacf(x, lags=lags, zero=False, ax=axes[1][1])\n",
    "    axes[1][0].set_xlabel('Lag')\n",
    "    axes[1][1].set_xlabel('Lag')\n",
    "    fig.suptitle(title, fontsize=20)\n",
    "    fig.tight_layout()\n",
    "    fig.subplots_adjust(top=.9)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "correlogram(log_nasdaq_returns_diff, lags=250, title='NASDAQ Daily Returns')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "correlogram(log_nasdaq_returns_diff.sub(log_nasdaq_returns_diff.mean()).pow(2), lags=120, title='NASDAQ Daily Volatility')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Order Selection: rolling out-of-sample forecasts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. The objective is to estimate the GARCH model that captures the linear relationship of past volatilities. \n",
    "\n",
    "2. Rolling 10-year windows is the train data, p and q ranges from 1-4 to generate 1-step out-of-sample forecasts. \n",
    "\n",
    "3. Compare the RMSE of the predicted volatility of GARCG with the actual squared deviation of the return from its mean \n",
    "\n",
    "4. Winsorize the data to eliminate fat distributions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Pilot code - Identify the orders to minimize RSE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {},
   "outputs": [],
   "source": [
    "nasdaq = web.DataReader('NASDAQCOM', 'fred', '2017-12-10', '2017-12-31').squeeze().dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {},
   "outputs": [],
   "source": [
    "log_nasdaq= np.log(nasdaq)\n",
    "log_nasdaq_diff=log_nasdaq.diff().dropna().mul(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "2017-12-28    0.155801\n",
       "2017-12-29   -0.675209\n",
       "Name: NASDAQCOM, dtype: float64"
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     },
     "execution_count": 233,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "log_nasdaq_diff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
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      "4 | 4\n",
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      "train DATE\n",
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      "2017-12-15    0.965441\n",
      "2017-12-18    0.835244\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test -0.04150864595633408\n",
      "mean 0.2829250625572737\n",
      "variance 0.3219465017397483\n",
      "s 1\n",
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      "train DATE\n",
      "2017-12-13    0.196242\n",
      "2017-12-14   -0.280652\n",
      "2017-12-15    0.965441\n",
      "2017-12-18    0.835244\n",
      "2017-12-19   -0.442881\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test 0.0631897033301243\n",
      "mean 0.2548433694621201\n",
      "variance 0.42680967774037515\n",
      "s 2\n",
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      "train DATE\n",
      "2017-12-14   -0.280652\n",
      "2017-12-15    0.965441\n",
      "2017-12-18    0.835244\n",
      "2017-12-19   -0.442881\n",
      "2017-12-20   -0.041509\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test -0.07755656991257354\n",
      "mean -0.07293948953248267\n",
      "variance 1.0782348107373254\n",
      "s 3\n",
      "t 8\n",
      "train DATE\n",
      "2017-12-15    0.965441\n",
      "2017-12-18    0.835244\n",
      "2017-12-19   -0.442881\n",
      "2017-12-20   -0.041509\n",
      "2017-12-21    0.063190\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test -0.3412444545402238\n",
      "mean 0.02932507215466337\n",
      "variance 0.0009692247562535478\n",
      "s 4\n",
      "t 9\n",
      "train DATE\n",
      "2017-12-18    0.835244\n",
      "2017-12-19   -0.442881\n",
      "2017-12-20   -0.041509\n",
      "2017-12-21    0.063190\n",
      "2017-12-22   -0.077557\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test 0.04453864738120927\n",
      "mean 0.00934639313431282\n",
      "variance 0.008690473977176696\n",
      "s 5\n",
      "t 10\n",
      "train DATE\n",
      "2017-12-19   -0.442881\n",
      "2017-12-20   -0.041509\n",
      "2017-12-21    0.063190\n",
      "2017-12-22   -0.077557\n",
      "2017-12-26   -0.341244\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test 0.15580117626559087\n",
      "mean -0.12045845559341668\n",
      "variance 0.0018304052889712614\n",
      "s 6\n",
      "t 11\n",
      "train DATE\n",
      "2017-12-20   -0.041509\n",
      "2017-12-21    0.063190\n",
      "2017-12-22   -0.077557\n",
      "2017-12-26   -0.341244\n",
      "2017-12-27    0.044539\n",
      "Name: NASDAQCOM, dtype: float64\n",
      "test -0.5358123224637978\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mean -0.06999027292329105\n",
      "variance 0.06819367217539739\n"
     ]
    }
   ],
   "source": [
    "trainsize =5\n",
    "data = log_nasdaq_diff.clip(lower=log_nasdaq_diff.quantile(.05),\n",
    "                           upper=log_nasdaq_diff.quantile(.95))\n",
    "T = len(data)\n",
    "test_results = {}\n",
    "for p in range(1, 5):\n",
    "    for q in range(1, 5):\n",
    "        print(f'{p} | {q}')\n",
    "        result = []\n",
    "        for s, t in enumerate(range(trainsize, T-1)):\n",
    "            print(\"s\",s)\n",
    "            print(\"t\",t)\n",
    "            train_set = data.iloc[s: t]\n",
    "            print(\"train\",train_set)\n",
    "            test_set = data.iloc[t+1]  # 1-step ahead forecast\n",
    "            print(\"test\",test_set)\n",
    "            model = arch_model(y=train_set, p=p, q=q).fit(disp='off')\n",
    "            forecast = model.forecast(horizon=1)\n",
    "            mu = forecast.mean.iloc[-1,0]\n",
    "            print(\"mean\",mu)\n",
    "            var = forecast.variance.iloc[-1,0]\n",
    "            print(\"variance\",var)\n",
    "            result.append([(test_set-mu)**2, var])\n",
    "        df = pd.DataFrame(result, columns=['y_true', 'y_pred'])\n",
    "        test_results[(p, q)] = np.sqrt(mean_squared_error(df.y_true, df.y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s = pd.Series(test_results)\n",
    "s.index.names = ['p', 'q']\n",
    "s = s.unstack().sort_index(ascending=False)\n",
    "sns.heatmap(s, cmap='coolwarm', annot=True, fmt='.4f')\n",
    "plt.title('Out-of-Sample RMSE');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Final_Code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4852,)"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_nasdaq_returns_diff.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1\n",
      "1 2\n",
      "1 3\n",
      "1 4\n",
      "2 1\n",
      "2 2\n",
      "2 3\n",
      "2 4\n",
      "3 1\n",
      "3 2\n",
      "3 3\n",
      "3 4\n",
      "4 1\n",
      "4 2\n",
      "4 3\n",
      "4 4\n"
     ]
    }
   ],
   "source": [
    "train_size = 10 * 252\n",
    "final_data = log_nasdaq_returns_diff.clip(lower=log_nasdaq_returns_diff.quantile(.05),\n",
    "                           upper=log_nasdaq_returns_diff.quantile(.95))\n",
    "total = len(final_data)\n",
    "test_results = {}\n",
    "for p in range(1, 5):\n",
    "    for q in range(1, 5):\n",
    "        print(p,q)\n",
    "        result = []\n",
    "        for x1, x2 in enumerate(range(train_size, total-1)):\n",
    "            train_set = final_data.iloc[x1: x2]\n",
    "            test_set = final_data.iloc[x2+1]  # 1-step ahead forecast\n",
    "            model = arch_model(y=train_set, p=p, q=q).fit(disp='off')\n",
    "            forecast = model.forecast(horizon=1)\n",
    "            mu = forecast.mean.iloc[-1,0]\n",
    "            var = forecast.variance.iloc[-1,0]\n",
    "            result.append([(test_set-mu)**2, var])\n",
    "        df = pd.DataFrame(result, columns=['y_true', 'y_pred'])\n",
    "        test_results[(p, q)] = np.sqrt(mean_squared_error(df.y_true, df.y_pred))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "series = pd.Series(test_results)\n",
    "series.index.names = ['p', 'q']\n",
    "series = s.unstack().sort_index(ascending=False)\n",
    "sns.heatmap(s, cmap='coolwarm', annot=True, fmt='.4f')\n",
    "plt.title('Out-of-Sample RMSE');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Estimate GARCH(2, 2) Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration:     10,   Func. Count:     95,   Neg. LLF: 7484.0554748785635\n",
      "Optimization terminated successfully.    (Exit mode 0)\n",
      "            Current function value: 7484.02292716963\n",
      "            Iterations: 15\n",
      "            Function evaluations: 136\n",
      "            Gradient evaluations: 15\n",
      "                     Constant Mean - GARCH Model Results                      \n",
      "==============================================================================\n",
      "Dep. Variable:              NASDAQCOM   R-squared:                      -0.001\n",
      "Mean Model:             Constant Mean   Adj. R-squared:                 -0.001\n",
      "Vol Model:                      GARCH   Log-Likelihood:               -7484.02\n",
      "Distribution:                  Normal   AIC:                           14980.0\n",
      "Method:            Maximum Likelihood   BIC:                           15019.0\n",
      "                                        No. Observations:                 4852\n",
      "Date:                Mon, Jun 29 2020   Df Residuals:                     4846\n",
      "Time:                        09:17:33   Df Model:                            6\n",
      "                                 Mean Model                                 \n",
      "============================================================================\n",
      "                 coef    std err          t      P>|t|      95.0% Conf. Int.\n",
      "----------------------------------------------------------------------------\n",
      "mu             0.0521  1.491e-02      3.491  4.804e-04 [2.284e-02,8.130e-02]\n",
      "                               Volatility Model                              \n",
      "=============================================================================\n",
      "                 coef    std err          t      P>|t|       95.0% Conf. Int.\n",
      "-----------------------------------------------------------------------------\n",
      "omega          0.0196  8.287e-03      2.365  1.804e-02  [3.354e-03,3.584e-02]\n",
      "alpha[1]       0.0247  1.470e-02      1.678  9.340e-02 [-4.148e-03,5.346e-02]\n",
      "alpha[2]       0.0627  2.196e-02      2.853  4.324e-03    [1.962e-02,  0.106]\n",
      "beta[1]        0.5648      0.181      3.120  1.806e-03      [  0.210,  0.920]\n",
      "beta[2]        0.3337      0.180      1.853  6.393e-02   [-1.932e-02,  0.687]\n",
      "=============================================================================\n",
      "\n",
      "Covariance estimator: robust\n"
     ]
    }
   ],
   "source": [
    "gm = ConstantMean(log_nasdaq_returns_diff.clip(lower=log_nasdaq_returns_diff.quantile(.05),\n",
    "                                      upper=log_nasdaq_returns_diff.quantile(.95)))\n",
    "gm.volatility = GARCH(2,0,2)\n",
    "gm.distribution = Normal()\n",
    "model = gm.fit(update_freq=10)\n",
    "print(model.summary())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = model.plot(annualize='D')\n",
    "fig.set_size_inches(12, 8)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "correlogram(model.resid.dropna(), lags=250, title='GARCH Residuals')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### More on ARCH models :\n",
    "    \n",
    "https://arch.readthedocs.io/en/latest/univariate/univariate_volatility_modeling.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}