{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ARCH Modeling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_This setup code is required to run in an IPython notebook_" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [], "source": [ "%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": {}, "source": [ "## Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These examples will all make use of financial data from Yahoo! Finance. This data set can be loaded from `arch.data.sp500`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import datetime as dt\n", "\n", "import arch.data.sp500\n", "\n", "st = dt.datetime(1988, 1, 1)\n", "en = dt.datetime(2018, 1, 1)\n", "data = arch.data.sp500.load()\n", "market = data[\"Adj Close\"]\n", "returns = 100 * market.pct_change().dropna()\n", "ax = returns.plot()\n", "xlim = ax.set_xlim(returns.index.min(), returns.index.max())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Specifying Common Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest way to specify a model is to use the model constructor `arch.arch_model` which can specify most common models. The simplest invocation of `arch` will return a model with a constant mean, GARCH(1,1) volatility process and normally distributed errors.\n", "\n", "\n", "$$ r_t = \\mu + \\epsilon_t$$\n", "\n", "$$\\sigma^2_t = \\omega + \\alpha \\epsilon_{t-1}^2 + \\beta \\sigma_{t-1}^2 $$\n", "\n", "$$\\epsilon_t = \\sigma_t e_t,\\,\\,\\, e_t \\sim N(0,1) $$\n", "\n", "\n", "The model is estimated by calling `fit`. The optional inputs `iter` controls the frequency of output form the optimizer, and `disp` controls whether convergence information is returned. The results class returned offers direct access to the estimated parameters and related quantities, as well as a `summary` of the estimation results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GARCH (with a Constant Mean)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default set of options produces a model with a constant mean, GARCH(1,1) conditional variance and normal errors." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration: 5, Func. Count: 35, Neg. LLF: 6970.2779565773335\n", "Iteration: 10, Func. Count: 63, Neg. LLF: 6936.718477482076\n", "Optimization terminated successfully (Exit mode 0)\n", " Current function value: 6936.718476988951\n", " Iterations: 11\n", " Function evaluations: 68\n", " Gradient evaluations: 11\n", " Constant Mean - GARCH Model Results \n", "==============================================================================\n", "Dep. Variable: Adj Close R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: GARCH Log-Likelihood: -6936.72\n", "Distribution: Normal AIC: 13881.4\n", "Method: Maximum Likelihood BIC: 13907.5\n", " No. Observations: 5030\n", "Date: Tue, May 30 2023 Df Residuals: 5029\n", "Time: 10:55:28 Df Model: 1\n", " Mean Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "mu 0.0564 1.149e-02 4.906 9.302e-07 [3.384e-02,7.887e-02]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 0.0175 4.683e-03 3.738 1.854e-04 [8.328e-03,2.669e-02]\n", "alpha[1] 0.1022 1.301e-02 7.852 4.105e-15 [7.665e-02, 0.128]\n", "beta[1] 0.8852 1.380e-02 64.125 0.000 [ 0.858, 0.912]\n", "============================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "from arch import arch_model\n", "\n", "am = arch_model(returns)\n", "res = am.fit(update_freq=5)\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`plot()` can be used to quickly visualize the standardized residuals and conditional volatility. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = res.plot(annualize=\"D\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GJR-GARCH" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Additional inputs can be used to construct other models. This example sets `o` to 1, which includes one lag of an asymmetric shock which transforms a GARCH model into a GJR-GARCH model with variance dynamics given by \n", "\n", "$$\n", "\\sigma^2_t = \\omega + \\alpha \\epsilon_{t-1}^2 + \\gamma \\epsilon_{t-1}^2 I_{[\\epsilon_{t-1}<0]}+ \\beta \\sigma_{t-1}^2 \n", "$$\n", "\n", "where $I$ is an indicator function that takes the value 1 when its argument is true.\n", "\n", "The log likelihood improves substantially with the introduction of an asymmetric term, and the parameter estimate is highly significant." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Constant Mean - GJR-GARCH Model Results \n", "==============================================================================\n", "Dep. Variable: Adj Close R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: GJR-GARCH Log-Likelihood: -6822.88\n", "Distribution: Normal AIC: 13655.8\n", "Method: Maximum Likelihood BIC: 13688.4\n", " No. Observations: 5030\n", "Date: Tue, May 30 2023 Df Residuals: 5029\n", "Time: 10:55:29 Df Model: 1\n", " Mean Model \n", "=============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-----------------------------------------------------------------------------\n", "mu 0.0175 1.145e-02 1.529 0.126 [-4.936e-03,3.995e-02]\n", " Volatility Model \n", "=============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-----------------------------------------------------------------------------\n", "omega 0.0196 4.051e-03 4.830 1.362e-06 [1.163e-02,2.751e-02]\n", "alpha[1] 2.4027e-10 1.026e-02 2.341e-08 1.000 [-2.011e-02,2.011e-02]\n", "gamma[1] 0.1831 2.266e-02 8.079 6.543e-16 [ 0.139, 0.227]\n", "beta[1] 0.8922 1.458e-02 61.200 0.000 [ 0.864, 0.921]\n", "=============================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "am = arch_model(returns, p=1, o=1, q=1)\n", "res = am.fit(update_freq=5, disp=\"off\")\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TARCH/ZARCH" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TARCH (also known as ZARCH) model the _volatility_ using absolute values. This model is specified using `power=1.0` since the default power, 2, corresponds to variance processes that evolve in squares.\n", "\n", "The volatility process in a TARCH model is given by \n", "\n", "$$\n", "\\sigma_t = \\omega + \\alpha \\left|\\epsilon_{t-1}\\right| + \\gamma \\left|\\epsilon_{t-1}\\right| I_{[\\epsilon_{t-1}<0]}+ \\beta \\sigma_{t-1} \n", "$$\n", "\n", "More general models with other powers ($\\kappa$) have volatility dynamics given by \n", "\n", "$$\n", "\\sigma_t^\\kappa = \\omega + \\alpha \\left|\\epsilon_{t-1}\\right|^\\kappa + \\gamma \\left|\\epsilon_{t-1}\\right|^\\kappa I_{[\\epsilon_{t-1}<0]}+ \\beta \\sigma_{t-1}^\\kappa \n", "$$\n", "\n", "where the conditional variance is $\\left(\\sigma_t^\\kappa\\right)^{2/\\kappa}$.\n", "\n", "The TARCH model also improves the fit, although the change in the log likelihood is less dramatic." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration: 5, Func. Count: 45, Neg. LLF: 6829.197763035331\n", "Iteration: 10, Func. Count: 79, Neg. LLF: 6799.178613053096\n", "Optimization terminated successfully (Exit mode 0)\n", " Current function value: 6799.178523172141\n", " Iterations: 14\n", " Function evaluations: 103\n", " Gradient evaluations: 13\n", " Constant Mean - TARCH/ZARCH Model Results \n", "==============================================================================\n", "Dep. Variable: Adj Close R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: TARCH/ZARCH Log-Likelihood: -6799.18\n", "Distribution: Normal AIC: 13608.4\n", "Method: Maximum Likelihood BIC: 13641.0\n", " No. Observations: 5030\n", "Date: Tue, May 30 2023 Df Residuals: 5029\n", "Time: 10:55:29 Df Model: 1\n", " Mean Model \n", "=============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-----------------------------------------------------------------------------\n", "mu 0.0143 1.091e-02 1.311 0.190 [-7.086e-03,3.570e-02]\n", " Volatility Model \n", "=============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-----------------------------------------------------------------------------\n", "omega 0.0258 4.100e-03 6.299 2.987e-10 [1.779e-02,3.386e-02]\n", "alpha[1] 5.9528e-09 9.156e-03 6.502e-07 1.000 [-1.794e-02,1.794e-02]\n", "gamma[1] 0.1707 1.601e-02 10.664 1.501e-26 [ 0.139, 0.202]\n", "beta[1] 0.9098 9.671e-03 94.067 0.000 [ 0.891, 0.929]\n", "=============================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "am = arch_model(returns, p=1, o=1, q=1, power=1.0)\n", "res = am.fit(update_freq=5)\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Student's T Errors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Financial returns are often heavy tailed, and a Student's T distribution is a simple method to capture this feature. The call to `arch` changes the distribution from a Normal to a Students's T.\n", "\n", "The standardized residuals appear to be heavy tailed with an estimated degree of freedom near 10. The log-likelihood also shows a large increase." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration: 5, Func. Count: 50, Neg. LLF: 6728.995165345449\n", "Iteration: 10, Func. Count: 90, Neg. LLF: 6722.15117736426\n", "Optimization terminated successfully (Exit mode 0)\n", " Current function value: 6722.1511833987915\n", " Iterations: 13\n", " Function evaluations: 110\n", " Gradient evaluations: 12\n", " Constant Mean - TARCH/ZARCH Model Results \n", "====================================================================================\n", "Dep. Variable: Adj Close R-squared: 0.000\n", "Mean Model: Constant Mean Adj. R-squared: 0.000\n", "Vol Model: TARCH/ZARCH Log-Likelihood: -6722.15\n", "Distribution: Standardized Student's t AIC: 13456.3\n", "Method: Maximum Likelihood BIC: 13495.4\n", " No. Observations: 5030\n", "Date: Tue, May 30 2023 Df Residuals: 5029\n", "Time: 10:55:29 Df Model: 1\n", " Mean Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "mu 0.0323 2.292e-03 14.077 5.292e-45 [2.777e-02,3.676e-02]\n", " Volatility Model \n", "=============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-----------------------------------------------------------------------------\n", "omega 0.0201 3.492e-03 5.745 9.179e-09 [1.322e-02,2.691e-02]\n", "alpha[1] 0.0000 8.223e-03 0.000 1.000 [-1.612e-02,1.612e-02]\n", "gamma[1] 0.1721 1.512e-02 11.386 4.925e-30 [ 0.143, 0.202]\n", "beta[1] 0.9139 9.578e-03 95.414 0.000 [ 0.895, 0.933]\n", " Distribution \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "nu 7.9549 0.880 9.036 1.620e-19 [ 6.229, 9.680]\n", "========================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "am = arch_model(returns, p=1, o=1, q=1, power=1.0, dist=\"StudentsT\")\n", "res = am.fit(update_freq=5)\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fixing Parameters\n", "In some circumstances, fixed rather than estimated parameters might be of interest. A model-result-like class can be generated using the `fix()` method. The class returned is identical to the usual model result class except that information about inference (standard errors, t-stats, etc) is not available. \n", "\n", "In the example, I fix the parameters to a symmetric version of the previously estimated model." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Constant Mean - TARCH/ZARCH Model Results \n", "=====================================================================================\n", "Dep. Variable: Adj Close R-squared: --\n", "Mean Model: Constant Mean Adj. R-squared: --\n", "Vol Model: TARCH/ZARCH Log-Likelihood: -6908.93\n", "Distribution: Standardized Student's t AIC: 13829.9\n", "Method: User-specified Parameters BIC: 13869.0\n", " No. Observations: 5030\n", "Date: Tue, May 30 2023 \n", "Time: 10:55:29 \n", " Mean Model \n", "=====================\n", " coef\n", "---------------------\n", "mu 0.0235\n", " Volatility Model \n", "=====================\n", " coef\n", "---------------------\n", "omega 0.0100\n", "alpha[1] 0.0600\n", "gamma[1] 0.0000\n", "beta[1] 0.9382\n", " Distribution \n", "=====================\n", " coef\n", "---------------------\n", "nu 8.0000\n", "=====================\n", "\n", "Results generated with user-specified parameters.\n", "Std. errors not available when the model is not estimated, \n" ] } ], "source": [ "fixed_res = am.fix([0.0235, 0.01, 0.06, 0.0, 0.9382, 8.0])\n", "print(fixed_res.summary())" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "data": { "text/plain": [ "(10596.0, 17896.0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "\n", "df = pd.concat([res.conditional_volatility, fixed_res.conditional_volatility], axis=1)\n", "df.columns = [\"Estimated\", \"Fixed\"]\n", "subplot = df.plot()\n", "subplot.set_xlim(xlim)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Building a Model From Components" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Models can also be systematically assembled from the three model components:\n", "\n", "* A mean model (`arch.mean`)\n", " * Zero mean (`ZeroMean`) - useful if using residuals from a model estimated separately\n", " * Constant mean (`ConstantMean`) - common for most liquid financial assets\n", " * Autoregressive (`ARX`) with optional exogenous regressors\n", " * Heterogeneous (`HARX`) autoregression with optional exogenous regressors\n", " * Exogenous regressors only (`LS`)\n", "* A volatility process (`arch.volatility`)\n", " * ARCH (`ARCH`)\n", " * GARCH (`GARCH`)\n", " * GJR-GARCH (`GARCH` using `o` argument) \n", " * TARCH/ZARCH (`GARCH` using `power` argument set to `1`)\n", " * Power GARCH and Asymmetric Power GARCH (`GARCH` using `power`)\n", " * Exponentially Weighted Moving Average Variance with estimated coefficient (`EWMAVariance`)\n", " * Heterogeneous ARCH (`HARCH`)\n", " * Parameterless Models\n", " * Exponentially Weighted Moving Average Variance, known as RiskMetrics (`EWMAVariance`)\n", " * Weighted averages of EWMAs, known as the RiskMetrics 2006 methodology (`RiskMetrics2006`)\n", "* A distribution (`arch.distribution`)\n", " * Normal (`Normal`)\n", " * Standardized Students's T (`StudentsT`)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mean Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first choice is the mean model. For many liquid financial assets, a constant mean (or even zero) is adequate. For other series, such as inflation, a more complicated model may be required. These examples make use of Core CPI downloaded from the [Federal Reserve Economic Data](https://fred.stlouisfed.org/) site." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import arch.data.core_cpi\n", "\n", "core_cpi = arch.data.core_cpi.load()\n", "ann_inflation = 100 * core_cpi.CPILFESL.pct_change(12).dropna()\n", "fig = ann_inflation.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All mean models are initialized with constant variance and normal errors. For `ARX` models, the `lags` argument specifies the lags to include in the model." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AR - Constant Variance Model Results \n", "==============================================================================\n", "Dep. Variable: CPILFESL R-squared: 0.991\n", "Mean Model: AR Adj. R-squared: 0.991\n", "Vol Model: Constant Variance Log-Likelihood: -3299.84\n", "Distribution: Normal AIC: 6609.68\n", "Method: Maximum Likelihood BIC: 6632.57\n", " No. Observations: 719\n", "Date: Tue, May 30 2023 Df Residuals: 715\n", "Time: 10:55:30 Df Model: 4\n", " Mean Model \n", "===============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-------------------------------------------------------------------------------\n", "Const 4.0216 2.030 1.981 4.762e-02 [4.218e-02, 8.001]\n", "CPILFESL[1] 1.1921 3.475e-02 34.306 6.315e-258 [ 1.124, 1.260]\n", "CPILFESL[3] -0.1798 4.076e-02 -4.411 1.030e-05 [ -0.260,-9.989e-02]\n", "CPILFESL[12] -0.0232 1.370e-02 -1.692 9.058e-02 [-5.002e-02,3.666e-03]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "sigma2 567.4180 64.487 8.799 1.381e-18 [4.410e+02,6.938e+02]\n", "============================================================================\n", "\n", "Covariance estimator: White's Heteroskedasticity Consistent Estimator\n" ] } ], "source": [ "from arch.univariate import ARX\n", "\n", "ar = ARX(100 * ann_inflation, lags=[1, 3, 12])\n", "print(ar.fit().summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Volatility Processes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Volatility processes can be added a a mean model using the `volatility` property. This example adds an ARCH(5) process to model volatility. The arguments `iter` and `disp` are used in `fit()` to suppress estimation output." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AR - ARCH Model Results \n", "==============================================================================\n", "Dep. Variable: CPILFESL R-squared: 0.991\n", "Mean Model: AR Adj. R-squared: 0.991\n", "Vol Model: ARCH Log-Likelihood: -3174.60\n", "Distribution: Normal AIC: 6369.19\n", "Method: Maximum Likelihood BIC: 6414.97\n", " No. Observations: 719\n", "Date: Tue, May 30 2023 Df Residuals: 715\n", "Time: 10:55:30 Df Model: 4\n", " Mean Model \n", "===============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-------------------------------------------------------------------------------\n", "Const 2.8500 1.883 1.513 0.130 [ -0.841, 6.541]\n", "CPILFESL[1] 1.0859 3.534e-02 30.726 2.596e-207 [ 1.017, 1.155]\n", "CPILFESL[3] -0.0788 3.855e-02 -2.045 4.085e-02 [ -0.154,-3.282e-03]\n", "CPILFESL[12] -0.0189 1.157e-02 -1.630 0.103 [-4.154e-02,3.820e-03]\n", " Volatility Model \n", "==========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "--------------------------------------------------------------------------\n", "omega 76.8696 16.017 4.799 1.592e-06 [ 45.478,1.083e+02]\n", "alpha[1] 0.1345 4.003e-02 3.359 7.827e-04 [5.600e-02, 0.213]\n", "alpha[2] 0.2280 6.284e-02 3.628 2.861e-04 [ 0.105, 0.351]\n", "alpha[3] 0.1838 6.802e-02 2.702 6.894e-03 [5.046e-02, 0.317]\n", "alpha[4] 0.2538 7.826e-02 3.242 1.185e-03 [ 0.100, 0.407]\n", "alpha[5] 0.1954 7.091e-02 2.756 5.856e-03 [5.643e-02, 0.334]\n", "==========================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "from arch.univariate import ARCH, GARCH\n", "\n", "ar.volatility = ARCH(p=5)\n", "res = ar.fit(update_freq=0, disp=\"off\")\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the standardized residuals and the conditional volatility shows some large (in magnitude) errors, even when standardized." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = res.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Distributions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally the distribution can be changed from the default normal to a standardized Student's T using the `distribution` property of a mean model.\n", "\n", "The Student's t distribution improves the model, and the degree of freedom is estimated to be near 8." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AR - ARCH Model Results \n", "====================================================================================\n", "Dep. Variable: CPILFESL R-squared: 0.991\n", "Mean Model: AR Adj. R-squared: 0.991\n", "Vol Model: ARCH Log-Likelihood: -3168.25\n", "Distribution: Standardized Student's t AIC: 6358.51\n", "Method: Maximum Likelihood BIC: 6408.86\n", " No. Observations: 719\n", "Date: Tue, May 30 2023 Df Residuals: 715\n", "Time: 10:55:31 Df Model: 4\n", " Mean Model \n", "===============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "-------------------------------------------------------------------------------\n", "Const 3.1220 1.861 1.678 9.343e-02 [ -0.526, 6.770]\n", "CPILFESL[1] 1.0843 3.525e-02 30.762 8.350e-208 [ 1.015, 1.153]\n", "CPILFESL[3] -0.0730 3.873e-02 -1.885 5.948e-02 [ -0.149,2.919e-03]\n", "CPILFESL[12] -0.0236 1.316e-02 -1.791 7.329e-02 [-4.935e-02,2.223e-03]\n", " Volatility Model \n", "==========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "--------------------------------------------------------------------------\n", "omega 87.3503 20.625 4.235 2.283e-05 [ 46.927,1.278e+02]\n", "alpha[1] 0.1715 5.064e-02 3.386 7.087e-04 [7.222e-02, 0.271]\n", "alpha[2] 0.2202 6.394e-02 3.444 5.741e-04 [9.486e-02, 0.345]\n", "alpha[3] 0.1547 6.327e-02 2.446 1.447e-02 [3.072e-02, 0.279]\n", "alpha[4] 0.2117 7.287e-02 2.905 3.677e-03 [6.884e-02, 0.354]\n", "alpha[5] 0.1959 7.853e-02 2.495 1.261e-02 [4.199e-02, 0.350]\n", " Distribution \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "nu 9.0451 3.366 2.687 7.205e-03 [ 2.448, 15.642]\n", "========================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "from arch.univariate import StudentsT\n", "\n", "ar.distribution = StudentsT()\n", "res = ar.fit(update_freq=0, disp=\"off\")\n", "print(res.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## WTI Crude" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next example uses West Texas Intermediate Crude data from FRED. Three models are fit using alternative distributional assumptions. The results are printed, where we can see that the normal has a much lower log-likelihood than either the Standard Student's T or the Standardized Skew Student's T -- however, these two are fairly close. The closeness of the T and the Skew T indicate that returns are not heavily skewed." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "normal -18165.858870\n", "t -17919.643916\n", "skewt -17916.669052\n", "dtype: float64\n" ] }, { "data": { "text/html": [ "
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normaltskewt
alpha[1]0.0856270.0649800.064889
beta[1]0.9090980.9279500.928215
etaNaNNaN6.186541
lambdaNaNNaN-0.036986
mu0.0466820.0564380.040928
nuNaN6.178598NaN
omega0.0558060.0485160.047683
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" ], "text/plain": [ " normal t skewt\n", "alpha[1] 0.085627 0.064980 0.064889\n", "beta[1] 0.909098 0.927950 0.928215\n", "eta NaN NaN 6.186541\n", "lambda NaN NaN -0.036986\n", "mu 0.046682 0.056438 0.040928\n", "nu NaN 6.178598 NaN\n", "omega 0.055806 0.048516 0.047683" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from collections import OrderedDict\n", "\n", "import arch.data.wti\n", "\n", "crude = arch.data.wti.load()\n", "crude_ret = 100 * crude.DCOILWTICO.dropna().pct_change().dropna()\n", "res_normal = arch_model(crude_ret).fit(disp=\"off\")\n", "res_t = arch_model(crude_ret, dist=\"t\").fit(disp=\"off\")\n", "res_skewt = arch_model(crude_ret, dist=\"skewt\").fit(disp=\"off\")\n", "lls = pd.Series(\n", " OrderedDict(\n", " (\n", " (\"normal\", res_normal.loglikelihood),\n", " (\"t\", res_t.loglikelihood),\n", " (\"skewt\", res_skewt.loglikelihood),\n", " )\n", " )\n", ")\n", "print(lls)\n", "params = pd.DataFrame(\n", " OrderedDict(\n", " (\n", " (\"normal\", res_normal.params),\n", " (\"t\", res_t.params),\n", " (\"skewt\", res_skewt.params),\n", " )\n", " )\n", ")\n", "params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The standardized residuals can be computed by dividing the residuals by the conditional volatility. These are plotted along with the (unstandardized, but scaled) residuals. The non-standardized residuals are more peaked in the center indicating that the distribution is somewhat more heavy tailed than that of the standardized residuals." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "pycharm": { "is_executing": false } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "std_resid = res_normal.resid / res_normal.conditional_volatility\n", "unit_var_resid = res_normal.resid / res_normal.resid.std()\n", "df = pd.concat([std_resid, unit_var_resid], axis=1)\n", "df.columns = [\"Std Resids\", \"Unit Variance Resids\"]\n", "subplot = df.plot(kind=\"kde\", xlim=(-4, 4))" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Simulation\n", "\n", "All mean models expose a method to simulate returns from assuming the\n", "model is correctly specified. There are two required parameters, `params`\n", "which are the model parameters, and `nobs`, the number of observations\n", "to produce.\n", "\n", "Below we simulate from a GJR-GARCH(1,1) with Skew-t errors using parameters\n", "estimated on the WTI series. The simulation returns a `DataFrame` with 3 columns:\n", "\n", "* `data`: The simulated data, which includes any mean dynamics.\n", "* `volatility`: The conditional volatility series\n", "* `errors`: The simulated errors generated to produce the model. The errors are\n", " the difference between the data and its conditional mean, and can be transformed\n", " into the standardized errors by dividing by the volatility." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "pycharm": { "is_executing": false, "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "
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params
mu0.029365
omega0.044374
alpha[1]0.044344
gamma[1]0.036104
beta[1]0.931280
eta6.211281
lambda-0.041616
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" ], "text/plain": [ " params\n", "mu 0.029365\n", "omega 0.044374\n", "alpha[1] 0.044344\n", "gamma[1] 0.036104\n", "beta[1] 0.931280\n", "eta 6.211281\n", "lambda -0.041616" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res = arch_model(crude_ret, p=1, o=1, q=1, dist=\"skewt\").fit(disp=\"off\")\n", "pd.DataFrame(res.params)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "pycharm": { "is_executing": false, "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "
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datavolatilityerrors
02.2429492.3256492.213584
10.4041092.3018730.374743
2-0.1068602.232734-0.136226
3-1.6789622.165269-1.708327
4-1.3882092.155309-1.417574
\n", "
" ], "text/plain": [ " data volatility errors\n", "0 2.242949 2.325649 2.213584\n", "1 0.404109 2.301873 0.374743\n", "2 -0.106860 2.232734 -0.136226\n", "3 -1.678962 2.165269 -1.708327\n", "4 -1.388209 2.155309 -1.417574" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim_mod = arch_model(None, p=1, o=1, q=1, dist=\"skewt\")\n", "\n", "sim_data = sim_mod.simulate(res.params, 1000)\n", "sim_data.head()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Simulations can be reproduced using a NumPy `RandomState`. This requires \n", "constructing a model from components where the `RandomState` instance is\n", "passed into to the distribution when the model is created.\n", "\n", "The cell below contains code that builds a model with a constant mean,\n", "GJR-GARCH volatility and Skew $t$ errors initialized with a user-provided\n", "`RandomState`. Saving the initial state allows it to be restored later so\n", "that the simulation can be run with the same random values. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "pycharm": { "is_executing": false, "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "
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datavolatilityerrors
01.6168364.7876971.587470
14.1067804.6371294.077415
24.5302004.5614574.500834
32.2848334.5077392.255468
43.3785194.3810163.349153
\n", "
" ], "text/plain": [ " data volatility errors\n", "0 1.616836 4.787697 1.587470\n", "1 4.106780 4.637129 4.077415\n", "2 4.530200 4.561457 4.500834\n", "3 2.284833 4.507739 2.255468\n", "4 3.378519 4.381016 3.349153" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "from arch.univariate import GARCH, ConstantMean, SkewStudent\n", "\n", "rs = np.random.RandomState([892380934, 189201902, 129129894, 9890437])\n", "# Save the initial state to reset later\n", "state = rs.get_state()\n", "\n", "dist = SkewStudent(seed=rs)\n", "vol = GARCH(p=1, o=1, q=1)\n", "repro_mod = ConstantMean(None, volatility=vol, distribution=dist)\n", "\n", "repro_mod.simulate(res.params, 1000).head()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Resetting the state using `set_state` shows that calling `simulate`\n", "using the same underlying state in the `RandomState` produces the\n", "same objects. " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "pycharm": { "is_executing": false, "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "
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datavolatilityerrors
01.6168364.7876971.587470
14.1067804.6371294.077415
24.5302004.5614574.500834
32.2848334.5077392.255468
43.3785194.3810163.349153
\n", "
" ], "text/plain": [ " data volatility errors\n", "0 1.616836 4.787697 1.587470\n", "1 4.106780 4.637129 4.077415\n", "2 4.530200 4.561457 4.500834\n", "3 2.284833 4.507739 2.255468\n", "4 3.378519 4.381016 3.349153" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Reset the state to the initial state\n", "rs.set_state(state)\n", "repro_mod.simulate(res.params, 1000).head()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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" }, "pycharm": { "stem_cell": { "cell_type": "raw", "metadata": { "collapsed": false }, "source": [] } } }, "nbformat": 4, "nbformat_minor": 4 }