{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "(stochastic_volatility)=\n", "# Stochastic Volatility model\n", "\n", ":::{post} June 17, 2022\n", ":tags: time series, case study\n", ":category: beginner\n", ":author: John Salvatier\n", ":::" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:34.917157Z", "iopub.status.busy": "2022-06-18T02:05:34.916448Z", "iopub.status.idle": "2022-06-18T02:05:39.918619Z", "shell.execute_reply": "2022-06-18T02:05:39.917223Z" } }, "outputs": [], "source": [ "import os\n", "\n", "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "\n", "rng = np.random.RandomState(1234)\n", "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Asset prices have time-varying volatility (variance of day over day `returns`). In some periods, returns are highly variable, while in others very stable. Stochastic volatility models model this with a latent volatility variable, modeled as a stochastic process. The following model is similar to the one described in the No-U-Turn Sampler paper, {cite:p}`hoffman2014nuts`.\n", "\n", "$$ \\sigma \\sim Exponential(50) $$\n", "\n", "$$ \\nu \\sim Exponential(.1) $$\n", "\n", "$$ s_i \\sim Normal(s_{i-1}, \\sigma^{-2}) $$\n", "\n", "$$ \\log(r_i) \\sim t(\\nu, 0, \\exp(-2 s_i)) $$\n", "\n", "Here, $r$ is the daily return series and $s$ is the latent log volatility process." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we load daily returns of the S&P 500, and calculate the daily log returns. This data is from May 2008 to November 2019." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:39.923668Z", "iopub.status.busy": "2022-06-18T02:05:39.923017Z", "iopub.status.idle": "2022-06-18T02:05:39.948801Z", "shell.execute_reply": "2022-06-18T02:05:39.948161Z" } }, "outputs": [ { "data": { "text/html": [ "
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Closechange
Date
2008-05-051407.489990-0.004544
2008-05-061418.2600100.007623
2008-05-071392.569946-0.018280
2008-05-081397.6800540.003663
2008-05-091388.280029-0.006748
\n", "
" ], "text/plain": [ " Close change\n", "Date \n", "2008-05-05 1407.489990 -0.004544\n", "2008-05-06 1418.260010 0.007623\n", "2008-05-07 1392.569946 -0.018280\n", "2008-05-08 1397.680054 0.003663\n", "2008-05-09 1388.280029 -0.006748" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "try:\n", " returns = pd.read_csv(os.path.join(\"..\", \"data\", \"SP500.csv\"), index_col=\"Date\")\n", "except FileNotFoundError:\n", " returns = pd.read_csv(pm.get_data(\"SP500.csv\"), index_col=\"Date\")\n", "\n", "returns[\"change\"] = np.log(returns[\"Close\"]).diff()\n", "returns = returns.dropna()\n", "\n", "returns.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the volatility seems to change over time quite a bit but cluster around certain time-periods. For example, the 2008 financial crisis is easy to pick out." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:39.975636Z", "iopub.status.busy": "2022-06-18T02:05:39.975328Z", "iopub.status.idle": "2022-06-18T02:05:40.253189Z", "shell.execute_reply": "2022-06-18T02:05:40.252490Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14, 4))\n", "returns.plot(y=\"change\", label=\"S&P 500\", ax=ax)\n", "ax.set(xlabel=\"time\", ylabel=\"returns\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Specifying the model in `PyMC` mirrors its statistical specification." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:40.256584Z", "iopub.status.busy": "2022-06-18T02:05:40.256256Z", "iopub.status.idle": "2022-06-18T02:05:42.358795Z", "shell.execute_reply": "2022-06-18T02:05:42.357424Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/v7k/anaconda3/envs/pymc_env/lib/python3.10/site-packages/pymc/distributions/timeseries.py:274: UserWarning: Initial distribution not specified, defaulting to `Normal.dist(0, 100)`.You can specify an init_dist manually to suppress this warning.\n", " warnings.warn(\n" ] } ], "source": [ "def make_stochastic_volatility_model(data):\n", " with pm.Model(coords={\"time\": data.index.values}) as model:\n", " step_size = pm.Exponential(\"step_size\", 10)\n", " volatility = pm.GaussianRandomWalk(\"volatility\", sigma=step_size, dims=\"time\")\n", " nu = pm.Exponential(\"nu\", 0.1)\n", " returns = pm.StudentT(\n", " \"returns\", nu=nu, lam=np.exp(-2 * volatility), observed=data[\"change\"], dims=\"time\"\n", " )\n", " return model\n", "\n", "\n", "stochastic_vol_model = make_stochastic_volatility_model(returns)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Checking the model\n", "\n", "Two good things to do to make sure our model is what we expect is to \n", "1. Take a look at the model structure. This lets us know we specified the priors we wanted and the connections we wanted. It is also handy to remind ourselves of the size of the random variables.\n", "2. Take a look at the prior predictive samples. This helps us interpret what our priors imply about the data." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:42.363501Z", "iopub.status.busy": "2022-06-18T02:05:42.363107Z", "iopub.status.idle": "2022-06-18T02:05:44.285753Z", "shell.execute_reply": "2022-06-18T02:05:44.284957Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "clustertime (2905)\n", "\n", "time (2905)\n", "\n", "\n", "\n", "nu\n", "\n", "nu\n", "~\n", "Exponential\n", "\n", "\n", "\n", "returns\n", "\n", "returns\n", "~\n", "StudentT\n", "\n", "\n", "\n", "nu->returns\n", "\n", "\n", "\n", "\n", "\n", "step_size\n", "\n", "step_size\n", "~\n", "Exponential\n", "\n", "\n", "\n", "volatility\n", "\n", "volatility\n", "~\n", "GaussianRandomWalk\n", "\n", "\n", "\n", "step_size->volatility\n", "\n", "\n", "\n", "\n", "\n", "returns->returns\n", "\n", "\n", "\n", "\n", "\n", "volatility->returns\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(stochastic_vol_model)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:44.289383Z", "iopub.status.busy": "2022-06-18T02:05:44.289059Z", "iopub.status.idle": "2022-06-18T02:05:48.688470Z", "shell.execute_reply": "2022-06-18T02:05:48.687102Z" } }, "outputs": [], "source": [ "with stochastic_vol_model:\n", " idata = pm.sample_prior_predictive(500, random_seed=rng)\n", "\n", "prior_predictive = idata.prior_predictive.stack(pooled_chain=(\"chain\", \"draw\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We plot and inspect the prior predictive. This is *many* orders of magnitude larger than the actual returns we observed. In fact, I cherry-picked a few draws to keep the plot from looking silly. This may suggest changing our priors: a return that our model considers plausible would violate all sorts of constraints by a huge margin: the total value of all goods and services the world produces is ~$\\$10^9$, so we might reasonably *not* expect any returns above that magnitude.\n", "\n", "That said, we get somewhat reasonable results fitting this model anyways, and it is standard, so we leave it as is." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:48.692762Z", "iopub.status.busy": "2022-06-18T02:05:48.692399Z", "iopub.status.idle": "2022-06-18T02:05:48.847346Z", "shell.execute_reply": "2022-06-18T02:05:48.846238Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14, 4))\n", "returns[\"change\"].plot(ax=ax, lw=1, color=\"black\")\n", "ax.plot(\n", " prior_predictive[\"returns\"].isel(pooled_chain=slice(4, 6, None)),\n", " \"g\",\n", " alpha=0.5,\n", " lw=1,\n", " zorder=-10,\n", ")\n", "\n", "max_observed, max_simulated = np.max(np.abs(returns[\"change\"])), np.max(\n", " np.abs(prior_predictive[\"returns\"].values)\n", ")\n", "ax.set_title(f\"Maximum observed: {max_observed:.2g}\\nMaximum simulated: {max_simulated:.2g}(!)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once we are happy with our model, we can sample from the posterior. This is a somewhat tricky model to fit even with NUTS, so we sample and tune a little longer than default." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:05:48.852357Z", "iopub.status.busy": "2022-06-18T02:05:48.851939Z", "iopub.status.idle": "2022-06-18T02:14:52.520422Z", "shell.execute_reply": "2022-06-18T02:14:52.519067Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [step_size, volatility, nu]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
\n", " \n", " 100.00% [16000/16000 07:38<00:00 Sampling 4 chains, 0 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 2_000 tune and 2_000 draw iterations (8_000 + 8_000 draws total) took 473 seconds.\n" ] } ], "source": [ "with stochastic_vol_model:\n", " idata.extend(pm.sample(2000, tune=2000, random_seed=rng))\n", "\n", "posterior = idata.posterior.stack(pooled_chain=(\"chain\", \"draw\"))\n", "posterior[\"exp_volatility\"] = np.exp(posterior[\"volatility\"])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:14:52.525344Z", "iopub.status.busy": "2022-06-18T02:14:52.524941Z", "iopub.status.idle": "2022-06-18T02:15:05.275564Z", "shell.execute_reply": "2022-06-18T02:15:05.274825Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with stochastic_vol_model:\n", " idata.extend(pm.sample_posterior_predictive(idata, random_seed=rng))\n", "\n", "posterior_predictive = idata.posterior_predictive.stack(pooled_chain=(\"chain\", \"draw\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `step_size` parameter does not look perfect: the different chains look somewhat different. This again indicates some weakness in our model: it may make sense to allow the step_size to change over time, especially over this 11 year time span." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:15:05.279279Z", "iopub.status.busy": "2022-06-18T02:15:05.278955Z", "iopub.status.idle": "2022-06-18T02:15:06.745195Z", "shell.execute_reply": "2022-06-18T02:15:06.742948Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_trace(idata, var_names=[\"step_size\", \"nu\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can look at our posterior estimates of the volatility in S&P 500 returns over time." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:15:06.754015Z", "iopub.status.busy": "2022-06-18T02:15:06.753322Z", "iopub.status.idle": "2022-06-18T02:15:13.378712Z", "shell.execute_reply": "2022-06-18T02:15:13.378097Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(14, 4))\n", "\n", "y_vals = posterior[\"exp_volatility\"].isel(pooled_chain=slice(None, None, 5))\n", "x_vals = y_vals.time.astype(np.datetime64)\n", "\n", "plt.plot(x_vals, y_vals, \"k\", alpha=0.002)\n", "ax.set_xlim(x_vals.min(), x_vals.max())\n", "ax.set_ylim(bottom=0)\n", "ax.set(title=\"Estimated volatility over time\", xlabel=\"Date\", ylabel=\"Volatility\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can use the posterior predictive distribution to see the how the learned volatility could have effected returns." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2022-06-18T02:15:13.382434Z", "iopub.status.busy": "2022-06-18T02:15:13.382106Z", "iopub.status.idle": "2022-06-18T02:15:14.243048Z", "shell.execute_reply": "2022-06-18T02:15:14.242275Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=2, figsize=(14, 7), sharex=True)\n", "returns[\"change\"].plot(ax=axes[0], color=\"black\")\n", "\n", "axes[1].plot(posterior[\"exp_volatility\"].isel(pooled_chain=slice(None, None, 100)), \"r\", alpha=0.5)\n", "axes[0].plot(\n", " posterior_predictive[\"returns\"].isel(pooled_chain=slice(None, None, 100)),\n", " \"g\",\n", " alpha=0.5,\n", " zorder=-10,\n", ")\n", "axes[0].set_title(\"True log returns (black) and posterior predictive log returns (green)\")\n", "axes[1].set_title(\"Posterior volatility\");" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Last updated: Sat Jun 18 2022\n", "\n", "Python implementation: CPython\n", "Python version : 3.10.5\n", "IPython version : 8.4.0\n", "\n", "aesara: 2.6.6\n", "aeppl : 0.0.31\n", "xarray: 2022.3.0\n", "\n", "numpy : 1.22.4\n", "arviz : 0.12.1\n", "pandas : 1.4.2\n", "matplotlib: 3.5.2\n", "pymc : 4.0.0\n", "\n", "Watermark: 2.3.1\n", "\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -n -u -v -iv -w -p aesara,aeppl,xarray" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", ":::{bibliography}\n", ":filter: docname in docnames\n", ":::" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Authors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Written by John Salvatier\n", "* Updated by Kyle Meyer\n", "* Updated by Thomas Wiecki\n", "* Updated by Chris Fonnesbeck\n", "* Updated by Aaron Maxwell on May 18, 2018 ([pymc#2978](https://github.com/pymc-devs/pymc/pull/2978))\n", "* Updated by Colin Carroll on November 16, 2019 ([pymc#3682](https://github.com/pymc-devs/pymc/pull/3682))\n", "* Updated by Abhipsha Das on July 24, 2021 ([pymc-examples#155](https://github.com/pymc-devs/pymc-examples/pull/155))\n", "* Updated by Michael Osthege on June 1, 2022 ([pymc-examples#343](https://github.com/pymc-devs/pymc-examples/pull/343))\n", "* Updated by Christopher Krapu on June 17, 2022 ([pymc-examples#378](https://github.com/pymc-devs/pymc-examples/pull/378))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ ":::{include} ../page_footer.md\n", ":::" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "pymc_env", "language": "python", "name": "pymc_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.5" } }, "nbformat": 4, "nbformat_minor": 4 }