{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Well, Its here, spot Vix close below 10. From what i read from the web, people are piling into short vol strategies on an escalating scale. I suspect unwinding of that trade will be rather brutal. I wish good luck to every short vol trader out there and dont forget to wear a helmet :)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import quandl\n", "import scipy as sp\n", "\n", "sns.set(style=\"whitegrid\")\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "vix = quandl.get(\"YAHOO/INDEX_VIX\", authtoken=\"YOUR-KEY\")\n", "vix.index = pd.to_datetime(vix.index)\n", "vix.drop({\"Open\", \"High\", \"Low\", \"Close\", \"Volume\"}, inplace=True, axis=1)\n", "vix.columns = [\"close\"]\n", "vix[\"pct\"] = np.log(vix[\"close\"]).diff()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets look at all instances where Vix closed below 10 (if prev close was >= 10)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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887nrrrv49ddfU9rO2/zV7/dXW4Zu3brFLM+fP5/BgwczLgt9BAR8O+2EzzM6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\n/OqrFM+YEV3O7dSJvEMOSbp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heat = vix[(vix[\"close\"].shift(1) > 10) & (vix[\"close\"] < 10)].transpose().iloc[:1]\n", "heat.columns = heat.columns.map(lambda x: x.strftime(\"%Y-%m-%d\"))\n", "\n", "cmap = sns.dark_palette(\"red\", as_cmap=True)\n", "\n", "fig, ax = plt.subplots(1, figsize=(16, 9))\n", "ax = sns.heatmap(heat, square=True, cmap=cmap, linewidths=1,\n", " annot=True, cbar=False, annot_kws={\"size\":42}, fmt=\"g\")\n", "ax.axes.get_yaxis().set_visible(False)\n", "plt.title(\"All Vix closes < 10 since 1993 (if previous close was >= 10)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Closes below 10 are rare" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ronald/anaconda/lib/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", " warnings.warn(\"No labelled objects found. \"\n" ] }, { "data": { "image/png": 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R+KbmUqQTwWCQ//7v/3bUZ86cqb0sRUREOqHmUqQTq1atoqmpyVG/4YYbfEgj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\nSTraWFzWYaJ9Lg8dOjTsenBwcKKRJEmSWorFZR0m0ufyscc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ecd = np.arange(1, len(vix)+1) / len(vix)\n", "\n", "plt.figure(figsize=(11, 11))\n", "plt.plot(np.sort(vix[\"close\"]), ecd, linestyle=\"none\", marker=\".\", alpha=0.55, color=\"#555555\")\n", "plt.axvline(10, linestyle=\"--\", color=\"crimson\")\n", "plt.grid(alpha=0.21)\n", "plt.title(\"Vix daily close values Ecdf\")\n", "plt.xlabel(\"Vix close\")\n", "plt.ylabel(\"Percentage of closes that are less than corresponding closes on x\")\n", "plt.legend(loc=\"center right\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nothing to see here" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ronald/anaconda/lib/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", " warnings.warn(\"No labelled objects found. \"\n" ] }, { "data": { "image/png": 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wODN/kpmfpYSWZ7RbliRJUjHmaaCI2DQzr6VcGO5fIqJ39SvbLkySJAnGn7Py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\nOYqezcbrj64lwIVTWtX0GK8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def rets(df, shift):\n", " out = (df.shift(-shift) / df) - 1\n", " return out\n", "\n", "rets_21 = rets(vix[\"close\"], 21).where((vix[\"close\"].shift(1) >= 10) & (vix[\"close\"] < 10)).dropna()\n", "vix_21 = vix[\"close\"][(vix[\"close\"].shift(1) >= 10) & (vix[\"close\"] < 10)].iloc[:-1]\n", "\n", "\n", "plt.figure(figsize=(9, 9))\n", "plt.scatter(vix_21, rets_21, color=\"crimson\", alpha=0.89, s=34, label=\"_nolabel_\")\n", "plt.grid(alpha=0.21)\n", "plt.title(\"VIx returns 21 days after large single day declines\")\n", "plt.ylabel(\"Vix % return 21 days later\")\n", "plt.xlabel(\"Vix single day decline pct (from close to close)\")\n", "plt.axhline(linestyle=\"--\", linewidth=1, color=\"#333333\")\n", "plt.legend(loc=\"upper left\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "According to the few past instances, Vix should live’n up in the coming days" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bB8Ke53Hnzh1AN4+kcfXuKFy5LKSVvrbb+6tIuym4isiul8lkWFlZYWRkhIGB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/j4uO02S63ve+rUKRQKBd0L7PR+EW8+eQbkrzTENqQq6n/yl0j8m+9xdD07Y7ZL7fYG9t7xi6hd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def getRets(df, days):\n", " df = df.reset_index()\n", " df_out = pd.DataFrame()\n", " for index, row in df.iterrows():\n", " if df[\"close\"].iloc[index-1] >= 10 and df[\"close\"].iloc[index] < 10:\n", " ret = df[\"pct\"].iloc[index:index+days]\n", " #ret = np.log(ret).diff()\n", " ret.iloc[:1] = 0\n", " ret.reset_index(drop=True, inplace=True)\n", " df_out[index] = ret\n", " \n", " return df_out\n", "\n", "vix_21rets = getRets(vix, 90+1)\n", "\n", "plt.figure(figsize=(16, 9))\n", "plt.plot(vix_21rets.cumsum(), color=\"#555555\", alpha=0.34, label=\"_nolegend_\")\n", "plt.plot(vix_21rets.mean(axis=1).cumsum(), color=\"crimson\", label=\"Mean rets\")\n", "plt.grid(alpha=0.21)\n", "plt.title(\"Vix returns after closing below 10\")\n", "plt.ylabel(\"Vix % return\")\n", "plt.xlabel(\"Days after closing below 10\")\n", "plt.axhline(linestyle=\"--\", linewidth=1, color=\"#333333\")\n", "plt.xticks(np.arange(0, 90+1, 5))\n", "plt.legend(loc=\"upper left\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Thanks your time and feel free to leave a comment" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }