Files
Volt/experiments/SPY-options/basic_model_explore.ipynb
T
2022-06-12 11:16:58 -04:00

439 lines
214 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "3d8b2c23",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Warning no robinhood utils.\n"
]
}
],
"source": [
"import numpy as np\n",
"import datetime as dt\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import torch\n",
"import gpytorch\n",
"import os\n",
"# import robin_stocks.robinhood as r\n",
"import pickle5 as pickle\n",
"import pandas as pd\n",
"# sns.set_style(\"white\")\n",
"# sns.set_palette(\"bright\")\n",
"sns.set(font_scale=1.5)\n",
"sns.set_style(\"white\")\n",
"\n",
"import sys\n",
"sys.path.append(\"../\")\n",
"from voltron.means import LogLinearMean\n",
"from voltron.models import BMGP, VoltronGP, MaternGP, SMGP\n",
"from gpytorch.kernels import ScaleKernel, RBFKernel, MaternKernel\n",
"from voltron.train_utils import TrainBasicModel"
]
},
{
"cell_type": "markdown",
"id": "ba337d0d",
"metadata": {},
"source": [
"## Options Helpers"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "61523f0d",
"metadata": {},
"outputs": [],
"source": [
"def GetTrainingData(SPY, date, N):\n",
" idx = SPY[SPY[\"Date\"] == date].index.item()\n",
" return SPY['Close'].iloc[(idx-N):idx]\n",
"\n",
"def GetTrueValue(SPY, date, strike):\n",
" close_px = SPY['Close'][SPY[\"Date\"] == date].item()\n",
" return np.maximum(close_px-strike, 0)\n",
"\n",
"def GetTradingDays(SPY, start, stop):\n",
" start_idx = SPY[SPY[\"Date\"] == start].index.item()\n",
" stop_idx = SPY[SPY[\"Date\"] == stop].index.item()\n",
" return stop_idx-start_idx\n",
"\n",
"def FindLastTradingDays(SPY, dates):\n",
" last_days = []\n",
" for date in dates:\n",
" last_days.append(np.max(np.where(SPY.Date < date)[0]))\n",
" \n",
" return np.array(SPY.Date[last_days])"
]
},
{
"cell_type": "markdown",
"id": "85bc2e35",
"metadata": {},
"source": [
"## Data"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7d014904",
"metadata": {},
"outputs": [],
"source": [
"SPY = pd.read_csv(\"./data/SPY_prices.csv\")\n",
"SPY['Date'] = pd.to_datetime(SPY['Date'])"
]
},
{
"cell_type": "markdown",
"id": "19d1fee1",
"metadata": {},
"source": [
"## Data Setup"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "eb96fc66",
"metadata": {},
"outputs": [],
"source": [
"ntrain = 252\n",
"options = pd.read_csv(\"./data/SPY_\" + str(2013) + \".csv\")\n",
"options.expiration = pd.to_datetime(options.expiration)\n",
"options.quotedate = pd.to_datetime(options.quotedate)\n",
"qday = options.quotedate.unique()[0]\n",
"options = options[(options.quotedate == qday) & (options.type=='call')]\n",
"edays = options.expiration.sort_values().unique()\n",
"testdays = (edays - qday)/np.timedelta64(1, \"D\")\n",
"edays = edays[(testdays > 100) & (testdays < 500)]\n",
"lastdays = FindLastTradingDays(SPY, edays)\n",
"ntests = np.array([GetTradingDays(SPY, qday, pd.Timestamp(ld)) \n",
" for ld in lastdays])\n",
"fulltest = ntests[-1]\n",
"\n",
"\n",
"train_y = torch.FloatTensor(GetTrainingData(SPY, qday, ntrain).to_numpy())\n",
"test_y = torch.FloatTensor(GetTrainingData(SPY, \n",
" pd.Timestamp(lastdays[-1]),\n",
" fulltest).to_numpy())\n",
"full_x = torch.arange(ntrain+fulltest).type(torch.FloatTensor)\n",
"full_x = full_x/252.\n",
"dt = full_x[1] - full_x[0]\n",
"train_x = full_x[:ntrain]\n",
"test_x = full_x[ntrain:]"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "1991167e",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"## train data gp ##\n",
"dmod, dlh = TrainBasicModel(train_x, train_y, train_iters=1000, model_type=\"SM\", mean_func=\"constant\")"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "0c218e4f",
"metadata": {},
"outputs": [],
"source": [
"nvol = 100\n",
"npx = 100\n",
"px_samples = torch.zeros(npx*nvol, len(edays))\n",
"px_paths = torch.zeros(npx*nvol, fulltest)\n",
"dmod.eval();\n",
"\n",
"for vidx in range(nvol):\n",
" px_pred = dlh(dmod(test_x)).sample(torch.Size((npx,))).exp()\n",
" px_paths[vidx*npx:(vidx*npx + npx), :] = px_pred.detach()\n",
" px_samples[vidx*npx:(vidx*npx+npx), :] = px_pred[:, ntests-1].detach()\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "6b410709",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 600x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"colors = [\"#1b4079\",\"#3db2ff\",\"#ffedda\",\"#ffb830\",\"#ff2442\",\"#61210f\",\"#32373b\"]\n",
"colors = [\"#0c4767\",\"#8A95A5\", \"#F4442E\", \"#566e3d\",\"#b9a44c\",\"#fa7921\",\"#fe9920\"]\n",
"colors = [\"#01295F\",\"#437F97\", \"#F4442E\", \"#566e3d\",\"#b9a44c\",\"#fa7921\",\"#fe9920\"]\n",
"fs = 16\n",
"\n",
"fig, ax = plt.subplots(1,1, figsize=(6, 3.6), dpi=100)\n",
"\n",
"dt = 1./252\n",
"\n",
"# ax.plot(train_x, vol/dt**0.5, c=colors[0], label='GPCV Vol.')\n",
"# vmod.eval();\n",
"# samples = vmod(test_x).sample(torch.Size((20,))).exp().detach()\n",
"# ax.plot(test_x, samples[0]/dt**0.5, c=colors[-2], alpha=0.5,\n",
"# lw=0.7, label=\"Simulations\")\n",
"# ax.plot(test_x, samples[1:8].T/dt**0.5, c=colors[-2], alpha=0.5,\n",
"# lw=0.7)\n",
"\n",
"# ax.set_xlabel(\"Days\")\n",
"# ax.set_ylabel(\"Volatility\")\n",
"# ax.set_title(\"Volatility Simulations\")\n",
"# ax.legend(fontsize=fs-2, frameon=False)\n",
"\n",
"ax.plot(train_x, train_y, c=colors[0], label=\"Train\")\n",
"\n",
"ax.plot(test_x, px_paths[1:20, :].T, c=colors[-1], alpha=0.5,\n",
" lw=0.5)\n",
"# ax[1].plot(test_x, px_paths[0, :].T, c=colors[-1], alpha=0.5,\n",
"# lw=0.2, label=\"Simulations\")\n",
"\n",
"ax.plot(test_x, test_y, c=colors[1], lw=2., label=\"Test\")\n",
"ax.plot(test_x, px_paths[0, :].T, c=colors[-2], alpha=0.5,\n",
" lw=0.5, label=\"Simulations\")\n",
"sns.rugplot(x=test_x[ntests-1], ax=ax, color=colors[2], height=0.1, label=\"Expirations\")\n",
"ax.legend(fontsize=fs-2, frameon=False)\n",
"ax.set_xlabel(\"Days\")\n",
"ax.set_ylabel(\"Price\")\n",
"ax.set_title(\"Price Simulations\")\n",
"# plt.savefig(\"./option_diffusions.pdf\", bbox_inches=\"tight\")\n",
"sns.despine()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "2bac7474",
"metadata": {},
"outputs": [],
"source": [
"logger = []\n",
"days = np.datetime_as_string(edays, 'D')\n",
"for day in range(px_samples.shape[1]):\n",
" for smpl in range(px_samples.shape[0]):\n",
" logger.append([px_samples[smpl, day].item(), days[day][5:]])\n",
" \n",
"df = pd.DataFrame(logger)\n",
"df.columns = ['Price', 'Date']"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "876976aa",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8,5))\n",
"violins = sns.violinplot(x='Date', y='Price', data=df, color=colors[-1])\n",
"for violin in violins.collections[::2]:\n",
" violin.set_alpha(0.5)\n",
" violin.set_edgecolor(colors[-2])\n",
"# violin.set_facecolor(colors[-2])\n",
"\n",
"# parts = ax.violinplot(dataset=px_samples.T,positions=range(px_samples.shape[1]))\n",
"# for pc in parts['bodies']:\n",
"# pc.set_facecolor(colors[2])\n",
"# pc.set_edgecolor(colors[3])\n",
"# pc.set_alpha(1)\n",
"plt.scatter(np.arange(px_samples.shape[1]), test_y[ntests-1], color=colors[1], zorder=4, s=80,\n",
" label=\"Observed Price\")\n",
"plt.xlabel(\"Expirations\")\n",
"plt.xticks(rotation=45)\n",
"sns.despine()\n",
"plt.legend(loc=\"upper left\",frameon=False, fontsize=fs-4)\n",
"plt.title(\"Predicted Price Distributions\")\n",
"# plt.savefig(\"./distribution_plot.pdf\", bbox_inches='tight')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "ef9e8f53",
"metadata": {},
"outputs": [],
"source": [
"def Pricer(mc_pxs, options, edays, true_pxs):\n",
" logger = []\n",
" for eday_idx, eday in enumerate(edays):\n",
" eday = pd.Timestamp(eday)\n",
" opts = options[options.expiration==pd.Timestamp(eday)]\n",
" for idx, row in opts.iterrows():\n",
" K = row.strike\n",
" bid = row.bid\n",
" ask = row.ask\n",
" valuation = np.mean(np.maximum(mc_pxs[:, eday_idx].numpy() - K, 0))\n",
" rtn = np.maximum(true_pxs[eday_idx] - K, 0)\n",
" logger.append([eday, K, bid, ask, valuation, rtn.item()])\n",
" \n",
" df = pd.DataFrame(logger)\n",
" df.columns = ['Expiry', \"Strike\", \"Bid\", \"Ask\", \"Voltron\", \"Return\"]\n",
" return df"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "016d7372",
"metadata": {},
"outputs": [],
"source": [
"option_output = Pricer(px_samples, options, edays, test_y[ntests-1])"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "d4f6fcb4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2014-06-30T00:00:00.000000000\n"
]
}
],
"source": [
"idx = 3\n",
"print(edays[idx])\n",
"dat = option_output[option_output.Expiry == option_output.Expiry.unique()[idx]]"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "f9f405ee",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(dat.Strike, dat.Voltron, c='steelblue', label=\"Voltron\")\n",
"plt.plot(dat.Strike, dat.Return, c='green', label=\"Truth\")\n",
"plt.fill_between(dat.Strike, dat.Bid, dat.Ask, color='OrangeRed',\n",
" label=\"Market Bid/Ask\")\n",
"plt.ylabel(\"price (return)\")\n",
"plt.xlabel(\"Strike\")\n",
"plt.legend(fontsize=14)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "3d718747",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(dat.Strike, np.abs(dat.Return-dat.Voltron), label=\"Voltron\")\n",
"plt.fill_between(dat.Strike, np.abs(dat.Return-dat.Ask),\n",
" np.abs(dat.Return-dat.Bid),\n",
" color=\"OrangeRed\", alpha=0.5, label='Bid/Ask')\n",
"plt.ylabel(\"Abs. Distance to True Payoff\", fontsize=18)\n",
"plt.xlabel(\"Strike\")\n",
"plt.axvline(train_y[-1], label=\"ATM\", c='k', ls='--')\n",
"plt.legend(fontsize=14)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "918deec6",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "d3d5be72",
"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": "3.8.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}