option_straddles.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Power profits like traders with option straddles\n",
    "\n",
    "Traders use options to define the risk of a trade before entering the position. They do this by modeling the payoff and uncovering the breakeven points. The breakeven points are the prices of the underlying where the options start to make or lose money.\n",
    "\n",
    "Straddles are used to trade volatility of the underlying instrument which is otherwise not possible using “linear” products like stocks and futures.\n",
    "\n",
    "Traders use straddles when they believe the price of the underlying will move significantly but is unsure in which direction.\n",
    "\n",
    "The market prices can be combined with the payoff at expiration to design a risk profile.\n",
    "\n",
    "By understanding this method, we can make more informed decisions about your trading strategies."
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "1c4518307d766730"
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [
    {
     "data": {
      "text/plain": "\u001B[33mForecasting Toolkit is disabled. To use the Forecasting features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/\u001B[0m\n\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #808000; text-decoration-color: #808000\">Forecasting Toolkit is disabled. To use the Forecasting features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/</span>\n\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[33mPortfolio Optimization Toolkit is disabled. To use the Optimization features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/\u001B[0m\n\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #808000; text-decoration-color: #808000\">Portfolio Optimization Toolkit is disabled. To use the Optimization features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/</span>\n\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import libraries\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from openbb_terminal.sdk import openbb\n",
    "\n",
    "chains = openbb.stocks.options.chains(\"AAPL\")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-23T11:57:42.258111Z",
     "start_time": "2023-08-23T11:57:35.558714Z"
    }
   },
   "id": "9fd5932decaec830"
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "expirations = chains.expiration.unique()\n",
    "calls = chains[\n",
    "    (chains.optionType == \"call\") \n",
    "    & (chains.expiration == expirations[0])\n",
    "]\n",
    "\n",
    "puts = chains[\n",
    "    (chains.optionType == \"put\") \n",
    "    & (chains.expiration == expirations[0])\n",
    "]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-23T11:57:50.667268Z",
     "start_time": "2023-08-23T11:57:50.661530Z"
    }
   },
   "id": "aab99fb8ed16f9a7"
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [],
   "source": [
    "calls_strike = calls.set_index(\"strike\")\n",
    "puts_strike = puts.set_index(\"strike\")\n",
    "\n",
    "joined = calls_strike.join(\n",
    "    puts_strike, \n",
    "    how=\"left\", \n",
    "    lsuffix=\"_call\", \n",
    "    rsuffix=\"_put\"\n",
    ")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-23T11:58:00.823696Z",
     "start_time": "2023-08-23T11:58:00.813022Z"
    }
   },
   "id": "bfb952aa8699dc4c"
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [],
   "source": [
    "# Finally, get the price of the straddles for each strike price.\n",
    "\n",
    "prices = joined[[\"lastPrice_call\", \"lastPrice_put\"]]\n",
    "\n",
    "prices[\"straddle_price\"] = prices.sum(axis=1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-23T11:58:22.018628Z",
     "start_time": "2023-08-23T11:58:22.007081Z"
    }
   },
   "id": "e3f216b8633ee123"
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Design a risk profile\n",
    "\n",
    "Computing the price of a straddle at expiration is easy."
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "78261db1f7f76ed4"
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "call_payoff = lambda s, k: np.maximum(s - k, 0)\n",
    "put_payoff = lambda s, k: np.maximum(k - s, 0)\n",
    "\n",
    "straddle_payoff = lambda s, k: call_payoff(s, k) + put_payoff(s, k)\n",
    "\n",
    "s = np.arange(140, 240, 1)\n",
    "k = 190\n",
    "payoffs = straddle_payoff(s, k) - prices.straddle_price.at[190]\n",
    "\n",
    "plt.plot(s, payoffs)\n",
    "plt.title(\"Straddle payoff at expiration\")\n",
    "plt.axhline(y=0)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-23T11:58:42.544842Z",
     "start_time": "2023-08-23T11:58:42.387907Z"
    }
   },
   "id": "88bf4fd2e77c650e"
  },
  {
   "cell_type": "markdown",
   "source": [
    "The call_payoff function calculates the payoff of a call option. s is the price of the underlying asset, and k is the strike price of the option.\n",
    "\n",
    "For a call option, if the price of the underlying asset is greater than the strike price, the payoff is the difference between them. Otherwise, the payoff is zero.\n",
    "\n",
    "It’s the opposite for a put option.\n",
    "\n",
    "The payoff of a straddle is the sum of the payoffs from the call and the put.\n",
    "\n",
    "To generate the risk profile plot, create a range of underlying stock prices using NumPy and set the strike price.\n",
    "\n",
    "Finally, compute the payoffs and plot the risk profile. This line effectively calculates the profit or loss from the straddle strategy at different prices of the underlying asset.\n",
    "\n",
    "As a trader, you know that if the underlying stock price does not move outside the intersection of the straddle payoff and 0 at expiration—the breakevens—the trade will lose money."
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "f286b8f77b9beceb"
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "96096479aedcdc05"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
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 },
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