docs/source/examples/Monte Carlo Options.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Parallel Monto-Carlo options pricing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook shows how to use `ipyparallel` to do Monte-Carlo options pricing in parallel. We will compute the price of a large number of options for different strike prices and volatilities."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problem setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are the basic parameters for our computation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "price = 100.0  # Initial price\n",
    "rate = 0.05  # Interest rate\n",
    "days = 260  # Days to expiration\n",
    "paths = 10000  # Number of MC paths\n",
    "n_strikes = 6  # Number of strike values\n",
    "min_strike = 90.0  # Min strike price\n",
    "max_strike = 110.0  # Max strike price\n",
    "n_sigmas = 5  # Number of volatility values\n",
    "min_sigma = 0.1  # Min volatility\n",
    "max_sigma = 0.4  # Max volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "strike_vals = np.linspace(min_strike, max_strike, n_strikes)\n",
    "sigma_vals = np.linspace(min_sigma, max_sigma, n_sigmas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Strike prices:  [ 90.  94.  98. 102. 106. 110.]\n",
      "Volatilities:  [0.1   0.175 0.25  0.325 0.4  ]\n"
     ]
    }
   ],
   "source": [
    "print(\"Strike prices: \", strike_vals)\n",
    "print(\"Volatilities: \", sigma_vals)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Monte-Carlo option pricing function"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following function computes the price of a single option.  It returns the call and put prices for both European and Asian style options."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def price_option(S=100.0, K=100.0, sigma=0.25, r=0.05, days=260, paths=10000):\n",
    "    \"\"\"\n",
    "    Price European and Asian options using a Monte Carlo method.\n",
    "\n",
    "    Parameters\n",
    "    ----------\n",
    "    S : float\n",
    "        The initial price of the stock.\n",
    "    K : float\n",
    "        The strike price of the option.\n",
    "    sigma : float\n",
    "        The volatility of the stock.\n",
    "    r : float\n",
    "        The risk free interest rate.\n",
    "    days : int\n",
    "        The number of days until the option expires.\n",
    "    paths : int\n",
    "        The number of Monte Carlo paths used to price the option.\n",
    "\n",
    "    Returns\n",
    "    -------\n",
    "    A tuple of (E. call, E. put, A. call, A. put) option prices.\n",
    "    \"\"\"\n",
    "    from math import exp, sqrt\n",
    "\n",
    "    import numpy as np\n",
    "\n",
    "    h = 1.0 / days\n",
    "    const1 = exp((r - 0.5 * sigma**2) * h)\n",
    "    const2 = sigma * sqrt(h)\n",
    "    stock_price = S * np.ones(paths, dtype='float64')\n",
    "    stock_price_sum = np.zeros(paths, dtype='float64')\n",
    "    for j in range(days):\n",
    "        growth_factor = const1 * np.exp(const2 * np.random.standard_normal(paths))\n",
    "        stock_price = stock_price * growth_factor\n",
    "        stock_price_sum = stock_price_sum + stock_price\n",
    "    stock_price_avg = stock_price_sum / days\n",
    "    zeros = np.zeros(paths, dtype='float64')\n",
    "    r_factor = exp(-r * h * days)\n",
    "    euro_put = r_factor * np.mean(np.maximum(zeros, K - stock_price))\n",
    "    asian_put = r_factor * np.mean(np.maximum(zeros, K - stock_price_avg))\n",
    "    euro_call = r_factor * np.mean(np.maximum(zeros, stock_price - K))\n",
    "    asian_call = r_factor * np.mean(np.maximum(zeros, stock_price_avg - K))\n",
    "    return (euro_call, euro_put, asian_call, asian_put)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can time a single call of this function using the `%timeit` magic:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 75.9 ms, sys: 9.47 ms, total: 85.4 ms\n",
      "Wall time: 90.6 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(np.float64(12.292386227996472),\n",
       " np.float64(7.565358135751658),\n",
       " np.float64(6.843004428201171),\n",
       " np.float64(4.4762283778996155))"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time result = price_option(S=100.0, K=100.0, sigma=0.25, r=0.05, days=260, paths=10000)\n",
    "result  # noqa"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Parallel computation across strike prices and volatilities"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Client is used to setup the calculation and works with all engines."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Starting 10 engines with <class 'ipyparallel.cluster.launcher.LocalEngineSetLauncher'>\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f396267483a54ca9bcda1798d201ae4d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?engine/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import ipyparallel as ipp\n",
    "\n",
    "rc = ipp.Cluster().start_and_connect_sync()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A `LoadBalancedView` is an interface to the engines that provides dynamic load\n",
    "balancing at the expense of not knowing which engine will execute the code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "view = rc.load_balanced_view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Submit tasks for each (strike, sigma) pair. Again, we use the `%%timeit` magic to time the entire computation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "async_results = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 38.4 ms, sys: 12.1 ms, total: 50.5 ms\n",
      "Wall time: 348 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "for strike in strike_vals:\n",
    "    for sigma in sigma_vals:\n",
    "        # This line submits the tasks for parallel computation.\n",
    "        ar = view.apply_async(price_option, price, strike, sigma, rate, days, paths)\n",
    "        async_results.append(ar)\n",
    "\n",
    "rc.wait(async_results)  # Wait until all tasks are done."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "30"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(async_results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Process and visualize results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Retrieve the results using the `get` method:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = [ar.get() for ar in async_results]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assemble the result into a structured NumPy array."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "prices = np.empty(\n",
    "    n_strikes * n_sigmas,\n",
    "    dtype=[('ecall', float), ('eput', float), ('acall', float), ('aput', float)],\n",
    ")\n",
    "\n",
    "for i, price in enumerate(results):\n",
    "    prices[i] = tuple(price)\n",
    "\n",
    "prices.shape = (n_strikes, n_sigmas)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the value of the European call in (volatility, strike) space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Strike Price')"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 1000x618.034 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 560,
       "width": 799
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.contourf(sigma_vals, strike_vals, prices['ecall'])\n",
    "plt.axis('tight')\n",
    "plt.colorbar()\n",
    "plt.title('European Call')\n",
    "plt.xlabel(\"Volatility\")\n",
    "plt.ylabel(\"Strike Price\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the value of the Asian call in (volatility, strike) space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Strike Price')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x618.034 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 560,
       "width": 799
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.contourf(sigma_vals, strike_vals, prices['acall'])\n",
    "plt.axis('tight')\n",
    "plt.colorbar()\n",
    "plt.title(\"Asian Call\")\n",
    "plt.xlabel(\"Volatility\")\n",
    "plt.ylabel(\"Strike Price\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the value of the European put in (volatility, strike) space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Strike Price')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x618.034 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 560,
       "width": 812
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.contourf(sigma_vals, strike_vals, prices['eput'])\n",
    "plt.axis('tight')\n",
    "plt.colorbar()\n",
    "plt.title(\"European Put\")\n",
    "plt.xlabel(\"Volatility\")\n",
    "plt.ylabel(\"Strike Price\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the value of the Asian put in (volatility, strike) space."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Strike Price')"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1000x618.034 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 560,
       "width": 799
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.contourf(sigma_vals, strike_vals, prices['aput'])\n",
    "plt.axis('tight')\n",
    "plt.colorbar()\n",
    "plt.title(\"Asian Put\")\n",
    "plt.xlabel(\"Volatility\")\n",
    "plt.ylabel(\"Strike Price\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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