{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "qORwXg8pWd2i", "pycharm": {} }, "source": [ "\n", "*This notebook contains course material from [CBE40455](https://jckantor.github.io/CBE40455) by\n", "Jeffrey Kantor (jeff at nd.edu); the content is available [on Github](https://github.com/jckantor/CBE40455.git).\n", "The text is released under the [CC-BY-NC-ND-4.0 license](https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode),\n", "and code is released under the [MIT license](https://opensource.org/licenses/MIT).*" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KzKkNGpxWd2j", "pycharm": {} }, "source": [ "\n", "< [Geometric Brownian Motion](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.02-Geometric-Brownian-Motion.ipynb) | [Contents](toc.ipynb) | [Real Options](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.04-Real-Options.ipynb) >

\"Open

\"Download\"" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "kM3RaIYhWd2j", "pycharm": {} }, "source": [ "# Binomial Model for Pricing Options\n", "\n", "This notebooks demonstrates techniques for pricing options using a binomial lattice to model prices of the underlying security or commodity. The notebook makes use of the pandas_datareader library to download pricing information, and the Pyomo modeling library for some example calculations.\n", "\n", " !pip install pandas_datareader" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "gJZ6RiMVWd2k", "pycharm": {} }, "source": [ "## Historical Data\n", "\n", "The first step is download historical data for a selected security or commodity. For the purposes of this notebook, it is useful to choose security of commodities for which there is an active options trading so the pricing model can be compared to real data.\n", "\n", "**Programming note:** Given a stock market symbol, the function ``yahoo_finance`` defined in the following cell creates a pandas data series object ``S`` of historical prices." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "z-lnCwIYWd2l", "outputId": "e4df2555-b244-44e1-cb1d-08aa03ec8360", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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E39DucPHguunsONvItIw4DldY+NP2Ev6ys5SWDt9Q9dRYAw9dNzO4vtXh7pZD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\nr1Ck+j3XJ6tbMWg1wdzNiamxbD5dT02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I8ViXpxKAkc9qBpqtTj77t/3sKWniq+tn8Pk1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\n8jMR6Xe7ImOSScWMfABe2z+yIcnDdU4vmE/67gk7UOMUYdP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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import pandas as pd\n", "import datetime\n", "from pandas_datareader import data, wb\n", "\n", "import requests\n", "\n", "def yahoo_finance(symbol, nYears = 3):\n", " \n", " def get_description(symbol):\n", " \"\"\"\n", " get_symbol(symbol) uses Yahoo to look up a stock trading symbol and \n", " return a description.\n", " \"\"\"\n", " url = 'http://d.yimg.com/autoc.finance.yahoo.com/autoc?query={}®ion=1&lang=en'\n", " result = requests.get(url.format(symbol)).json()\n", " for x in result['ResultSet']['Result']:\n", " if x['symbol'] == symbol:\n", " return x['name']\n", "\n", " # end date is today\n", " end = datetime.datetime.today().date()\n", " start = end - datetime.timedelta(nYears*365)\n", "\n", " # get stock price data. Give it three trys\n", " for nTry in range(0,3):\n", " try:\n", " S = data.DataReader(symbol,\"yahoo\",start,end)['Adj Close']\n", " description = get_description(symbol)\n", " break\n", " except:\n", " pass\n", " S.name = symbol\n", " \n", " # plot data\n", " plt.figure(figsize=(10,4))\n", " S.plot(title=description)\n", " plt.ylabel('Adjusted Close')\n", " plt.grid()\n", " \n", " return S\n", "\n", "S = yahoo_finance('T',1.5)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "891GSAy4Wd2p", "pycharm": {} }, "source": [ "# Fitting Historical Data to Geometric Brownian Motion\n", "\n", "A model for Geometric Brownian Motion can be written in discrete time as\n", "\n", "$$S_{t + \\Delta t} = S_t + \\mu S_t \\Delta t + \\sigma S_t \\sqrt{\\Delta t} Z_t $$\n", "\n", "where $Z_t$ is a normal random variate with zero mean and a standard deviation of one. This could also be written as \n", "\n", "$$ \\ln S_{t + \\Delta t} = \\ln S_t + \\nu \\Delta t + \\sigma \\sqrt{\\Delta t} Z_t $$\n", "\n", "where $\\nu = \\mu -\\frac{\\sigma^2}{2}$. These are two different models for price. The difference between $\\mu$ and $\\nu$, i.e. $\\frac{\\sigma^2}{2}$, is referred to as 'volatility drag.' \n", "\n", "Rearranging each of these models\n", "\n", "\\begin{align*}\n", "r^{lin} & = \\frac{S_{t+\\Delta t} - S_t}{S_t} = \\mu\\Delta t + \\sigma \\sqrt{\\Delta t}Z_t \\sim \\cal{N}(\\mu\\Delta t, \\sigma^2\\Delta t)\\\\\n", "r^{log} & = \\ln S_{t+\\Delta t} - \\ln S_t = \\nu\\Delta t + \\sigma \\sqrt{\\Delta t}Z_t \\sim \\cal{N}(\\nu\\Delta t,\\sigma^2\\Delta t)\\\\\n", "\\end{align*}\n", "\n", "where $\\cal{N}(\\alpha,\\beta)$ denotes the normal distribution with mean $\\alpha$ and variance $\\beta$ (i.e., standard deviation $\\sqrt{\\beta}$).\n", "\n", "The parameters can be estimated from trading data as\n", "\n", "\\begin{align*}\n", "\\hat{\\mu} & = \\frac{1}{\\Delta t} \\mbox{mean}(\\frac{S_{t+\\Delta t} - S_t}{S_t}) \\\\\n", "\\hat{\\nu} & = \\frac{1}{\\Delta t} \\mbox{mean}(\\ln S_{t+\\Delta t} - \\ln S_t) \\\\\n", "\\hat{\\sigma} & = \\frac{1}{\\sqrt{\\Delta t}} \\mbox{stdev}(\\frac{S_{t+\\Delta t} - S_t}{S_t}) \\approx \\frac{1}{\\sqrt{\\Delta t}} \\mbox{stdev}(\\ln S_{t+\\Delta t} - \\ln S_t)\n", "\\end{align*}\n", "\n", "\n", "Note that for trading data time is measured in 'trading days'. On average there are 252 trading days in a year.\n", "\n", "| Period | Trading Days |\n", "| :----: | :----------: |\n", "| Year | 252 |\n", "| Quarter | 63 |\n", "| Month | 21 |\n", "| Weekly | 4.83 |\n", "| Calendar Day | 0.690 |\n", "\n", "Using these data and the above formulae, $\\mu$, $\\nu$, and $\\sigma$ can be rescaled to other units of time. For example, if these are estimated from daily trading data, then on an annualized basis\n", "\n", "\\begin{align*}\n", "\\mu^{annual} & = 252 \\times \\mu^{trading\\ day} \\\\\n", "\\nu^{annual} & = 252 \\times \\nu^{trading\\ day} \\\\\n", "\\sigma^{annual} & = \\sqrt{252} \\times \\sigma^{trading\\ day} \\\\\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "Hqz-M7-BWd2p", "outputId": "c360cb4a-02e7-4e09-a1c0-db7fba388b5f", "pycharm": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Linear Returns\n", " mu = -0.00005847 (annualized = -1.47%)\n", "sigma = 0.01009161 (annualized = 16.02%)\n", "\n", "Log Returns\n", " nu = -0.00010959 (annualized = -2.76%)\n", "sigma = 0.01012156 (annualized = 16.07%)\n" ] }, { "data": { "image/png": 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f8zvZVd2Jw+PHFwjx3OaqqGv5+GAzD6wqZvUgU3TtTh+ZiXEszs3E7Q8a2QP0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\noobh2gQvZhGms99DDKqWsrbVg9+v8J1X9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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "from scipy.stats import norm\n", "\n", "# compute linear and log returns\n", "rlin = (S - S.shift(1))/S.shift(1)\n", "rlog = np.log(S/S.shift(1))\n", "\n", "rlin = rlin.dropna()\n", "rlog = rlog.dropna()\n", "\n", "# plot data\n", "plt.figure(figsize=(10,5))\n", "plt.subplot(2,1,1)\n", "rlin.plot()\n", "plt.title('Linear Returns (daily)')\n", "plt.grid()\n", "plt.tight_layout()\n", "\n", "plt.subplot(2,1,2)\n", "rlog.plot()\n", "plt.title('Log Returns (daily)')\n", "plt.grid()\n", "plt.tight_layout()\n", "\n", "print('\\nLinear Returns')\n", "mu,sigma = norm.fit(rlin)\n", "print(' mu = {0:12.8f} (annualized = {1:.2f}%)'.format(mu,100*252*mu))\n", "print('sigma = {0:12.8f} (annualized = {1:.2f}%)'.format(sigma,100*np.sqrt(252)*sigma))\n", "\n", "print('\\nLog Returns')\n", "nu,sigma = norm.fit(rlog)\n", "print(' nu = {0:12.8f} (annualized = {1:.2f}%)'.format(nu,100*252*nu))\n", "print('sigma = {0:12.8f} (annualized = {1:.2f}%)'.format(sigma,100*np.sqrt(252)*sigma))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "J7R2fB6LWd2s", "pycharm": {} }, "source": [ "## Binomial Model\n", "\n", "The binomial model provides a means of modeling the statistical distribution of future prices. Given a current price $S_t$, there are two possible states for the next observed value $S_{t+\\Delta t}$\n", "\n", "$$S_{t + \\Delta t} = \\begin{cases} u S_t & \\mbox{with probability } p \\\\ d S_t & \\mbox{with probability } 1-p\\end{cases}$$\n", "\n", "where $u$, $d$, and $p$ are chosen to match the statistics of a model based on Geometric Brownian Motion. \n", "The following parameter values are derived in [Luenberger (2013)](https://global.oup.com/ushe/product/investment-science-9780199740086?cc=us&lang=en&),\n", "\n", "\\begin{align*}\n", "p & = \\frac{1}{2} + \\frac{\\nu\\Delta t}{2\\sqrt{\\sigma^2\\Delta t + (\\nu\\Delta t)^2}} \\\\\n", "\\ln u & = \\sqrt{\\sigma^2\\Delta t + (\\nu\\Delta t)^2} \\\\\n", "\\ln d & = - \\sqrt{\\sigma^2\\Delta t + (\\nu\\Delta t)^2} \n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "bPGerNZeWd2t", "outputId": "046205e8-a73a-422f-d939-e5b073bbb9f9", "pycharm": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Probability (p) = 0.4752\n", " Up Return (u) = 1.0475\n", "Down Return (d) = 0.9546\n" ] } ], "source": [ "# Time/period\n", "dt = 21\n", "\n", "p = 0.5 + nu*dt/2/np.sqrt(dt*sigma**2 + (nu*dt)**2)\n", "u = np.exp(np.sqrt(dt*sigma**2 + (nu*dt)**2))\n", "d = np.exp(-np.sqrt(dt*sigma**2 + (nu*dt)**2))\n", "\n", "print('Probability (p) = ', round(p,4))\n", "print(' Up Return (u) = ', round(u,4))\n", "print('Down Return (d) = ', round(d,4))" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "pR2vEDUmWd2w", "pycharm": {} }, "source": [ "The model extends to multiple time steps in a natural way as shown in this diagram:\n", "\n", "![BinomialModel](https://github.com/jckantor/CBE40455/blob/master/notebooks/figures/BinomialModel.png?raw=true)\n", "\n", "Note that each step forward in time introduces an additional state to the set of possible outcomes.\n", "\n", "For the purpose of coding, we will use Python dictionaries to store future prices $S^f$. Future prices are indexed by two subscripts, $k$ and $s$, such that ``Sf[k,s]`` corresponds to the price at time $t + k\\Delta t$ in state $s$.\n", "\n", "We start by setting the initial node equal to the last observed price, $S^f_{0,0} = S_t$. For each $k$ and $s$ there are two subsequent nodes\n", "\n", "\\begin{align*}\n", "S^f_{k + 1, s} & = u S^f_{k,s} \\\\\n", "S^f_{k + 1, s + 1} & = d S^f_{k,s}\n", "\\end{align*}\n", "\n", "These two equations can be combined by eliminating the common term $S^f_{k,s}$ to yield\n", "\n", "\\begin{align*}\n", "S^f_{k + 1, s} & = u S^f_{k,s} \\\\\n", "S^f_{k+1,s+1} & = \\frac{d}{u} S^f_{k+1,s}\n", "\\end{align*}\n", "\n", "These formula can be solved explicit to give\n", "\n", "$$S^f_{k,s} = u^{k-s}d^{s}S^f_{0,0}$$\n", "\n", "which is the formula used below to compute values in the binomial lattice." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "7cHpQpnyWd2w", "outputId": "9aee7e75-1c25-42c5-c4af-b65439fdd2bf", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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6dOG2aBFncNcrbf/3f8DLLwM9evC4Hn8ccHcv+/kLQkm5fRvYsoXvx59/5vu8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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "N = 5\n", "\n", "# initialize Sf\n", "Sf = {}\n", "Sf[0,0] = S[-1]\n", "\n", "# compute values\n", "for k in range(1,N+1):\n", " for s in range(0,k+1):\n", " Sf[k,s] = u**(k-s)*d**s*Sf[0,0]\n", " \n", "%matplotlib inline\n", "def Sdisplay(Sf):\n", " plt.figure(figsize=(10,6))\n", " for k,s in Sf.keys():\n", " plt.plot(k,Sf[k,s],'.',ms=30,color='b')\n", " plt.text(k,Sf[k,s],' {0:.2f}'.format(Sf[k,s]),ha='left',va='center')\n", " if (k > 0) & (s < k):\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s]],'b')\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s+1]],'b')\n", " plt.xlabel('k')\n", " plt.ylabel('Value')\n", " plt.grid()\n", " \n", "Sdisplay(Sf)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "x9c2237iWd2z", "pycharm": {} }, "source": [ "The probability of reaching state $s$ at time step $k$ is denoted by $P_{k,s}$. This can be computed given probability of preceding states and the conditional probabilities $p$ and $1-p$.\n", "\n", "\\begin{align*}\n", "P_{k,s} & = p P_{k-1,s} + (1-p) P_{k-1,s-1}\n", "\\end{align*}\n", "\n", "The following cell evaluates price and probability for a binomial model, and also plot the average price." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "ghyixdayWd20", "outputId": "f8b9d829-9bca-462d-9b00-70786c55fdf3", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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O1x+nqK6ItKg0Vmes9tl+1x/v4unDT4/oXINFZhakFNDW3ebXxyw+LH7UlrHI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\noBjMzykmBjIyzNeICAnURpMEb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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "P = {}\n", "P[0,0] = 1\n", "\n", "for k in range(0,N):\n", " P[k+1,0] = p*P[k,0]\n", " P[k+1,k+1] = (1-p)*P[k,k]\n", " for s in range(1,k+1):\n", " P[k+1,s] = p*P[k,s] + (1-p)*P[k,s-1]\n", "\n", "%matplotlib inline\n", "def SPdisplay(Sf,P,D):\n", " plt.figure(figsize=(10,6))\n", " nPeriods = max([k for k,s in Sf.keys()]) + 1\n", " Sfmean = np.zeros(N+1)\n", " Sfvar = np.zeros(N+1)\n", " for k,s in Sf.keys():\n", " Sfmean[k] += Sf[k,s]*P[k,s]\n", " Sfvar[k] += Sf[k,s]**2*P[k,s]\n", " plt.plot(k,Sf[k,s],'.',ms=30,color='b',alpha=np.sqrt(P[k,s]))\n", " if (k > 0) & (s < k):\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s]],'b',alpha=np.sqrt(P[k-1,s]))\n", " plt.plot([k-1,k],[Sf[k-1,s],Sf[k,s+1]],'b',alpha=np.sqrt(P[k-1,s]))\n", " for k,s in D.keys():\n", " plt.text(k,Sf[k,s],' {0:.2f}'.format(D[k,s]),ha='left',va='center')\n", " plt.plot(range(0,N+1),Sfmean,'r--',lw=3)\n", " Sfstdev = np.sqrt(Sfvar - Sfmean**2)\n", " plt.plot(range(0,N+1),Sfmean + 1.96*Sfstdev,'g--',lw=3)\n", " plt.plot(range(0,N+1),Sfmean - 1.96*Sfstdev,'g--',lw=3)\n", " plt.xlabel('k')\n", " plt.ylabel('Value')\n", " plt.grid()\n", " plt.title('Price Projection with 95% confidence interval')\n", "SPdisplay(Sf,P,P)\n" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "CK7qIP8nWd23", "pycharm": {} }, "source": [ "## European Call Option\n", "\n", "A European Call Option is a contract the provides the holder with the right, but not the obligation, to purchase an asset at a specified price and date in the future. The specified price is generally called the **strike price**, and the specified date is the **expiration date**. \n", "\n", "The purpose of the call option is to reduce the holder's exposure to the risk of increasing prices. An airline, for example, might choose to purchase call options on airplance fuels in order to reduce the risk of selling advance tickets.\n", "\n", "The value of the call option upon expiration depends on the price of underlying asset. If the asset spot price $S$ is greater than the strike price $K$, then the call option is worth the difference $S-K$ because that is amount needed to fulfill the contract in the spot market. \n", "\n", "On the other hand, if the asset price falls below the strike price, then the option contract has no value since the holder could buy the asset on the spot market for less than the strike price.\n", "\n", "$$C_{N,s} = \\max(0, S^f_{N,s})$$\n", "\n", "The next cell demonstrates the terminal value of a european call option where the strike price is equal to the initial price (known as an 'at the money' strike)." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "6mVsYqfhWd23", "outputId": "71d62b8e-ce42-4b52-a43e-8f5262772293", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 6, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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iZoMIN0EQBGFBsFoNn7WODl4XGwuUlHD6joiIubnO8NgwanpqJlnNqrqqcPh/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\nIxi4EREREc0R/x9wXCrLxOdAUQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "K = 36\n", "C = {}\n", "for s in range(0,N+1):\n", " C[N,s] = max(0,Sf[N,s] - K)\n", "\n", "SPdisplay(Sf,P,C)\n", "plt.plot([0,N],[K,K],'y--',lw=3)" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "1laB-NQzWd26", "pycharm": {} }, "source": [ "To price a call option, consider the construction of a portfolio composed of the underlying asset and cash that would have the same payoff. At node $k,s$, the portfolio is given by \n", "\n", "$$C_{k,s} = x_{k,s}S^f_{k,s} + y_{k,s}$$\n", "\n", "where $x_{k,s}$ is the number of units of the underlying asset, and $y_{k,s}$ is the cash component of the portfolio. The subsequent value of the portfolio at $k+1$ has two possible values\n", "\n", "\\begin{align*}\n", "C_{k+1,s} & = x_{k,s}uS^f_{k,s} + (1+r)y_{k,s} \\\\\n", "C_{k+1,s+1} & = x_{k,s}dS^f_{k,s} + (1+r)y_{k,s}\n", "\\end{align*}\n", "\n", "where $r$ is the per period interest rate for cash. Solving for $x_{k,s}$ and $y_{k,s}$,\n", "\n", "\\begin{align*}\n", "x_{k,s} & = \\frac{C_{k+1,s} - C_{k+1,s+1}}{(u-d)S^f_{k,s}} \\\\\n", "y_{k,s} & = \\frac{uC_{k+1,s+1}-dC_{k+1,s}}{(1+r)(u-d)}\n", "\\end{align*}\n", "\n", "Inserting these solutions into the original expression,\n", "\n", "$$C_{k,s} = \\frac{(\\left[(1+r) - d\\right]C_{k+1,s} + \\left[u - (1+r)\\right]C_{k+1,s+1}}{(1+r)(u-d)}$$\n", "\n", "This can be expressed in a far more suggestive form\n", "\n", "$$C_{k,s} = \\frac{1}{1+r}\\left[\\underbrace{\\frac{(1+r)-d}{u-d}}_{q}C_{k+1,s} + \\underbrace{\\frac{u-(1+r)}{u-d}}_{1-q}C_{k+1,s+1}\\right]$$\n", "\n", "or\n", "\n", "$$C_{k,s} = \\frac{1}{1+r}\\left[q C_{k+1,s} + (1-q)C_{k+1,s+1}\\right]$$\n", "\n", "This expression has two important consequences. The first is an interpretation as a 'risk-neutral' probability such that $C_{k,s}$ is the 'expected value' of the call option. This is not the real-world probability! Instead, it is different measure that provides a very useful means of computing the value of options as illustrated in the following diagram.\n", "\n", "![BinomialModel_Options](https://github.com/jckantor/CBE40455/blob/master/notebooks/figures/BinomialModel_Options.png?raw=true)\n", "\n", "The second important consequence is the actual pricing formula. It's linear, for one thing, is easily implemented as a calculation that proceeds backward in time as shown in the diagram above. As can be seen from the derivation, the computation is quite general and can be applied to any option which can be assigned a terminal value." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "BaJyBP9wWd27", "outputId": "42376ba4-ebbe-4743-f8b1-abf1ea21a7dd", "pycharm": {} }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "q = 0.515298973064\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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lirjxijieLLBwYxiGmeYome3Ly71RVES+RcHBoz+e0UgO5SXlvSioqEeAiIaH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f8MZDeZrNSVRlPcGGNWAI4BsKw4zzbO+WLG2CoAEwGUArgOYCbnPMfA/okA8gGoAZTXVSMVmBal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\nGI1GWCwWmEwmWCwWxCvLUt2YzWY0KvlMA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AJ2JjY1FfX39Z98W4DxZrDMMwDONCOjttAwWUmpxVVcD+/UBvbzjCwoCEBBJ03t7qsV5e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\n2WlSloCZI+e74jQ+3gy9ikASr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/vPgPvPb0a1j717UAgMcffxyrV6+GRmjshNpzzz2HP//5zxBCYO7cuXjttdfg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\nVtaB3Nxk9zCoMnwK0HBoejoFf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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "r = 0.030/12\n", "q = (1+r-d)/(u-d)\n", "print('q = ',q)\n", "\n", "C = {}\n", "x = {}\n", "y = {}\n", "\n", "for s in range(0,N+1):\n", " C[N,s] = max(0,Sf[N,s] - K)\n", "\n", "for k in reversed(range(0,N)):\n", " for s in range(0,k+1):\n", " C[k,s] = (q*C[k+1,s]+(1-q)*C[k+1,s+1])/(1+r)\n", " x[k,s] = (C[k+1,s]-C[k+1,s+1])/(u-d)/Sf[k,s]\n", " y[k,s] = C[k,s] - x[k,s]*Sf[k,s]\n", "\n", "SPdisplay(Sf,P,C)\n", "plt.plot([0,N],[K,K],'y--',lw=3)\n", "plt.title('Price of a Call Option')\n", "\n", "SPdisplay(Sf,P,x)\n", "plt.plot([0,N],[K,K],'y--',lw=3)\n", "plt.title('Hedge Ratio')\n", "\n", "SPdisplay(Sf,P,y)\n", "plt.plot([0,N],[K,K],'y--',lw=3)\n", "plt.title('Cash Position')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KxrXgM6uWd2-", "pycharm": {} }, "source": [ "## Implementing a Replicating Portfolio with Pyomo\n", "\n", "A replicating portfolio is the key concept that allows use of the binomial model for pricing options. In a nutshell, the value of an option is the money needed to construct a portfolio exactly replicate the option payoff. \n", "\n", "This concept can be extended to applications involving 'real assets', including processes that convert commodity resources into higher value products. As a first step, let's see how Pyomo can be used to model a replicating portfolio for a European call option.\n", "\n", "We start with an expression for the value of the replicating portfolio at time $k$ in state $s$. For the purpose of later generalization, we use the symbol $W$ to denote wealth,\n", "\n", "$$W_{k,s} = x_{k,s}S^f_{k,s} + y_{k,s}B_k$$\n", "\n", "The portfolio consists of $x_{k,s}$ units of an underlying asset with a price $S^f_{k,s}$ subject to statistical variability, and $y_{k,s}$ units of a 'bond' which has a known future price and therefore depends only on $k$. For example,\n", "\n", "$$B_k = (1 + r_f)^k B_0 $$\n", "\n", "where $r_f$ is a risk-free interest rate. This is the 'cash' component of the portfolio.\n", "\n", "For a European call option we must have enough wealth on-hand to pay off the value of the call option at $k=N$. This requirement can be written as inequalities\n", "\n", "$$W_{N,s} \\geq \\max(0, S^f_{N,s} - K) \\qquad \\forall s\\in{\\cal S}_N $$\n", "\n", "where ${\\cal S}_N$ is the set of possible states at time step $N$. \n", "\n", "At earlier nodes, the value of the portfolio must be sufficient to finance the portfolio as subsequent states. In the binomial model, for each node $(k,s)$ there are two subsequenct states $(k+1,s)$ and $(k+1,s+1)$. This results in two constraints:\n", "\n", "\\begin{align*}\n", "x_{k,s}S^f_{k+1,s} + y_{k,s}B_{k+1} & \\geq W_{k+1,s} \\\\\n", "x_{k,s}S^f_{k+1,s+1} + y_{k,s}B_{k+1} & \\geq W_{k+1,s+1}\n", "\\end{align*}\n", "\n", "What we seek is the minimum cost portfolio at the initial node, i.e.,\n", "\n", "$$\\min_{x,y} W_{0,0}$$\n", "\n", "subject to the above constraints.\n", "\n", "If everything works as expected, the results of this calculation should be the same as those computed using risk-neutral probabilities." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "12t6VVrhWd2-", "outputId": "4014e42d-117b-4a68-8d22-cc54de03b6b2", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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av3xO+Bx0/rZzWoszRxGCnmdgIOXVa2lRLXF1dSTiQkJIxPn7s4hzFBZuDMMw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\nIQoAFAB4Yby2cODGGGOMsSknhEB8WDziw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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "from pyomo.environ import *\n", "\n", "# set of periods and states for each period\n", "Periods = range(0,N+1)\n", "States = range(0,N+1)\n", "\n", "# future bond prices\n", "B = [(1+r)**k for k in Periods]\n", "\n", "m = ConcreteModel()\n", "\n", "# model variables\n", "m.W = Var(Periods,States,domain=Reals)\n", "m.x = Var(Periods,States,domain=Reals)\n", "m.y = Var(Periods,States,domain=Reals)\n", "\n", "# objective\n", "m.OBJ = Objective(expr = m.W[0,0], sense=minimize)\n", "\n", "# constraint list\n", "m.cons = ConstraintList()\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] == m.x[k,s]*Sf[k,s] + m.y[k,s]*(1+r)**k)\n", "\n", "for s in States:\n", " m.cons.add(m.W[N,s] >= max(0,Sf[N,s] - K))\n", "\n", "for k in range(0,N):\n", " for s in range(0,k+1):\n", " m.cons.add(m.x[k,s]*Sf[k+1,s] + m.y[k,s]*B[k+1] >= m.W[k+1,s])\n", " m.cons.add(m.x[k,s]*Sf[k+1,s+1] + m.y[k,s]*B[k+1] >= m.W[k+1,s+1])\n", "\n", "SolverFactory('glpk').solve(m)\n", "\n", "W = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " \n", "SPdisplay(Sf,P,W)\n", "plt.title('Value of a European Call Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "fC7ankZTWd3B", "pycharm": {} }, "source": [ "## European Put Option\n", "\n", "A European put option is the right (without obligation) to sell an asset for specified price on a specified date. The analysis is proceeds exactly as for the European call option, except that the value on the terminal date is given by\n", "\n", "$$P_{N,s} = \\max(0, K-S^f_{N,s}) \\qquad \\forall s\\in{\\cal S}_N $$\n", "\n", "The value of the put option can be computed using the same risk neutral probabilities as for the call option, or by modifying the Pyomo model as shown in the following cell." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "gJDhMBouWd3B", "outputId": "fcb8d85e-0825-44dd-f9ce-143e664169c3", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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G0us0bZpLcabx0nAFABcIQRZUrZZqxCoirrkZaGykKGB7EceMDAs3hmEYxqMM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\nZU1llDWV8Tqvex2Tbk+nMLGQq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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "from pyomo.environ import *\n", "\n", "# set of periods and states for each period\n", "Periods = range(0,N+1)\n", "States = range(0,N+1)\n", "\n", "# future bond prices\n", "B = [(1+r)**k for k in Periods]\n", "\n", "m = ConcreteModel()\n", "\n", "# model variables\n", "m.W = Var(Periods,States,domain=Reals)\n", "m.x = Var(Periods,States,domain=Reals)\n", "m.y = Var(Periods,States,domain=Reals)\n", "\n", "# objective\n", "m.OBJ = Objective(expr = m.W[0,0], sense=minimize)\n", "\n", "# constraint list\n", "m.cons = ConstraintList()\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] == m.x[k,s]*Sf[k,s] + m.y[k,s]*(1+r)**k)\n", "\n", "for s in States:\n", " m.cons.add(m.W[N,s] >= max(0,K - Sf[N,s]))\n", "\n", "for k in range(0,N):\n", " for s in range(0,k+1):\n", " m.cons.add(m.x[k,s]*Sf[k+1,s] + m.y[k,s]*B[k+1] >= m.W[k+1,s])\n", " m.cons.add(m.x[k,s]*Sf[k+1,s+1] + m.y[k,s]*B[k+1] >= m.W[k+1,s+1])\n", "\n", "SolverFactory('glpk').solve(m)\n", "\n", "W = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " \n", "SPdisplay(Sf,P,W)\n", "plt.title('Value of European Put Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vDMVR8haWd3E", "pycharm": {} }, "source": [ "## Early Exercise\n", "\n", "Let's compare the value of the put option to the value of exercising the option. At any node $(k,s)$, the value of exercising the option is $K-S^f_{k,s}$. The next cell compares the value of the European put option to hypothetical value of early exercise." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "JzWbi7MMWd3F", "outputId": "9892faf5-26ac-4d3f-dd4f-a4aab2199285", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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G0us0bZpLcabx0nAFABcIQRZUrZZqxCoirrkZaGykKGB7EceMDAs3hmEYxqMM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\nZU1llDWV8Tqvex2Tbk+nMLGQq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9YmkrKRFx1d0t3ZMFBWJxS00dnXDrjzHSnZqZKRa35mbo6mpmwwbpAj1fv7aw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\nhBBCCDEB/X95Kpe1GrEgYgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "W = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " \n", "SPdisplay(Sf,P,W)\n", "plt.title('Value of European Put Option')\n", "\n", "E = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " E[k,s] = K - Sf[k,s]\n", " \n", "SPdisplay(Sf,P,E)\n", "plt.title('The hypothetical value of early exercise of European Put Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "SZC3edv0Wd3H", "pycharm": {} }, "source": [ "We see several nodes where the value of exercising the option is worth more than the option itself. These would be opportunities for a risk-free profit. If such a circumstance arises, then \n", "\n", "1. buy the put option at price $P_{k,s}$\n", "2. buy the asset at price $S^f_{k,s}$\n", "3. exercise the option to sell at the strike price $K$\n", "\n", "If $K > P_{k,s} + S^f_{k,s}$ then this deal offers a completely risk-free profit." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "vYhrJZs8Wd3I", "outputId": "9c23970b-fae4-41de-eb4a-ca48a38575db", "pycharm": {} }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 28, "metadata": { "tags": [] }, "output_type": "execute_result" }, { "data": { "image/png": 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DMIw5T1+fWtRKSlRQ9fbq0GNBgVrWUlMvTqwNRkSHSjMz1bLW2go9Pa2sX6/D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\ncbyy6nxat/P93zWCgkyAlpFhf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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "Arbitrage = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " Arbitrage[k,s] = max(0,(K - Sf[k,s] - m.W[k,s]()))\n", " \n", "SPdisplay(Sf,P,Arbitrage)\n", "plt.title('Arbitrage value for early exercise of a European Put Option')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "aeusum7GWd3L", "pycharm": {} }, "source": [ "## American Put Option\n", "\n", "Compared to a European option, an American option provides an additional right of early exercise. The holder of the option an choose to exercise the option at any point prior to the expiration date. This additional right can (but does not always add value under certain conditions.\n", "\n", "The opportunity for early exerise adds some complexity to the calculation of value. In the optimization framework, the holder of an American put could always receive value by exercising the option if the market value of the option is less than the exercise value. Thus the exercise value establishes a lower bound on the value of the option at all nodes (not just the terminal nodes)\n", "\n", "$$P_{k,s} \\geq K - S^f_{k,s}$$\n", "\n", "This is demonstrated in the following cell." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "OMTmq2G8Wd3M", "outputId": "985821bf-92b7-4ab4-97be-1140ea875974", "pycharm": {} }, "outputs": [ { "data": { "image/png": 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PiKuvl2DCsbEyOzU2VkXcZKDCTVEURZkRNDU5PmtNTSLWEhMl5VR6usycnA54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5zU0FpAwNhQKmkyceUK2UpGBj3z27UjgjZoENmKs3PdtjJgAG1/9GjdQvKc03EHDSKd7aaEIG4C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\nq7nmmmvIysriscce4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TBAdXs1bxe/zdvFbzv2BfoGsua6NW7fc6ILCDBpJdL6czJ3d5u8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\nk2JkBSsGPb75Xze7zauz0pq097R7nD8lc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z5Lv2iLj6ekkmHBsr0amxsSriJgMVboqiKMqMoKnJ8VlrahKxlpgoJafS0yVy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\npSCxSkk1N5tkwP394fS40vTZ7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"text/plain": [ "" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "from pyomo.environ import *\n", "\n", "# set of periods and states for each period\n", "Periods = range(0,N+1)\n", "States = range(0,N+1)\n", "\n", "# future bond prices\n", "B = [(1+r)**k for k in Periods]\n", "\n", "m = ConcreteModel()\n", "\n", "# model variables\n", "m.W = Var(Periods,States,domain=Reals)\n", "m.x = Var(Periods,States,domain=Reals)\n", "m.y = Var(Periods,States,domain=Reals)\n", "\n", "# objective\n", "m.OBJ = Objective(expr = m.W[0,0], sense=minimize)\n", "\n", "# constraint list\n", "m.cons = ConstraintList()\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] == m.x[k,s]*Sf[k,s] + m.y[k,s]*(1+r)**k)\n", "\n", "for k in Periods:\n", " for s in range(0,k+1):\n", " m.cons.add(m.W[k,s] >= max(0,K - Sf[k,s]))\n", "\n", "for k in range(0,N):\n", " for s in range(0,k+1):\n", " m.cons.add(m.x[k,s]*Sf[k+1,s] + m.y[k,s]*B[k+1] >= m.W[k+1,s])\n", " m.cons.add(m.x[k,s]*Sf[k+1,s+1] + m.y[k,s]*B[k+1] >= m.W[k+1,s+1])\n", "\n", "SolverFactory('glpk').solve(m)\n", "\n", "W = {}\n", "E = {}\n", "for k in range(0,N+1):\n", " for s in range(0,k+1):\n", " W[k,s] = m.W[k,s]()\n", " E[k,s] = np.abs(K-Sf[k,s] - m.W[k,s]()) < 0.01\n", " \n", "SPdisplay(Sf,P,W)\n", "\n", "SPdisplay(Sf,P,E)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "colab": {}, "colab_type": "code", "id": "bee-sDL0Wd3P", "pycharm": {} }, "outputs": [], "source": [] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "M0mNRv7XWd3R", "pycharm": {} }, "source": [ "\n", "< [Geometric Brownian Motion](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.02-Geometric-Brownian-Motion.ipynb) | [Contents](toc.ipynb) | [Real Options](http://nbviewer.jupyter.org/github/jckantor/CBE40455/blob/master/notebooks/07.04-Real-Options.ipynb) >

\"Open

\"Download\"" ] } ], "metadata": { "colab": { "name": "07.03-Binomial-Model-for-Pricing-Options.ipynb", "provenance": [], "version": "0.3.2" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }