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Last active August 25, 2023 10:40
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3d-black-scholes-delta-graphing.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/CY0xZ/29dd58428d56059363849b77ff560eab/3d-black-scholes-delta-graphing.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "kMQkEImMjSea"
},
"source": [
"#http://www.smileofthales.com/wp-content/uploads/2015/04/Greeks1.pdf\n",
"import numpy as np\n",
"from math import sqrt, pi,log, e\n",
"from enum import Enum\n",
"import scipy.stats as stat\n",
"from scipy.stats import norm\n",
"import time\n",
"\n",
"class BSMerton:\n",
" def __init__(self, args):\n",
" self.Type = int(args[0]) # 1 for a Call, - 1 for a put\n",
" self.S = float(args[1]) # Underlying asset price\n",
" self.K = float(args[2]) # Option strike K\n",
" self.r = float(args[3]) # Continuous risk fee rate\n",
" self.q = float(args[4]) # Dividend continuous rate\n",
" self.T = float(args[5]) / 365.0 # Compute time to expiry\n",
" self.sigma = float(args[6]) # Underlying volatility\n",
" self.sigmaT = self.sigma * self.T ** 0.5# sigma*T for reusability\n",
" self.d1 = (log(self.S / self.K) +\n",
" (self.r - self.q + 0.5 * (self.sigma ** 2))\n",
" * self.T) / self.sigmaT\n",
" self.d2 = self.d1 - self.sigmaT\n",
" [self.Delta] = self.delta()\n",
"\n",
" def delta(self):\n",
" dfq = e ** (-self.q * self.T)\n",
" if self.Type == 1:\n",
" return [dfq * norm.cdf(self.d1)]\n",
" else:\n",
" return [dfq * (norm.cdf(self.d1) - 1)]"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "lAk3PvCtWc1l",
"outputId": "aa3d9e42-da5c-45fa-8fde-44f3edcdc8cf",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 310
}
},
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import math\n",
"from matplotlib import cm\n",
"#import OptionsAnalytics\n",
"#from OptionsAnalytics import BSMerton\n",
"\n",
"# Option parameters\n",
"sigma = 0.2\t# Flat volatility\n",
"strike = 100\t# Fixed strike\n",
"epsilon = 0.5\t# The % on the left/right of Strike.\n",
"# Asset prices are centered around Spot (\"ATM Spot\")\n",
"shortexpiry = 30\t# Shortest expiry in days\n",
"longexpiry = 500\t# Longest expiry in days\n",
"riskfree = 0.05\t# Continuous risk free rate\n",
"divrate = 0.00\t# Continuous div rate\n",
"# Grid definition\n",
"dx, dy = 50, 60\t# Steps throughout asset price and expiries axis\n",
"#\txx:\tAsset\tprice\taxis ,\tyy:\texpiry\taxis ,\tzz:\tgreek\taxis\n",
"xx, yy = np.meshgrid(np.linspace(strike*(1-epsilon), (1+epsilon)*strike, dx),\n",
"np.linspace(shortexpiry ,\tlongexpiry ,\tdy))\n",
"print(\"Calculating greeks ...\")\n",
"zz = np.array([BSMerton([1,x,strike,riskfree,divrate,y,sigma]).Delta for\n",
"x,y in zip(np.ravel(xx), np.ravel(yy))])\n",
"zz = zz.reshape(xx.shape)\n",
"# Plot greek surface\n",
"print(\"Plotting surface ...\")\n",
"fig = plt.figure()\n",
"fig.suptitle(\"Call Delta\",fontsize=20)\n",
"ax = fig.gca(projection=\"3d\")\n",
"surf = ax.plot_surface(xx, yy, zz,rstride=1, cstride=1,alpha=1,cmap=cm.RdYlBu)\n",
"ax.set_xlabel(\"Asset price\")\n",
"ax.set_ylabel(\"Expiry\")\n",
"ax.set_zlabel(\"Delta\")\n",
"# Plot 3D contour\n",
"zzlevels = np.linspace(zz.min(),zz.max(),num=30,endpoint=True)\n",
"xxlevels = np.linspace(xx.min(),xx.max(),num=30,endpoint=True)\n",
"yylevels = np.linspace(yy.min(),yy.max(),num=30,endpoint=True)\n",
"cset = ax.contourf(xx, yy, zz, zzlevels, zdir=\"z\",offset=zz.min(),\n",
"cmap=cm.RdYlBu,linestyles=\"dashed\")\n",
"cset = ax.contourf(xx, yy, zz, xxlevels, zdir=\"x\",offset=xx.min(),\n",
"cmap=cm.RdYlBu,linestyles=\"dashed\")\n",
"cset = ax.contourf(xx, yy, zz, yylevels, zdir=\"y\",offset=yy.max(),\n",
"cmap=cm.RdYlBu,linestyles=\"dashed\")\n",
"for c in cset.collections:\n",
" c.set_dashes([(0, (2.0, 2.0))]) # Dash contours\n",
"plt.clabel(cset,fontsize=10, inline=1)\n",
"ax.set_xlim(xx.min(),xx.max())\n",
"ax.set_ylim(yy.min(),yy.max())\n",
"ax.set_zlim(zz.min(),zz.max())\n",
"ax.relim()\n",
"ax.autoscale_view(True,True,True)\n",
"# Colorbar\n",
"colbar = plt.colorbar(surf, shrink=10.0, extend=\"both\", aspect = 10)\n",
"l,b,w,h = plt.gca().get_position().bounds\n",
"ll,bb,ww,hh = colbar.ax.get_position().bounds\n",
"colbar.ax.set_position([ll, b+0.1*h, ww, h*0.8])\n",
"# Show chart\n",
"plt.show()"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Calculating greeks ...\n",
"Plotting surface ...\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
}
]
}
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