{ "metadata": { "name": "", "signature": "sha256:16014d6fdeb78742d4c70010413bbf3b73ca4541ff4aec94aa55153ac2639f13" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python Pandas for Financial Stuff" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import datetime\n", "\n", "import pandas as pd\n", "import pandas.io.data\n", "from pandas import Series, DataFrame\n", "pd.__version__\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "TESLA Motors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thanks to this:\n", "http://nbviewer.ipython.org/github/twiecki/financial-analysis-python-tutorial/blob/master/1.%20Pandas%20Basics.ipynb" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sc='TSLA'\n", "stoxx = pd.io.data.get_data_yahoo(sc, \n", " start=datetime.datetime(2014, 1, 1))\n", "stoxx.head(10)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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OpenHighLowCloseVolumeAdj Close
Date
2014-01-02 149.80 152.48 146.55 150.10 6188400 150.10
2014-01-03 150.00 152.19 148.60 149.56 4695000 149.56
2014-01-06 150.00 150.40 145.24 147.00 5361100 147.00
2014-01-07 147.62 150.40 145.25 149.36 5034100 149.36
2014-01-08 148.85 153.70 148.76 151.28 6163200 151.28
2014-01-09 152.50 153.43 146.85 147.53 5382000 147.53
2014-01-10 148.46 148.90 142.25 145.72 7446100 145.72
2014-01-13 145.78 147.00 137.82 139.34 6316100 139.34
2014-01-14 140.50 162.00 136.67 161.27 27607000 161.27
2014-01-15 168.45 172.23 162.10 164.13 20465600 164.13
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ " Open High Low Close Volume Adj Close\n", "Date \n", "2014-01-02 149.80 152.48 146.55 150.10 6188400 150.10\n", "2014-01-03 150.00 152.19 148.60 149.56 4695000 149.56\n", "2014-01-06 150.00 150.40 145.24 147.00 5361100 147.00\n", "2014-01-07 147.62 150.40 145.25 149.36 5034100 149.36\n", "2014-01-08 148.85 153.70 148.76 151.28 6163200 151.28\n", "2014-01-09 152.50 153.43 146.85 147.53 5382000 147.53\n", "2014-01-10 148.46 148.90 142.25 145.72 7446100 145.72\n", "2014-01-13 145.78 147.00 137.82 139.34 6316100 139.34\n", "2014-01-14 140.50 162.00 136.67 161.27 27607000 161.27\n", "2014-01-15 168.45 172.23 162.10 164.13 20465600 164.13" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "print('Date: %s' % stoxx.index[-1])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Date: 2014-10-02 00:00:00\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Schlusspreis" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.figure(figsize=(16,4))\n", "stoxx['Close'].plot();\n", "plt.ylabel('\\$')\n", "plt.title('Closing Price %s' % sc);\n", "plt.savefig('Closing-Price-TSLA.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HNGcaasBocY3Vakr41Avx3jONwOUvE7j0BXRFwTHnY9Q96yo+CF3Htm7mYU+R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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Financial Stuff" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exponentially Weighted Moving Average" ] }, { "cell_type": "code", "collapsed": false, "input": [ "close_px = stoxx['Adj Close']\n", "mavg10 = pd.ewma(close_px, 10)\n", "mavg30 = pd.ewma(close_px, 30)\n", "plt.figure(figsize=(16,4))\n", "mavg10.plot(label='10days mavg');\n", "mavg30.plot(label='30days mavg');\n", "stoxx['Close'].plot(alpha=0.3);\n", "plt.ylabel('\\$')\n", "plt.title('Exponentially Weighted Moving Averages %s' % (sc));\n", "plt.legend(loc=2)\n", "plt.savefig('Closing-Price-TSLA-EWMA.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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gkriMLZfLxZEjhdhsNiIiIklLyxxSTIKCTERERKJpGnq9geTkVKZOu4DExOR+\nB03V6XTk5OaRnz+V3Ny8PpNYwNs/F6CpqeGcG+14sHEwjnA5PC4BbgT2oV61A/B/gR8AvwXMQKd7\nGlTC+4r7twNYST9Ni4UQQgghhBBiKEpKjtLe3obZHEx29sRTejtGRkY2jY0NxMTEYjKZB7WOXq8n\nPDxiwOWCgy2EhobR3t5Gc3Mj0dGxQy7f2e6Mfp+JNC0WIPEWQgghhBCDV1NTRWnpMQwGA/n5UwkJ\nCR3rIvWpqqqC48dLiImJIydn4lgXZ8yMddNiIYQQQgghhBhTLS1NlJUVA5CZkROwSSxATEwcAE1N\njX2+5udcJ4msEGcY6VMTeCQmgUHiEHgkJoFB4hCYJC6jz2rt4mjRYTRNIzk5lZjYOL/PAy0mZrOZ\n8PAIXC4nTU2NY12cUTPYOEgiK4QQQgghhDirOZ1OjhwpxO6wExUVQ2pq+lgXaVA8tbL19XVjXJLA\nI4nsGWzjxo1cddVVY10MMcp83wsoAoPEJDBIHAKPxCQwSBwCk8RldBUfO0JHRzuWYAvZ2X2/ziYQ\nYxITE4dOp6OlpQmH49xoXjzYOEgiO8puv/128vPzSUtL4/zzz+exxx7z+3zLli3MnDmT1NRUFi9e\nTHl5+RiVVAghhBBCiDNfZWU5DY31GI1GcnLzMBhG68Utpy8oKIiIiEhcLheNjfVjXZyAIonsKPvR\nj37E7t27KSsr45VXXuG5555j8+bNANTX13PTTTfxwAMPcOzYMaZPn86tt946xiUWgSbQ+m8IiUmg\nkDgEHolJYJA4BCaJy+hobm6ivLwUnU5HVtYELJaQfpcNiJhoGoby3Vje/xmhL91E8Ac/J7HyUwz1\nxdRXHx/r0o0K6SMboPLz8wkODvZOGwwGxo0bB8Dbb79Nfn4+ixYtwmQycd999/HVV19RVFQEQEND\nA9dffz3p6elcdtllFBcX+217zZo1TJ06lfT0dObPn8+OHTsAqKmpITU1lcbG7k7ie/fuZcKECTid\nTo4dO8bChQvJyMggNzeX733ve32WvaysjNjYWDZu3MjUqVPJzs7m+eefp6CggLlz55KZmcl9993n\nXb64uJjFixeTk5NDbm4ut99+Oy0tLQA88cQT3Hzzzb3Kv2bNGgBKS0u5+uqrSUtLY8mSJdxzzz3c\ncccdp3LKhRBCCCHEOcozQnFKShpRUdFjXJr+6euOYXn/Z0SsP5+I315K8JYnMH35NpaPfkXqB/cS\n+s4DaM9xdNm8AAAgAElEQVQuJfiR6YQ9/x0s7/4E084XMZR9AdbWsS7+mDhz6tWHycbCmGHb1vV5\nDae03urVq/nzn/+M1Wpl3bp1nHfeeQAUFhYyZcoU73IhISFkZmZSWFhITk4O99xzDxaLhcLCQkpK\nSli2bBkZGRne5WfMmMGaNWuIiIjg6aef5pZbbmHv3r0kJCRwySWX8MYbb3DLLbcA8Je//IVrrrkG\ng8HA2rVrufTSS9m0aRM2m43du3eftPwFBQXs2rWL7du3s2LFChYsWMCbb76JzWZj3rx5LF68mDlz\n5gBw9913M2fOHFpaWrjpppt45JFHWLt2LUuXLmX9+vW0tbURFhaG0+nkrbfe4k9/+hMAt912G7Nn\nz+bNN99k586dLF++XPoDuwVi/41zncQkMEgcAo/EJDBIHAKTxGXkNdTX0dnZgdlkJjExecDlRz0m\nTgdBX72N+fMXCDq61TvbFZ6Ibcq3caZegL6hGEPtISKKDtNUV03TiSqSmssIOrzZu7ym0+NMnIwj\nfSaO9Jk4U6bhis0CvWF0j2eYDDYO51wiGwj+53/+h/Xr17N9+3Zuvvlmpk2bxowZM+jo6CAuzn8Y\n8PDwcNra2nA6nWzatInt27djsVjIz89nxYoVfPLJJ95lr732Wu/fq1at4rHHHqOoqIhJkyaxfPly\nnnvuOW655RacTievv/46GzduBMBkMlFWVkZlZSXJycnMnDnzpOVfvXo1JpOJb37zm4SFhbF06VJi\nY2MBmDVrFvv27WPOnDlkZmaSmZkJQGxsLHfeeSfr168HIDU1lWnTpvHOO++wfPlytm7disViYcaM\nGZSXl7Nnzx7eeustjEYjs2bN4sorr0TTtNM/+UIIIYQQ4pxQUama4iYlp6LXB1BDVFsH5l0bMX/8\nGwyNZQBoQRZs05Zgm3EDjvSZ0KO8wfV1tB05QImrjfBIF4baQ+hrDmGoLcRQU4ixaj/Gqv2w4/dq\ne6ZQnAn5uKLH4wpPwBWeiCt+Ao60i9FCh69ibyydc4nsqdaiDjedTsfcuXNZvHgxr732GjNmzCA0\nNJTWVv+mAS0tLYSFhVFXV4fD4SAlJcX7WWpqqt+yTz75JC+99BLV1dXodDpaW1upr1edwq+66ipW\nr15NWVkZhw8fJiIigvPPPx+ABx98kLVr17JgwQIiIyNZtWoVN9xwQ79lj4+P9/4dHBzsN22xWGhv\nbwegtraW+++/nx07dtDW1oamaURFRXmXXbZsGa+99hrLly/n1VdfZdmyZQBUVVURHR3t1wQ7JSWF\nioqKwZ3cs9y2bdvkKW6AkZgEBolD4JGYBAaJQ2CSuIws39rYuLj4gVdg5GOia6nC/NnzmD/bgL5d\nvU7HGZeDdc4PsJ7/HQiO6HfdyKhoDEEmWpyRtOVciHnywu4PbR0Yywswln6G4fgujJX70DdXYjy+\nE47v7LUt57hcHKkzcCbk4UzIwxU/EVfU+F7J81gZbBzOuUQ20NjtdmJi1FORvLw8/vznP3s/a29v\np6SkhLy8POLi4jAajZSXl5Obq4YM9x3R+NNPP+U3v/kNb7zxBvn5+QBkZWV5azGDg4NZvHgxr7zy\nCkeOHGH58uXedePj43n88ccB2LFjB9dccw2XXHKJX7PlodDpdAD8/Oc/x2Aw8MknnxAZGck777zj\n14d20aJF/OQnP6GyspJ3332Xv//97wAkJibS2NhIZ2cnFovFe6ye7QohhBBCCHEyAVEbq2nomisw\nVuzBtPdvBH21CZ1LvULHkXoBXd/4T+yTrhpUE2CDwUBUVAz19SdoaDhBUpJPhZYpBEfWXBxZ3cmf\nrr0eQ/UB9C1V6Fpr0LdUYajch/F4AYYTRzCcOOJf1KAQnPETcMbn4UyYiCt+okpyo9ICJsHtSRLZ\nUVRXV8eWLVv41re+RXBwMB999BFvvvkmr7/+OgALFy7kpz/9KW+//TYLFixg3bp1TJkyhZycHO/n\njz76KE8++SSlpaW8/PLL3mSzra0No9FIbGwsNpuNxx9/vFft7vLly1m5ciV1dXX85Cc/8c5/4403\nuOiii0hJSSEyMhKdTnfKX3jf5r/t7e1EREQQHh5OZWUlTz75pN+ycXFxXHLJJaxatco70BTA+PHj\nmT59Oo8++igPPPAAu3fv5oMPPuDKK688pTKdbeTpbeCRmAQGiUPgkZgEBolDYJK4jAxN06irqx1y\nbSycZkw0DX1DCYbKvRgq9mGs2IOhch/6ju7WoJregG3KIqyzb8OROQeGWEkTGxvnTmTr/RPZvooT\nGosj+2veabvdhl5vwKA5MVTtx1C5390s+ZBqptxajbFiD8aKPX7bcUalYp19G7aL/h3NEjmk8p4q\n6SMbgHQ6HRs2bGD16tVomkZOTg7PPPMMF1xwAaD6kb7wwgvce++93HHHHVx44YX84Q9/8K6/bt06\n/uM//oO8vDwmTJjADTfcwPbt2wG49NJLmT9/PhdddBGhoaHccccdvZoez5o1C71ez/Tp0/0+27Nn\nDw888ACtra2MGzeOhx9+mLS0tH6PYaBj9Lj33ntZuXIlGRkZZGVlce211/LMM8/4Lb9s2TLuvPNO\nfvazn/nN/93vfseqVavIzs5mxowZLFmyBKfTedJ9CyGEEEKIc4/D4aC2tpqW5ibaO9q894wjXRtr\ncNe0Gir2Yqjci76rpdcyrpAYnCnn4UififXCG9AiU/rY0uBERERhNBppb2+js7PjpK8S8lVTU0VZ\nWTHBwRYmTZoG42fgHD/DbxldZxP6mkIMtYcweH5XH8DQVE7Iez/F8uE6rBdch236tTjTLhpyEj4S\nRqsE44E/AvGABvwO+LX7s7uAlYATeAfwtD29H7jVPf+HwN97bnTz5s2aJwn05Rm0SPS2ZMkSli5d\nyo033jjWRRmSW2+9lYkTJ/o1TfY41+ItfWoCj8QkMEgcAo/EJDBIHALTmRYXl8uFtasLk9mEwTD6\ndWGaplFTU0VTUwOhIWFEREYREhLKiRM1VFdX4HA4vMuazcFER8eQmpo+pER2sDExlH6O5Z//4zdy\nMIArLF4lrcnTcKZMx5FynkpchzHpKy4u4sSJGlKSx5OS2nfFk4emaZSWHqO2tto7Lzk5ldTU9MHt\nzOXCeHgzwdueJujoFu9sZ9R4bOctxTbzZlzRJy/DqegZh4KCAi677LJeJ3G0rkI78GNgDxAG7AL+\nASQCi4Bp7mXGuZefBCx3/04BNgMTANcolfesVFBQwN69e3nxxRfHuigD2r17N1FRUaSnp/Phhx/y\n/vvvc/fdd491sYQQQgghzhktLc00NTXQ1tZKR0cHLpcTnU5HSEgoYWHhhIdFEBYejslkHtFydHZ2\nUFxcRFtbq7dcVdX+g4BGRkaRkJBEaGg4QUFBI1OQrhZC/7oS04F3ATUysPXCG3HkfEMlreGJI15T\nGRMTx4kTNTQ01PWbyNrtdtrbW6mpqaK5uQm9Xk9iYjJVVRVUVVUQHR1LaGjYwDvT63HkXU5b3uXo\nqw9g3rUR077XMTQdx7LlcYI/fhL7lMV0ff0unCnnDfORDmys6oTfAH4D3AY8C/yzx+f3o5LWR93T\n7wMPAjt8F5Ia2cFbuXIl777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eprNTjc6bmppGRMTw9UEdDbrOZvR1RRhOFKnfdUfR1x3F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\nknpfetRvMTuFqJbVG1A3GC5Bt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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Relative Strength Index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The relative strength index (RSI) is a technical indicator used in the analysis of financial markets. It is intended to chart the current and historical strength or weakness of a stock or market based on the closing prices of a recent trading period. The indicator should not be confused with relative strength. - [Wikipedia](http://en.wikipedia.org/wiki/Relative_strength_index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Source: http://stackoverflow.com/a/20527056\n", "\n", "Commonly, the RSI is not calcualted with the `rolling_mean` but with the exponentially weighted moving average `ewma`!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Get daily up or down\n", "delta = stoxx['Close'].diff()\n", "\n", "dUp, dDown = delta.copy( ), delta.copy( )\n", "dUp[ dUp < 0 ] = 0\n", "dDown[ dDown > 0 ] = 0\n", "\n", "n=14\n", "RolUp = pd.rolling_mean( dUp, n)\n", "RolDown = pd.rolling_mean( dDown, n).abs()\n", "\n", "RS = RolUp / RolDown\n", "RSI = 100. - 100./(1.+RS)\n", "\n", "plt.figure(figsize=(9,3))\n", "RSI.plot();\n", "plt.axhline(20, color='k', alpha=0.2)\n", "plt.annotate('oversold',xy=(0.5, 0.28), xycoords='figure fraction', fontsize=20, alpha=0.4, ha='center')\n", "plt.axhline(80, color='k', alpha=0.2)\n", "plt.annotate('overbought',xy=(0.5, 0.82), xycoords='figure fraction', fontsize=20, alpha=0.4,ha='center')\n", "plt.title('RSI %s (%i days)' % (sc, n));\n", "plt.ylim([0,100]);\n", "plt.ylabel('%');\n", "plt.savefig('RSI-TSLA.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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W1tLQ0EBaWlrIh7kRQdm7dy/V1dWcPHmS/Px87HZ7yPHG8ke4c3cVQ7PSMuPHwNhu2JWZ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\nf0MQy18ZMmHwA15XSA/kfZqOxOB4XSDfRvqUBUj9fRv4Je6SbVsZhEz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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "print('TSLA RSI (%s): %d%%' % (stoxx.index[-1], RSI.values[-1]))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "TSLA RSI (2014-10-02 00:00:00): 31%\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Load other Stock Values" ] }, { "cell_type": "code", "collapsed": false, "input": [ "df = pd.io.data.get_data_yahoo(['AAPL', 'FXXP.EX', 'GOOG', 'FDAX.EX', 'TSLA'], \n", " start=datetime.datetime(2013, 1, 1))['Adj Close']\n", "df.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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AAPLFDAX.EXFXXP.EXGOOGTSLA
Date
2013-01-02 75.63 7778.78 285.33NaN 35.36
2013-01-03 74.68 7756.44 286.83NaN 34.77
2013-01-04 72.60 7776.37 287.83NaN 34.40
2013-01-07 72.17 7732.66 286.63NaN 34.34
2013-01-08 72.37 7695.83 286.25NaN 33.68
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ " AAPL FDAX.EX FXXP.EX GOOG TSLA\n", "Date \n", "2013-01-02 75.63 7778.78 285.33 NaN 35.36\n", "2013-01-03 74.68 7756.44 286.83 NaN 34.77\n", "2013-01-04 72.60 7776.37 287.83 NaN 34.40\n", "2013-01-07 72.17 7732.66 286.63 NaN 34.34\n", "2013-01-08 72.37 7695.83 286.25 NaN 33.68" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Returns" ] }, { "cell_type": "code", "collapsed": false, "input": [ "rets = df.pct_change()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "stoxx['rets'] = close_px.pct_change()\n", "plt.figure(figsize=(16,4))\n", "stoxx.rets.plot();\n", "plt.title('Returns %s' % sc);\n", "plt.ylabel('\\$');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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wtXRDLUvEVxAEQRAEQRCKxi+OrwHcgXJgDwIuBg7M2GYb8HXgdyXs60ucGl+rulGtkBpf\nIQMn1dmqH6GWi4z4yvn2H2ITfyB28CdiF38gdvAfYhN/InbxB5VW43s0sAxYBcSBR4GzM7bZAsy2\nXy92X39iR3zN6iZgcKQ6C8XhRHzN+t3UskR8BUEQBEEQBKFo/OL4jgI+9iyvtdf19b5lRXNSnauH\nqOVBkOostRDF4UR8zcaRakWRjq+cb/8hNvEHYgd/InbxB2IH/yE28SdiF39QqB0CfTyOQrH6Y9/r\nrruOsWPHAtDY2Mj48ePd0LhzwvpzObxwDacBVs0QXl8PcWMdR9pjLcd4+mPZwS/j8fvyaba41evr\nTELrYdLI9qL2d/DL/yPLsuyX5QULFvhqPLIsy35aluvDf8sOfhmPLKvlBQsW+Go8g3F5wYIFLFiw\ngOnTp7NmzRquvPJKcqHlfKV/ORa4CVWnC/B9wAR+nWXbHwNtwC3F7Dt16lRr4sSJvTnmHlP76FWE\n5j1F9MhLCc/+O/G9J9F21XPlHpbgI2r/9kVCC/9N56d+SPVLPyM5bF9abpxV7mEJgiAIgiAIgu+Y\nM2cOU6ZMyerj+iXVeTYwDtgTCAEXArk8wMx/pJh9/YWb6mzX+A6CVGehONxU54bd1XKR4laCIAiC\nIAiCIPjH8U0A1wMvAQuBx4BFwDX2D8BuqFrebwH/B6wB6rrZ1/e4Nb41do3vIFB1zkzZEbrHFbdq\ncMStpI9vpSM28QdiB38idvEHYgf/ITbxJ2IXf1CoHQJ9PI5ieMH+8XKX5++NwJgi9vU/djsj0xa3\nQiK+QgZuxNdWdSbWDpYFml+qFARBEARBEATB//gl4js4STqpzqqP72CI+DrF6EJhOBFfq2YIVqAK\nzbKK6vcs59t/iE38gdjBn1S6XYwNH4L9vV3JVLodBiJiE38idvEHhdpBHN8yotkRXzfVWSK+Qgaa\nrepsheuxwrVqnfTyFQRB8B2BlW/TcPuJ1Pznx+UeiiAIgpAFcXzLSSICpMStiHeoNNYBzKCshbCs\n0iIAiRhaIoKlByBYjRWqA4pzfAfl+fY5YhN/IHbwJ5Vsl8CSVwAwNiwo80h6TiXbYaAiNvEnYhd/\nUKgdxPEtI27EN1iDZYTQLNNVehYGDlWv/oamn+6NsX5+Ufu5ac7hetC0VMRXlJ0FQRB8R2D1OwDo\nLRvLPBJBEAQhG+L4lhPHyQ2EsYLVwMCv8x2MtRDG+nloZrJ4x9cWtrKq6tWKkHJ8KcLxHYzn2++I\nTfyB2MGfVKxdEjECa+cCoLVuAtMs84B6RsXaYQAjNvEnYhd/IDW+FYCWtCO+gRCEatTKuNT5DjSc\n2m2tc2dx+zkR36oG9TskNb6CIAh+xFg/D80uX9LMBFrH9jKPSBAEQchEHN9y4kR8jTBWUDm+A13g\najDWQjiOqtbZXNx+HmEr9VtqfAcCYhN/IHbwJ5VqFyfN2UFvrex050q1w0BGbOJPxC7+QGp8KwDN\ndnytYBjLjvgO9FTnwUgq4lus4+ukOjsRX9vxjUrEVxAEwU8EVs9KW9akzlcQBMF3iONbTjwRX0Kq\nxpcBHvEdlLUQPU11diO+xYtbDcrz7XPEJv5A7OBPKtIuluVGfBNjjgQqP+JbkXYY4IhN/InYxR9I\nja/fSSbQLBNL08EIpMStBrjjOxjR7LptvVjH1474kiluJTW+giAIvkHfthK9bQtm7TASex2v1knE\nVxAEwXeI41sukilFZ/AIFw3wVOfBWAtRTnGrwXi+/Y7YxB+IHfxJJdrFjfbucTRmw+6ArexcwVSi\nHQY6YhN/InbxB1Lj63O0uF3fazu+SMR3YGJZrlK3Fimuxpcu4lbSx1cYYJhJap6+gdDcx8s9EkEo\nmXTHdzdAIr6CIAh+RBzfctEl4js42hkNulqIRATNsoASIr6OuFUPVJ0H3fmuAMQmKYyPZxN+9yGq\nXv9Dv7+32MGfVKJdUo7vMZj1IwDQWzaUc0g9phLtMNARm/gTsYs/kBpfn6Ml7B6+Rkj9lojvgMRr\nT61zp4oAF7qv9PEVBjjG1uVA6rMuCJWG1rEDY/MSrECY5KgJWHaqs17hqc6CIAgDEXF8y0UiI+Ib\nHBztjAZbLUSa45uMFxXRTzm+jriV086o8FTnwXa+KwGxSQrddnwpQ4susYM/qTS7GGveBSA5agIE\nwm7EV2vdBKZZzqH1iEqzw2BAbOJPxC7+QGp8fY7bwzegIr44qc4S8R1YZERni+nl26WPb1hUnYWB\nhbF1GWBnMRSRDSEIfsGb5gxAsAqzugnNTKB1bCvjyARBEIRMxPEtF27EtwrwpDpLje+AIjN1vZg6\nXy1T3MpJdS4iOjbYzncl4Ngk8NF/qb/9JPQty8o8ovLhRHw1MwHJWL++t1wb/qTS7NLF8QUsR+Cq\ngtOdK80OgwGxiT8Ru/gDqfH1OZr9kOdEfAdLO6PBRuZEhl5KxDfT8ZWI74CgatrtBDZ8QHDRC+Ue\nSnkwTYytK9xFUSsXKo5EjMDHc9SfexztrjbrleOrVbjAlSAIwkBDHN9y4UR8jfR2RgM91XnQ1ULE\n0icyior4ZopblaDqPOjOdwUwffp0iLUTWDUTKC79fSChtaxHS0RSy/08oSPXhj+pJLsY6+ejJSIk\nh4/Dqh3qrncc30puaVRJdhgsiE38idjFH0iNr8/R3FRnJ+I7OMStBhtaPLPGt0DH17K6iFu5jq8o\n4FY8gRUz3KwPvXNHmUdTHpz6XheJ+AoVhrd/rxdzAKQ6C4IgDET85PieDiwGlgLfy7HN7fbr84DD\nPetXAfOBucCsvhtiL+KKWzmqzk47o4GdxtrftRD69tWE37gNffvqfn1fh5JrfBMRtGRctbsKOFkB\njgBa4UJAUnviPyZNmkRw6X/d5WL7Ow8UjC3L05b7O9VZrg1/Ukl2yVbfC6kaX62CI76VZIfBgtjE\nnzh2MdbMRmvdXObRDF4KvT4CfTyOQjGAO4ApwDrgXeA5YJFnm08D+wLjgGOAO4Fj7dcsYDKwvX+G\n23OcPr6uU+OoOldIxFdr3YzWuQNz1/3LPZSs6JsWUfX6bYTmP4VmJolu/oiOC/7U7+Mo1fF1ha3s\nNGcAjABWoEqlh8Y7U58ZoeIILn3N/VvrGJwRXz0j4jvQJ/2EAYZlEVit5tkzHV+npZFEfAVhcBCa\n+wS1j19DfP9Tabv8sXIPR+gGv0R8jwaWoSK3ceBR4OyMbc4CHrT/fgdoAkZ4Xtf6doi9TDK9nZGb\n6hyrDMe37sGLaPjj5KKjVX1dC2GsmU3t3y6l8dYTCL//OJqZBEDfsaZP3zcntuNrGUGg8HrOTGEr\nB6elUaFOgtSe+I8ZLzyNsWWpuzxYa3wNW9HZvTakxlegcuyib1+F3rYZs3Yo5rB9015zU50rWNyq\nUuwwmBCb+JMZ/3mCmmduBED33NuF/qXSanxHAR97ltfa6wrdxgKmArOBq/pojL2LE/E1MlKdK6Sd\nkbF1GVoiWj6H0otlEVj2BnX3nkPDnacRWvgfrECYyLFX0GrPvJXrAcR5mDcbdlfLkQId32iWiC9g\nhYoXuBL8hbHWVoHd7SAAtEFa4+u0MkqOsM9DEW26BKHcuGnOY48GLX3e3bK/7/XWyk11FgShABIx\nqv/7O7SYKtXR27aWeUBCPvyS6lxYwWLuqO4kYD0wHHgFVSv8ZuZG1113HWPHjgWgsbGR8ePHuznh\nzkxBfy2/OXchVevhWDvV+c05C6lbDyc1dpRlPEUtJ+O8sVJd5EfYF3lZxmOanDK0larX/8D0WcqZ\nOHmvOqLHXsFUfSJWzRAm7XkYANMWrqXtzTeZdOKJ/TreU+2JjNe31mJsguMP2FnY/m+9Rc16OGHv\n+rTXz7AjvtPffBNz6Fp/fB5kuajlT1av4fX1EB05kU+xEK1zp6/G1y/Lb7xG3QermDxKI7n7wUyf\nPY/Iu/M4ZuKF/Toeh7KfD1l2lydNmuSr8eRaDr/5LKeh0pwzX582bxn16+FkfTOYJtPfeqvs4y1l\n2cEv45FlWfbbcvXUX2JsWcqrdcP4xJAWtFgb01+bCsEqX4xvsCwvWLCA5uZmpr85jXVzXuPL3/81\nufBLevCxwE0ogSuA7wMm4B35X4DXUWnQoJzbk4HMIpofA23ALd6VU6dOtSZOnNibY+4R4ddvpeal\nnxI56Rt0nnETWvs2mn4+DrN6CM0/Wp7/AGVEa9tC082qtrf983cRO/yC/h9EvJP6e88hsOZdAMza\noURPuJbosVdiVTembdp001i0aBs7f7gcq2ZIvw6z5pkbCb9zP7Hx5xBa8AyJPY6h9dr8fVuDHz5P\n3d8vI3bgGbRf9rC7vv7OTxFY8y4t1/yH5J7HdnMEwZckEzT+fF/0SAvN33mPxt8dgaVp7Pz5ZtCN\nco+u39A3L6HxD8eRHLIH8UM+S9Wbd9Bx+k1ET/5GuYcmCAXRcOvxGJsW03LtCyQzanwBGn+6D3rn\nDnb+YAlW3fAyjFAYSGgdO9AiLZi77FG2MQTnPYU5bF+Sow4r2xj8RGDZ69T99TxAo/Xq56l79Cr0\n5nU0/8/cstppMKO1bKDplwfz6gVTmTJlSlYf1y+pzrNRolV7AiHgQpS4lZfngMvsv48FdqKc3hrA\nKYSsBU4DFvTtcHuOlsio8XVTnf1f4+sV49HaM9I64hGqXvs9+uaPsu6bOZNcKsGlrxNY8y5m7TA6\nPvNLmr87j8gpN3ZxesGTZlyOdGe7ZttsHKnG0BNxK8AKSY1vJWOsfY9pK1pIDtsXc+hemFUNaJbl\n1nQPFpz6XnPYPp7+1P2r6izXhj+pBLtonTsxNi3GCoRJjpqQdRurobJ7+VaCHQYTdQ9dzJxvH0Fg\n5Vsl7a9vWUbtw5eXXJ5mrJ1L3aNXUfPk10raf6ChtW2l9vGvolkWL+92Ick9j8Ws29V+TZSdy8H0\n6dML+r71i+ObAK4HXgIWAo+hFJ2vsX8A/gOsQIlg3QVcZ6/fDZXW/D5K9Op54OX+GnjJJDNUnR3H\nNxEB01Sr3n8SY9XMcoyuW7w1iVr7trTXgotfpPrln1P9au40g94gsHIGANGjv0T0hGu6VTg2G5TT\nqTev79MxZcPp45tyfHsqbiU1vpVM8CPVxig+7hQArGqVgTDYWho5is7J4fumJnN6uZ2R1rKRht8d\nSXj6nb16XEEwVqtMo+SoCal7eAaOsrMmdb5CL2BsXIRmmdQ+cgVaCWrh4Zn3EfrgOcIz7irp/YNL\nXlHj2LIMbNHQQYtlUfPk9eitm4jveRyxCapEx7QzO/S2LeUc3aCmkhxfgBeA/VEti35pr7vL/nG4\n3n79MGCOvW4FMMH+OcSzr6/R4hEA1acVQNOwnD6t8Q70TYupe+xqap+4LscRCiCZgD6IJOkdqYd0\nPSPiq+9cp37nmFV0cvJ7SmCFcnwTe5+Qd1sn4lsOgSunnVHREV9X3CrD8XXErQoUAuqt8y30DsFl\nrzN5JCTGfQIAq7oJGHwtjVIR332LViovlMDKGRjbVhCa+3jW1+Xa8CeVYJdc/Xu9pO47len4VoId\nSMbR2iumi2XpJKJo0VYmj1QtsmofuVI93xWBvmM1AMbGD0sagtOCT0vGypM95yPCb91NaMnLmNVN\ntF94F5NOOgkAq145vpo4vmVh0qRJBU00+snxHVy4Ed8qd5Xb0ije6aaz6DtWQzJe0lvUPnoFTb84\nEH3Hx/k3LoLuIr66neLRp9HVSAvGhgVYeoDE2KPybu44nWVRdnbaGdUOwzKCdg/eSN7dcqo695GT\nIPQP+raVACTsGimrxnZ8eyHiG1zwLKH3/tHj4/QHrqLzsH2Knswp+D3sSThj63KwCtVPFIT8FOb4\nVnaqcyVQ8/QNNP7iAPd7daDiPGeZVQ2Y9SMIrpxB9Ss3F3UMY/sq9Xv9guK/DyMtGB/P9hxrdXH7\nDyCMDR9Q/cKPAeg49zasptHua2atRHzLTaVFfAcVmTW+4KnzjXUQXPW2+tuySnIijVUzCX3wL+VE\nL5/WCyNO4Y1OZUZ8tdbN9u+NWR323qgbCqyaiWaZJMdMBDtNsjssH0R8rWBNKrpXgJNjfKwSGqz6\nEekvOP9vgWmhUqflI5Jx9PatvLZec8VuUqnOPYz4Wha1T15PzVNf7zIZ5Ue8EV/s9H16eTJHb1aO\nrxZryzo2w8XMAAAgAElEQVQLLNeGP/G9XZJxAk5Lsj2OzrmZ5aY6F5+W6gf8bgetdTOh9x9HMxMY\nG3wv69IjdPs7/bWdQ2i/+D4s3aDqjdsILswvlAmAZaFvV1l4eucONPu7sVCCy6ehedKbdduJHnTE\n2lWqeTJG9OjLiR/yWSB1rTj3dYn4lofp06cX1EJOHN9ykcio8QUIKceXeAcBT22vvrP4iG311F+5\nfxvr5pU0xFxoHduz/g0qDQeUw95XN/ygXd8b3yt/mjOA2Wg7vmWp8bUd35DH8c3Ty9fY8CHBlTOw\nQnXEDvp02mvFilsJ/sG5GVrVTa6Cs/OZ8JYPlHTsSDNarB3NskpOZes3Ii3orZuwAmHMxlF9VuOr\n71zr/u042oLQU4z189HinSSHj8OqHZpzOzfiKzW+fUJo3pOuMzbQ050dEVGrqpHEXsfT+akfAlDz\nxFcLinZr7VvdZxGAwIbi7hFOmrOjMTJYHd+a53+AsWUpyV33p+PMn3d53RG30kXcqmxIxNfHaAm7\nxjct4qseAI3NH7nRCqDoVOXAihkEPVHewPpednw9EUsto1m3V81OzzKr2Bt1Q259717HF7R9OVWd\nXQc1VItVpRSn80V8wzPvBSA68SLIlepcoJNQEXVagwRnUuikgzypUXZ7LS3SQ8fXM8lkFPlQ098Y\n21YAYA7dG3S9zyZz0r5Dtyzr8rpcG/7E73ZJpTnnjvYCmPW9m+qsNa+j5ukb0Dcu7JXj5cPXdrCs\ntLKOzMyzgYaTxXPSofsAED3x68QOOhM90kLtw5dDnm4gekZqcrER8oDt+EYPvzDr8QYDwQXPEn73\nIaxAmPaL7k0TVHWuFanxLS+qxjd/wE0c33KRtcZXRXyDH72atqk3cpEXy6JqqtL3ihyvBLGNDR8U\nLYTQHbo31blzR9qxvbUNfRJhjbZirJ+HpRt5Hzwcyilu5bQzsoLVbqul7pSdtc6dhOY+AUD0uCu7\nvC6qzpWLbpcBeNPX3c9ED8WtnGND6eIl/YXjhCaHqYe4vvpMp0d8uzq+glAKhdT3gqedUW9EfE2T\n2seuIfzuQ1TN+EvPj1fhGOvnE/BMAFRCeUdPcBx7s3aYWqFpdJx/B8ld9iKwYQE1z32v+/1tYStL\nDwDFOb761hUY21dhVg8hPv5stf8gi/jqOz6m5ukbAOj89M9I7n5w1u1E1bn8SMTXx7g1vkYq4out\n6hxcqlqeJIeoBtjFpDoHVrxJcOVbmNVNdJ76fZJDxqLFO9G3ZO+rWwqZ9YhuunMykdbXN1vEt6d1\nQ4FV76CZSdVGIqPVTy6suuFYuqHqZOzz3l9kS3XWu4n4hmY/jBbvIL7vyZi77tfl9Urt46u1baXh\n98cQnvbHcg+lbDh1pq+tTwmL9FY7Iy3N8e2fiFBJmEmq3lJC/UlH4KvILIaCiHWge8owskV8/XJt\nZKI1r6PmmRuLrsMbKPjVLgBYFoHVs4D8jq/prfHtYfuX8Nt3E3QEL/vpc+FnO4TeewRIpZYOdMfX\n+f/eWJX6jrSqG2m/9EGsQBXh2X8nNPvhnPsbdpeNxD4nquX1HxT83k6ac2Lfk0kO3RtIOdKDgmSC\n2seuRo80EzvwDKLHXtFlE7fGt1YivuVk+rQ30Nq3YGlat9uJ41sustT4OhFfJ1Iam3C+Wi7U8bUs\nquza3uiJ10NVg/twGejFOl8tox7RcXa19q1oHrXAvoj4OmrXiQLre9VADKxeTjvrgmURXPQi+tYV\nqXVmEi0RVRdhsBozn7iVmSQ88z4AosddnX0bVwG3d+sh+5rAqrcxtiwlNO+pcg+lbLgR35pd3HXF\nCJ51e+w2T6rzpkW9muHRm4RmPUjg4/cwG3YnctxV9sre/0w7zoEb4eiNiK9lga223pdUv/ILwu/c\nT9W0O/r8vbxoLRsGfK1kT9F3rEZv3YRZO1QJs3VHIIxZNxzNTKaVABX9nluWUf3Sz1LLg7yVDIko\nofftrKjj1X1yoKc6uxFfu1zKIbn7IXSc/VsAap79H6XYnG1/OzU5vt8ULCOEsX1lwa0uA3YgJr7f\nJ7Dqd8MKhFVEs8KeQUql6r+/JbD6HcyG3ek473boxqmyanZRQZbOnaln/ApAa9syIDofaJ070CzL\nnYDIhTi+ZSK7qnOqZsAKVLmKcfqOwlKdA8teJ7hqJmbNLkSOVw+VyZHK8e1NgSsn4uvWMNmzkZkF\n/dkc357WDRUrbOXgpjv3kcBVaM4j1D30BWr+eUNqpROVDdaoPs15nJzAR69ibF9FcshY4geclnUb\nJzpWqAKuX+q0nLTTXP2di0Vr26pqvHoYSelPnNqTE485wl1n1fROxNeb6qwloujb+k7Mqerlm2m4\n9YRuU/azobVuovqlnwLQ8ZlfuPXrThYDsfZeu/k6n7fk6MOxNE1FKDIeRIq5NvRtK6m7+0yafroP\nxrr3e2WMWUlECX3wPICrHNwfBFbMoPF3R1L/51PLfk355TsrG4FVdprz2KO7fQB2MBvsVnql3nfM\nJLVPXY8W7yS+/6kAaM394/j61Q7BxS+jd+4gsdvBxPedDHQV2RxoOBHfE4/rmmUQO/ISokdeipaI\nUPvw5Vm/l50IbXLYPiRHHAgUmBmUjBNc/iaAOte6jjlkrH3M3rmX+5nAyreoeu0WLE2j/fN/ySlm\n514ruo5lp6Nr7ZUR9Q0ueommm/cnPABKKE46SH02HWHBXORzfGuBGs9yAPga8BfgeiBY8ggHO07K\nrafG11ssnxhzRCqtpHlt/gdCy3KVnCMnfd1NA3b6hQbW997DmlOPmByuZrzdiK/9YO/05ez1lKxY\nO8bauViaTmLP7tPMMnGUnbWW3nd8tZYNVD//AyBdiMxtZWTbNVXjm93JqXrrbgCix37FVf3NJKWA\n28N6yH6ejXQ+C3rnzoJnmruj9vFrqX3yeoIf/qvHxyqVwJKpbj12ITgTQ2Zaja9yfPUe1vi61579\nMN6Xdb6h95/E2LSIgD0JVSg1z/8APdJCfP9TiR9yVuoFI4AVqEKzTEjk73FdCK7jO3QfzKYxaGay\nNCVSyyI06wEabj+J4KqZqnVKHzq+wY9edXt4G+sXlNzDPY1YR7eRauPj96h78GK0eCfG9pUElr3e\n8/ccoBRa3+tgNo0CSr8XhmfcSWD1LMz63dSDdyCMHmnu9dZflURojkpzjh1xMVadcjIGesTXVXV2\nanwz6Djr1yR2H4+xfSU1T17f5XnRaWVk7rIHyZGHABDIER32ElgzGy3WRnLX/dx+teYuewIDv85X\n69hB7WNXo1kmkZO/5aaJ5yNV51sZn0ljk5oACS4qsDWWj3H0FJygXM7t8hznRcAbevod8H2gGfgC\ncHfJIxzkaMncfXwBEnseC+E6zOohaIlo3pqBwEevEljzLmbt0LQahOSoCYBd09EbM/lmEj3SjKVp\nSpUVb8RXjTEx6lC1nGWWuyd1Q4HVs9DMBMmRh3ZRO8477HwCV2YSfdPi4iNOlkXNM99RDyOQVlfo\n7eEL3rTWLDOyW5YSXPpfrEAVsSO/mPvteqHGt+qln9H0070ILnqxoGP0BmlCQ0WqlHc51qZFbh28\nsWlxj45VMpZF7WNXU/v4NUo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g4OP8mibBJa+ofcadUlCEPRP38+iIW1mWmy1ibPmosIPE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\n8a9Y/ARlqzYwY2gJRv/xLPEdSFH1SmaiokDPx/cj1sHnrVk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9RQ8RnnUdseFHYPmL8G3/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\nOixAqdkKn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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Monte Carlo Simulation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Monte Carlo methods are used in finance and mathematical finance to value and analyze (complex) instruments, portfolios and investments by simulating the various sources of uncertainty affecting their value, and then determining their average value over the range of resultant outcomes. - [Wikipedia](http://en.wikipedia.org/wiki/Monte_Carlo_methods_in_finance)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "SO=stoxx['Close'][-1] # letzter Preis\n", "vol=np.std(stoxx['rets'])*np.sqrt(252) # Historical Volatility\n", "r=0.025 # Constant Short Rate\n", "\n", "K = SO*1.1 # 10% OTM Call Option\n", "T = 1.0 # Maturity 1 Year\n", "\n", "M=364\n", "dt=T/M # Time Steps\n", "I = 100 # Simulation Paths" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "S=np.zeros((M+1,I))\n", "S[0,:]=SO\n", "for t in range(1, M+1):\n", " ran = np.random.standard_normal(I)\n", " S[t,:]=S[t-1,:] * np.exp((r-vol**2/2)*dt + vol*np.sqrt(dt)*ran)\n", "\n", "\n", "MC=pd.DataFrame(data=S, index=pd.date_range(start=stoxx.index[-1], periods=M+1))\n", "MCmean = pd.DataFrame(data=S, index=pd.date_range(start=stoxx.index[-1], periods=M+1)).mean()\n", "\n", "ax=MC.plot(alpha=0.2, color='k');\n", "\n", "stoxx['Close'].plot(ax=ax);\n", "plt.legend(['Monte Carlo Simulation'], loc='upper left');\n", "plt.ylabel('Closing Price \\$');\n", "plt.title('Possible Future of TSLA (Tesla Motors Stock)')\n", "plt.savefig('Monte-Carlo-Simulation-TSLA.png',bbox_inches='tight', dpi=150)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SdHV10dHRAQhrI5FIkJ+fT3NzMwBlZWVKjqUojXdkGREDBgwYWAiOHTumiOP8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s/cC1qvcwTF526320IznZ+fF3txi8WCTCaDZDIpcbh0+KVBX7lcRj6fx8HBAXZ3d2EwGHDp0iXZ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\npcLMzAxPPvmkMsJFGXh6elqtbWWGsbW1hcViYW1tT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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Option Valuation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "VO=np.exp(-r*T)*np.sum(np.max(S[-1]-K,0))/I\n", "print('Call Value %8.3f' % VO)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Call Value 4.475\n" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Vergleich" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig=plt.figure(figsize=(12,12));\n", "pd.scatter_matrix(rets, diagonal='kde', figsize=(10, 10));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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JJ+Jt27YtgZlLS+4/r0OsTVP6/b3Eufc9Rccxuf9nELFepPT7e4hzS/NlOxd2797NSj1/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RosgSDtWiYkwPWLmO4IY/JuREEiofQiIJPTtlJxBuhJfYyh6nOIQmSpc7r6DLKg4QRFVCmHJqXI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DmXsL4BXYnQF99GT+Lxsnnn7Pqgld0251tMmtxnxyobU8yizVRXceNBcWauWhZzTFrtgodG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\n8kUJBA2JaaDteQyA3Pra7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AAPLFDAX.EXFXXP.EXGOOGTSLA
AAPL 1.000000 0.145819 0.143540 0.257940 0.066756
FDAX.EX 0.145819 1.000000 0.917556 0.308664 0.127384
FXXP.EX 0.143540 0.917556 1.000000 0.338610 0.151210
GOOG 0.257940 0.308664 0.338610 1.000000 0.402618
TSLA 0.066756 0.127384 0.151210 0.402618 1.000000
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ " AAPL FDAX.EX FXXP.EX GOOG TSLA\n", "AAPL 1.000000 0.145819 0.143540 0.257940 0.066756\n", "FDAX.EX 0.145819 1.000000 0.917556 0.308664 0.127384\n", "FXXP.EX 0.143540 0.917556 1.000000 0.338610 0.151210\n", "GOOG 0.257940 0.308664 0.338610 1.000000 0.402618\n", "TSLA 0.066756 0.127384 0.151210 0.402618 1.000000" ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(corr, cmap='YlGn', interpolation='none')\n", "plt.colorbar()\n", "plt.xticks(range(len(corr)), corr.columns)\n", "plt.yticks(range(len(corr)), corr.columns);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "fig=plt.figure(figsize=(12,12))\n", "plt.scatter(rets.mean(), rets.std(), s=50)\n", "plt.xlabel('Expected returns')\n", "plt.ylabel('Risk')\n", "for label, x, y in zip(rets.columns, rets.mean(), rets.std()):\n", " plt.annotate(\n", " label, \n", " xy = (x, y), xytext = (20, -20),\n", " textcoords = 'offset points', ha = 'right', va = 'bottom',\n", " bbox = dict(boxstyle = 'round,pad=0.5', fc = 'w', alpha = 0.5),\n", " arrowprops = dict(arrowstyle = '->', connectionstyle = 'arc3,rad=0'))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fTfJfk/yi6kAAAIAnbeo+6ocmeU2S/zftWycemeR1aZ9lN6T3IF22WvKsJc86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\nYv1LFg0vUlnE80eEdMRtwI+BD2fR8CKURSzTfkv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