diff options
Diffstat (limited to 'python/notebooks')
| -rw-r--r-- | python/notebooks/Beta & Compression.ipynb | 378 |
1 files changed, 362 insertions, 16 deletions
diff --git a/python/notebooks/Beta & Compression.ipynb b/python/notebooks/Beta & Compression.ipynb index defdbe7d..cfeadfa7 100644 --- a/python/notebooks/Beta & Compression.ipynb +++ b/python/notebooks/Beta & Compression.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": null, + "execution_count": 61, "metadata": {}, "outputs": [], "source": [ @@ -19,45 +19,368 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 62, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ - "betas = beta_trade.calc_betas()" + "betas = beta_trade.calc_betas(spans=[20,45,90,180], index_pair = ['HY','IG'])" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "3.3451255847204062" + ] + }, + "execution_count": 63, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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eaIiKTlm48Cdu1+4I/pry2g9iwkGvrpXM8Ll9Sny3An8YY+xKxtgc7W8GgEOD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\nUuBLJBJJiSAFvkQikZQI/x+MI8q+sGrjkwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefa205e10>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "plt.plot(betas[0], label = 'EWMA20')\n", + "df = betas[0]\n", + "plt.plot(df, label = 'EWMA20')\n", "plt.xlabel('date')\n", "plt.ylabel('beta')\n", "plt.legend()\n", - "betas[0][-1]" + "df[-1]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "3.5605098633841372" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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UpSMI59Ixqqvzv3M2awqkCV5dtg8AUNvoV5aRgW8/dI6JcGS21oqCz8/hkjWY2T7dwsJ3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\nRK5CYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdef9849630>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "plt.plot(betas[1], label = 'EWMA5')\n", + "df = betas[1]\n", + "plt.plot(df, label = 'EWMA45')\n", "plt.xlabel('date')\n", "plt.ylabel('beta')\n", "plt.legend()\n", - "betas[1][-1]" + "df[-1]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.7082947904296049" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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xyFYKd5w7llF2GunjH32V8mu62V1dT7dO+QkFcJ30WidDZ/u+g9z4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\nYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefd456f28>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = betas[2]\n", + "plt.plot(df, label = 'EWMA90')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3.7755426921114017" + ] + }, + "execution_count": 66, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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b2RmJncAA5l4/mQ/WlHHsgIOnPulVkMMd04fRv7AdE/s37e+Qk8m+6vBrboQS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\n3JZ9fC4AAAAASUVORK5CYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefc2a6048>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = betas[3]\n", + "plt.plot(df, label = 'EWMA180')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 67, "metadata": {}, "outputs": [], "source": [ + "betas_EU = beta_trade.calc_betas(spans=[20,45,90,180], index_pair = ['HY','EU'])" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.934075065986995" + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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p8+1HmjB43mKs3Xs87RXbsskwlcVLiUxov1u2HUPvehU1TUpob/diffoEO1rH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\nRU5ErkJggg==\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefa4bedd8>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = betas_EU[0]\n", + "plt.plot(df, label = 'EWMA20')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.1582765145150855" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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NzSHkZnkxqk+BIds8VaTJfZlWkK7vdYXa6yDdNQn9BCuFRLKO4M+3KJWn//t1tJPZSY4a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\nTkSuQmCC\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefa4d0fd0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = betas_EU[1]\n", + "plt.plot(df, label = 'EWMA45')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.2841317405475943" + ] + }, + "execution_count": 70, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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iav/JRjz8yR6cbGjDl/tO6TE8AECmVBJ8QEmHEHuKWrVZIbBGFvgjokDg3Ks1ZE6GFS3t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\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefa205ba8>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = betas_EU[2]\n", + "plt.plot(df, label = 'EWMA90')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "2.1738139367052991" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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FX3PzS1/xjnl/x0KgP9N3AdcR3JaQEE2ic2BJdZXkL6yshxGf/vWeOn69cBUer7YF1/Nf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\nFOteAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefd36f9b0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = betas_EU[3]\n", + "plt.plot(df, label = 'EWMA180')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.72013353581741846" + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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JrlFkZ6Qxd8pY5k0Z6+ufALh5bG/+dulg3/2B3QuZvqIcgKnnH8PzV4+gX7cC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\npcLSIKGUUiosDRJKKaXC+n9L4qRW+7vyXAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdf523281d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "betas_EU_IG = beta_trade.calc_betas(spans=[20,45,90,180], index_pair = ['EU','IG'])\n", + "df = betas_EU_IG[3]\n", + "plt.plot(df, label = 'EWMA180')\n", + "plt.xlabel('date')\n", + "plt.ylabel('beta')\n", + "plt.legend()\n", + "df[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "5.6221149210418888" + ] + }, + "execution_count": 72, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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SFaDTH7KPddUp07lkwQS7lzfUaTbnVYyq6H9i1o2Xz+fC+eMHQ6RBRSv+PNDe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\nOhGpM7d9fCACJ0oIZV3spi7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zc2/sUUpdBhwD3CYiEYyXzM1KqZSKf+3atUdE\nZHe2smXJGODIIB8zFVqm9ClGubRM6VOMcg01maYlWd4HUXqqNAAiskYptaTQcjjRMqVPMcqlZUqf\nYpRrOMukUzZoNBrNCEMrfo1GoxlhaMUf5fZCC5AALVP6FKNcWqb0KUa5hq1M2sev0Wg0Iwxt8Ws0\nGs0IY0QpfrHqvGn6pVjPU7HKVWwU63kqVrmKjcE4TyNK8QNFd+OJyDkiMr7QcsRhV8Uosoe1mGQB\n9PXLkGKSpVivHQzC9RsRil9ElovIv4CfpMo3NFiIyKkishG4BmPyW8ERkQtE5GXg1yLyAQBVBINA\n+vqlh75+actTdNcOBvf6DdvBXfNN6QVuAs4AvgOcCEwC/qiUeqWAsrkxUlw/qZT6S6HkcCIi9cC/\ngZuBDoz6CyuUUjeJiEsplU5m1lzKo69fBujrl7ZcRXftYPCv37AtvWi+KQMishX4nVJqm4isB34O\nhAsrHdUY3d5HRaQEo2jNCoxUFwERkcG01MyHdBywXin1T3PZAeAFEfm9UurIYMukr1/66OuXEUV1\n7aAw12/YuXpE5LMi8nsR+Zi56PfADhEpMTOFVgGjCyTTR8xFLmAmsAD4P+BS4IcYie5gEHyhInK1\niJwP9kPaCZwqIqPMZZtM2X6Vb1ni5NLXLz2Z9PXLTJ6iuXamXIW9fkqpYfOH4bNbCVwIPAd8AzjK\nsb4O+C8wvoAy/Q9QhtGl2w6812xXCRzGKGGZT3nqgAeAA8DrgNux7h7gT3FtXwFm6Ounr99Qu37F\ndu2K6foNN4v/XOBHSqnHgC9hjI6/37F+OtCmlDooIpNF5JwCyfRJ4NtAhfmHUqoTo95BXT6FUUq1\nAE9gZE5da8ph8WngQhE50fzeBawHAvmUyYG+finQ12/A8hTs2pnHKorrNywUv4hYv2MdcAmAUmoN\nhu9uooicYa6fBLhF5DPAI0DeQrn6kelFYB4wAaOc5YUicqmI/A9GvYLNeZTJ6sbeo5RqBX4LXCEi\n00z52oHvAd8SkasxLKT5GN3QvKGvX9oy6es3MHkKdu1MuYrm+g1JxS9m7K11gVV0xPslwCUiy8zv\nb2B0qawb7HwMn95RwHKVw1H9DGXaB5yglLoHuBU4HZgKXKKU2pdHmZT5v9f8vxqjPvL/WtsopX6N\nUWP5BIz83u9SSrXlSiZTnmNFxI5VLpLrl4lMg3X94mUqlut3mojMchyzoNcvQ3kG5dolkasorp91\noCHzh1G28b/A7+OWu8z/o4AvA7/B9J0BvwO+bn5eBpxbJDJ9Lb7tIMgk8cfCuOlXAsdiRBYcZS53\n51Imc58LMKyuB4FJRXL9spUpn9cvmUyFvn6LMdwUfmBxoa/fAOTJ27VLIVdBr5/zb0hY/GLwc4zB\nj7uVUh9zrHPGuHYALwAlwE9FxIvht2sEUEo9r5T6b5HIdNhqr3IUo5uGTEopFRGRMhGpNI+9B0PB\nbMAYAKs2l+cj5O5/gAeUUu9QSu035XIX4vrlQKacX780ZCrI9RMRr4jchpEZ8hbgceAsh1yDev1y\nIE9erl0achX6+bMZEopfGa/AKmCdMrpoiMgsp4IVkRuBvwBtGAMmdRgXvQ24W8tky/Q94F6MkDZE\n5EqMAa+fAscppV7NtVwi4jK7vJ1KqV+Yy84XkVrM8DkR+QGDeK6GsEw3MsjXD/ABzwNnKKUeBv4B\nHCMiHktBmffVYJ2rYpMnE7m+w+Bfv77kszsxkD/gZGCO43s18CbGRXzJPKn3YHSr5mBcZGfomAuo\n0jKllOlk8hAulkCuKuAtjMG2f2JYQ/dghPxNL9C5Gg4y5f36Yc7wd6z7CHCrtQ7DNfUXYFa+zlWx\nyZNDufJy/VLKPdgHTONE1mKM+HdgdHkrHOs+C7yG4Sv0AT/CmBJe77zAWqa0ZMqLDzGFXDcArwKX\nmd+XAf8CTinguRqqMg3q9cPhn8YYnD0E1Fnr8nWuik2eHMqVVx9+qr9idPVUYFg5nzE/WyPyKKVu\nAc5Whq/Qj2ERLQG6oY9vXcvUv0z58iEmlQt4GMNqHWV+XwMcBHodcg3quRrCMg3q9VMGETNCbJfZ\n5kxrnUOuXJ+rYpMnV3IVNO1IUSh+EfmQiJwpItXKGMy6Hfgbxo1+kohMtNoqYwKExQnAXszcH7m8\nyFqmnMo1yTzu68BXgE+JyBjgg8BxQFOu5dIy5VSuiWY7MY9thZhaLyLJpVzFJk+xy5UNBVP8ZgTK\nBBF5Brga+ADwOxEZo5TqVUp1A09hDMqc49jOJyJnicga4G3AzcqMi9UyDY5MA5FLKfUH4D7gu8A7\ngY8qI7JByzRIMmUrl1JKiRGd0onh0jjZWj7c5Cl2uQZMrn1H6fwRjamdA/zZ/OzBSEj0j7i2XwB+\nANQAZeayU4HLtUyDL9MA5apyLPdqmQZfpgHKVZ4PuYpNnmKXKye/bVAPZpy0H2IMNp6JMYvvbsd6\nwZjpd6ZjWSXGTLbVGAMlE7VMgy9TDuRaVYTnasTIVIxyFZs8xS5XLv8GzdUjImdiJCWqA7YBNwJB\n4GwRWQp2V+j7GN1bi4sx4lxfw4hzbdAyDa5MOZJrfa7l0jINXbmKTZ5ilyvnDNYbBqMKz1WO778F\nPoGROnWtucyFkdfjb8B0c9nbgWVapsLJVKxyaZmGrlzFJk+xy5Xz3zloB4JyjJhyy2/2AeAm8/Nr\nwGfMz0uA+7RMxSNTscqlZRq6chWbPMUu1/9v745ZowijKAy/V4giGLCxEPwFEjRgkUIEEewjaqlE\nRPEHiI0IItY2IgoWphQUBEljYSPWARFEsAiCIKKCMSikybX4JsTEIAlOZr913ge22dlkz6Y4S2Zn\n72371tmpnsz8mZmLuXL96nFWZmaco3y1eYZyJcMsrBpjaqYBZqo1l5mGN1dteWrP1bbOd+5GWXac\nlEl0T5u7FyjfVhwD5rIZTJXNW6uZ6shUay4zDW+u2vLUnqstg7iOfwkYAb4AB5p3z2vAUma+XP5j\nmqnKTLXmMtPw5qotT+252jGI80uULzQsUWaOnx9EBjP9X7nMNLy5astTe642btG8wE5FxD7gDHAr\nyyyZgTPTxtWYy0wbV1uu2vIsqzVXGwZS/JKkwaliSJskqTsWvyT1jMUvST1j8UtSz1j8ktQzFr+0\nRkRcj4jLfzk+GRH7u8wktcnilzZvErD4NbS8jl8CIuIqcJaym/gzZSb7PHAR2E6ZzX4GGKcsQ59v\nbiebX3EH2ENZaH8hM992mV/aDItfvRcRh4BpYIIyuHAWuAc8yMyvzWNuAp8y83ZETAMzmfm4OfYc\nuJSZ7yJigjLG99ifzyTVofPpnFKFjgBPsizOJiKWpzGONYW/m7Ja79naH4yIXZTdxo9+m867Y8sT\nS//A4peK9f71naYsq38VEVPA0XUesw34lpnjWxdNapcf7krwAjgRETsjYpSyXBtgFPgYESOUTUzL\nFppjZOZ3YC4iTkNZyhERB7uLLm2e5/glVn24+x74ALwBfgBXmvteA6OZORURh4H7wCJwijK69y6w\nlzLD/WFm3uj8RUgbZPFLUs94qkeSesbil6SesfglqWcsfknqGYtfknrG4peknrH4JalnLH5J6plf\nghG065+WeKgAAAAASUVORK5CYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdef9912828>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#---------------------------------------------------------------------------------------------------------\n", "#now look at spread rato\n", "spreads = beta_trade.spreads_ratio()\n", "spreads['ratio'].plot()\n", @@ -66,9 +389,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 73, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "1.7181433864830504" + ] + }, + "execution_count": 73, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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XVUBiwIHu2Fx7M3LzY2tw9/9tBeccmw/3Y9a46ozSWMsFQ4SdMXYxY2wHY2w3\nY+wOI96zVBj0BmG3SEl7QouD7poHVpm6zHvYH4LbbkG9WxaHO56T+2G7kvxtjDH84ebT8PWLZuC3\nn1iAq0+ZAMZYVIpd15Av6vupdtoyDhGI7I+pY/I3zMRptYAxxDTWShRiqXPJ3nKvx69Omrp49ti0\nG6VJjEUL+0gA1RURT/xQj5yxtExZr2hwO5TXRWxyWC1oqanA/7y2C+/u7krrc81A33AAezqGML25\ndIbV5IKshZ0xZgHwWwCXAJgF4HrGWPLJBGXEoDeQskhC+B3bjw1i5W7jBisYjRwysca0Qk2VUmaR\nGG4/byqWz2tRvSxth0VfMIw6Tc/2bDx2EVpornYm3Mboc6ckMVTYLGoXRhF2SxQOEmGQHo9freat\nHUXPesYQFYoZ8EbytcVJo7W+AudMbwIQWWRsrnZGtVcQIwO/8/wW3PToavxrS+pGZYVApJACwKbD\n/RjwBtFclfj3JYzx2E8DsJtzvpdz7gfwZwCXG/C+JcGQL5iyrPnuy2bjlx8/GU6bhFe2mvPgAmSP\n3WW3YPGUBqy843zcoAw2GM6gCCisU9fLTx6v3q6psGEgw7CUT1l0jTfnNJe47Fa1J5AQ7oShGOX5\ngz3DatrjaHq2SIxFBZMGRoKqxy6EXTt+UeSs61Mw//vakwEAwVAYb+3sxK1/WmfKK0ZtuOi3ykD4\nMdW0cJoMI/b+8QC003HblccIyKGYVB57Y6UDV8wfj7OmNeGPqw5EDYrQcqhnWB3QXAiGNfnmoqDo\nxsWT1NTA0aDXj8lNkYKi6gobvIFwlKeWLmKiU7w5p7nkbM06ggh9JArFiP4v3/zLJvQoi+u1rvSF\nXeuxr9jVhWMDXjXGLsJk2s+++YzJAGKvIE5qrUVbgwv7NfvbHhN2HhXdUKc3V2L1frmvUFOZTkZK\nFyP2/ngrGDGnfcbYrYyxtYyxtZ2dnQZ8rPl5ZMU+vL69I+0Oc5efPA4A8M7u+N/PeT9/Ex/99QqE\nwxyvbz+udhLMF8P+IFyav6XSYcX3r5iDMUnCHonQe+za70ik5IkKytEgTgbxGpPlkvmTIhXF4gpN\nuyCsZVxtBa47tRXeQBhr9ss9YupGFYphCHM5C+eTj8gtgcV3dta0Jpx/4hjcsGiSur3bYcXDn1qI\n525bEvNe+n7lZpjw1ePx4+vPbMSTqw+Cc65m9IgTFACMoVBMUowQ9nYA2vK+CQCO6DfinD/EOV/I\nOV/Y1NRhmRFyAAAgAElEQVRkwMeaG845vv/CVgDAruPpCfCiyXKhUljfCARyRzvRD/3Zde34zB/W\nYul9sUMZcoU/GEYgxJMulI4GvbBrEWlsmcTZ0wnF5CLYoK0sFQVHlY7E39VlJ8kncZFJU1ORvrBL\nDADnOKzpECm+s7ZGNx799Kk4XVf0duGsZrVttBZxQhXjAtt7C58l8+q243hmXTvufG4zfv36buzt\nHEJTlQMXzR6rbkMee3KMEPY1AKYxxiYzxuwArgPwvAHvW9Ro+5HPGhd7QMVDLGyF4gi7tnfKN/6y\nKUvrRoc/GMZ1D8nj2FwG9beO8yeqCJHLJM6uCnuSUMziyamHWY+WOk0oRRTNJhtALUIv+7o8qKmw\nRVWmpoJB/v5Evx4g4rGPFhEmnFjvQrXTGhWWKRRiX587vgaPrdyHbccGMKXRHbUO0VCkfeTzRdZH\nKec8yBj7dwAvA7AAeJRzviXFy0qeXYon9otrTsLSWekN1BWZItuODuLJ1QdxvabXRW+C3iL5YPux\nAaw/KA+/yEVPm4/ovp/qLMrdfUqnSH0r4buWzURDpR0XzxmbMESSDdqsFnE14k7yOWL7jkEf2hoS\n59zHQ1485VGzUDMdASdeV+uyYXpzFZ54/yD8wTB+cMWcpCm6uaTH44fdKuEzZ7bhK09tRO9wAN+4\neEbUNqM5EZYjhuzhnPN/APiHEe9VKuxSYpVnTW9M+zJbjOJ8au0hPLX2EP606gB+fs1J+OBQL+76\n64e5MjUl2zUDuI3ulveFc0/Aly6YFvWYWOTzZpBt4wvKM1j1xSu3nD0lcyPTQHiTCybWqqGeZB67\n1sMfzcIpoMTYw9FXdplWYY6tkUMaVU4bPrFoIl7acgzPrmvHhbOao0If+aR7yI9Gtx1TGiOZPSJ1\n86TWWvXYIhJDNbk5YlfHEGoqbGgaRT8L/Qi3rUcHsOxX70Q9dulJ4/B/G2OWMHLK1iORoRDJvNBM\nuHBWc4xn6FQWPr2ZZMUowp5vxtVW4Hc3LMDZ05vwpSc/AIC4IwMFFXYLHFYJvmAY4+tST0PSIrJi\ntMKeacy5pUb+7AqbBadpQlTJ2kTkmh6PD/WV9qghI61KJfFzX1hiypRMs0HXMzliV8cQpo2pHFXZ\ns7avymkJ4sB3LZuJjd/5CAC5WjEfaIXd6B4sY+IIkhD6Ef/oG4H5giE4CiRKy+a2oNJhVUMxqfqP\niTF5p7WNLuYv3le7AJ2shUIyJignlcVT6uG0WfDt5TMBZFabMFq+/8JWXPabFTGPH+nzYmy1EzWa\n8JZI57RIjMIwaUDfUI7o9fhHXUSh9djnt9biQk3s+f4bFuDWs6egudqBGpdNOWkYZm5Sujw+uOwW\nzGiuiso3N4J4nqbwFjOZB+sLFMZj1yLkVt8ATc83LjoR581owhXzR1f2IZqAaYU9U7E7Z3oTnvn8\n6bhpSRuASJtiMX5OEA5zfP2ZjVi9r0f/FhnzyIp9UaMSxecc6PGo3vqqO8/HX+OkaRLJIWHPEWHO\nUx7YerRl9pLE1JarALBoSgO+tWxmpCRfYnGzZ3IB5/IB//JXzlYv3Y0iXr65SFXUD6VOh0KFYrRc\nc4qc/XtiS/KWv8vnteCxm08bVaojIK/FcA6ISYNrv700IzsBOV5/alu9ul+JTpX6kYLbjg3gmXXt\nuPbBVWo/HoGRoZGOQR+8gTAmKROwWmoqMD/B1DEiMSTsOYLz9KbvaNH2DrdKLEroLbr3khhLmgtu\nJPJJytj3vHL+eIyvjX+SkBc/Ixkuo8EXDOW9OEnP8nkt2P/j5YafBAWMRTx2p00ytC+5yBga9gVx\nqCeS+qj1rH/12i71dv9wADO+/RKeeD+7ObUC0UhttJlCRDQlt3j61s5OVDqsuOr+d3H3pbMwvbkK\n7X0juHZhZiPSMiVTMZSYnKMsMRYVmpF0p2CrhakFS7kmk6uPVNz38ZMTPscYg9NqieuxH+v3orrC\nmjBl0RcM571PTL5R6pMQCvOYE362iDDYw+/sw73/3I4nb1mM7z7/YdTvr+3dcqh3GP5QGN/662Z8\nYlH6o+hGdFcEfcN+OG0WHFCF3dyD3c1OSQl7IBTGTY+uVu8/+PZetfGREcI+4g9h8+H+hAubWjhS\nx1jjwZRm2xaJRXnw+owZieUvFBMOj/7qI1sq7BZ4A7GLp4vvfQ0LJ9Xh2S/Ej7uaIRSTa0QTsFyc\ncC0Sg9MmqV0yr3/4vajnPzqvBW/v7FT7or+2rUN9zh8MJ80E0vLSlsj8285BH0794auYOqYSuzuG\nwJicZURkTkkdAfqhAdqFuUzigLc/sT7qRPHVpzfg2gdXoWPQm+RVMmHO4zbRSReLLhSjP4AtUv5C\nMZzzvC3UCpxWKcZjF31g1h7oTfg6WdjNPxg8G0S6YzjMMx79l4xkKa2zxlVjwBvE9mODuOw3K/E/\nmrDM4b6RhK/Tc7Bb3rbKacW2o3LWleh9xHmsI0OMjpIS9r26RR1tXDCThlIvbjqKt3ZGGnK9u0fu\nlZ6Onmbq5YoTkEViUaGcGGHPo8cuX33k5aNUnHZLTFZMryd1JaovECoPj50DIeXKzmj0Az/uWjZT\nvS06eWqPC8Fo9kdxRWDNo4NSTpTUEZCs5WiXJ/PZjkJsRYl7ujtiNsechaUIxUiRniS5JheX/Klw\nWmOFPZ35nP5guGB57PkiUqCUWbgvFRfPidRHXHHyOJw9PdK0r7HSAadNQnec3+LdPelPYhK9lMI8\n1lG65azJcV5BjIaiE/Z1B3oS9iTXp2Fp6R7KvNeKmHIjSMczyVYMpZhQTPTzFokhlLesmPzH2J02\nKSbGrm2ElghfMBzTJ6bUYJA9dp6DbCUAUfUT9117ctRnWCSGBrcD3UP+mOrU7/x9S9ohTxHO5LoK\n2kWT63HXchrAli1FdwRcdf8qfPTXK2J2oAFvAC9/mHj6kBho4A2E8LWnN+LaB1fhn5uPJtxey/zv\nvxI1NixdYc9ECyOj46LTH/XCms/F01wJSDIq7NFZMS9sOoLvKW2Qk9kiV54W3W49KiQWEcRchGJE\n+mRNhQ2SbhGfMXnU3nMfHMZIIIRlc8di2dyIh6/Pf9fTMeBFx4BXvbrmPPoKmMIyxlBUWTFaITva\n741aOf/gYB8GfUHcft4J+O0be2Je26V47Ct2deEv69sBAKv39eDvt5+Bk1prY7bXT++59U/r4tqR\niEy9XDXGbpGSClg+F09F+mU+cVotUVdK//7EB+rtZC1qzVB5mmskZdBGKIchsk13f0QNkUi6RXyt\np263SLho9lj8Y7Ps+HQO+pIOlvnY795VF1ntVknJx488nydfpeQpqiPg2EAkG+Xu57egT9PKdnO7\n3FZ24SQ5FVFfzSdCMfpMiw+PxA/riPmVVy2YEPNcOoLKefYx9mTeWD4XTzO9+sgGp8Zj1/+dyfqY\nlFtWTK6yR6qdNvUY0i/i33LWFCxRBnm0Nbqj9g3tHAI9A95AVObM1KZKcERnrOVrny51ikvYNYMF\n/rX1OL705w3q/U3t/ZjS5MbiKQ1YPrcFf7/9DPW5aqdVDcXod5wjCVK0hLCfMTUyieb0KfLtdAqD\nsk0RtEjJvWQpzy0FCuGxi/mlYtH6C+eegE8vaYM/GI4byw2HOfyh0vfYmZrHnp9sJUm31rN0VjOe\nuGUxXv3qObj9vKlRV6Y9SZIU9LN8W+sr5EVgzW9JnRuNoaiOAH26m1hMO9w3gjd2dGDe+BpU2C34\n7Q0L0Kb0mrBbJdS67OhTxCFW2OPnpA8q03uqNQMMbloyKe57xCPTxVPxzhZJSumx57OlQL499gp7\nJI9d/M4zW6rV2oRAKPZv94dSj8UrBZiIsfPc5LHrSbTWM3VMJWwWKapewx/ndxF06xa/x9VWIMyj\nwy/5SggodYoqxq6fIiRayL6y5RgCIR417BYAVnzzPDisFnz8wVXYeKgPU+58EV+6YHrUNvqiihc2\nHUFrnUv12KucVjz+uUWQGIPHJz+WTpphppWnAosU2x8m+vnS99hH/KGoboL1LjuOK5XE/lBslaPw\n8Es9FCMvnspXKEa3FIhHqs/Qin28eb0C4c1Pb67EzuNDcNos4JxHeen5SuEtdYpa2EWsdcuRATS4\n7Zg3IbqwYkKd3EhIkhj2dsir8O/t7Y7aRh+KEYt0nz/nBADyQt3MFnlm6Rvb5fLpYBp7X7IdPB0k\nxpJ6yZLE8rbQlIsmYKkQWTHXPrhKHfxcXWFVxXzrkQG1tcOBbg/+9sERXHea3Dai1EMxogFcKJyf\n+oJUv7326WRhSrHO9edbT4fbYcGvXtul9rwRTG+uTPRyYhQU1RHQOxyAVWJ45vOn46xpjfAoPaMP\n9gxjSpM7YRaKdsesr4weQ9YxED8m+MBbcmZNlWbkmLgkTX/xNBuPnSXNqrGm8Nj3dA7h0l+vSLqY\nlS6FKFDSCsQWZYHbabOown7tg6vUhlGf+cMa/PerO7FHKUl3O0rbYxfDrMMceQnFpMru0jaoC8Vx\nel7cdBRX3/8uOgZ9sEoMdS4bHFaLeoISP/VPrpqLe6+cZ6TpZUtRCXvfsB+1LjtObatHS40Twz7Z\nY+8c8iUdDaYVpZAuBqgV6WAodqfUDgm2KgdRnM1iyNTLFeZYU7w4VR77T1/ajs2H+/G7N3djzf7s\nhiMUokBJrHEAkYpip9USVXwkCpjE/wNK+CwXw6rNBGMMXGnbm49arFSZN0zjs8fz2O94bhPWHujF\n8xuOoM5tV/elyAlKfs0ZUxsNn6lbrhSVsN9z2Rz86ytnA5AHBQuPvWvQl3S2qHbH1OenaxnyxfaT\n0ebkihNEOqEYjuy8qVQeskVKvogr1g4eW7kf1zywKmM7AAAceV88/crS6fje5bNx+3knqI85bVJU\nXF38DsI2sQZi9Pg+s6E0AM1J2954pNyNNc/rQ5BH+kbU9apjA140uCNXzELgxWvyfVVYyhSVsNut\nkjoN3m23wuMLwhsIYcAbTOqxezSC7QsmFmWxA2rRnhTE7XQWeIzo7pjq+WQZBPqnjvWn7kiZiELE\n2BsqHfjU6W247dyp6mMOTSgGiGTGiO9KePml7rFr2/bm40oqZSiGJfbYl/z49aj79RphjzhKJOxG\nU1TCrsXtsCLMgY2H5MKk5mpnwm21O5s/ibAPeJN3DxQCkk5KVrbhi1TevsRY0gVa/d/Z3jucYMvU\nFCLGLtB633qPXfyNwrZ+pYNnqcfYJVGglKPujnpSh2IipMrU0l4Vi11KvEY/TIbInKL9Kicreeof\nf0geBDBjbPL5kgK9xx4Mczyz9hAAYEjnsX9MN2RYFfY08x2zOeZSxdhTeez6DCJ9I7PRUIgYu0D7\nuXaLBIdF67FHh2L6RuS/2WUrbY9djMYzSyhGa4LWidrdMQgAqHNF1qnGVEUcMEkv7OSxG0bRHgGn\nT2mI6gA4bUxiYdfqXzyP/evPbsI1C1vRqxG/X1xzEi4/eVzUduIgSnfxNKvK0zQufxN5R+/u6VJ7\n4whEgdZoETnGZph7wBhL7rErv5+rxD12EWMPh/Pj5aYS3KjkBM0++alH5CE1V8wfj2sXtmLrkQEs\nnRnpHMnUUEw45n2I7MhK2Blj1wC4G8BMAKdxztcaYVQ61LhseOcb58MiyYVD6a6mJ1o8DYV5lJdb\n6bTCqks5iHjs+WnbmwyLlDgU84mH3495rG84s7bF4iPMctBpv3tRaSqpHruIsZe2sItBG2HOYWW5\nV/ZUv328UEw4zHFEWde5+pQJmNlSrdaDqK9TXii8/HxcfZQL2e4VHwK4EsDbBtgyapqqHKh329Fa\nn/5E80SLpx2D3qh+3/F2stEJe3bhi0xDMdo0waljIsUemYZihMdulkNO+/vpPfZujx8WicX0CS81\n5DRBnrMJSnpGkxUjRFq0D/je5bMxe1xNvFepv5twUPJwjiobsvoqOefbOOc7jDImV2hLln3BcNwd\ndcgbjBrGYbHEE3b5/1SLp0aIYTqLp/FOMGJG60+vnodGTTHWkf7051FqUT12M8RiEFlbAbQxdtm2\njYf6UO20Fmw9IF+oWTF5qjxNdfKIDsXIv4nIwhqbJKlB0nnsZrkqLAXK7hzpC4Ti7qiDviCOa9oC\nx/OY9R5GIuL1sU4Xp9LAKtVlqVViCIQ4Vu6OHke2/qCcJbR4ckPU2sLm9vjtiVMhikcKecydqFkY\nb6134c3/PBeA1mOPbNubxSJxsaCOxstTGmqqE2W8lgJ7u+Qq4IkNia+mRWFTZPE0CyOJKFIKO2Ps\nVcbYh3H+XT6aD2KM3coYW8sYW9vZGTsIN1/4Q+G4gnuwexivbjuu3o8nrFZlpSpV295wFguO05tl\nEdPP+9Rz5QI5Y2f9gV71sUM9ckrjPZfNxsQGl2pnY6Ude7s8o2qJ+tz6dnzuj2uyOkkZxQv/cSZ2\n/fAS9b5bKRoLhMpz0Y2JGHs4tTedL3sEorJ7+7FB2CwMUxoT937Rx9jL7XfMJSmFnXO+lHM+J86/\nv4/mgzjnD3HOF3LOFzY1NaV+gYFo5SwQih+XfGbdoaj4bbxtRAZCSo9d+T+T/VQ0H9NOh4rHlCb5\ngPnFKzvVk8DaA3LrANEcS8TbpzRWIqT0Kk+Xrz69Ea9u68B+pR9LIfXDapFg0yxki8wYn9KXfXOC\nGbilijZN0AxiqN03RJhyf5cHE+tdMR04o1+n99gL/7eUCmUXigHie+P6ykxr3Bh7dIHSPzcfxacf\nWx3jCUfCF6PfUZfNbcHeHy0b1YLw7Y+vx02Prsau4/Ll7wmK6ItKWhGXFr110mGMUsm7/dgAAHMd\ndKJfTCDE1ZFs5YQIYQTDYZN47JHbQqS7UvRvAiInhEAoNqRGZEdWws4Y+xhjrB3A6QBeZIy9bIxZ\nxqKPQMRbCBRVi+KpeEImDiJx6fiFx9fjzR2dMe1zsw1fpLtQ+e3lMwEAr23vwFs7O7H2QC/q3XbV\nSxpQ0v8mNynCHgilHY4RVwGibN9MC5Li7wuEwuoVheAVpZdQKSN2jz2dHpOccGNbCnQP+dWh2Alf\npfPYzXCSKhWyzYr5K+d8AufcwTlv5pxfZJRhuSTeDtQ15It6zhqn8sOiWTx9TROP12enRITdEHMT\nsnxeS9T9XccHVU8bAL5/xRyMr61Qwzp7OoYw+c5/4F9bUnu5Ytp8UAi7UUYbgEVikJi8eKr97quc\nVkxrTq8CuZjRarkZspWiQjHK/tI55Esp7PrKUzM5D8VOeYZikhwMwgOKV9GnzWP/7B8jtVj6/uz5\nyiRpcEcfOL3DAYzRpJdduWACVt5xPiqVSkwxuPvHL21P+d7iYItUBRpismE4bRZ4A6GohewHP3lK\nAS3KH9q1IE+cjqT5JmrxlHP4giEMeoNR6bbJXievFeTUxLKjLISdI1p4k6USCmGP67Ere5++yEnv\nsUeyYnK7t9qtEk6f0oDrTm1VH2uOE9cU3Q57lDz9vZ2emG0SIUIxZvAMtbjsVnj8oai+PUumNhbQ\novzRr2kPMW1M4ScO6StPRT1IQ8pQjPx/0CSLwKVEWQi7nnRiefG2EY+9vTM6XVNfsCR03qhLS20T\nJT1P3roYd14yU70/pjqesMse+1HNAvGwP7Gnpz1RBXVFQGbB7bBg2B9Mq29PqSHWTi6c1YyvXzSj\nwNbEtu0Vwp46FKPx2E3mOBQ7RdsEbDTELp5G35/c6Ma+rmgvNp6wi2yMVbq5qTHpj0LYR29qDNu+\nd3HKkI52fF+89sXCYz/QE/kbN7f3Y9GUhrjvp+1yGTRp8YjLbsWwPxR36lWpIyZFXbuwNaafUSGI\nzooJ4/svbAUANKQIxUhRHnuurCtPCr9XFAB9KEYr4iJsE6/y1GqR8MnFEwHIA5NFVope17MpUNJT\nYbfAmaL3iSQxnKmEIcbVxOa/T6x3YWy1Ex8eHlAf26D0sdezel8PfvDiVvW+WYuA3HbZYx9OUchV\nigiPvdppPr8sGOJYrYxibHSnCMWolafxiwaJzDHfnpEH9Jd98UQ8UbhGdKhrrHTAoaTdJYyx59EN\n+f1NC7FiVxfOO3FMzHN2q4Szpzfi6bXtqHJYUeu2JRT2ax+MHqNnxqwYAHA5rBgYCWDX8cFCm5J3\nxECY6orEIbp8ohVlbSJBS23iPjGAJsYeyk9f+XKiLDx2sauJVXr9TmSLczmbSNiblUEBS05oUIVb\nnxWjVp5maG8mOG0WLJ3VnNBuUSxy4+mTMG9CrZohoyVeG4OASXtlu+0WDPmCam+cckKMC5yUpA9L\nPtHuGiJM9KULpsU9rrRoY+wm272KnrLy2FtqKtA15I8Rv2RVpnrOmdGEH35sDq5aMAF/++AwgMQe\nu5kWHD935hRUOW347JmT8cMXt6lDKbQc7Ikdn6d67Ob5UwDIMfb+kUBaLZRLjSvmj8cVuulehUS7\nb6zeJ4dhapMs+OtfF6TFU8MpC2EXDnVboxubD/fHVCtqQzFi20SXhjaLhBsWTQIQCbUkLlAyz85a\n57arfWhcdguG/XIVKmMMB7o9GAmEcKA7nrCb02N32S1qrBmQi7GIwhBv36h0pJaWqKwYk+1fxU5Z\nhGIEnzhNXvgU4/QEcXPW43jxMduw+KEYM7S6TYbbYUUwzNV8/HN+9iYu/uU76uzXW86ajJvPaAMA\nBEw6aNhulVT7/+ujs3Dj4kkFtqh80e7mP7lqLoDovvkJX6d67LR4ajRl4bGLqHdTlQOXnjQO1U4r\nLj1pHP72wWH8ec2huKGYVBOMgMQTlfLVUiBT3Epe+7A/FJVx8+q2DjisEu5aPgveQAiPrdxvWo9d\nG79N57cicod21/j4qRNx4ayxSWsvIq+jytNcUSbCLmORGH59/Xz1/uHeEVnY4+xVLI2lz0SLp2aM\nsWtxKZfJHl8Q9e7oXGN9b2wRYzcbds3JON6Jmcgf+v1cv08lIjqPnX5DIzHZBXZuSBQ3F5KlLfL4\n4gXTAAC2UYRi9DUyZoyxa3ErBUvD/lBMcdU9l80GELkaCeiE3iyQx24eMv32tTF26uxoLGXhsQvp\n0seJRQtbrYjfft5U3H7e1LTeV52BmiAUY9Zd1a00BRvyBdE7HJnz+t1LZ+GTSqxa9abMGorRDHCw\nmG0BoMzI9Mo0so9RuqPRlNUREW+RNNnjqZBSLJ6aVW/EaLlhfxCH++Qh1/Mm1KjZPoB8sFokZtqW\nAlqPPZ2rKyJ3ZL5vUFZMrigPjz2B0KqhmAz3zESLp/nq7pgpoimYxxdS+8Lce+XcmDFmFsZM2wRM\nG2Ony/jcc/1pE9GUoPdLOutR8RA/244yrB7ONWUh7AJ9jH3JCXITrOsXTcRzSrHRaFDz2BN0dzQr\nkRh7ED0eORQzoTa2ilGSzNsEjGLs+eXeK+cmfC7Tc75ZHZ9SoKyEXe91TqhzYf+Pl2f8ftqJStGY\n22N3a7JixFzUqjgNpSyMwR80aYw9SthNGvMqEzLdNUy2S5UUZXFE5MqBThyKkf83mxgKxOLpf/19\nC0YCITisUtySbkkTYzfbn6ING6VTTEbkjswXTyOve+SmhUaZQ6BMhF1g9OEfWTyNftzsladOa6Qo\nadvRAVTY47cFtkjMvFkxFIoxDZl++9pdyiydKkuFshD2Oy85EQBQaXD/aqEnYc6x7kCvKoJmrzzV\neucHuoejhF6LhZnZY9cUKFEopqBketLXevrxQoFE5pTFEfHxUydi/4+Xp2wjOlpEKGbF7i5cdf+7\n+P2KfQDMX3mq5WDPcEKPXZKYWnlqao+dQjEFJfPF08jtaid57EZSFsKeK4Tn++TqgwCAHcfktC2z\nFyjpcVgT5fczeINyj3azCbs2w4nSHQtLtpWnAFBDoRhDIWHPAiEufUpvczE31ex57IBcZSpI6LEz\nhgPdw5AYMH1sZb5MSwuPPzIUxEahmMKSaVaM5rY7jTa/RPrQEZEFWk/RYZWw7egAgqFwJMZu4m/3\n5jMmqxOlKhLMVO1X+p2fN2MMxlQlH3OWb7TVvuSxFxYjYuyEsWQlPYyxnzHGtjPGNjHG/soYqzXK\nsGJAu0Mvn9cCXzCM+9/cUzQxdjEMIdGw7CGfnON+vdLH3kwsndms3qYYe2HJPBQj/+9OcMVIZE62\nPuUrAOZwzucB2AngzuxNKhyJYs2J0HqKYojHL17ZqTbWMrvcVCkLVok8dsGE+op8mDMqLBJDS418\nFUHpjoUlUwfGqxS/TR9bZaQ5BLIUds75vzjnQeXuewAmZG9SYXj/Wxfg/W9dMKrXaJNs5k6owb+d\nMwUA8MrW4wDSGw9WSERhlRh0nYiJ9eYYmqxHZMaY/cqo1Mn0vCpet2xOi3HGEACMjbF/BsA/DXy/\nvNJc7UStK70BAQJtKMZhteDfzpZniq7a0w0AmGiSKfKJ2Hp0AEDqUIvLbs4TlOjqGNQ3xCfySqZN\nwM6c2ohnP386PnfWZIMtIlIesYyxVwGMjfPUXZzzvyvb3AUgCODxJO9zK4BbAWDiRPPFbDNBv2hX\n57LBbpWwv3sYLrsFTZXJPeFCc9+1J2Hb0QHMSHAp7LJbTJ1fPG9CLfZ0ehKuERB5IuNeMQwL2+qN\ntYUAkIawc86XJnueMXYTgI8CuIBznrAtC+f8IQAPAcDChQtN3v8wPYTHbteEBJqrHTjUM4I542tM\nHyK4ckHyyNkH37kwT5Zkxr1XzsV1p7ai1aShonKBljjMR1bX2IyxiwF8E8A5nPNhY0wqHgJKCGDq\nmEiOtyjPXzpzTEFsMhJHglYDZsFps2DRlIZCm1H2mN2BKUeyjbH/BkAVgFcYYxsYYw8YYFPR0Nbg\nxm3nnoDfazrTnT29CYCc+00Q5QDJuvnIymPnnKc3HLREkSSGb1x8YtRj37z4RFx20jhMa6YULqI8\nMHOFdbli4trI4sRulXBSa1nVaRFlDum6+SBhJwiCKDFI2AmCyAoKxZgPEnaCILKCdN18kLATBJEV\npOvmg4SdIIisoFCM+SBhJwgiK0jXzQcJO0EQWUGVp+aDhJ0gCKLEIGEnCIIoMUjYCYIgSgwSdoIg\niB5+TxcAAAXOSURBVBKDhJ0gCKLEIGEnCIIoMUjYCYIgSgxzTikmCKKouPvSWTS/1ESQsBMEkTWf\nPmNyoU0gNFAohiAIosQgYScIgigxSNgJgiBKDBJ2giCIEoOEnSAIosQgYScIgigxSNgJgiBKDBJ2\ngiCIEoNxzvP/oYx1AjiQ4csbAXQZaI6RmNk2wNz2kW2ZYWbbAHPbV4y2TeKcN6V6cUGEPRsYY2s5\n5wsLbUc8zGwbYG77yLbMMLNtgLntK2XbKBRDEARRYpCwEwRBlBjFKOwPFdqAJJjZNsDc9pFtmWFm\n2wBz21eythVdjJ0gCIJITjF67ARBEEQSikrYGWMXM8Z2MMZ2M8buKMDnP8oY62CMfah5rJ4x9gpj\nbJfyf53yOGOM/UqxdRNjbEGObWtljL3BGNvGGNvCGPuSWexjjDkZY6sZYxsV2+5RHp/MGHtfse0p\nxphdedyh3N+tPN+WK9s0NloYYx8wxl4woW37GWObGWMbGGNrlccK/rsqn1fLGHuWMbZd2fdON4Nt\njLEZyvcl/g0wxr5sBtuUz/uKcix8yBh7UjlGjNvnOOdF8Q+ABcAeAFMA2AFsBDArzzacDWABgA81\nj/0UwB3K7TsA/ES5vQzAPwEwAIsBvJ9j21oALFBuVwHYCWCWGexTPqNSuW0D8L7ymU8DuE55/AEA\nX1Bu3wbgAeX2dQCeysNv+1UATwB4QblvJtv2A2jUPVbw31X5vD8C+Jxy2w6g1iy2aWy0ADgGYJIZ\nbAMwHsA+ABWafe3TRu5zOf9SDfwyTgfwsub+nQDuLIAdbYgW9h0AWpTbLQB2KLcfBHB9vO3yZOff\nAVxoNvsAuACsB7AIcgGGVf/7AngZwOnKbauyHcuhTRMAvAbgfAAvKAe3KWxTPmc/YoW94L8rgGpF\noJjZbNPZ8xEAK81iG2RhPwSgXtmHXgBwkZH7XDGFYsSXIWhXHis0zZzzowCg/D9Gebxg9iqXavMh\ne8amsE8JdWwA0AHgFchXX32c82Ccz1dtU57vB9CQK9sA/BLANwCElfsNJrINADiAfzHG1jHGblUe\nM8PvOgVAJ4DHlDDW7xljbpPYpuU6AE8qtwtuG+f8MICfAzgI4CjkfWgdDNzniknYWZzHzJzSUxB7\nGWOVAP4C4Muc84Fkm8Z5LGf2cc5DnPOTIXvHpwGYmeTz82YbY+yjADo45+u0Dyf5/EL8rmdwzhcA\nuATA7Yyxs5Nsm0/7rJBDk/dzzucD8EAObyQi79+dEqe+DMAzqTaN81iu9rk6AJcDmAxgHAA35N82\n0eeP2rZiEvZ2AK2a+xMAHCmQLVqOM8ZaAED5v0N5PO/2MsZskEX9cc75c2azDwA4530A3oQcx6xl\njImB6trPV21Tnq8B0JMjk84AcBljbD+AP0MOx/zSJLYBADjnR5T/OwD8FfKJ0Qy/azuAds75+8r9\nZyELvRlsE1wCYD3n/Lhy3wy2LQWwj3PeyTkPAHgOwBIYuM8Vk7CvATBNWTm2Q768er7ANgGyDTcp\nt2+CHNsWj39KWW1fDKBfXALmAsYYA/AIgG2c8/vMZB9jrIkxVqvcroC8Y28D8AaAqxPYJmy+GsDr\nXAkwGg3n/E7O+QTOeRvkfep1zvkNZrANABhjbsZYlbgNOV78IUzwu3LOjwE4xBiboTx0AYCtZrBN\nw/WIhGGEDYW27SCAxYwxl3Lciu/NuH0u1wsXBi86LIOc7bEHwF0F+PwnIcfEApDPop+FHOt6DcAu\n5f96ZVsG4LeKrZsBLMyxbWdCvjzbBGCD8m+ZGewDMA/AB4ptHwL4jvL4FACrAeyGfKnsUB53Kvd3\nK89PydPvey4iWTGmsE2xY6Pyb4vY783wuyqfdzKAtcpv+zcAdSayzQWgG0CN5jGz2HYPgO3K8fAn\nAA4j9zmqPCUIgigxiikUQxAEQaQBCTtBEESJQcJOEARRYpCwEwRBlBgk7ARBECUGCTtBEESJQcJO\nEARRYpCwEwRBlBj/HwLZRWUsjEz3AAAAAElFTkSuQmCC\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fdefd3fb9e8>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "z = zscore(spreads.ratio)\n", "plt.plot(z)\n", @@ -78,7 +422,9 @@ { "cell_type": "code", "execution_count": null, - "metadata": {}, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [] } |
