diff options
Diffstat (limited to 'python/notebooks/Beta & Compression.ipynb')
| -rw-r--r-- | python/notebooks/Beta & Compression.ipynb | 306 |
1 files changed, 60 insertions, 246 deletions
diff --git a/python/notebooks/Beta & Compression.ipynb b/python/notebooks/Beta & Compression.ipynb index cfeadfa7..b592a688 100644 --- a/python/notebooks/Beta & Compression.ipynb +++ b/python/notebooks/Beta & Compression.ipynb @@ -2,8 +2,10 @@ "cells": [ { "cell_type": "code", - "execution_count": 61, - "metadata": {}, + "execution_count": 76, + "metadata": { + "collapsed": true + }, "outputs": [], "source": [ "%matplotlib inline\n", @@ -19,184 +21,37 @@ }, { "cell_type": "code", - "execution_count": 62, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "betas = beta_trade.calc_betas(spans=[20,45,90,180], index_pair = ['HY','IG'])" - ] - }, - { - "cell_type": "code", - "execution_count": 63, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3.3451255847204062" - ] - }, - "execution_count": 63, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAEKCAYAAAARnO4WAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXd4HNXV/79ndleSJUsustyNOy7ggnHBhd4xoQVCSyEU\npxBCyAsESMgbSHhxXhKSXwKEGnoMgVBeuinGFBsbGxcMNtjGsi33blmypC3398fMnb0zOzM7szuz\nu9q9n+fRo93ZKXfaueeeewoxxiCRSCSS4kfJdwMkEolEkhukwJdIJJISQQp8iUQiKRGkwJdIJJIS\nQQp8iUQiKRGkwJdIJJISQQp8iUQiKRGkwJdIJJISQQp8iUQiKRHC+W6ASLdu3diAAQPy3QyJRCJp\nNyxevHgnY6zOzboFJfAHDBiARYsW5bsZEolE0m4govVu15UmHYlEIikRpMCXSCSSEkEKfIlEIikR\nCsqGL5FIiptoNIqGhga0tLTkuyntjoqKCvTt2xeRSCTjfUiBL5FIckZDQwOqq6sxYMAAEFG+m9Nu\nYIxh165daGhowMCBAzPejzTpSCSSnNHS0oLa2lop7D1CRKitrc16ZCQFvkQiySlS2GeGH9dNCnxJ\nCo0tUby0ZFO+myGRSHxGCnxJCre+tAK/eHYpljfszXdTJBLfCYVCGDt2rP43c+ZMvPzyyzjnnHP0\nde68804MGTJE//7KK6/grLPOAqAGiB599NGGfY4dOxaHH364Ydm1116LPn36IJFI6MuefvppjB49\nGqNHj8aUKVOwbNky/bc333wTw4YNw5AhQzBz5kxfz5kjJ20lKWzb3woA2H8wlueWSCT+06FDByxd\nutSwbMeOHZgxY4b+ff78+aipqcH27dvRvXt3zJs3D1OnTtV/b2xsxMaNG9GvXz+sXLky5RiJRAIv\nvvgi+vXrhw8++ADHHXccAGDgwIGYO3cuunTpgjfeeAMzZszAggULEI/HcfXVV+Ptt99G3759MWHC\nBJx11lkYOXKkr+cuNXxJCuGQaiuMCpqJRFLM1NXVoVOnTlizZg0AYNOmTfj2t7+NefPmAQDmzZuH\nKVOm6Ot/5zvfwbPPPgsAmDVrFi6++GLD/ubMmYPDDz8cP/nJTzBr1ix9+ZQpU9ClSxcAwFFHHYWG\nhgYAwMKFCzFkyBAMGjQIZWVluOiii/Dyyy/7fp5Sw5ekEFZUgR+Pszy3RFLM3PbKF/hy835f9zmy\ndw3++1uHOa5z8OBBjB07Vv9+880348ILL8SUKVMwb948xONxDB06FEcddRTeeustnHnmmVi+fDkm\nTJigb3P++efjsssuw/XXX49XXnkFTz/9NJ588kn9d94JnH322bjlllsQjUZT/OcfeeQRnH766QDU\nDqZfv376b3379sWCBQuyuhZWSIEvSSEcUgd+ManhS4oQK5MOAEydOlUX+JMnT8bEiRNx++23Y8mS\nJRg2bBgqKir0dbt27YouXbrgmWeewYgRI1BZWan/1tbWhtdffx1/+ctfUF1djUmTJmH27NmYPn26\nvs6cOXPwyCOP4KOPPgKg+tmbCcKbSQp8SQoRbtKRGr4kQNJp4rlmypQp+Pvf/454PI6rrroK1dXV\naGlpwfvvv2+w33MuvPBCXH311XjssccMy998803s27cPo0aNAgA0NzejsrJSF/jLly/HlVdeiTfe\neAO1tbUAVI1+48aN+j4aGhrQu3dv389R2vAlKbTFVEGfsNA6JJJiZeTIkdi8eTM+/PBDHHHEEQBU\n75v777/fYL/nnHvuubjxxhtx6qmnGpbPmjULDz/8MOrr61FfX49169Zh9uzZaG5uxoYNG3Deeefh\nySefxKGHHqpvM2HCBKxevRrr1q1DW1sbnnnmGd0ryE+khi9JIa6Zclpj0qQjKT7MNvzTTjsNM2fO\nBBFh0qRJ2Ldvn25vnzx5Mh588EFLgV9dXY1f/epXhmXNzc1466238MADD+jLqqqqMG3aNLzyyit4\n++23sWvXLvz0pz8FAITDYSxatAjhcBj33HMPTj31VMTjcVx++eU47DD/R0BkZTvKF+PHj2eyAEr+\n+dGTi/DWF9vw+7MPw/cmD8h3cyRFxMqVKzFixIh8N6PdYnX9iGgxY2y8m+2lSUeSQlk4BABoiUoN\nXyIpJqTAl6TAJ21bovE8t0QikfiJFPiSFEKaO1hLTAp8if8Ukhm5PeHHdZMCX5JCQnuupElH4jcV\nFRXYtWuXFPoe4fnwxViATJBeOpIUuDvmQWnSkfhM37590dDQgB07duS7Ke0OXvEqG6TAl6TABb5M\nrSDxm0gkklXFJkl2SJOOJAVu0onLYXe75d2V2/DB11KLlhiRGr4khURCRtq2d654XI1nqZ85Pc2a\nklIiMA2fiIYR0VLhbz8R/SKo40n8gwt6LvglEklxEJiGzxj7CsBYACCiEIBNAF4M6ngS/9AFvpT3\nEklRkSsb/okA1jLG1ufoeJIsiGvemNKkI5EUF7kS+BcBmJV2LUlBwJi04UskxUjgAp+IygCcBeA5\nm99nENEiIlokfXMLg6QNP88NkUgkvpILDf90AJ8xxrZZ/cgYe5AxNp4xNr6uri4HzZGkIy7dMiWS\noiQXAv9iSHNOu4KbdGT4u0RSXAQq8ImoEsDJAF4I8jgSf9EjbaWbjkRSVAQaeMUYawZQG+QxJP4T\nT0i3TImkGJGpFSQpcEEvvXQkkuJCCnxJCtItUyIpTqTAl6Sgm3SkW6ZEUlRIgZ8BLy/dhAOtsXw3\nIzC4wN/d1IZdB1rz3BqJROIXUuB7ZMWmfbj2maX49Yuf57spgRHTBP5X2xpx5B/eyXNrJBKJX0iB\n75EmTbPfsrclzy0JDumOKZEUJ1LgS1KISYEvkRQlJS/wEwkmNVoT8nq0b2SEtMSOkhf4Fz/0CQbf\n8rrn7RiK96WKBeCes21/C1Zt3e/7fiWpSHkvsaPkSxwuWLfb0/pEBKC4X6og3DGn/fE9RONMltyT\nSPJIyWv4XuHDZU3uFyVBaPjReBH3kAWGvNISO6TA9whPGawUscQ32/ClTbh9Ie+XxA4p8D3Cld9w\nqDgF/vbGFuw80GZYJrVziaQ4KGmBv6856nkbbu4oVg1/yYa9KctaY/E8tESSKbJ7lthR0gL/k3W7\nPG/DE4qFleIU+CGLjqw15p9NX7p8SiT5o6QFfia2zphm3ggVqcBXLJ6Ilqh/Gv6n9d68oiTekSZ8\niR0lLfAzUTYTRT5pa3Vefmr42xtlMragKeYYEUl2lLTAFzUht6aGuCb7ilXDJ0HgHz20GwCgNeqf\nwO/XpYNv+5JIJN4obYEvaEJufc+5W2axCnzRzHX5tIEAsp+0XbO9Uf8sbfjBI006EjtKW+BnpOGr\nHUPxCvzk5/Kw+nhka9KJC5tLF0+JJH+UtsAXPrvNEFnsJh1x1FMeDgHIXuBXRJKPWRBRvBKJxB2l\nLfAFdTbuUvNMaB2DlftiMVBbVQ4AOGlEj6SG76OXTkxq+IEjTToSO0pa4Iu41vCL3EunTBPy3x7X\nR9fMW7LU8MVL2xaXGn7QSC8diR0lLfAzseHzjiFUpKkVOESCSSdLDT8hXGip4Usk+aOkBb4oiKIu\nNc+4tl6xmnSCmLQVTWfShh880qQjsaOkBb74Ymzd765Gra7hF+mkbRJCecSfSVvppZNb5BWW2FHa\nAl/4fMH987F+V1PabeJFLvCNXjpcw/fTpCM1fIkkX5S0wG9uixm+b9x9MO02paLhqzZ87qWT7aSt\nYDqTgVeBI/PhS+woaYH/25e/MHyPu3hRuFtmsXrpiJeAiFAWVtCSpYYv7lNq+MEjxb3EjpIW+GYS\nLgR+UsMPujX5hXdnZSEF0Vh2IiSTyXGJROI/gYotIupMRM8T0SoiWklEk4M8XrasaNiXdp1SywUT\nDlHWnjXiJSuxy5cXpEVHYkfQeur/A/AmY2w4gDEAVgZ8vKz489tfO/7eGotjnTaxW+wvFc+aGVaU\nrD1r3IycJP6xvCG1aplEAgDhoHZMRDUAjgFwGQAwxtoAtDltU+hc/OAn+MyiBGAxYZbNYYWytruL\nk4hS9gfP9v2y5oDEmiA1/EEAdgB4lIiWENHDRFQV4PECRxT2xS63uA1/6/4WPLe4Iat9STNObuFV\ny2qryvLbEEnBEaTADwMYB+AfjLEjADQBuMm8EhHNIKJFRLRox44dATYne8b375LvJgROEHlYElLi\nSyQFQZACvwFAA2Nsgfb9eagdgAHG2IOMsfGMsfF1dXUBNid7+tcmByjFbprw0+tUlPcysVfwFPuz\nKcmcwAQ+Y2wrgI1ENExbdCKAL4M6XiZ896hDPK1vDtQqRoIQFjIQKLfwy12koSKSLAhs0lbjGgBP\nE1EZgG8A/DDg43nCq6WhqS2OXp0qsGVfS9FrqoFp+MV92SSSgiZQgc8YWwpgfJDHyAavtuXm1hgG\n1FZhd1O7djZyJAh5LN0yc4u82hI7ijxe1BmvgigaT+gFQor9rSLNT2dAbSWA7FIiSIGfL6RNR2Kk\npAW+VxkWjTNEQgSi4pX3Znv7+Uf2BQAczKIIihT4uUXOmUjsKGmBzxhLauwuiCcYQgrp2m9Ro53i\nE/PXAwBmLdyQ8a5kzZPcwsW9nLSVmCl6gd/YErXN5x5nDGUesqBFEwmEtfWLVYsyn1Vji+qZtPNA\n5vMWCUOkbXFeN4mkPVD0An/U72bjnHvnWf6WYPCk4cfiDBGFSkJz4qd43clDAQCDumUeJC3jrnKM\nvN4SG4pe4APAyi37LZcnGNOLfLihNRZHhVb2r1gVVfN5nTKyJwBvHWPqPov0YhU4JaCXSDxS1AL/\n0/rdjr8nEgxV5e49U5tb46gsC5fEi8SzZfLr88HXmae9kH74uaXYY0QkmVPUAn/rPufC5AnGEFYI\nF090F3HbKrhlFu8rZTyzuupyDOpWhTU7DmS8R+mlk1vk5ZbYUdQCPx3xhKrJ3nneKADAyF41jusz\nxhBSktpvMSOe4WF9OqG5NY69zW2Ym4Gmb5i09aFtEneUwGMq8UhRC/x0DzwX4ADQp3MHjEgj8OMJ\npteyLVYtyuq8KsIKWqJxnPH/PsQP/rkQm/amL/aebp+S4JCXW2JHUQv8dMQZ81SMPMFU7Z5Q/HZS\n8bK0xBLYvK8FmzUT2dSZ73nalzTpSCSFQUkL/ASDQeA7CXGedydU5ONkqyvwyrLNWe1TTtrmFnmN\nJXaUtsBPMCia/E4nx7mWqhAAyu9L1dgSRVss2PDVdNHE5uO/unwz3lyx1XJdqeHnh5KICJd4oqgF\nfjxNxE+CqakS3MB3pSj5f41G/W42vvfIgvQrZoCVbP7VacNTlu1qMtZN/dm/luDHTy222ac4aSuF\nf9DIayyxo6gFfizu/ODHE8y1x01Sw8+3uFdZsM45xiBbxNPsXBlJ+X3XgTbEEwz7DkYNy5ds2JOy\nroy0zS2yAIrEjqIW+HFBs7TS9hlzb5MXTTrF6Jb5P6+vxN2zv7KMirU62wXrdmPwLa9jzG2zDXUF\nzr1vHjabvHhassi0KZFI/KO4Bb4giKwSqMUZgyJeAQdNlO+Km4Cc0gU0tkQx841VgdvZ/RSkD37w\nDf723hr9uyjkrfq337+arFYZZwyHdK3Uv29vbMWPn1yMLzerKS32H0yWhpTm/OCRl1hiR1EL/J6d\nKvTPLdFU4ZsQ3DLTKe288yBKnzztb++uxv1z1+L5xQ3eGuyRA63pa+wyxrBme6PrfDZWa6WbtUgw\nhuqKZIqKc+79GG9+sRU3v7AcgNoBVpWFXB1f4h/FNw6VZEtRC/ywMCFbv6sp5fdEwr0fPhO9dOCs\nRUW1uYOgTRnpJqUB4NP6PTjp7g/wj7lrve2cbD5bwJi15h7Rotr2t0RRXaHOA0jtMwfIYZTEhqIW\n+KI8PO++eSkacYLBtZcOF64hF146vBNxI5CzwY3JqLFFnVS1c5k0YyUr0p0vY9aul62xBK7+12d4\naclmwwhAEixS3EvsKOq30CyE9ja3oaOQHTMu+OGn35f6n0/YRuMJ7GhsRV11ecq6yVFAsK9ezEWH\nwldxO9rgbRa7tXST1AnGLDuKb3YcwOeb9gGAnlZakjuK0blAkh1FreGb7dZmF0LRhg84a0bM5KUz\na+FGTLjjHdvJYHXdYF84N4XF+SjDbrTBGDN0Bk99opY0XL29UV+W7izeWbkN63ammszEI0ZCvBeU\n+mfQyEsssaOoBb65lur0v32Eg21J4WaYtE0j1rgQD5FxTW5WaW6L4d45axCLJ5JpGNwOHzKkzYPA\nX7ujCVv2pSY9u2bWEgy/9U39+4JvVP/+r7cJAj/NaVz7zFLLtogjkG37W6VfuKRds2FXMy58YL5u\nJm2PFLfAt1B1mtpUO/6MJxbh620HjG6ZjvtS/5u1dr78L29/jbve+govL92sdw7hgAV+usAywBiL\n8Mtnlxl+O9gWx6vLtxiWTRvaDQAwuk9nfZl4yreckRp1yzFXxRJHFTzDplQ+g0dWGAuGu9/+CgvW\n7cYUj8kDC4mSE/gXPfgJ1mw/gNlfbgPg3uyS0N0yjQKQv1zN2sihuS2mCzolaIFvHsJYIAZFfSVo\n7QCwcU9zyvpD6joCACYPrrXc39Qh3WyPdfywOvQSXGHNZiSp4OcGKe6Dgb/PjS0xPL1gfZ5bkxlF\nLvBTl63ZfgDz1u7Uvxts+A6aEe88zGYavglfHk+wpEePzzaMlmgcv3p+uf79Xws2pt1GFLq7m9rS\nrh/VTDNiZyUascrD9pOv763a7qlkpCRYpAnNX8QR+31zPLo5Fwiu304img7gMAC6CscYuz2IRvmF\nXZbGT77ZpX/mgjp9tkz1v9pBpE708v3EEky3Xfttw5+/dheeXZQU8v/5rAF//s4Yx23iDp3YHosO\nIMpHJ0LTxWvjVPRdIUrr9SStDcEjr3EwiO/zjsZWhzULF1caPhHdD+BCANdAlXYXAOgfYLt8wc5r\n8fXPkz7pbrWguGDSEWHMqM0nGNPNKOGQvwK/k0USs3QkHFw3rYLRuOePnanLyb3yTxeMcTSRSTdB\nSXtGfLbdOEwUIm5NOlMYY98HsIcxdhuAyQD6Bdcsf3AzeeXW7MLt5ZGQYrTh8/3oJp2kd4rfbpnm\n8+lZU2GzZhInX/0tFkXeeZQwGTT85BfzxKzIMUPrpFAvAKSCHwxBe93lArcCn/vzNRNRbwBRAAOD\naZJ/uCm84VYoR2PqvspCxkumZ9FUBA3fxt6fLVGTV445rsDMso178ZuXVtj+3moRqfvYvHoAxusi\nnoWT51FFmZI+KleKo8DhioHse/2lUFKjZ4NbG/6rRNQZwF0APoOqRDycbiMiqgfQCCAOIMYYG59h\nOzPChROLYXLSSRS1xVUvnEjYJNQYsG1/C/7xvjqJI07a+o24XyLgYDSO659bhoHdqnD18UNS1r/u\n2aWO+3NKzWAQ+MIJ23Vi5x7RB+XhkH4NFUo1qbX/10VSyhSDhu9W4P8vY6wVwH+I6FWoE7ep9gBr\njmeM7Uy/mv+40/DV/+luZZum4UdCxmyZCQYcdee7+vdYgiEo815U2HFtVRl2HmjTM3JaCfyaDkmb\n/0kjuuPdVdvBWLLoi7PAT34WvXTstJyB3aoAJLXL2o7llhNbckJR0l4pBoHv1qQzn39gjLUyxvaJ\nywoVN8LF7U3kwtbspWLuVBhjiGtDC7+Fm6jhd+uYmsPHTESYNB7SvRqMGW36ccZsvW7IRsO3M+lw\n8xI/Z7Ppy7wfSfDkvxhncSEqO5XtNN23o8Anop5EdCSADkR0BBGN0/6OA1DptK0GAzCbiBYT0Qwf\n2usJP234XBuOhBTDixRPMNRWlRm+c6HqtzIr2vAbW9Lnwq8sSw7gOmjeNaJWz5hxFCASNvjhJxFN\nYO/88lhcPnWgvi8gGclcHgk+xKN+ZxOuf26ZYeTjJ3e9tQq/eenzQPYdJHIUFQziOzHjmEF5bEnm\npHsrTwXwJwB9AdwN4M/a33UAbnGx/6mMsXEATgdwNREdY16BiGYQ0SIiWrRjxw5PjU+Hkw86x/Wk\nrSZUzF4q//x4HWo7CgJfmLT1O8Rd1PCPObQu7fpcC+kQCaGjlp740/pkLVzGGAjAzPNG4bazDtOX\n//yEIYYAKrtLNKR7R1x61CEAgPPG9QEANOxR5/fNI5ALx6tOXX5ekRueX4bnFzcYqm/5yb1z1uKp\nTzYEsm9J+8MuGLE94SjwGWOPM8aOB3AZY+x44e9sxtgL6XbOGNus/d8O4EUAEy3WeZAxNp4xNr6u\nLr0Q84KbuVPRQuEkn7nfrdkt89GP6/H1tgPJYwqTts8vbvBV6IupFMQUBnYkGMPwntVY+fvTUKFp\n3Jc9+qn+O2Nqh3fRxEPwgykD9OW/PGWYYT9OCvTguo6onzkdh/fpZFh+1KBkaobHL5+IO88b5ftL\nwiOHn5i/XuaPEQgq8K8YeXrBeqzaut/VuuLVdGM9KETcjrs/JqJHiOgNACCikUR0hdMGRFRFRNX8\nM4BTANj7CGbJ+l1NaG4zmjnMQuBYC604GWnr/HJwU4iVbVokJgj8D1fvxPtf+TdqEU06bl7lBEue\nl5XtPcGYK7v61v1u5+eTiMfrWB7StSM/35Ppo3rpn5+Y3z5zmwQBz+boFBUtUfn1iytw2l8/dLWu\nWMSnfYp79wL/UQBvAeitff8awC/SbNMDwEdEtAzAQgCvMcbeTLNNxhx71/u48vFFhmXmKNPHL08Z\nYLgOFOLCtszslpmyXsJQP9dN3Vm3xAUN302zGUsWeOlalTrJy+Cu49je6F3gi3MFev4dnxTOaDyB\n9buaEBJSnb72+RaHLUqL+zQXYRkE5y+i6ba9jijdCvxujLF/A0gAAGMsBtW33hbG2DeMsTHa32GM\nsTuybGta5q3dZfjuxqTzzY4D6VcC0KYVOomk0fCf+mSDXuUJ8DdYw6DhE+HrP5yO44fV4fA+NZbr\nJ1jy+CcM747qijCOH1Yn/M5cCYWrjh6E2qoyvPbzaa7bKnZ0fle7+uMbq3DsXe8bkuC1W5UrQFZu\ncWeqyDePz6vHgJtew77m9pNnvp3Ke9cCv4mIaqG9VkR0FIB9zpvkHzd2NrfCiAtb1Q/fvRD304xq\nDugqCysoCyu2efETgoYfUghDunc0plpg7kYK3TqWY/GtJ+Ow3p3SrvvkFRPxw6kDDOY10bTgR6Qt\nT/O8YF1yAjrqJsquRJg+OmnqcqvQ5JMntSpr2zIYSWaDVy2dGV6d9inx3Qr8XwL4PwCDiOhjAE9A\nTaRW0Li5n2GbSNt9zVGsEDT1TNMl+DmsFt0PFd02r9jmyxFt+AAQURTDPhgyG4H8z7mj8J+fTLb8\n7eihdfjvbx2GptbkAJB3qn5diWkWOfnFSmZBEIsn8PGavMQPekYUZGaT4vy1u7Dgm13mTfKKngoi\nwGO0xRJ4ZuEGg5k3m4D4gILpA8etwP8SqpfNpwC2AXgIqh2/ILDrqa00/NvPPsy4wCbSdsaTi3Dm\n3z9CWyyBfc1R3PnGKm09b49lUBo+n5gLKWSbyiFhKtJOZOwE3U7amrlk0iE4sn9Xx3VEQSNOdvmh\nGFm52za1+TdXYqZ+ZxNO+PNcXPrwArz/1fbAjuMX4uUJm0q6XfzQJ7jwwU9y3CJ3BDnlcM+cNbjp\nhc/xyvLN+jKvKVAMGn6RC/wnAAwH8D8A/g5gKIAng2qUX1jdz+9PHoD6mdNxwvDuAOwFODcXfLW1\nEWt2GOu7enkw/bThNwlC9LMNewCoIxS7ylfmIu0KUcpDG1RCqCYLG75fh4pbmLA27j7omAo6Gy55\n6BNs2K1WB6u3KNZeaIiKTlm48Cdu1+4I/pry2g9iwkGvrpXM8Ll9Sny3An8YY+xKxtgc7W8GgEOD\nbJgXrO5bY0sUczRt7OcnDMHVxw82/H7aYT0BpBdC37rnI3SIJDVUrwLSKT2xV/723pqUZURkmyTO\nLPCJjA95Qgu8CoJJg9QRwHUn+f+Y/Plt68Hl9oCKUohBaEGXrfSDhIOGX2hsFVJ0B5lifs12dS5D\nVApEDd9rtHaxa/hLtIlaAAARTQLwcTBN8o7Vtb/u2WVYqGnp15w4FDecOty0jXu7oWi396rh++mW\nKcIfONVM42TDT35XiExaCgwXoE/nDr6177qTDsXHN52Aa08aalhu9548+vE6DLjpNb0Ai1s6C0Vh\n/C44wxE9s9qDq2N7EkbfeSCZkstNjeZMma/NWzQJcz2iafBXzy/XzaR2iO9ZUbplEtHnRLQcwCQA\n84ionojWQU2clpImIV9YXfzV25NmGKsiJ6LAtNqPKOTFB9Grhr+3OX0d2Wwg2AtRxlhKZ5UwPbTi\n+bx/w3H4+g+n+9KucEhJ6UCc5j/++KY6R+KmktDZY3vrn/cKrnxBvYMHo0khcf/7a/HcovS1hPOJ\nQTA5rNfcFvPcwfqN6M1l522WLaImf9dbX+mfRbPjC0s24YbnlsMt7XXSNl165DNz0ooAEAt2W8lo\nfr/IZtb2iH6dsWj9HgyqqzI8MAp5m7jdG5Bvsd5+shd0oh8+oH42eGUy42mnizHwAzvNSO+AXVxb\nO0+poMLdxWdp096DuOH55Zg+upchOV2hEI0n8O6q5MRya8zee+mShxZg/a4mLPntKblomiWD6jpi\n5wF1JB6Uhm+XBvyAKQHhujTzM4bRcTsV+Oly6ax3+stVI9Nhde3FbJJWw3ArDd+KTh0iKQFPXgjK\npMNRzTT2XkpGk455WJrbKj5Wh3rhswZs3N1s6MDSYvOyBVV4xqqy2FaL8pCFgNkWfdpfP7QsVg8A\nSzfuxZ7mKFqiwbq0OtEWS+gd+JebgwkUEzu9CQO66J8bTe+mGElrSQn54Rc0Vr1tOsGh2/BtVuT2\nvdZoAg9/+E3afZ8xqqf1fnwSQq+bUwcIHZbdIaw1fNOkbR5N0owx/PLfy3DufR/r5+NGc7LT5P0U\n+ANues3x95eWbnb8vZBIF9Dkp2OBV1qicd1t99aXvwjkGGIpT3G0Zk4xPqZfZ9f7LEoNv71g1dsO\nrK1y3CZhoeGLe+Gz+S2xeEoCtPW7mlP2V1MRwYmaq6eI0zA1Fk+knSji/PTpzwAAo/uao13J9uET\nc+kAqR6jo4XQAAAgAElEQVQ9DLmfhDTGAaj/dx5o0++hG82JAagWPGfO1CJLg9LwAeAyIZsoAPzt\n3dWBHSsbrJ4FK9v4R6uTQWT5zPzYEo2ja2UazTpLRJNOdUVykv8/WrU4TjqTpvhsFuWkbXsmndYS\n5+mOebZM0+9889ZoAqcfbq29ixARHv7B+JTALqeJqD+8thKjfjfb08PDV02OUNRvVqRzy+T58HNF\nSzRuuC96AXhhlOLmUjAGdKtOJoM7eWQPAKkBWU/Or8cT8+uzabJObVWZq5TU+cZKeDdrnim3vZLU\noL/7yILkNnnU8A9G4xivmVkMAXo+IpqsRG2/V2fT/fTwHrbXSduiEPhW9ymdtifmt7eCb98aS1ja\ncM0opAp9s03cqR2PzasH4C1vv9lGS7B/TuMJowZvnutkzKXN3CcSTDjnBMPbX27Tl/Pr5OY9YjBV\n4dJOImHyq7715S/w25e/8KUiVteOZXj5Z1Pxy5MLJvzEEqvrt7tJjU949ON6y23ceEYFwbw1O7Ft\nfyvKwyEM61GNKYNr02+UATsPqGacuupyg1dQF9PIIt17WEq5dNod6YapejI0IbHXgZYYPly9w7B9\nayzuUuCT4T/HjX3UjSmCpxjmLyf3ZiFydssUhbyVDT+Xk7ZA0tf/Xws36GYqETejnYTmXnT8sDoM\n6lal50MSNXzR7LZlr7cJVqs29O1Sie7VFZg40DmlRL6xuny7bCZtOX9/NzWgLxdc8rA6ygiHSPc2\n+2j1Tvzzo3W+HmebVs+hf9dKtAqpy8V3IazYOz9wit5Lpz2TTtCKNWo5c7/ege89shDb9rckNfxo\nwhCsYQcXrGYt2o2rmRsbKg8q4iaiZOAYOeYScnTLRG41/CHdO2KsNjG232buwtV7pLmTPvrDiXjv\n+uP06FfRfLZNKNpy84vu/asBa02PJ2wTr2dB2nG1JoneKHZeOpxvduY3o+ZNp6tBkQyqqel2n0tW\n7tAisHvUVJhMmsl1nJwfrJAmnTxi9d4lEgznjO2ND2443nIbvUatRXTm9v2turbYFk/oufDNjOiV\nzENPJg0/pBCGdu/oKpjEjcDnHZM5UMZJw0+w1Chh8wOfy0lbRTh+TYV18XRXNnwYOzIeWCee284D\nyTQLm7Q6u26xEuT8OooWwGhAgULZwBUBUavfkyYWJJTn9AshUlOOB9V/cuWvPKKkzGEBwH9+MhnR\nOMM/tMIxdhjbV3j33g3FIfAtLn6cMdR0iOCQ2krLbfhDwAWpKPi+dc9H+EZI6NTcFse3xvRG/czp\nhn08/+PJOGuMGvXJBRDfzWG9a1AeUVyZa9yswwVOG9fwuZcR7IVkqh8+mbxkcjtpS0ialGzt6i4n\nbcXz4tdmrZD7XXS/O97Ce8oJp9shPidOQU1u2dPU5spk6BbedlHR2HXAOceQVfnLXBJSuIEyGCHK\nn7mIohjuLf88tl8Xi62cSdc5Mcb0kUUhURwC32rSNs4cc9dPGKDaYsf1T3+zD7TGLF+KDpGQHqzB\n5YBB83TIVS/iJsCQH948GlA1I+tjmAOriIANu5txx2tf6hOcuXzXxahgu+hHV26ZzBiRy0061z27\nTF/GhWh5WLFMreGE04hL3Fe6yEw7WqJxfaR2xO/fxtjbZ2e0Hyv4syAqERvTjHA6ZFiR7JpZS/SU\nGNlARIZnw2/4NQmFUuewAPfvAH82xZGqHcsb9mHCHe/g0Y/9nY/IlqIQ+FbEGXN80U8e2QPLfnuK\nLvidsBP4ikK64OrcQTVRcFt7PMEcUxeLuDHpKCazhWECyWG/5knbeILhoQ/X4cst+12XOPQLcQ7B\nVuA7XArGGLbvb0kZuVjdm2g8gbBCaI0l8LCPk4BiB5ppCcHht76JSx9OukX6Kej4rsQRVLqRSKYT\n0a8s25zWDOIWJ9NktvBnLmyqHZGMxXH3DvD7ZB4pW8FNinfPLpiyIQCKROBbXft4wlnDB4BOldZ2\nZA4XJIzZZ2LkIfZ9uqjeJ1VafpWWaBxhhVzZeee4KKrBj19mciMlh+xpVn74IuZcOkGjKKrQjieY\nrRnD6Wo98tE6TPyfd/HNzibDS1pZlqqhxuIM4RDpXkFioJF+LMYsR0fmDljsUERz9/6DsYyT44nl\nGf2EN10UbKJnihX5jLTlODkfZAu/n2FFMdWDYBmNcM3OD9bHVP+3+GD285OiEPhRC23RjcBPhyhI\n7PKKb9qrDpf7dqk0bNMSTSASUlxlI/zlv5fp+brtOHqoWnx81gw1S/WMYwYB0F4Um20SKX74yc97\nm6M5z6XD3UJ//eLntlq300vPSwyu29lk6KjG9O2MkELo1jEZjBWNM0QUBbOvOwadOkTw8tJNKfsb\nePPrBk2bY36ZRU8u8Xrd8fpKjL39bdv2esEvYaebdIT9NafxMosXQD3gXGj4IQUmDd/bCJdvqbbV\nubV8hFVoE/tFIfAfn1+fsizOvAl8qzXDwotup+HzfBx1WuRnpRby3xpLIMEYPtuwV+8UUvYvtC9d\nkjWFgK5VZRhc1xH1M6fjVKGAi70N32zSSX7+7iMLdH/2XEGaZvSfzxpSfuNtc3o9uDdJPGGajFYI\nJ43ojtqqZCDNc4s2orE1hqryMLpWlRkiLEXmrU2t72rW8EcJ6SysnqmNu1NTbbiBVy0DgG37/Zng\n4y0XJ23TTQqbhdLBtrit22w6djS2ZjTqcXI+yBb+HiiK0YavKjze9+fGpCOa1PKZnM5MUQj8g6YL\nmkgwX7RXLlQBe0+GAd2Mmn2V9r8tFteFye9fsfYrHlSXzPeTbiRgJ5sdLDqIW/jhG/aJHE/aQhWm\nVi8LH0HNfMN+EtBgWjGdSySkICpoqmImxEiIPEXbiu276fTheOj744Xjpq4/W4sY9oqYcfOdlZnt\nwwxvO587qqkI40BrDL963hiL8PnvTsGSW08GkOoldu0zSzD6d7PTevckj5ncfsId72Q26jEFBfoJ\nN22aBfV9769N6ezmWygAOnzyV0nfVrHDfWbhBu+NDoiiEPiixwZjTA8kydbd7HtH9dc/i9p+n84d\n0Fez2d9z8Tjcd+k49KhR83J0KDNGxAJGuy8nGk/g621JM46dBsphsA6SSpsPXxHXNQl8xjwXZc8G\nfjusbO5cc35+car2r68jjLLM10I1n6kXQnTPBNTOxJvAT17QK6YNRKcOybkeKyXiYIYF1I0Tq/6Y\nVbip4YppAzGiVw0Gd+8IAHhWKNpSHlZQXRFBl6oyEKUqG7wDS+e/z/EyBfDTpxfjJ08tThmVEoAP\nhXkWP+35PGusQqn5lsw4BX3xLSMhSjvvId7bQjLrFIXAF+1pC9ftxkl3fwAg+/qjHcvD6K6ZasTO\nY+4Nx2GuFtDVpaoMZ4zqpf/GJ23TvcDvrTJO1KbzpFCf09TzIYd8+OaKVlaTtrmMueE2/BNH9Ej5\nTTSZfbW10TKhl3gPzFdCnSBXrznXnH+kzXOUhRXDKDAWTzimP+aHPvWwHim5lqwEfkuaSVERUZB9\ntj5p0vli8z7X+3CCt/2QrpV449qj8fuzD09ZR+zAVE8y++fHDV6ylL7++Va8sWJrSidhvqzp5h28\nwL26QsIo4pVlanrrQd3UUfbwntUAjBHadoRDCuJphHhUOME7Xl+pf374w2+weH0wE/ZuKAqBL9Is\nvNjZTtpWlYcwsrcaTdtRSMcbDim2+64sV7VXxpIPkVUP37uTOkK4eGI/AHARpGGdu9458MoooLaY\n5hISOdfw1fTMVoJEFOan/vUD/N2iYLt4zXluIU4krOjXmc+HfEsLihvesxrLG/bpnUi6zvi//r0U\nAHDcsNSALav7nk5rFBEF3WLBhv/CZ6mTypnAry2/r4f36aR3fPo6wuewYh8c6PasMklLnRJPYvrd\nz8JB3LzLo3kZY7hm1hIAwG+/NRJA0ry62yYNRVNrDL/V8vVHHDpJzn7TvMm6nU040BrDH15biW//\nY77NVsFTdAJffHC8mHSshGlVeVhPvNWvq3XErhnuNjmyVw3KtcRsVj7nXEgM76l2KC8ucX7hbW34\nDhNIZj9881yHnZkoKHhqBwagf20lRvVJToaaX/CF9am21IgwHCmPGB/dspCij5L4JBk3rx3aoxqN\nLTHs1V7CdPbXOVr9A6vHx+p6eUkvLMZlrNjkf4Un/dQsIpFT1oH6TDzwgbHAD8fpOomdtlWHd8z/\nzsE7DnMb5oR2ZnOjuThJNiQS6nvAr4N4u/hox84Lj/PGiq3658rycFrPJrF2LgAc/6f38Z378yfo\nOcUh8A2+tcnPmU7aju/fBVcdPRDlYQWb93G3yw5ptlIhIvzfz6biX1dN0rVQK3MN14r6a6kfxvR1\nrrZjTieQPJ69i1gi4ex2lu53v+HzDVadl3kUZOU7Lk5sVpiiQ2sqwmhsieG/X16hmwP4XAEfnfEO\nb1H9HrjhQGvqfRNzJXG8TDYGVajbTKaKj4go0w62xfHV1kb9u6jVW5k3NuxuxvXPL0tZzrn9VWN1\nqyA1/J0HWhFSyDJavUp7Nuy88DjlQlbdqvKwo4YvFkcXg9q+zDBQz0+KQ+ALiMIvU5POkf274NfT\nR4KIdE2jXxd3Gj4AjO7bGZ0ry1CmPSRWJgT+0IUUQm1VWdoHnMHa/OJk0jF7Kpnt0csa9qFrmuAz\nPyEQFtbvRsOeZm2Ibb+uOWClJRo3JAQTX0AgmWPo8fnrkwI/or7M/DmIxxka9jTjh499qm/Hs3d+\nuXk/7njtS6PmaqHF8XtZKXQ4XtLJ2wmKGp+Kf/DnSCywnpoczV2nI75LP3h0IU796wf6PIl4HnYm\nrb0Ok77my7BovbETPufej31xZ9zT1IaXlm7G/paYrtxc9OAn+u/8/TCbCM2Iz1tFWLGNFAeAn2vm\noh9OHYCpg7tl3PYgKA6BLwgO8dnLVOBbbdc5A8HoaNLRnvgQEao17RQA/vDql7jdwo3TWcO3xmzS\nscqZst/HoXM6Nu5R/dU/27A3rf+/WcO/+KFPDN/NGr7oFfHYvHUAkiYdfj9jiQSaTFo7v0cXPTgf\nD324Do2tMUzXJuEvnHBISru6aM/BlUcn7eI7XbovAtb27iumDcT+lpirIL108NwtholZk/bqdkAi\nrrdQiwzeo/nYiwLfKX2IXYzCBm15nVC5zIwfZp09QkwAfw4WC51LT62K2XTB8cIKriwN6laF8kjI\ncR7oXc0hY9v+FthVTQyyHKcTxSHwhWuX8Fng89qpmZg+uJ3ZSuDrycsUQnVFRK9t+/BH6/BPi4RL\nDHZ++E758I2eSh0s3CG7dQy2nqihPcLNIRjP57hhdYZ1zS/Ukg17Dd9fMs15fH+y6kLbtaoMG3er\nZjg+wtI1/ARL0Rp5x8EFWDzO0Kkygm4dyw1Ck9O5sgyr7zgdPz9xCFb9/jQAwP8t2+za7dO83ktX\nT8UAzVNkh4eOw45/L1LdWkWlPsWG73JfVqYq3hGLZhwn4XX0/86xXM5dZ48aZF/lyg/XTN60v118\nREpHd964Prq5b9rQbjhnbG/0rLEuY8mfj79eNBZlIWcNnxNWFFu54UcVtkwIXOATUYiIlhDRqwEe\nQ/8sPiTmYb/jPgTxI74gb113DJ7/8eSM2sXTLdRYCI64YNKpKg+hqTWO15Zvsd2XquFbuWU6a/ji\nJlbXI5ymcLOfiO00n8vUwd1w7hF99O/p3FTNppH+tVU4/8i+qNDOcajmfw7AUBGryWQ6C+sTeUkP\nnnQ5ViIh9UUWRxluU+FyQXHKyB740wVjMLZfZwzWPETWbs8s+6YV4iSk2YYvCugfTh1gW0vWSt5y\njV0Mcvt4jTrBbheoJWr5fC6MP4tObpBRH7RgLg8UAjabvNTMZpwOZSFb8xQX0OXhEMojiqvU2GGF\nbJXOfJWVzMXbfi2AlWnXygLuS3t4nxqDUDEP+90iviC9O3fAeBcZNa34wZQBAIBvj+ub8ht/6RRN\ncLTG4rj6X6kl/zh2E7PObplGP/wyC4HftTJ3Gr7o8kaA7jUDqCMRsQ8Qfdu3N7orUXigJYbN+1pQ\nHlYwdUjSdqqbdOIsZa6EXzp+P9piCbRGE569l9zam/nI5cwxvXH+kepzweeHtuzzVqjFCbEfN5ux\nGoW0CeoI0XofZ9/7ccoyHpgkdhrXP6dOzp5zX+r6gOqhwuGmEX5/rz1xqM0ZpI8+dwNvpkKE+l3G\nDnX1tkbD95VbGrGjsdXyXiYr5BHKwwrW7mjC3K93OB47HCJbxcEq/1cuCFTgE1FfANMBPBzkcbgw\n7NWpg+Hh9aLhi/il9Tp5R/AXJqyoD5DZhJEynLWx4TtJJtUPP/ldrNDFuWRSqp06KMRzJAJG9Ey2\nJ0TGCWYx/8tf3l6dsq8rpg1MWca1x9ZYwuC2KaasbjJFxfLrzL2E/jF3DV5Yssmz/dhtpCwvol0h\nPJvc1GZ2m80G8VoubzCaw0TF2SkXkxWrtjaiuS1mOfncYJN3X1zXrPFaKSEcP8weYs77I7XaFz87\nfggAYJnpuizdqH63CoLjGnkkpOhy5Qf/XOh47HBIsfUUzFf0bdAa/l8B3AjA9s4R0QwiWkREi3bs\ncO4x7eDPhWJ6eDPV8L0WzLCD7+WWFz/HQVPkoD5pqxDKw6mTQFc8vsjw3c5nni+yS/MrnsslEw9J\nMU+lc0cLCgLhrgtG699DIcVSGxpw02uYpeUiOax3DZ778WRMGtgVN5w6LGXdE0YkA6XE4Tr3UonG\nE3qRFF7z1Sy3eDyE20jP356pBu6IWuGmvQdttVNeSY3b7YGk+2i20aXiMyCadJzMB4qDSdBqvwDw\n2fq92GfhgcODCa3Y0diKJou6Ek7zbH4IRf6eERGuOWEoPv31Sbju5EMBJDPQco49VP3esTzVBJs0\n6SiuJ70jCjkI/CLT8InoTADbGWOLndZjjD3IGBvPGBtfV1fntKotyV7cmCrYkw1fuC/ZpmRI7jT5\n0aw1iG0uDytoNWl35tQLdnlveLtTBgRakjLRVk5EKeapXKZHFmFgqBbq2obI/uUAVLfF135+NCYM\n6IpnfzTZsjMfXJe024v3nnd6op393z+ajLH9OqcIu6Hdqz2dx/Be6vpvrNiKzxv2oTUWx9SZ7+HE\nu+dars8zpx4iBPJVhP0S+MnPVjmU/nXVpJRtyEXSMvOkbGssjjP+9mHKeqLycM0JQwy/TbjjHUy3\n2kZ715b99yn6Mh597kfMAj+1EKn29LrqcoQUwvvXH4d7LxlnWJePdh+0CESLxpIavttMoiHFPiK/\nGG34UwGcRUT1AJ4BcAIRPRXEgZgo8IVnJHMN349WpZYX5MTiCTz6cb16LIVQHlGweZ+zndpewyf9\nd8P6gu3SifyI+1RCirFzqiwLYY9g83fjPtqjpkI364j3nr90YjriZFk945Ub1tObwOfHefCDb/Ct\nez7SbdPrd1m7IyaEkR1HUQgdIiHsOtDqqhiOHeKZiBr+H789CldOG4hJA1M9YtyUFuQTmWeMUrPH\n7rJIP/CDfy40jCatqmjV72pO6Vz48yl6RPEstVEf8vTripVJ0g3oVpXitcaj5K3Sd9+nVfaKmHzw\nnVxyu9eUG0att545Ev+4VO1k3Hj5BEFgAp8xdjNjrC9jbACAiwC8xxj7bhDH0jUQU9Rppjb8kE82\nfCth+tHqnRjy6zf0ikchJX3QB+CUWkH9/92HF+CXzy7VlzvV63zge0fqn/Ol4Zvh2Qw5zW1xHPH7\nzIuLiPeea54Pfai6u545WvW5JqS6HnqdKDQLy5ghA2aqxs5XN1/3yrIQnl6wAT989NOME6ktWJdM\nRyE+wr06dcBvzhxpqW06TdoCaoQtl7t8JGLOEwMAc7/eYXArtcvR1BpL6B0HkBoMKC5zo+Gv2X4A\nbwppD8zw++vGrZrnzRpQmxpkuV0bHZqr2J3219RRy3htruDKaQMN1oIQJc+t6Ew6uUSciU/4ouH7\nZMO32M+ryzcbvitEtpO7HwheAMxmf3zJ/G924YUlm/DhanUbXrjaalJskGA/zpfANwuEkIO9EwAe\nFnLSO8GFl5WGzzlJy9bZo6ZC99nneC33d3gf40S4uP2eplTBaNcRi9pmphGmlzyUrN7l9r5apeYQ\nEwX+9d2vdQ2fT4TbTVCLE91E1k4C63c1G57j/hbClac7sOpYzJx091z8+Cl7q/GKTVrn6eK29qip\nwOC6KhzWu1PKb/w+l4eNyeasNHwiYMrg2pRJW0VIurZup38uuF7IicBnjL3PGDszqP2LL1Gmfvgi\nfrmmW8lxs0YTUsh2zuD7gheAasNPxfxef++RhZi/dhe+3Kzm7RinaRsiQwQfdSqQLl/MdWLFSSNT\nUyo7YWXD5/B7cMQhnbFhd7PBXdSr3dg8Ott1ILmvvQdTTR92hbPFGgE/n7XUlZ+3E+mSgXEUC5OO\nOOppao3pAo6fq5sOiQAc2d86PxQBuO/Scbhi2sAUpexnxw/Ro5m9VN2y8zS6VctwaWWGsiKsKJaR\nw8N71qB3pwoQUdoo2Xgi6Q4tPnsKke4WPGdV5qa7bCiQ1z077OzV5Rlq+H5pvVbDWrPA71gedlV1\niqk7TD2GRVv3HYzqD23XqlQ/e7s6t0HDJ+OsCClkO+w+YXhqmuJ0iAK/oymwKKKZeLpWqWH9t760\nQv+Na2A3npbqBeQGUXOzyiXDmHWaa7EYzqa9B7HYZYI3jlkI28n7P10wBrOuOkr/TkidtI0nmD6B\n2aWyLCnwLTR8q2I2gPqM2XWesTjDGaN64VbNw4lTP3M6rj91mO4Wna7zFc85nVtsxOXEXDhk3e5E\ngumKmVXEumFdIcJdVOYUIhwzVI0PmWAxx5ELikLgx3U7nVE7yVzD999Lh3+JhI377lpVhgNufL5t\nbPhWlEeS1Z/szEVc6OTSoHPneaMt3SkBZy+d72lpE9zANWNRcxxc1xH3XHKE/j2ip1xQv7/2eTLC\nmSdM+8mxg10fU0SMHLUW+O46Wa/ZIs1RpHad5/lH9sXkwcnJWyu3zARj6NQhgo7lYTS1xnWBX2HS\n8BUC7v/ukbCCyN4TxWwGM8OFczpPluG3vql/NkdQZ0o4pFhG+Io1sv/47dEpv4uIkdri6xdSkkqo\n2U07VxSFwE/YeOnkW+CLu+HvX5lJwyciQ/1VOxisUxlbvdfl4eSw1C6I7Lwj1ChP3zo3j5jbrTiY\ndKYMts+3YuaSiapmava24T7WQPIeWAleHjyUadrobUJUsGiDfnnpJlz/3LKUhHacq483djBOmSat\nMAdtuZ58tqinwAP2KstCaG6L6e8X70S5wL/nknG282QEox/9E5dP1D93ShPdzeseeJlAT+fS6nYk\nG1HI8rjxRFLg11WX2+bcAYy1pMX3i4j0BIZ+lbT0SlEI/KRJJ/l57g3HZfzS+iUErY5v5ZVw46nD\n0+7LzkvH6kGOhBTdNBGxOZeZ3x6FT24+MeOJ7UyxuyXReMJ2LsPLJPp1Jx+KFbedqtcY5og2bX4P\nrO7z6u0HUpZ54YG5SR9u0YZ/7TNL8fziBsRt4in2mSYodze7sznbbS9OvDrBW2JMC60G7G1vbMUz\nn27UM2VyBYoLq5BCqIhYixDVpJMUaqIZxCopnQj3qvIygZ4ulsBqctju2Hx0/NjH67BqqzoXxq8J\nZ6tDDqBEIvleijIgRISIlm7hYFscX27ejxueW+bb6MQNRSHwn5y/HoDmYqYty8Y2fbjFLH0mWLVA\nDE6pnzkdQDJFqxO26ZEt1q3f2ZQ06dho+JGQ4uq4fmPnrjf7i236+ZnlsJcOmIgshZ143bnJQHyB\nLxxvP7+QDrvkY1Za+v6DUcv7OGeVMcp82ca9qSs5INqdpw6pRW1H+7TDIvw94WYbMYsr506tJiu3\n4XMNP0SE7tXWz5BCRtdD8X3snEbg8w7ZS3CSXefQr2sHjO7bCaPTFBji8JoNLdE4fvfKlzj9/6lu\nl6KGnw5xFLdQcJVVlKSW3xKN439eX4nnFjcYTIpBUxQCn/e2iuKt+pCI2BOLYe/ZYNXp2JXDS/cw\n2RZAsdjslhc/11+2fKVOsMOuHz7lsKQXjtmV1I+qXOJcBhcoolDL5jr16awGew3rYTQjWdnhZy3c\naPlcPPh9oy38jRVbPeW4EbM81lS4r93QpUpdd4/WOcUF82iyQpT6n3vpvPWFWnkspBC62+SzV234\n1jl00mn4XvzwOXbvVSKhlrh0y/xvVAH9t3fV/E38spoTETq2RVhXTJzIl3UoC+GbnU34aM1Ox7YH\nQVEI/CTJGahMZcRFEzLX9FJaY9EGu/wgh6SpmWuv4acujMYZ/vCaqpVlWt4uaMxC/NhD6/Qc69OG\n+F8lSDyeniefUjuBTPjnZRPwm+kjMH5A0gW2W0djFbMuQgEdq/to5fvtxbwkCo0mDxOCXGDzyWZd\ne1dIT1XBlSjzs6RoLsU/OtZYJF3FaNIRN61KY24KaZlTnYKTeC4fHlltp+Fv2nsQ9Rn4vJvrLcQT\nzKAUiHEhZpt/giU7uCMOST4TXODvPNBmSJ1irvYVJEUm8JNBJJlqhWJpuCBYaVPX8tHLJjhqPnY6\nQLrTdOuPnSvsmlseDukTpoO7d8SvTks/r5EpVjZ8UZiJE4xu6N25A648epDhXtRWlRtss+K9tdMU\na6vKcM7Y3vp30ac/HaJveLMHm3CdZpLhUbKzNe19fP8uusulHthoEvj8mt18+giLUZm9ScfO7i8S\nCSmOydOuekJNLshHM1+bUh3fP3etHovylek3J/jkuTnVSSxh1PDFuJDnFxtTMZjrUHDsRvHm7YOk\nsKRB1jDDBG4m+KkQG3LpaP9nf6m+UGbhPqBbFZ790VGww64AijnXuRm3/se5wq6DioQIg7urprRu\nVeUYd4g7m2sm9NLmLowmHQVvXHs03vuvY3HMoZkl8eMCZuLAruhaVYYtmtCo39mEeiG3jt01mH/z\nifjTBWPw6GUTAHgzT4oKrhc31gpTVTaeQmB038668sNdXc2T5wYhbhb4MI5mFSJ9rsNNKpGIQo4a\n/llqGwsAABlqSURBVMJ6dSKZN+E3QizF/pYoZr6xSk/wdvPpI9Iej3OGTanDBEu14d9+9mEAgJte\n+FxPew1oPvsWN7kQBttFJvCFSMYMPcx9y5QJ44ttFtYf/ur4lPWH96zB//1sKt79r2MBmN0RrSNt\nuTveJItAjrKwfYm1fGF3X4gIN5w6HB/96nhcMW0gJg2qxTu/PBbr7jzD9zZwzySjSYcwolcNBgkZ\nN71y+9mH44ppA/HMVUehS1VE97XeYFPX1UxZWEE4pOiC0UvdU945vPmLo3H22D5p1k4SVoz28ua2\nGIjUjoBr+HykElKA4YK7qygAzd5eChkFdkgh3HT6cFRElLQ2fECNlXByyzxJS4X92A/V0dhZY5Ij\nI3MQmhezppWgbmyJpnjpAMm5G8DYuZnrUDjtO9cUlcBnTDTpeNuWr+7nTXFO92v90I/u2xmD6zpi\ndN9OhmGynQ1/d5OqkU0f3QvvX3+c4Tdu3yxE7K5M3y6Veqc7pHtHXzusYw6t04tgAM51XzPh8D6d\ncOuZI6EohLCSzLlijsxMp7jz87crt2eFXl/B4/USC7wDqmcML+FYqdnaxVxVYuI9cdrDfI5EMJjl\nqspDuHRSf6y8/TTHoiecsGIdAAWoLqTvrNyO/rWVqKsuR2VZCLub2vSRiDlKmWffdIPVO/vS0s34\n5Jvd+qiCY5j3EZqaYMxSceT7fvMXR7tuj98UlcAHki9TpnLCz2GX3a54tkbHbU2J4OzsgnXapNuU\nwbUY0K0KS249Wf/t6AAmP7Mln0rOE5dPxH9+MkX/7tekrRVhIVGWuZxduiha3i4v3hvJNMDeLnBE\nqAYGANEY0wPTqkxCPKQQugnuniGhx6wwmWkIhGMOrdM7FK4Nu+3AIyHCtn0tePKT9SneSrymAG9L\ngjG8sWIrrn9uOQCjO+cZo3qiU6V7ryWr5tkFWdl5dpmjqflHfi0Gm0aRY/r64wbuhmBnKHNMgjH9\n4cjYpOOjRLLaVVlYQR8XmneIjC88s2nbNScMxdlj+2CIVrijs/BwD/TJvbRYsZu09Wvf3LTA5204\nP06TtoG3y4tJJ3sNn2n/E7ogMzswqIFWScEudgi/OXME/vDqSn2ClDfj/euPQzxhHSXuRCSk4N1V\n2/Huqu0Y0bPaULjn/rlqbnrufcPP/X2tloDYxn5pvN/MWD0G97ynumieZhopiFHz4nyLmjwtuR5P\nqcwvgfisjexVoyttuaCoNPyt+1v1kVVBaPimRnzw9Q60xRIod6FNqqmeBYFvE2lbEQkZ/IyJCL21\nScmOHvyxcwW3a1tlJMw15klbP3nri63Y3tiKu95ahcfm1QMA/nnZeEwc2BX/dcqhjtvyx2bNDg9u\nmTYJBNPBbfi6hh9n+rLuNUZBFFLI0EmKCsXRQ+vw1nXHpCRT69e1MqO4FlF7FgvaA0kX1vPHqz7u\nXLnjglS04Y91GXDFEd/ZGm0uZVmDmmJ5nCn7pzgqXC/M05gnePln/p+IMLxnNe46fzRCinEkHzRF\nJfDX7TyQNOl43FaP0A1oKp2QTHdslSfcjKIY07Cq2TLdtY37YbsNr88l98xZA8CYHTJfmCdt/YQ/\nh/fOWasvO2F4D/z7R5PTmo92au6Y//vmV66Pl4yQ9dZOLoRufuFzAKpPOb8WPCaF5yEyjx6cOsls\nR8o79ifzzJtNJzym4ewx6uQ0N+FwYS0mJuNFTdwitttcZU30qTe365x7PwYAXPHYp9je2GroOHiH\nJe77zV8cgwvG94NCqqt2tumw3VJUAn/TnoOGRGpe2LLvYEbbZcJwNwKfjJN7dvnwreAuYnYh//kk\n00joILDSwvzinkvHpV/JBu6d5cUkxyd4vZ6HaF4YcNNraI7GU+IU+H8vylC2r5GYUNB8TtxEb16+\nu6kNd7/9tV5N7qkrJqF/rbfRhVOzJ5jqQZsTIQLAu1pAlZWJcI9FfqQdja3Ysq8Ft73ypad2ZkpR\nCfwESwZ7eH3geN6TLh4meLzAkNQi00XVAurDzF/i7z2yAB+u3un6nLiLWCFq+LlO1uaEIb+OzwFq\n6fLFOBEJKTjtsJ5pRx2tsbg+AZypDd+sPb+2fIu+jCs//J1y05nwNfzUm8yT18nOLXXdv727Gi9q\nUbJi5LNbRIXvrV8co3822+8B54l+q85gfP9U12ke4CVWtwuSwpMIWfLUJxsAZD5pW5PFi+pEWCGM\n7FWDmg4RVy8Ot+HvOxjFh6vVnBtLNnhLqGUu/FEIdIiEDKXw8onoWeJ3zqFyF9GkThCld9+89KEF\nWLR+D+pnTtedFbyaJK0isXnnx2Uf70y8jH4zff+sMLunJmza069rB0PJykzSo4u7FFNsD6xLHSlE\nHPYv/rbglhPR2BK1TFY4vGc1Vm1ttCz6HgRFpeEDySCXQindJ7Jxz0H07eLOa0AhQiLBsiqUUIga\nfrpqQblEHG34bcozuymee4T7YCiA15pVtfg7X1+ppygW4TlYXlm2OSOhDFhr7bxIDxfa89busl3X\njmwtZH++YIz+2Ty/b3eu5vrEmcRwmE2OozWXSauRk5h63GzCEbX/HjUVuhedmVeumaavkwsKUCz6\nQ6bPm9eapm458+8fYXdTG7Y75NEWUUg1UXkJvjFTiALfLAjzSYcAzUtm09VtWhi+WwgExhjufvtr\nPPDBN/jOA/Nt171m1hL8TrMBezbpWEjmsEnD53jZd7b957lH9NEnjc0eXYkM5yvcwDsRni67i1as\nxWrkJAr1WIJhjZDsrsbl6Jrv4x/vr02zpj8Ur8AvgDBmAHhIyKoHuMt9D2g2/ATLKnWqXb3RfFJh\n0aaTRngrUO4XotmF2aany4weNeX46XFJf/tqr52vpuF7rW3rdSpCUQgf3ni8YRnvBMyvkLd9Z/f+\nKQrhIq16mVnr5vNt1tGsWR0W/bpW4j8/mYLfn3M4gOS8m1XHaB6tnnT3XP1zN5f1CHJN8Qr8DLc7\nc0z6KNhs2uF2aE+aDV90zXSTZdC8j0KjzGQrX3fnGXjo+9Z1UYOm3JS6wk+ICDeeNhyj+nTSv3va\nHgCY99S5mUQM9+taiU9/fZL+/bMN6jHNE4+uJm3JurPIBD6iWLvdmN74Dq0gi1Uufj982o/s30VP\n/8Bz+je1pc47VURC+OK2Uy33IQV+jsnU/c9NJj8vmB98ty9+iAt87Tx+fcYILLj5pDRbFT7m20JE\neeuYiAiHaX7aQXmL3nfpOMy94TjP2xGp1dv4pZk4wN2kXqZeUHXV5bo7qJ6AkAgnC2mAvUQj+3FH\n+YiCC3iRPp072HZutVVl+MlxztHMbuHeMys27bP83S63v5sEcfmg8Iy8PlEImekAi2Gxy2ap1buS\ntUZ7dKpwnRNEzOMicWZYj2p8sdm6RoEfeA3t5xDUe8/D8t2YnMy5b7zy42MHY97aXYb0HLdOH4m3\ntdQQXt4pP94/0YMoFk/ogV49ayowdYh1YfvHfjgBxw3rnvWxOdUVYTS2xHDrmSM9bZetl1ZQFKXA\nv/eScWmr6uQKs3ua24km7qWjB5l4eIEW3HIiWmL5T11gRcF1Q9plLbR2EamRnjymwtx/W5U/nDXD\nvp6CG/izKZq6DhGKf3urLZxVU7TjJT8fjMZRrS1oicVtRzLHZljLwI5mzUuuzsFEw+fbRLyMGJ+8\nYmLO4lMKsxvyyFNXTMJfLky6cZ000r8e3m/caj6KyYbvxTRb27HckKu7kPBSp7WUIaiRoxyzidKc\nX+bXZ4xwXajb9pjao2lX9c2LXdoPP3zxXeHV0ACgNZqwFZB+mwe5acbJRNPLwhHDqXiLmaOH1qVE\n8QZFUQj8aUO74dwj+uIUzd7otx0+K1Js+O4245G2maaKKFS42CqUSlwjtTQXvTvnxg/aLWbBZdbw\nG1uihu9+uCjyUaSdMPUyavZHw0/uhNf3ZYyhJRbPKKgqE57/8WTcdf5ox7xB3HVTxKoTKAQKw+7h\nE/dcMs5QR7QQMD/3bv38idRAkmtmLQEQjM9xPuCK6jMzJue3IRqXTx2II/t3SUmMVXCYNHyxCDbg\nb6RwNu68fj6l4jO/fONenDWmN77edsA2c+ztHmMd3DCormPaKmjnH9kXn2/ahyumqc/S4b07obZA\nvXSKSuCXhRWUhVN723xi1tQORt1FznJta52W8zuoLJ65hrvSBRn05AVFoYIU9uLdLgspKRo+z8c0\nqK4K3+xo8qWAS6s275PNvfEz62y1kN774Y/W4TdnjsSpf/0AALBqa7IwebeO5dh5oBXfnzwg62Nm\nwsUTD8HUIbW20bSFRFEJ/ELE/Nib623aYS4DVywmnbsuGINTvtzmOW1tySHc7g5lISQYw4Zdzago\nU9C9ukJ3173l9BH4aM1OnDfOW+oGK/gEZboJxHf/69i0yeb8eFo7dYjgymkD8fBH6wAYXSP/+6yk\nNv/2dcdg38Foyva5oiystAthDwRowyeiCiJaSETLiOgLIrotqGMVMsmJsBAGdavCuP7utMmdB1oN\n381l8tornTpEcP6RffPdjIJHnPSMhNQiGcfcNQcT73gXQDKfTJeqMvzurMN8mbfiykg6k87guo4G\n7x1ju7X/PuknN52erIsbUgi1VWWYOqTW4JTQpaosoyIrpUiQMx+tAE5gjI0BMBbAaUSUnd9YO2ZU\nn0547/rjbIuXm7l86kDD95YcFUiQFAaiwBzYrSrF6yOIfDKjtERh55pGCy/8dArev/44T/vyK1tm\nOKTg7u+oHnghhbCrqQ3dqwtzQrQ9EJjAZyo8m1BE+ys5nzz+4Hs1yUwaVItrTxyqf2+NFoeGL3EH\nf1rKwwpqq8oNibmAZAZJP6d2Btd1RP3M6TjeFLg07pAunjVoPy2Q3MR0w/NqkXLzhLXEPYH6NhFR\niIiWAtgO4G3G2AKLdWYQ0SIiWrRjR26KANhhV53eDzJ5AURbqtTwSwtetq81lrBMWhYvcHddP5vF\nz3HZRrUexIxjBvm38xIj0ElbxlgcwFgi6gzgRSI6nDG2wrTOgwAeBIDx48fnbQTw9R9O9/Uh5fCQ\n+MwEfvJNH9pOJoUk/sAzQgLWwUTJgLwCFfg+Omiaz7HVpeODJJWcRC8wxvYCeB/Aabk4XiaUhRVf\nXNvMcPfpTDQxcSIuVxVxJIXBXKHkndWT88c3VwFI9ebKN1HN1uRnu8yvpUwTlTlBeunUaZo9iKgD\ngJMArArqeIUKn1zLJOSba/hB1dmVtA+slIUQEcrCCgYVmHcKz/3jZyRsyGTTyqYoUKkTpEmnF4DH\niSgEtWP5N2Ps1QCPV5AkNXzv2/JQ9rYiccmUZIb52YknGNriCZw5qlfB1TwIESEOZlnEO5t9ivAa\nAxLvBCbwGWPLARwR1P7bC7qGn8G21VqZtKYs6tpK2j+ptVub0bDnILbt34y7Lxybp1ZZ89LVUzHn\nq+2+RoaLCv6HNx6fccppiYy0DRyu4WeiifVzWfBcUuSYHp2P1uwEkDSfFBIje9f4HkUtavhS2GdH\nYc34FCF6bpEMFJ7eBZriWBI8YgzGgRZjQsAHPlALXr909dSctilfFKonUntECvyASeYx9/7QhhTC\nmaN74baz/M8CKClsrjv5UP2zOeHext0HUVMRxth+2eW/by8US+LAQkCadAImm0lbQE35LClNwgph\nsE1q3jElIuwBb9XeJM5IgR8wrMAjIiWFCw8G/O4jKQHq6BFgVHihIU06/iFNOgGT0Cdt89sOSftD\nUQhEyXqpd50/Wo/J+EGecr/nA6ks+YfU8AOGp1aQD60kU7jSUFkWxtwbj8eBllhJTej7Wc2r1JEC\nP2ASmc/ZSiQAkmbBkALUVERcp9guFqSy5B/SpBMwLIvAK4kEAKYNqQNgLPlXSkgbvn9IDT9gskme\nJpEAwDUnDMH4AV0wZXBtvpuSF6SXjn9IgR8wCd1LJ88NkbRbFIUwdUi3fDcjb6QpnyvxgLyUASM1\nfIkkO6RJxz+kwA8YPdJWPrMSSUZwk05YCv6skQI/YJJOOvJhlUgyIaa5unWtKstzS9o/0oYfMFwr\nKY/IvlUiyYQeNRU47bCe+NGxspZttkiBHzDfGtMbX21rxE+PG5Lvpkgk7ZKQQrj/e0fmuxlFgRT4\nARMJKbj59BH5boZEIpFIG75EIpGUClLgSyQSSYkgBb5EIpGUCFLgSyQSSYkgBb5EIpGUCFLgSyQS\nSYkgBb5EIpGUCFLgSyQSSYlAvEBHIUBEOwCst/m5G4CdOWyOE4XUFqCw2lNIbQEKqz2yLfYUUnsK\nqS1A+vb0Z4zVudlRQQl8J4hoEWNsfL7bARRWW4DCak8htQUorPbItthTSO0ppLYA/rZHmnQkEomk\nRJACXyKRSEqE9iTwH8x3AwQKqS1AYbWnkNoCFFZ7ZFvsKaT2FFJbAB/b025s+BKJRCLJjvak4Usk\nEokkC/Im8ImoHxHNIaKVRPQFEV2rLe9KRG8T0WrtfxdtORHR34hoDREtJ6Jxwr7+SEQrtL8Lc9CW\n4UQ0n4haieh6075OI6KvtHbelKNr49SefxLRdiJakc+22O0nj+2pIKKFRLRM289t+WqLsL8QES0h\nolfzeW203+qJ6HMiWkpEi/Lcls5E9DwRrdL2NzkfbSGiYdr14H/7iegXeb4212n7WEFEs4iowvHg\njLG8/AHoBWCc9rkawNcARgL4XwA3actvAvBH7fMZAN6AWg78KAALtOXTAbwNtZhLFYBFAGoCbkt3\nABMA3AHgemE/IQBrAQwCUAZgGYCRObg2lu3RfjsGwDgAK3J0n+yujeV+8tgeAtBR+xwBsADAUfm6\nT9rvvwTwLwCv5vNeab/VA+iWw/fbqS2PA7hS+1wGoHM+75O2TgjAVqg+8Pl6hvsAWAegg/b93wAu\nczp23jR8xtgWxthn2udGACu1Ezgb6g2G9v8c7fPZAJ5gKp8A6ExEvaBeqLmMsRhjrAmqkD0tyLYw\nxrYzxj4FEDXtaiKANYyxbxhjbQCe0fbhCR/bA8bYBwB2e22D321x2E++2sMYYwe0rxHtz9OElp/3\niYj6QlVeHvbShqDaky1+tYWIaqAqLY9o67Uxxvbmoy0mTgSwljFmFyiaq/aEAXQgojCASgCbnY5d\nEDZ8IhoA4AioWlYPxtgWQL0wUHs3QL0gG4XNGrRlywCcTkSVRNQNwPEA+gXcFjvs2pgxWbbHV/xq\ni2k/eWuPZkJZCmA7gLcZYxm3x4dr81cANwJIZNoGn9vDAMwmosVENCOPbRkEYAeARzVz18NEVJWn\ntohcBGBWpu3woz2MsU0A/gRgA4AtAPYxxmY7bZN3gU9EHQH8B8AvGGP7nVa1WMa0E3wdwDyoN2A+\ngFjAbfHUxkza4lN7fMOvthTSfhhjccbYWAB9AUwkosPz0RYiOhPAdsbY4kyO73d7NKYyxsYBOB3A\n1UR0TJ7aEoZqkvwHY+wIAE1QzR35aAvfTxmAswA8l+k+/GiPZuM/G8BAAL0BVBHRd522yavAJ6II\n1BN+mjH2grZ4m2aqgfZ/u7a8AUbNvS+04Qtj7A7G2FjG2MlQhe7qgNtih20b89QeX/CrLTb7yVt7\nOJqJ4H14NAX62JapAM4ionqoZsATiOgpr23xsT1gjPF3azuAF6GaK/PRlgYADcLo63moHUA+2sI5\nHcBnjLFtXtvhc3tOArCOMbaDMRYF8AKAKU4b5NNLh6Da5VYyxu4Wfvo/AD/QPv8AwMvC8u+TylFQ\nhy9btGF5rbbP0QBGA3Ac1vjQFjs+BTCUiAZqWsBF2j484WN7ssavtjjsJ1/tqSOiztrnDlBfnlX5\naAtj7GbGWF/G2ACoz8x7jDFHTS3I9hBRFRFV888ATgHgycvLx2uzFcBGIhqmLToRwJf5aIvAxcjC\nnONjezYAOEozZxPUa7PScQuW4Sx8tn8ApkE1dywHsFT7OwNALYB3oWrp7wLoqq1PAO6F6gXzOYDx\n2vIKqA/AlwA+ATA2B23pCVXz2A9gr/a5RvvtDKiz7msB/DpH18apPbOg2vei2vIr8tEWu/3k69pA\nVQyWaPtZAeC3+bxPwj6PQ+ZeOn5dm0FQ58aWAfgik+fY52d4LFTvu+UAXgLQJY9tqQSwC0CnHMo+\np/bcBlVRWQHgSQDlTseWkbYSiURSIuR90lYikUgkuUEKfIlEIikRpMCXSCSSEkEKfIlEIikRpMCX\nSCSSEkEKfIlEg4h+Z85GaPr9HCIamcs2SSR+IgW+ROKec6Am65NI2iXSD19S0hDRrwF8H2rSux0A\nFgPYB2AG1FS8awB8D2rwz6vab/sAfFvbxb0A6gA0A7iKMeYpWlciySVS4EtKFiI6EsBjACZBTdL1\nGYD7ATzKGNulrfMHANsYY38nosegRsE+r/32LoAfM8ZWE9EkAHcyxk7I/ZlIJO4I57sBEkkeORrA\ni4yxZgAgIp736HBN0HcG0BHAW+YNtUyHUwA8p6YxAQCUB95iiSQLpMCXlDpWQ9zHAJzDGFtGRJdB\nzW9jRgGwl6nplSWSdoGctJWUMh8AOJeIOmjZIb+lLa8GsEVLYXupsH6j9huYmr98HRFdAOg1l8fk\nrukSiXekDV9S0giTtuuhZiH8EmqRjRu1ZZ8DqGaMXUZEUwE8BKAVwPlQq1P9A2qN0giAZxhjt+f8\nJCQSl0iBL5FIJCWCNOlIJBJJiSAFvkQikZQIUuBLJBJJiSAFvkQikZQIUuBLJBJJiSAFvkQikZQI\nUuBLJBJJiSAFvkQikZQI/x+MI8q+sGrjkwAAAABJRU5ErkJggg==\n", - "text/plain": [ - "<matplotlib.figure.Figure at 0x7fdefa205e10>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "df = betas[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": 64, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3.5605098633841372" - ] - }, - "execution_count": 64, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAEKCAYAAAARnO4WAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", - "text/plain": [ - "<matplotlib.figure.Figure at 0x7fdef9849630>" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "df = betas[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": 65, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3.7082947904296049" - ] - }, - "execution_count": 65, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEKCAYAAAAW8vJGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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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": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAEKCAYAAAAW8vJGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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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, + "execution_count": 91, "metadata": {}, "outputs": [], "source": [ - "betas_EU = beta_trade.calc_betas(spans=[20,45,90,180], index_pair = ['HY','EU'])" + "betas = beta_trade.calc_betas(spans=[20,45,90,180], index_list = ['HY','IG','EU'])" ] }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "1.934075065986995" + "20 3.048090\n", + "45 3.432773\n", + "90 3.647885\n", + "180 3.751621\n", + "Name: 2017-10-30 00:00:00, dtype: float64" ] }, - "execution_count": 68, + "execution_count": 93, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEKCAYAAAAb7IIBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ - "<matplotlib.figure.Figure at 0x7fdefa4bedd8>" + "<matplotlib.figure.Figure at 0x7fdef991c400>" ] }, "metadata": {}, @@ -204,69 +59,48 @@ } ], "source": [ - "df = betas_EU[0]\n", - "plt.plot(df, label = 'EWMA20')\n", + "# HY -- IG\n", + "df = betas.xs('HY', level='index')\n", + "df = df.xs('IG', level='index', axis = 1)\n", + "plt.plot(df)\n", "plt.xlabel('date')\n", "plt.ylabel('beta')\n", "plt.legend()\n", - "df[-1]" + "df.iloc[-1]" ] }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 94, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "2.1582765145150855" - ] - }, - "execution_count": 69, - "metadata": {}, - "output_type": "execute_result" + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/lib/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", + " warnings.warn(\"No labelled objects found. \"\n" + ] }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text/plain": [ - "<matplotlib.figure.Figure at 0x7fdefa4d0fd0>" + "20 0.946303\n", + "45 1.485007\n", + "90 1.902289\n", + "180 2.035266\n", + "Name: 2017-10-30 00:00:00, dtype: float64" ] }, - "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, + "execution_count": 94, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEKCAYAAAD6q1UVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ - "<matplotlib.figure.Figure at 0x7fdefa205ba8>" + "<matplotlib.figure.Figure at 0x7fdefd451c88>" ] }, "metadata": {}, @@ -274,69 +108,48 @@ } ], "source": [ - "df = betas_EU[2]\n", - "plt.plot(df, label = 'EWMA90')\n", + "# HY -- EU\n", + "df = betas.xs('HY', level='index')\n", + "df = df.xs('EU', level='index', axis = 1)\n", + "plt.plot(df)\n", "plt.xlabel('date')\n", "plt.ylabel('beta')\n", "plt.legend()\n", - "df[-1]" + "df.iloc[-1]" ] }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 95, "metadata": {}, "outputs": [ { - "data": { - "text/plain": [ - "2.1738139367052991" - ] - }, - "execution_count": 71, - "metadata": {}, - "output_type": "execute_result" + "name": "stderr", + "output_type": "stream", + "text": [ + "/usr/lib/python3.6/site-packages/matplotlib/axes/_axes.py:545: UserWarning: No labelled objects found. Use label='...' kwarg on individual plots.\n", + " warnings.warn(\"No labelled objects found. \"\n" + ] }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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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" + "20 0.723389\n", + "45 0.669380\n", + "90 0.656251\n", + "180 0.724658\n", + "Name: 2017-10-30 00:00:00, dtype: float64" ] }, - "execution_count": 75, + "execution_count": 95, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npcLSIKGUUiosDRJKKaXC+n9L4qRW+7vyXAAAAABJRU5ErkJggg==\n", + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ - "<matplotlib.figure.Figure at 0x7fdf523281d0>" + "<matplotlib.figure.Figure at 0x7fdefa1e7710>" ] }, "metadata": {}, @@ -344,13 +157,14 @@ } ], "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", + "# HY -- EU\n", + "df = betas.xs('EU', level='index')\n", + "df = df.xs('IG', level='index', axis = 1)\n", + "plt.plot(df)\n", "plt.xlabel('date')\n", "plt.ylabel('beta')\n", "plt.legend()\n", - "df[-1]" + "df.iloc[-1]" ] }, { |
