{ "cells": [ { "cell_type": "markdown", "id": "leading-forestry", "metadata": {}, "source": [ "# pyg.timeseries.ewma\n", "\n", "The ewm functions implement the concept of time which we think is worthwhile explaining. We start with an example" ] }, { "cell_type": "code", "execution_count": 1, "id": "parental-bridges", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pyg import *; import numpy as np; import pandas as pd\n", "rtn = pd.Series(np.random.normal(0.01,1,5218), drange(2000,2020, '1b'))\n", "price = cumsum(rtn); price.name = 'price'\n", "smooth = ewma(price, 50); smooth.name = 'smooth'\n", "pd.concat([price, smooth], axis = 1).plot()" ] }, { "cell_type": "code", "execution_count": 2, "id": "touched-phone", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "## now suppose somewhow we lost 4 years of data...\n", "bad = price.copy()\n", "bad[dt(2008):dt(2012)] = np.nan\n", "smooth_bad = ewma(bad, 50); smooth_bad.name = 'smooth_bad'\n", "pd.concat([bad, smooth_bad], axis = 1).plot()" ] }, { "cell_type": "code", "execution_count": 8, "id": "comparable-royalty", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "smooth_with_time = ewma(bad, 50, time = 'b')\n", "smooth_with_time.name = 'smooth_with_business_day_clock'\n", "pd.concat([bad, smooth_bad, smooth_with_time], axis = 1).plot()" ] }, { "cell_type": "markdown", "id": "nuclear-decrease", "metadata": {}, "source": [ "What happened here? How can smooth with clock track better?\n", "
The answer is that if you provide a clock, ewma can recognise that 4 years have passed. \n", "
The old data is irrelevant, it forgets the old position and start with most of the weight on the more recent observations \n", "\n", "## What happens if the clock does not move at all?\n", "\n", "Suppose we now choose to calculate daily ewma but we are doing this with intraday data. If the number of data points per day is constant and known, then this can be done with ease. \n", "
Using time parameter, we can do this even for an irregularly spaced timeseries. We first just create some fake data:" ] }, { "cell_type": "code", "execution_count": 4, "id": "accessible-meditation", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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VkYtbm1X4nazWxt3r9ZKcnKyNVglQSpGcnIzX661qUTSaEmOaihyV50C45Jkv+HJZ4RWf89bvY8TT8+hnbMAjAdKDlnH3ixUT+dy3q0ocbVMaFiccwGdXWgKo58gmiIPYoTce8Zwl957CNLvcXlXmm6/WbpmWLVuSmJhIUlLlhDnVdLxeLy1btqxqMTSaEhMwFS6CLDXb09fYxGuu57jwq5ac06dgrsGf1u7FSYBGWMWoJ+VM4ivgjYWJXO6A2/2v0Om+QWydema5ybZ+TxrjXlvIhCFtmHJWN8AqvLHX24LmhsELF/Xm6xWFUx80jPXQ1k7j2791/ULHK4tqbdxdLhdt27atajE0Gk05sC05g3NfWcBXNx4f8kMHgwEMUSwIdqO3bKaJHAxbizQjJ8j37sm0N6w0VZNOs9wirrrNOZQWQz3JIIryjZg5kOEjjkw2rVoEZ3YlLSeAiyApOVZelbN7t+Ds3uET3nZoEscPt55I+8bhC3RUBtXaLaPRaCIDpRRjXpxPcoaPL5buDLVNnb0KgEzl5c3gaDz4McKsCj+U6QsZdoBTe1rx5I3ivDwXGAeAG3+h80pD4sFM2kyezdy1ewE4mOnjPffjvO+7FbVxDgor26NZwgRgnZrGHbFodmWgjbtGo6lwVu9KDdU+3bo/A4D/fLKCHftTAQhgkIWbKHyEs4eF0oC4ou128NkOiOXef7Hzs8JrUkrKCU/8ws2Oz0n+4Fre/X09AVPRRbYDYGbsZ39aDi4C5Jg1w2zWDCk1Gk2Nxhe0JiU9+Ji7zEqd/fnSnTixDH4AJ1nKiyGK1PT00OTo3wkHWJmYQrvDV3i6rMCBywe3wafyRtK7VvxYBikVt7k+5QLnr8z89ifu/2oVBpbcZiDHSt8rQdxuTzHXqR5o467RaCocvx1x8oP7TlZ4J5KUsIYWJDHRORuAmCgPWVhhjdc7ZzH1u3UAnP/aQs7873w6xEeFrvVxYBh46gBweo9mdD2mUeiYWQaTFkteOKUHP4cy/bjEesgov4/7v1qNkyAN61Z+KoGjQRt3jUZT4eSWxmtjWP7s3/5axDXOb7nRaZWBGNm9JT+bVvLZIcZqZixIKHh+wPKn7x04mZF3fWr5Y3Jx5I2kXQQ4Wm51fhba9oqP/AXk5q1J5NcNSbgIsD3l6O9RmWjjrtFoKpw6XhcO8uLQf12xkTqSlyisZdMmTL3mLGYHB9JSrNDnk574gescsxhpLA7ljomNjqJ+jLvAtZUjb999lMY9aCoGG2tC+x58/J/z49D+noPW3ICLIJmBqpskLQ3auGs0mgpnw940hhvLQ/svuv9LPdJJUdEknfU+DfqPY0i7RuxXdWkuB7jMMYf4QyuZ7JrJdPeztN4xCwDDWdjf/VtC3kPCg5+UzNJHzYx4eh4xZLPebBm6TmvZGzqefCiNE40VdDW2UScm6kiXqVYUa9xFpJWI/CIia0VktYjcYrdPEZGdIrLc/jk93zl3icgmEVkvIqdVpAIajab6c9vHK7jJ+WWBtmNlFxlxxxLf90xwWqPv1wJWtbM7nDOJl0Ohvp03vwmAOAuO2gEW+Npxh/9aElUj3PiZ9U/Yks1Fsv1AJjGSxQEsX343I4FoclhptgGggaTSQ6zcNz3G3l7q61cFJRm5B4D/KKW6AMcBk0QkNyn5c0qp3vbPtwD2sYuAbliFtF8REUcFyK7RaIrgq+U7OfeVP9iXll2lcviDJuc75tHb2MyCuqdzue9OANoae4mtU69A3yF9ezEn2Jc6ksVYx3wAklUcDYJW3ndndMH+YEXafBwcwfxgd1ob+2iYuqZQn+JoRjLxksoOMx5TCTc7v+RkxzIy8RJUwhXOORwj+wgoA3e7E0t9/aqgWOOulNqtlFpqb6cBa4Hwy7IszgZmKqVylFJbgU3AwPIQVqPRhCdoKjpO/pJ3vp4L9uTlzI8/YPKef3Pf41VTojKXbH+QAWKFP+7rehWLzM68GRjNR4ERxI64rUDfW0/pwK3+SQA0EyuJWIqyolOSVRzObmcXun6cx4pzX2B2B6BXys+llvFG+61ihWrHaN/jHFDWytJM5WF60Kqy1MbYQzbugpO51ZhS+dxFpA1WPdXcxMs3isg/IvKWiOQmUWgB7Mh3WiJFPww0Gk0Z+WxJIk+6XueKJediLvsApRTDjeUMNNbztOs1VHZKlcnmC5i0kP2sNY/h9JNPJhsPDwfGc1fgWowOBcswx8d5yMCLqYSuhlWTNAXL0C40u4GjcMaUWTedwJPjejJuwq1kKA+iSpdAzDQVUZLDIRXDB8FTWK+O4X7/lQDEtOzGPLM3AA1JRVw1w98OpTDuIhILfAbcqpRKBV4F2gG9gd3AM7ldw5weNjWaiEwUkcUislgnB9Nojo4ffvyOU745jnMcCwDI3L8dU4HXzrUSJ1kcXFh8rd8Kk+/L9zjesZpUonE7izY5XpeDiSe2I4W8WPJD9sg9XYXPeNq2UQwX9G+F22lYqYDNvIiZdxYksG5PapH3DCqFiwDJqk6ordFxF9MpewbTPFeRYd+3gaQSdNSMBUxQQuMuIi4sw/6BUupzAKXUXqVUUCllAtPJc70kAq3ynd4SCDvDoZSappTqr5TqHx8ff7Q6aDS1mj1bVtBA0kP7KieVhOQMvPhJU9ZI0xEsWX3SisCTYeWSeTEwFoB/DTu2yP49W9blct/k0H7uJGcmRaezdhhCAAPMvJH7A7NWM+r534s8L2gqnAQJ4GBEp3gePKsbY3o2Iwc3beNjcHqtN4cGkl6jRu7FZoUUK6nDm8BapdSz+dqbKaVy812OBVbZ27OAD0XkWazkaR2AReUqtUZTjVm3J5UG0W4a16mc3Poew3oxftY/jttcn2Ju/pWT/ziBF1w+Uoghjiz2HkynbqVIY2GairTsAHWjXew5ZOWS8Te00ubeNboL25Mz6d2qXthzT+nShBvVsZyV8zBBDOpKBvVI5+/ooVxVxD0dhhDEKDByLwmBfMY9Ps7DFUPaAPD2hAEc374R1yfu5uCuWOpLOp6RR5+7prIpScrf44HxwEoRWW633Q1cLCK9sVwuCcC/AJRSq0XkY2ANVqTNJKVK6QTTaGowuSPFrY+fXjjhVQVgKMuY/S84nIudP9Ps0Br6yQa8+CyXgkBqRuWO3Ec+9yubkzJYfO8p7E/NBBdMv3JQ6Pirl/U74rlel4Pz+rbks6XW/hPn9uDqz7rz8VWDi7yn0xCCOFBB6/MwTUUDUhlkrIXsE8Ab/vEWDFo55f046HNMXv71EZ0bA3B6/070++Q1ALb0Kr988RVNscZdKTWf8H70b4s451Hg0TLIpdHUeJ76YT13jOpc4fdRQWvsFMTBXf6rmeF+iu5GAqc5FrPcbEdQCVFOk3nr9zG8U+MKlwdg3ME3uNQzl1nfPIPDTr5VN7rkbzJTz+vBpBHtiPO6iI/zcOGAY4o9x3LLOMC07hcwFbc4P+MK5xw2zjLpcMEjYc8LmCZOAjSMi+GiAa0KHT+vX0v+88mKEsteXdArVDWaCuKVeZv5+O8dxXcsA5M+WMqanVbIYACDRGXNXd3jfB+A38weBHDy+7o9THj77wqVJT9DjNXUkUwuW3c997rsyVyj5MtdXA6DY+NjCxTQLsk5QWWwaMs+9qRksyclm7piuYSWbDzy3yFoKivbo8dTKW9alYU27hpNOTPJ8SUJ3ks4y/iDOz77p0LvNXvl7lDa3EHtm1hx2IDbzmb4d5vr8eMI9akM9qfn4A/nFDAqtvBbrs/dSZB56/fx45o9oepMsa4j1zLdcTATFwFUEUU4nr+wN+9dXbOW61TrMnsaTU2kp7EFgBfdL7Mpp+KWeBzKyOEZ16uc57B8/KN7tGDpprzi0jf7JnFev1YEdjhwUnnTXj+v20fncFWRKnihumkqwIGByZJtB/lkSSLvunIAMI4wydpmspVyeJY7WKRxP7yma01Aj9w1mnImmrzl/t2MhAq7z8bdB0KGHeCsvq3JIS/3ykbVkii3Az8OXJVo3MHKzvh9cAB3+q/NayyFW+ZoSMnyE8DAicmPa6ykX03tVa5NYo5s6lrJXnoaWyv8zaKy0cZdoylnYiWHP80uADzlmnZUq0P3pmbz24aiF/btO3CowL7hcNG+Rd56kWxnHH1a1SOAMzRyX7B5P9uTyxY5k3gwk2m/bT7i8eR0Hy4C+HEQUPkMegX7sz1OByYGDoKkZPm41/keHQ3rTaZB1JFN3RmGteBetRp0xD41EW3cNZpyZP2mDfQxNnJQxfJrsCcAKXu3l/o6F0//k8vfWmS7GsIz5fOlBRsMg7evPoH/8/+L+/wT+PGBSwAIYnChcx71SOOS6X9x4lO/lFqe/Fw9YzGPfbuO3SlZYY8/8f06POLHhws/lZczMM7rJICDRpLKGOMvrnF+l3cw6McfNPHb5f4A9qdlcbfzA+50zSRHuWg+ZnKYq9ZctHHX1EoOZPgq5Lrfvmtl4digWjIjaGW7zsooevl7OHYcsEbXu1OPnNHRI4X92nWjXdx+50Ncc9tjuJwOotwOFgatJK6fuacUKJhxtKzfmwZAIHjkB4+bAH3aNrFCEyuJNo1iMDHoY2ziZfeLAEz0/ZtNZnOSUzM48clf6Hzf96H+y1evDpX5C/dZ1nS0cdfUOj78azt9H57Doq0Hyv3aVnk2+MB7KS3iGwDw2Z8bS30dv204j58aPsNharYfD+EfUE3qeGnd0MrHEud1cUdgIvtUPdoZu3nU+Sb97AyNR8OhzLx7GkZ4N8txxhoayyGio6KsXC+VSG5B61y2qSb4cXIgNZ3dKdkE870JPffdytD2vGCvSpOxstDGXVPruPsL60t9wesLy/3aUYZJjnIRX8fLxoOWoVm8KbFM1/xkceEY7f1pOXjCRaSE4c+7R3Kb/3oALnLO4zHXm2T6ji40cu3uNAST+qRy3RuF3TtKKU63fdh0PK1S3TIAb0VfyR/BbqH9HNs1FC5aKOiz3oom+W5mgv+OSpOxstDGXVOrUOrIroTywDD9+HEgAhcO6QTAw84ZxZ539Yy/ufmjZcxbv4+Nttujv6zjD89NeOY9WKi/Au52WouDvgkO4lbnvUe8dpM6XlJj2pKjrGiQTkYin0175Kg+C4/L4EPXYyzzXsdHaVeCv6DfPdMXJFpySFSNaNrvzEp1ywC8MPlmpgYuDu3nKDcBHJzkWM4yz0RedT0Xynfvth+OWbgJvwi/ZhNZsT8aTTF8t2oPHnx0kERMDHICQTzO8jFA36/ajRn043c4EYTjBgyCP6GVkUSbybNJmDqGnECQbJ9J3eiCMdVz1+0DYNYKK4FqF9nGp56HAPAEFxe6V6zHSRvDCvdrPn4adzZpUqRsH98xju73eWkje5jjuYOovUtYuDmZIe0bFXleWraf5TsOMbSDFYVTP9pNjGHJGCvZkJ0K+TIlpmT5iSKbLGWtLA27mKmCqVe3DrnRqBcObs//Fo2gr7GJ+pLOaMff/PHT5zRO+JqeRj3AGt1HInrkrqk1XD3jb274YCmvu57jG8+9fOu5G3Wg9JEsR+K695fiJkDAHrk3b1iHZ/zjAEITmZ3u/Z5eD/3IHZ9auUoWbk6mzeTZNCA1FB8vmHznuSvvwmFCCJWyijhvanUefTu2oVndolPRel0O/DjZqFqyyWxOFNlsTkov1O+VeZvo/sAPof2bPlrG+DcXkZRmLQYKmlbu81Bu9UDBCd+dh7KIIYcMLONeIBSykmhULy9B2K2jepDS4dwCx9N/e4UOO79gnONXAB45ry9rHxpVqTJWBtq4a2oNuaPjYyWvvEAwM7lc7+EkiA8nDWOsxUS5o8LD/eMfL05kd0oWF0//k6Yks8hzA2u8V7HJcxm3OT8FrEm+L4NDQr7h/ASVwoMf01H6tMKZeIgmh/u+Wl3o2JPfryc9J88fv2GP5SLKCVgPJ6UUbvykEW11COQUOP+1GW8z3LEitJhqtWrDJ4ETedh/WanlPFp+SAjiVw4rl70rmgsHty9wPA4rEqmRWFFMbZs2JModeWWetXHX1BoGylrmuG/nGCOJDaa1nNz05xRzVsnIjUd3SQC/cvLsBb0BMNzWiPoCxzxmfL8AUIw0FtNXNjD4cSsS5hjZh1NMDqpYnGIyxLCM7mxzED7lIugvaNz3pmbz15ZkPPiOyrhn4Qkl1ErJynvoZPkKTzrmeuVzE2r9sWm/PXK33xTyjdw3J6XT1G9NHnc713rzeO/6k7g9cB1nX195SWIz8dI9500e7DwLDAcD2zTgEt/doYnWOLGMe0uxim7jjq002SoTbdw1tYb+xgY6GDvZZDZnjmnlEz+YarkmktJy2HUo/KKcovAHTf79v+VMmGFlXHQRJMrrob49cj/os0aEU1zvEjX/CdrJLqa7n+Vzz5TQNW5yfgHAJb57WG22pp9hhU6mqmhycBUa9Y967AsWffYcHgkclXFPV1H0NTZxqvE3L83NC9M8fHFTIGgefiqBYBC3BEkn17jnPRxPfubXUFRKbIehAPRrXZ+EqWPo2bJeqeUsCzm4qRNrGe0YjxNHu+F8ELTqtcaR93febDaDRh0rVbbKQht3TcTz2q+baTN5dmihyim+p9hc73gA7vlsKZ8vTWTAoz8xZOrPXPvuYuat38dLczeyN98Cok+XJDLHzleSn6XbDvLFsp38tiGJhqRwhuNPUvKFn3dumTdhGSNZDDcK5gXvIxsZ6rCKmG1TTcgiL8XtZePOw4cL92EZHS93zGGq6w0ATGfJU+L2a12fYxpE80zgfACec71Cj8bWwycQNLkqawafuqfwpPN1/tmeTPt7vmN3ivUZZPuD3PX5P+w9aD0Mc8v35aQVdGuFsk+GKWRdWXx2/RAA/nNqntF+e8KAkIssdyIaYH2jkRWeFqGq0MZdE/FM/W4dYPm9c5QLEE7sYrll3PhZ8dmT/OO5mmWeiYzfeCvXv/07z8zZwKDH5oau8X+frODadwtHreRfyHOCYcXPrwy2DrUt35M36vYQ4D7X+6F9weQZ16sAXJBzH5l4yVLWiP+twCiG9u1JDi7iJItR97weWrXa0GkZ3FVmGxYGOpX4c/js+iG8dlk/1qg2/Gl2IUZyaJpsVcA8kOnjbMcf9JGNXOD8letf+brAuWNe/J2PFu3go4XWSP8AcQD4/jehQL9QgrIqTMKV+7YQ48mTwekwaNi0daG+a5MqZqVydaBY4y4irUTkFxFZKyKrReQWu72BiMwRkY327/r5zrlLRDaJyHoROa0iFdBUL/xBk//9vb3InCjh+Nd7ixlWxpwn+dmbms2EtxexamcKn7qnsMTzL5pKMtm4SJg6htgYawWnmwD9jA3UkSzqSzonOlbSWvaFrpOW7ee9hQmh/cPTFuRfpDnSsQSAB/2Xh9pSmp3A434r7rqFt6B/f5jxD8cae/gh2J9Fyko05rNHl4eU5VJYa1oViK6Q7/hprTXijBIfSaoOZ/ge4/GVcaX6XFrUs0bcN/luAqDDn5PBDGKa1sNvD9aq2sZyCIBTjCXc4PgSZfv9xzrmA7DcbM8OM57D/8q5VZcoIn1uVXH3NRfzU7BPgTZPVHQVSVPxlGTkHgD+o5TqAhwHTBKRrsBkYK5SqgMw197HPnYR0A0YBbwiUsGJnDXVhmm/beHOz1by6dLSrcr8YfVetpUxW2F+xj3+IadsnsqsLz6iv7GBhpJGO9mVlxLXdmcMNNYRRUGj20ySudbxDT1lM9e+u7hAVMnYV/4ArJDAbH8wNNHYUpI4w2GtzPzuzjNC/d+cOJzXg2fyt9mRGNOKzthoT+bOcD8JwFwzz+DMCg7mL7Mzaa2GAbAwegTbzMZ4xYfXZX2N4hx+su048lI+Q6kb7eKxsT1Ioi4HVCwNJJ2XZ83n0yU78OBnp7LcSG+5nwLgDfcz3OH6mA/cj/GV+14eds0AoMtxo/jeHIBxmHl3Sa5bpvoZ93rRbtaogqP3Cwa1P0Lvmk+xxl0ptVsptdTeTgPWAi2As4F37G7vAOfY22cDM5VSOUqprcAmoGaVMNEcNYv/+Iknna/j2lvyCkRHM5F5JA5k+Ph+1R5GGX9zmXMuF2TNDB07Vnbj8lgTkLH1rFqiVzp/oJ4UjPe+xPEz97g+ZJbnPtpv+1+BY7kPoCtn/E3n+75HKbjMMYcv3PcBoM5+hRb180aDDkNImDoGU1w0D1jpZ1ONvDjsETnP8HFweGj/K/MEpjR8musvvQCAU7tZuVFcBLjr85UcyvQR9GWGKi7V8Zbe/TGwbX1AmOK/AoBP/trI0z9aBbUXm51IVI2oL+nc73w3dE5/YwO97CIkC4NdadppYEiu/DgJEsSotn7sHapgDdn6dUv35lOTKJXPXUTaAH2Av4AmSqndYD0AgNxPrQWQPxlGot0W7noTRWSxiCxOSio6d7WmZnBS9hwucP5Kl32zC7Sv2ZVaINQuJdNPm8mzeezbtQyZ+jPtZCevu54le/mnZbr/VTP+5rr3l4QiTNy+vFzqMZJDVsD6lz+uewce8V8KwABjAwBbzKYA1Je00DmPuN5minMG6zxXMNf9H5pwAKVUKNf6xdP/5CbnF8TbMdPSJC+vSX784sRll77bK3mTrGeedCKHL33/7pahNI6zHkIxbgc+XHhsI3rlc58yxrGIbNt9M65f4YLOxdG+cRxbHjs99BYThQ8HQZxikqXcfBg4CYCrnFYGxd+CPQqc78NJh8ax+HHikQAo6y0GLOMeqMYL31XPS7gq+iWSlWXUHe6iF3/VZEps3EUkFvgMuFUpVVQO03CP7LAvj0qpaUqp/kqp/vHx8eG6aGoYUXZWxPruvDC61Gw/p7/4O//+3/JQ2++bLOM47TdrNDjcWMFpjsWs/3Jqme6/aZ81Cs91Dxzj31Lg+BveK0LbRp9L7QlW+DHYj9v8NwBQhwyylYvHbF/5BOePeMVPO2M3k10f8cFfeatafQGTTNtFss1sDA3ahpUrK2gZvHVmK2bn9AYgSdXltpEFw/BiPQUNY5TbiQ9nKA/KsRlWtM0fZncAhnc6uu+NYYidUwWiyMFrZ5gc0L45qVjzEckqjm7ZbzIzOKLAuT5cNK8Xhc/OVfP3ln3c+KGVW95FEF8VrEotKU9f2Ic3bx/PZP+1/BBzFka7EcWfVEMp0SNWRFxYhv0DpdTndvNeEWmmlNotIs2A3FmoRCD/cKIlsAtNrSDXSEggz9WSO2L/fvUetidnckzDaNbutsYHn7qn0FESmRUcbHU2gyiljroKfe7qSs8RCkJPmnhDaPvuccdzxpIH+I/zEz4PDuWsfm1hFdQRy+0xLXgmK9WxNOUAf5ld+ND9KJ1lO6O/XEUcmTzkepsTjFXESwqfBE6k0fg3ae2tG/a+AXsc9aPZj1/Nnjzlv4B2fU/iXOC9qweyfk8a/ds0oHndgnHr1sjdSRdjOycZS0MLcKYFzuCVS/sytEPRuWGK4vgurWAzPOSaEZpA3ZxissZszUEVy6zgEDKIIpOC4ZZ+sR6IuRkfL58+nywsuZ12+oXqjIgw/bEHqlqMCqck0TICvAmsVUo9m+/QLCB3GHQF8FW+9otExCMibYEOwKLyE1lTXVFKhXKMr92+lzd+34I/aJI/+WDuQpmXf9mMiwD9jQ3UkUx6GFsBaxS5YHPZUwK4CJCq8l65vw0OZGzOgzSsV6dAv1XqWK7038n35kDcHqt/UzkY8mkvNLvxhTmUsSMGsVy1o4uxg4scP/OEaxpjHX8QL5bbx4cLo4gH0rfBQfxlduaXYB/Siebl4Dmcec6FAAztEM81Q4+ld6t6NK5T0LhHuR34lJPGcoi33E9zkrEMgAy8nN6j2VE/BAF+32E9dLsbCaSpKN4MjOatQ31ZIZ3okzONBwPW1ztLFZTJdFifTW5SsNwHekNSuMI5BzMCMyzWREoycj8eGA+sFJHldtvdwFTgYxG5GtgOnA+glFotIh8Da7AibSYppSq3Oq+mSticlBH6ogd9WTwyey0z/97Bu1cNpJsk0M9Yz+dBa+Vi3SgXzwSeCp2bO1nX0dhJMHkxtC9bIic3fvw4CSgDp5j8avbi1isvLfKcvf68h8Hho8+TOjfhlnkXco5jAQ8538Zt+89XmMfSy9hCDi6OULsCgK/NIXztG1KgzeUo3itqiITCIwFOdFix9OWRyXCFrykX+e5lj6pPgmoGwI83nUj7+Fh+XLOXbH+QW/+3nATVhAzlIUasqCLTKJjxcZn3Oqb4LydBWXMWv5h9GFdm6TRlpVjjrpSaz5GTHZ98hHMeBSovmYSmWnDbq58xy15teZJjOccHV7JmX2tE4BHXW/QxNuHHiVLjOIW/OMWxjCzlDvnpc6m/Yy4MKqtxD2CVaXbgxKRBXAzDOh7ZP73svpEo4LWlZ3Kd8+vQQwrg4XMs/3aiimed2YrOhhUvcLPvRi5wWG8iPlxICUesz5zfi7pRJTfOhz9orNWhZR8dTxjSlpd+DnJmr+Z8c26PAv7+Ud0tQ92lWR1Oe/43uuW8zd3OD5jonE3ATnmQkW9EP8X1rrWUH+g7vmzzJpryofpOa2tqHL18S8FlTRTGSwofuB8H4MNV/ehh+8Afd73J5p2308+/BJxwqe9uMvDyg2cyPwd708/YAMGjq2e5ZlcqVzm+o43s4SzHAvarumykBT0kgaZNmxV5bm4umNcCZxBHJovMTvx6+3CmfreOSwYew+pdlvvlJv9NzPFYVXsOEBfyNRc3cr/55A68OHcjp3RpzHn9WpZYp45N4rg/cD4rzHbc7voYgOv8t/LCRb1LfI0jcdvIjtxycgecRbxBdGqaFyr4YfAksnGR2mYs5wLfmQMJ+gyed72CIYo4yWKp9zj6tiv5qllNxaGNu6bcyI3oODnnKf7xTgy1L12/lX75JjgXLfwNjwRIVI1YqqxokbbZ71PH6+YndQ0Ej25J+FcrdnK/673Q/kEVy1W+OzhG9nLToHPCnjP3P8Nw5zNuh4jjnsDVALzQMIZXL7MSjHVtVoezezeHTI/lhASuOLELifOtKJE9qn6Rg+krBrdmccIBHj+3Z6l0ahcfwzp1DOuCx/CL2RsvPt554EbivGV3y4gITkfxbwDDOsbz64YkvrrvCl78eQj/d6plvH+7+3QGPuZhoppNd0lgZnA47U6fWqV5ZTR56NwymnIjN0IlB3cosRTA0o3biSInFEf++7JVRJETCqUDUBi8fnl/AjiRoxy5r92VF6H7W7AH8TfNpXnLY1iqOnJcu/AumXbxsbRqUPwSdKfD4IWL+vDthoxQW+92zXk4MJ7B2S/xtfNUujUPHykD0DDWw4fXHkd8XMkTfUFeDPGgtg1Yo9qwVHUst8pRJeWdqwaSMHUMdaNd3HdG11Du89jDFlClqBhU+KhnTRWgjbum3HDbWRcHtW/KqJypPOc/D4AOkkiU+NiPZfxecb/I6Y5FxEQXNKouh+BXjtDIPScQDC2OKQl/bbQibp/wX8Tl/rtoFt+QL284njUPnVbqYgx3jArvWvDjDMVxS2wTTAx205BVD44qlR+9pDSK9TD98v5MG98/1OYsyv9TieS+8cwKDmaT2ZwlZieCpc2HoKkwtHHXlBvNYh0EcDC8c1N2Eh/KmfK6+3niJYVkVTAMMWi4+f2OEVxzQlvm3zkCQ8SacLVH7sdP/ZnO931fontv3Z8XqZO7OAesxTrR7tK7CW4YfuScIwNyXuW/fWdjxliLshvFlm40XlpGdm1SoOaqUU2Mu9Nh0KtVPaYFz+QU39MsV+3pe0z94k/UVArauGvKjdT0DPy48Lisf6tVqi0Lgl1Dx/9ochnbzTz3SIpPaNUgmnvP6ErL+tFs3Z+BDyfLEvaR6QuwP90y1iXJMJnpCxBtJwDLzmfcy5sVD5zKuBN6cN2YIaFQxp4tj+yOiXSePK/gHEJJXFyaykEbd0258Pqvm3HjJ1s5GdevJRNPPBYQFqnOgJW69pEbJ3Ci7wWetYtGp/oKGu2Dmf5QMqqbPlxGHJlc6PiFn/5YEOrz9A/r+WhR4aLWQVMx1TUdgMzDFt2UJ3WjLL+z02FQP8bNx/8azIsX9yn+xHLg1K5NcDur11e2Xr43itfsyWdN9UBPa2vKhae/W8V6z08kUweP08Hdp3fh3L4t+OilHwBrRWUuGfZy9sMzCjav6yWAg1Mcy5i0LpHLHL9wn+sDElZsgqFW5aT//rIJgIsHHlPg3Ktm/M179hL6K6/8F0+1DZurrtwZ2LZBpdwHYNrl/YvvVMk0qePl19uH06JeVJEhlZrKRxv3Wsr+9Bz2pmYXGeFRGnrJJgxRZJhech0vnZvWYUvjkbyYlMK8YG8+B/oeU4/FOzqx1mzFdwyhb75rDGnfiBV2lM1dzg+Z4PwRALedBCwnkDe5mprtJ87jDC2/b1E/mqi9OXwZHEL76LpHHVGSMHXMUZ1Xm2ndMKaqRdCEQT9qaymjX/idMS/OL7fr5a4yjb/8rQLtb984hmcDFxDbwRp5f37D8axQ7Rnte4Ib7nymQN9Yj5Nb/ZMAQoYdANMy6mf/949QU88pP9L2rm9D/vjTujUhRrIr1CWj0dQktHGvpSSl5RTfqRTkLmCKPqxsmdNhsGDySUwbX9gfm7sqNBeHIbQ7Ji+h6AuBc1lkdkJMP2t2pdJs32/84bmJx53TQ30OZVn3/fCH34mXFDLwFqidqdHUVrRxr+UEgmbxnUqA2/afi7NwWGDzelGhEnEAi+89hfl3hs+jPXF4h1Ac+bfBgQSUA1SAK178mrfdT9FCkjnXkffG4bflv8ExC4Chxw2mbSPtJtBotHGvhfy4ek9o+++Eg+VyzW6NbXeIo/iY70axHlrWDx8yN7xTPKf6nuTcnCm8ett4AjgwAwG+8twLQJKqg0f8fOm+l5/dt3H5428D4BUfSaounc+4uVz00WhqOtq410ImvreEpiSz1DMR70djQ+2rdqbwzoKEo7qmYdpuHmfZYsxdDoODXitlgNtpEMQgGPDRkFRSVDS3+G8EoLexhWONPQww1qOUwk2AVKVjrDWaXLRxr6Wc4FhFA0mnT2AFmJZr44yX5vPArNWkZJYut4tSCr8v29opwci9OBz2Cky30yCAkxyfDwcm7wZPZYHZnb/NvNJ0j7jexpd5CCdBfDr4S6MJoY17LcSDj6ddr4f29372f6H2O50f8elbTxZ7jUVbD7Bqp5UG9+5Pl3FL9mvWgTA+99Ly4FndaF7XS8MYDwEMjEA2TjFD9U6zVcG3g6zdG3ARwO3RkTIaTS4lraH6FnAGsE8p1d1umwJcCyTZ3e5WSn1rH7sLuBoIAjcrpX4oZ7k1ZaA+aQD8aXbhOGMtsnMxAN0kgeudX8P+r4F7irzGBa8vBGC4sZzzHfPAASneFtQ9Qg3R0nBmr+ac2as5YBWqiLYrAOXg4pPrBnPoTcu4J6pGtJT9BHKycBEgyquNu0aTS0lH7jOAcKVxnlNK9bZ/cg17V+AioJt9zisiUr0r5tYy6oqVtvbdwEh+CPbH4c+kzeTZocVCAL7AkaNo/tqSV+N0svMjxjisErm7ul8PZajpGY4ADmKwXD4+XHRuGhcqMZdm+9gdZg5uCaCMisspo9HUNEpk3JVSvwEHSnjNs4GZSqkcpdRWYBMw8Cjl05Qz8zfu5yXXSwAcIpYMvGSmHaKHbOEsIy+Hy92fLT/iNS6c9if9ZD1/eiaFSs4BON3lP3IO4iCGLABO6NyCOK+LHDsxmCvGykCYk5ONiwDKUf4pdzWamkpZfe43isg/IvKWiOTm+mwB7MjXJ9FuK4SITBSRxSKyOCkpKVwXTTny15ZkLnvzT1rLPlJVNEvMjmQoL62MJL723Mslzp9Dfb9btoVX521m0740Pl+aWOhavY1NNJWCYZSH/OWfitavHDjEWoXao00TANaYrQHYHWtlnHz1p9VWnhpt3DWaEGUx7q8C7YDewG4gdy15uG942JytSqlpSqn+Sqn+8fFHLl6sKRtKKUxTceG0P3nY+TYe8fN84DxycPOn2TXsOf9xfsIT36/jlGd/47aPVxQqwpDr2smP01X+I/ffzR6sMtvwfuBk6HgaALfd/wKfnLGKQ10uAaB7+kJ6Gls5kFU+C7I0mkjgqI27UmqvUiqolDKB6eS5XhKBVvm6tgR2Hb2ImrJy4lO/0GOKNafd2bDS5X4ZPJ43r+jPbPO4UPm7/HQzEgrsd7jn29C2gck4x2+FzmnbpPwzJH5rHscZvsdIH/kUTZtYRa5jPE7O79+KHamWMT/facmS0/vKcr+/RlNTOerAYBFpppTabe+OBVbZ27OAD0XkWaA50AFYVCYpNUfN9qRU3km/Ho/4OYlnqEcGs4MDGdyzEyd3sdwcAQrOdyeYTUJVjXLJHbgHTcUAWU9zsaZgZgRODSX5qlcnttzl/+amE2gQ46Z5vahCxxYf8HJIxVDPfosYMGJsoT4aTW2lRCN3EfkIWAh0EpFEEbkaeFJEVorIP8AI4N8ASqnVwMfAGuB7YJJSquSFMDXlSuK+/Rxr7KGFJHON41s6GDtJUbE8dFa3UJ/lZsGSculE0VKSON5YSRMO8KX7Xh6zk3Vd8vofvOx+AYDhOc8wJTAh78RyWMB0ON1b1A1r2AGuOKEdLwXyGXSHXsSk0eRSom+DUuriMM1vFtH/UeDRoxVKU36YgbwR+ABjPQDvmKO5xK77+dn1gznvVcXrwTOY67kdsEIMuxsJfOB+nA8DJ9Hb2EJvYwtP/7Cejdt20MibygEVy4jBg9iX5ue1tWfSWbYzPD58UemKYljHeH6swJJ6Gk1NRg91IpyAPy+1bwNJJVE1ItAwb/m+VexCSFF5LpU08kbK8ZIS2n7jl9XUt1P7/tXuFh44qwcA3618iiFdmkAVlIA7fLWqRqOx0OkHIpygP2/k3kDSyFBeXh+fV67NsBcdZZLnUjmUz9DHSWZo+yXXf/HaRTniYvLS6o7u0azKantWZDFsjaYmo0fuEU5+t0xL2U9SvR7EN84z3naOLo5pGs+EfbcjwB7VgAAOLnH+TBx5xr2hpOCxR+4Od3g/eGWTjY5t12jCoY17hBMMFIx6CUQ1KrCfW/9y/ODWjO0zGYCxLy/g7r2tOc/xe8i4bzabEUsWHjuKpmvrJhUteonYqaz1ESvMdvSqYlk0muqENu4RjsrnlklSdYif8EGB43WjXGx9/PRQoWmA964eyMDH5pKNizixlv4fJI7+xgaudc62zost/7DHo2F/TAe6p79BNm42VbUwGk01QvvcI5yDaVYM+JW+2xmQ8ypOb+ESdHJYsq/Gdbz8fscI/DipL+kA7FP1ADjD8ZfVyVU93DJf33Q86UQT0OMUjaYA+hsRwaxMTGHd0nngwi5kUfLcLy3rR/FycAQ3Or8C4GC/W7l50R80klS8+LijeZ+KEbqUNKsbxc0nd6B3q7KnGtZoIglt3COYW2Yu4xPn5wAk2SPvkiIiOPpdASss437mCf2458+843dUoyRdt43sWHwnjaaWod0yEcyW/Rl48DMrOBhfg05cNKBV8Sfl4/MNeeX2YurkjYxvOblDucmo0WgqBj1yj1Bm/vYPo42/iJVstqpmzLt9RKmvsfFgkJ5MZ0zPZjzujqJ/6/os3naQPSnZFSCxRqMpT/TIPULZ++OzvGrngBnd/+jdFqnEkJhlLRQ6o6eVlfG07tUjDFKj0RwZPXKPUOLs6kWrzDY06jSsTNfq06oeAFcMaUO3FnUZ0Kb8U/tqNJryRY/cIxQnQQ6oWM7wPUbTLkOO6hqxHuvZ36qBVatURLRh12hqCNq4VwN+3ZDEN/8UXc8k0xcgNdtfZJ/8OAkQwMkY25VyNFxoT8BWVd4YjUZz9Gi3TDXgiresWiZn9Gx+xD5Dn/iF5AwfCVPHALAvNZt5G5K4oH8rzn3lD1o1iOaFi/Jiz10E8eM4QoHDknH7aZ1oUsdTpFwajaZ6oo17NSIjJ8DXK3Zx4YBWhVaN+jIO8a7rBX557hOu3Ht+qP2kzo1Zuv0QS7cfKmDcnRIkoApWWCotXpeDiSe2K9M1NBpN1VDSSkxvicg+EVmVr62BiMwRkY327/r5jt0lIptEZL2InFYRgkciF0//k8mfr2TB5uRCx7rKNk50rGREyhcF2k0VfmjuIkgABw+cGb4AtkajiWxK6kydAYw6rG0yMFcp1QGYa+8jIl2Bi4Bu9jmviEjZhpC1gDqkszrRqkt6KNPyrb84dyN/bUlm5l/beMD1bqivYIa2DQmfUsBJEGW4aFzHW4FSazSa6kpJy+z9JiJtDms+Gxhub78DzAPutNtnKqVygK0isgkYiFWDVROG44w1zHQ/Qoby8GnwRFxp8SjVlGfnbADASw7rvNtC/aPwkYlltIOm4gRjJTc7P8e/RuHqegZgTaj6lJ4I1WhqK2X59jdRSu0GsH83tttbADvy9Uu02wohIhNFZLGILE5KSiqDKDUX01S0YD8AMZLDFc45dNjyDr5g7uhc0cgudbfZtCJfnnG9Sg/ZAsDaHUk86nyTgcZ6EuZ/HLquiyC+MvrcNRpNzaUiJlTD+QnCOoaVUtOAaQD9+/cvQ1xHzeWhb9bgloIhjm03v8/82X141zWDEx0rQ+27VQPasZvRjr8Z7fibZBXHV1+PZbixD4CNO3bTAdiwZQvDHP+wydujMlXRaDTViLKM3PeKSDMA+/c+uz0RyJ+hqiVQdBB3LWbGggTcBAq119v6TQHDDvC1OYRrfbeRrayMjA0ljeYZawFIVnHE2qtSX3/jdQC2BAtWXdJoNLWHshj3WcAV9vYVwFf52i8SEY+ItAU6AIvKcJ+Ix03eyH27aZWNy0kt7Ka64PguzDH7s1q1CbXVlzQAdqmG1sNg9wpcYj0sngteVIFSazSa6kxJQyE/wpoQ7SQiiSJyNTAVGCkiG4GR9j5KqdXAx8Aa4HtgklIqWBHC13SWbDvIeMeP3Or8LNR2CKt8XXQwrVB/l8dKA5Ci8qopNXZYlZJmBe0UA9sW0L6hNdk6cYTOc67R1FZKGi1z8REOnXyE/o8Cjx6tULWFnUkHeNg1o0DbIWUZ97pYxn2/qkMjSQUg4IoD4P7AlfxqLuVB1zu0VYkA/C84nHtcH4IZINZK4sjYfm0qXgmNRlMt0StUK5A2k61i0vPvHEHL+tGFjjd1Fc6Lvks1BKC5WDHv/XNepb3s5BjZx2WN+pIwtTkv/7KJPze2g13vhM4b06ctrAXMAOmZlu8dQ0fLaDS1FR0IXQmMev73Qm1KKT7633sF2s7KeZgHA5cf1lPYpFrys9kXMaxn8aQR7Xn6ogE87s97oWpUx3p4qGCApJRMq9GoPqXwNBpN5aKNeyWQnlM4Gmb7gUz+7fwUgPv9V3BDvdf4R7UjCy+n5zwGWBEwufRqWZeBbfPS7Tap4+U7cyAAe1R9oryWLyYQ8OPAnuIw9IuZRlNb0d/+KuJ/f+/gUjGZE+zL8ZfczUmdG9Pg69Vk5gT5fBmcmPMc6SoKgJM7N+bNCQMKXWO7akL/7FfJws2dXjdBJfj9ftrUd0M62rhrNLWYWvftz/YH8TiNQlkXKwIDk4HGOraaTQsd8wVM3ARIUvXIPJCJy2HwyDk9CJqKz5ftZLvKK2V3WvfC5+eyH6tw9e6UbAI4eGf+Rvw4CDoEh6FfzDSa2kqt+vYfyPDR+b7veWXe5kq53ynGEma6H+EN99OFjqVlB3DjJwcXDWLcoXaHUfChs+KBUzm/X8uw17//DCvj41m9mtMo1kMQBw7MUEZIjUZTe6lVI/fdKVYUyTM/rGVI2zr0adO4mDOOnnV7UjnNsRiApnbkS36SM3y4CeDDSccmcYWO51I36siToled0JYJQ9pgGMKcNXsxESY6rQidgE4aptHUamqVBdif7uMix8+s81xB+7d7QmZho1teXP3855znsKJkjMNS6/gCJj+t3YPHHrn7g2aB43eO6gzABf3Dj9jzY9gjfadDiCYn1O4U80inaDSaWkCtMu5p2X4ud8zBLUHiJAvS91bYvRrYaQEylIeGksa+Oc8BVhbIjvd+h5Mghih8ykXX5nUKnHv98HYkTB3Dk+N6lfh+q3emYEjeQyRd6TzuGk1tplYZ96CpcBDMc1kES15wurR48QHwaOAyADYs/RWA7376kYWeG9nkteLZrxjWFY+z7P7xbcmZoe3XA2M4dPkvZb6mRqOpudQq457pC+IkSDb2BGY5GPdDmT7+3FK4LJ7HTuN7weiRrDdb0iLWcp9k7FhBM9sHvzDYlaS255RZBoAuzfJG/wvNbrRsp8vraTS1mVo1odqteR2cBMnCTSzZYJbduI95cT47D2Wx8dHRuBx5z8oYwxq5N6xXhwO42bUnmbaAM2j5xQdkv0wS9XmfOuEuW2p6tarHa4Ez6GdsYLXZulyuqdFoai61yri7nQYOMclWHhDw+3yUZYH+6l0p7DxkReC8u3AbV5/QNnSsZxMvJAOuKHJw4cGPP2iSkWH54nPst4fWDQvnnDkamtX1MjVwSblcS6PR1HxqlVvGNCnglknPzCzmjKJZnHAwtP3wN2tC2wczfFy235pAPeR3kK3ceMVHh3u+Y/d+65wsPCy652RaNSgf4968XhRL7xvJdcPacftpncrlmhqNpuZSq0buplIhtwzAwbQM6h/W59I3/qRjkzgeOLNbsdczjPCrXLcmpdJXMgmKi8Yt27MHFycaK2lGMp0Nq7zs2H6taRxXvhEtDWLcTB7duVyvqdFoaia1auSulDVyN51Wzpa6nsLG+Y9Nybz9RwLZ/iBKFYxPf+P3LbSZPBvTtNqDQRMDE68dX56b4jd3onZbz5tR4mCNXTlpovMbznIsBODJ83uXt3oajUYToszGXUQSRGSliCwXkcV2WwMRmSMiG+3fhw+Qq4Tckbvbrmj0xeKtR+zb+b7veXN+weNP/rAegNW7Utm0L53U7ADTXc+wznslX7jvDxn5lHTL3eMzHfgCJi8HzgbgWK/lb3/Cr8vfaTSaiqW8Ru4jlFK9lVL97f3JwFylVAdgrr1f5QRt434wYE2jjt/9OI99u/aI/b9anlfX+7O/E2gc3AMozvzvfE559leenbOBdmL16WNs4izHAgDeW2Dlrlm2M50otwO/necl1rBG9GtV/vrhGo1GU/5UlFvmbCC3TNA7wDkVdJ9S8fi3a3FgkhrThlQVjUf8nPHnxfwy8/mw/VfuTGH5jkMApH11O/M9tzLZOZNWkrey1S1+FgatmPInXdPx//0Ol/a3sjge16Ep8XEeXri4H0EluEyr8lKgdk11aDSaKqA8jLsCfhSRJSIy0W5ropTaDWD/DpuhS0QmishiEVmclJRUDqIUzaaEbbgkSFbQ4MuosQD0NLbiXz0rTG/FT+7/o8UbPSA7lcZyCIDrnF/zu+ffzPfczGTnRzSXA2xULbja9x8Asv94BZed18Xt9gDQuWkcAZy4beP+wiX9C99Oo9FoypHyGEIer5TaJSKNgTkisq6kJyqlpgHTAPr376+K6V4mHvx6Nfe63gcgqm48aQfywhhdBMj0BYh2O+kv67jd9TEbzJa0NyyXSyB1Ly67utFGswUdjJ20lP1c5/wagBxczDX78WVwCL0ObEYFrAVM4rDcP05D8OHEoyzj3rBObEWqqtFoNGUfuSuldtm/9wFfAAOBvSLSDMD+va+s9ykruxd+zHmO+Ww2m5HZ+ypMyVu+5MXPW/O38uisf3jM9SaDjHWMd/4UOp6Vk4OTAMvNYxnpe4q7/VcXuHavtpYbJlN5iZEcTDtaxggZd4MADpxBuyC2Q9c21Wg0FUuZjLuIxIhIXO42cCqwCpgFXGF3uwL4qiz3KQ/ay04AbvFPYminJqh8JeiiJIegCRv//JqOxs5C585evh0XgZCvfJsq6GXq0qoxWx8/nQy81CONx79ZaR1wWkbc4RACOPCKnZJXF67WaDQVTFlH7k2A+SKyAlgEzFZKfQ9MBUaKyEZgpL1fpbjEKlK9SrWlcZwXU/KMewdJxMDkpGMLuksOqRgAPliwGZfkVTf6w+zOsJxnudt/NYvMTsR2ORkRIU1F45Yg/3W9CEDQfhjsS83Gj4MoO1OkHrlrNJqKpkw+d6XUFqBQ0nGlVDJwclmuXd64CJKjnPxnpLU0XznyVI+RHHru/oTdhmXMU1Q0dSWTTDzUIwMXAVwESFdRHN++IX9sSmabasq2YFM+k5GsbzUQgI+CI7jN9Wlo9J/pssL7DRECykG0HrlrNJpKotasUG0UJSjDxU0ndwBg3d7sAsdd2fvBtEb3WVhRLpl2wQsHJk67Lmm7+FhGdIoPnTe2T4vQdhL1WW4eC8AfwW407joMgPaNY8nBnVdMw6FDITUaTcVSa4y7Q/kLuGL8+QpIZygP8V4T07QiYjKVZdyzxUpT0EL2E0sW8fViuWdMF6ZdnhfK+Mg53QvcJ0PZqQ3a9qVutDVCj/E4eSgwnl+CvVjsGQRxzStAQ41Go8mj1gwhDTNAMJ87JJDPuOfgQgI5yGEj93TlBoHn3a8AsKtO70JVk5yOgs/HHDuJcKZRMNvj72ZPfjd78t8xfcDpLietNBqNJjy1ZuRuBnwFVob67e0M5SEbNxLIDrllclMCZxxWh9QnniLvMfHEY/nWHMRy81g2xIRfqBTtLntJPY1GoymOWmPcDeUn1Ze3f/KosUwPnM5t/uvJUS427tqPClrGfYPZEoBNKs998qT/ApL6/Tu0/9S4nvxv4nEF7jFpeHs+DQ7jHN8j7KkTvrh1ls8sL5U0Go3miNQK456SkcVQY2WBEMSLTuzJOXfO4PF77iEbD6PUfIYmzQRgauBiRnhm8lnwxFD/N4Jj6N+7d2j//P6tGHRswwL3yfWxAygKLri96nirSlPTuuWbw12j0WjCEfHGfdXOFJ6bNo1GkkrwMHXj4zw0iHHzSuAsAFoZVn6bOf85iVn/PoUUO84dwIcLkfDFOfLzf6d2BKzc8fm56/TOvH/1IPq1rhbZjzUaTYQT8ROqZ7w0nwsdO8AF8VfNDNvna3MIXr+Pp1zTAGhcNwbcLvbSgJE5T4YqN5WE3AfA4YlyXA6DEzo0OiodNBqNprTU+JG7UorHv13Lml2pYY978PGEazoAcU3bh+3TtI6X3Sqfi8VOTRDtdrBRtSRRhU1qWYxcpT5Fo9Foyo0ab9yz/Sav/7aF01/8vdCxxIOZHCNWzrI1Zmtwhfd3j+vXkiyVb3RuG/cvbjieO0d1ZsX9p/LPlFNLJM/x7a3R+bCO8cX01Gg0moqjxhv3WW89ygLPjUxwfF/o2AlP/EIcVsm7JwJHLm1328iOodh2AAzrY+nUNI7rh7ejbrSLOt6SpQzo3aoeWx8/ncHtGhbfWaPRaCqIGm/cv9vuoLkcYIixukD7jgOWUW8rewBIs1eOhsMwhCRVt9xkKsnEq0aj0VQkNX5CdZ7Zm+VmOzz4C7Sv3JkCKJ5xvwZAEkUb7yTqMzTnOWJi4ij8DqDRaDQ1ixo/cgdryb+bAGt3p3Ljh0sJBE3mb9rPdQ6rUtJXwSFccfrwYq+zQzXho3+fXcHSajQaTcVT40fuADnKRaxkccvMZWzYm864fi358K/tfOf+A4CfGl/JC/YioiOx4v5TOZjpo36Mzvui0WhqPpFh3HHRkFT2pFhpfCe8/TcAcZLFp8ETeemmC4q9Rt1oV4EVphqNRlOTqTC3jIiMEpH1IrJJRCZX1H3AMu4e/KRn+3jQ+Tb/dn4CQCxZNGusQxI1Gk3to0JG7iLiAF7GKrGXCPwtIrOUUmvK8z7KXimUjYf2xi5ucHzFFc45AOxUjagnGRzTrPQLkDQajaamU1Ej94HAJqXUFqWUD5gJlPtMZcC0jPu0wBgAjjPynh1P2qtSWw0u3iWj0Wg0kUZFGfcWwI58+4l2WwFEZKKILBaRxUlJSaW+icthkDB1DI9MvIBNZnNOcBSMdV9ttoYWfUt9XY1Go6npVJRxD7eKp1C2FaXUNKVUf6VU//j4o/eNm0rxk5lnxPcoK/NiJkUX19BoNJpIpaKMeyLQKt9+S2BXBd2LAxk+3guMDO0fVLEAZClt3DUaTe2kooz730AHEWkrIm7gImBWBd0LQ/JK4wEcUnEANG+kc6drNJraSYUYd6VUALgR+AFYC3yslFpd9FlHz4jOjUOFqQEWqU4kqTpsjeldUbfUaDSaak2FLWJSSn0LfFtR18+Px+ng/8b0grnW/k/BfjwXOJ/1E0ZVxu01Go2m2hERuWUAElMCoW2//czyOB1VJY5Go9FUKRGRfgDghzV7OMdsQyvZx8vXjUFFaX+7RqOpvUSMcc/2m5zhewyAhNbHVLE0Go1GU7VEjFvGFzCrWgSNRqOpNmjjrtFoNBFIxBj3J8b1BODJ83pWsSQajUZT9USMz/2sXs05q1fzqhZDo9FoqgURM3LXaDQaTR7auGs0Gk0Eoo27RqPRRCDauGs0Gk0Eoo27RqPRRCDauGs0Gk0Eoo27RqPRRCCiVKHqd1WCiCQB247i1EbA/nIWpyqIFD1A61KdiRR9IkUPKJsurZVSYWuUVhvjfrSIyGKlVP+qlqOsRIoeoHWpzkSKPpGiB1ScLtoto9FoNBGINu4ajUYTgUSCcZ9W1QKUE5GiB2hdqjORok+k6AEVpEuN97lrNBqNpjCRMHLXaDQazWFo467RaDQRiDbuGk0EISJS1TJoqgc1wrhHyj+siDTIt12jdRKR4SISdvFETUJE/iMip9rbNfpvYhOXu1HT9anp8uenKnSp1sZdRM4WkXeAXlUtS1kQkVEi8hvwvIg8A6Bq6Ex2Pl0uBXKqWp6jRUROFZEfgDuBy6Hm/k0ARGSkiMwHnhaRO6Dm6hMp33uoWl2qXZk9ERGllBKREcDDgB8YLCLblFIHq1i8EmM/qQ3gauAq4HFgGfCuiIxWSn1XlfKVBlsXAS4EXgeuVkp9UrVSlR5bDxdwPzAM62/iBgaIiAsI1ESDKCItgSnAVGAeMFNEGiql7sz9PlWlfKWhpn/vofrYsGo1cj/sH3ErcBpwOzAIqDGVr3P1UEoFgfnACUqpr4BsYB+wWkSM3L5VKGqx5NPFBHYB7wKb7GPni0hL2zBWa13y6eEDvlJKDVVKfQscBC5SSvlrmBHM/1l3BlYqpb5WSqUBLwP/FpEOtpGptn+XMGwFTqUGfu+hetmwamPcReRG4HMR+beINFVKJSildiulfgb2AsNEpEUVi1ksh+nRTCm1RikVEJG+wJdAGyxXwLO5p1SNpMWTT5fbRKQR1oPqH+BVEVkHXAC8BLySe0rVSFo0Yf4mf9vtLqXUr8AWERldtVKWnMP0qQNsAE4QkcF2l8bAauDeqpKxpIjIDSJynr0twA6l1J6a9r2HamjDlFJV/gOMBf4GRgBvA/8Feuc73hN4Hzj3sPOkqmUvqR5AW+AYezsGOAT0r2qZS6HLy0AnoDmWO6OP3a8BkAT0q2qZS/E36ZX7/2PL/wZwalXLepT6vAo0wXL/zQD+AD60/99WAG2qWuYj6BEHvAbsAdIBp91u5H6va8r3voj/s975jle6LtVl5D4IeFUp9QuW73ArcHPuQaXUP1gfXHcROUlE7rTbq9trdDg9bgFQSm1VSm23tzOAj4E6VSRnSThclwTgdqXULuBBpdQyAKXUAaw3ktiqEbNYivqbKFv+KKwvJbnusmpMOH0eVEq9CVwL/FspdQmwHVgEpFaVoEWhLPfRr0qppsA3WIMHsIydsvvUlO89VEMbVqn/yIf7/vLtbwEuAVBKbQNmAzEicla+7h8B1wD/w8p/XGU+3lLqEX2YHojIvUA3YE3FS1s0pdDlayBORM5SSmXn638fli7rKkfi8JTxf+t9YKCIeJU1t1DllEKfWUB9ERmrrHmDRXa/h7HeENMqSeQjUoQus+zftwIX23MEQRFx5utTbb734ajONqyyRymu/Dv5nlqfApkicra9vxtr1r+rWMQCLwArgZ5KqdsPO7+yKbUeACIyWqxwtY7AOKXUnsoRt0iOVpehIvILli7nKaX2Vo64R+So/rfstihgJhCsBDlLSmn16QQgIh1E5CugO9Yo3l854hZJWF2UUhkiYtjfg1ew3GMopQJKKSUiMcCLVJ/vPQAi4sjdrs42rFKMu4gMFpFPgKdEpGvuhyMiuaGYB4EvgOvt2eYUrNd8r618NnCLUmqMUmp3ZcgcjjLoEWUfXwtcp5S6vCr1gHLRJQGYpJQaX0P/Jp58X6yvlFLTq4MhLMt3xT6+B+vvclZVP3CL0MVxuPtLKTUZaGuf00REBtjuy5ur+nsPIV0esmUN5mvPHSBUOxtW4cZdRBpjTS58CyRj+TuvAusJbXeLAn7AetpNE5HmQB+s+NDcJ/m+ipa1KMqoh8/ul6CUWlXJoheinHTZoZSqUrdSGfXIPV7gy1qVlNN3JU0plVjJoheiGF2CSinTHs3WzXfaE1gTwr8D0XbfKv3eA4jIFcA7wL0icoHd5oQCI+/qZ8NUxc8ijwQ+srdjsOI+vwE6222P2B9KH6zIhUewXmdeARwVLV9t0yOSdIkUPSJRnxLo8jDwPTDU3h+NNW/zNOCqavkP0+UUoCVW/P32fO0O+/eU6vh3qYgP4hzgbmCMvR8PbATa2fsNgAewntLRWGFb7Q67RnQ1+INGhB6RpEuk6BGJ+pRVF6y5nFZVrcdhupxh7zuwHzhYaz0ezte3cXX9u5TnBxKPFRL3G3Ad1krMcfaxqcDz9rYBnABMBxrkO9+o6g8jkvSIJF0iRY9I1KccdKk2bxxH0GWsfcxt/+4GpABNwpxfbf4uSpWvcT8OKw46d388sMDe7oX1CnaKvd8FKwwqprp9KJGiRyTpEil6RKI+tUUXez/XDfMG8La9Pbqq5T7ST5kSh4nI5eQtlliCFbifGyq0BmsJNFjhPzOxsiKeA5yMtTrQBaCqOLY4UvSAyNElUvTIJZL0qWW6rLT3BVAASqlrRMS0dXpCRH6oDrocTqmNu61kUyw/kwlsxloZd4tSaq+IOJS1EKEL9ky4rfgMewZ9Mlaio2uVUofKR43SEyl6QOToEil65BJJ+tRiXepDKCpGiUhr4DmsiJ5JqhpEvx2RUr625L6WdATet7edWMmjPj+sz7vABfZ203zXcFf160qk6BFJukSKHpGoj9bF8sfbv+sBA6taj5L8lGjkbsd0PgQ4RORbrJwoQbDiN0XkZmCXiAxTVpY9sJIBbbUD/88VkVFKqURlpVytEiJFD4gcXSJFj1wiSR+tSyFdTldWfqhFYW5R7Sh2EZOIDMPyRdXHyuOdm3x+hIgMhNAry0NY8Z65/qqrsJbk1gFGqCpeWBEpekDk6BIpeuQSSfpoXcLqsr3ShS8LJXiNGQqMz7f/CnA9MAFYYrcZWD6sj4HWQDvgeaBvVb+aRJoekaRLpOgRifpoXaqnLqXSuwQfTDTgIc8PdSnwuL29HLjJ3u4PzKxqhSJdj0jSJVL0iER9tC41/6dYt4xSKlMplaPy8m+MxCrOAHAl0EVEvsFKZ7kEqldKzlwiRQ+IHF0iRY9cIkkfrUv11KU0lDgU0vZBKayqL7l5mNOwlul2B7YqpXZC1afkLIpI0QMiR5dI0SOXSNJH61JzKU1WSBNr8cF+oKf9pLsPMJVS83M/lBpApOgBkaNLpOiRSyTpo3WpqZTSd3Uc1gc0H7i6qn1KR/sTKXpEki6Rokck6qN1qZk/uYVoS4SItMTKt/CsUirn6B4nVU+k6AGRo0uk6JFLJOmjdamZlMq4azQajaZmUN0rvWs0Go3mKNDGXaPRaCIQbdw1Go0mAtHGXaPRaCIQbdw1Go0mAtHGXaPRaCIQbdw1Go0mAvl/7N0y32rHYhkAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import datetime\n", "bar = datetime.timedelta(minutes = 5)\n", "all_bars = [t for t in drange(2020, 2021, bar)]\n", "ts = pd.Series(np.random.normal(0.01/24, 1, len(all_bars)), all_bars)\n", "price = cumsum(ts); price.name = 'intraday'\n", "\n", "bars = np.array([t for t in drange(2020, 2021, bar) if t.hour>=8 and t.hour<=17]) ## trading hours\n", "irregular = bars[np.random.normal(0,1,len(bars))>0] \n", "\n", "ts = pd.Series(np.random.normal(0.01/24, 1, len(bars)), bars)\n", "price = cumsum(ts); price.name = 'intraday'\n", "price = price[irregular] ## remove half the bars randomly\n", "\n", "days = drange(2020,2021,1)\n", "\n", "daily = price.reindex(days, method = 'ffill'); daily.name = 'daily'\n", "pd.concat([price, daily], axis = 1).ffill().plot()" ] }, { "cell_type": "markdown", "id": "intensive-sapphire", "metadata": {}, "source": [ "* By setting clock to **d**aily we tell ewma that all the hourly data in the same day are 'on same clock'. And it will use historic end-of-day prices while updating today the last point until the cloc moves to tomorrow's reading\n", "* If we set the clock to **f**raction, it will update continuously throuout the day" ] }, { "cell_type": "code", "execution_count": 5, "id": "apart-yellow", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "smooth_intra = ewma(price, 20, 'f'); smooth_intra.name = 'smooth_intraday' ## roughly matching using irregular bars\n", "smooth_intra_using_d = ewma(price, 20, time = 'd'); smooth_intra_using_d.name = 'smooth_intraday_using_daily_clock'\n", "smooth_daily = ewma(daily, 20); smooth_daily.name = 'smooth_daily'\n", "pd.concat([smooth_daily, smooth_intra_using_d, smooth_intra], axis = 1).ffill()[dt(2020,12,15):].plot()" ] }, { "cell_type": "markdown", "id": "reasonable-museum", "metadata": {}, "source": [ "* smooth_daily is calculated on daily basis and is constant within the day and experiences jumps on EOD\n", "* time = 'd' option front-runs daily, but at the price of being more volatile intra-day. On end-of-day the two version aggree\n", "* time = 'f' is a smoother version of daily. It is leading, but not by much" ] }, { "cell_type": "code", "execution_count": 7, "id": "younger-charge", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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smooth_intraday_using_daily_clocksmooth_daily
2020-01-01NaNNaN
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.........
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367 rows × 2 columns

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" ], "text/plain": [ " smooth_intraday_using_daily_clock smooth_daily\n", "2020-01-01 NaN NaN\n", "2020-01-02 16.752182 16.752182\n", "2020-01-03 9.725194 9.725194\n", "2020-01-04 5.864732 5.864732\n", "2020-01-05 0.578778 0.578778\n", "... ... ...\n", "2020-12-28 280.375383 280.375383\n", "2020-12-29 282.254090 282.254090\n", "2020-12-30 283.934041 283.934041\n", "2020-12-31 285.343263 285.343263\n", "2021-01-01 286.681044 286.681044\n", "\n", "[367 rows x 2 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.concat([smooth_intra_using_d.reindex(days, method = 'ffill'), smooth_daily], axis = 1)\n", "## on end-of-day we have an exact match between time = 'd' and daily smooth" ] }, { "cell_type": "markdown", "id": "indirect-condition", "metadata": {}, "source": [ "## What are valid time parameters?\n" ] }, { "cell_type": "markdown", "id": "angry-times", "metadata": {}, "source": [ "* None: If None is provided, any (non-nan) observation is considered to be a clock ticking \n", "* i: index of timeseries. The clock ticks also for nan observations. This is the default for pandas\n", "* f: fraction of day\n", "* b/d/w/m/q/y: business day/daily/weekly/monthly/quarterly or yearly\n", "* Calendar: the business day as defined by the calendar provided \n", "* For full control, you can provide a timeseries of non-decreasing times matching the original array" ] }, { "cell_type": "code", "execution_count": null, "id": "advance-sleeve", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 5 }