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@sin32775
Created July 20, 2021 01:54
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 3Dサーフェスで見える世界\n",
"\n",
"## 3次元空間で違う景色を見る?  \n",
"前回までの分析の基本は、1単位時間当たりの価格の動きの特性の把握であった。ここでは1単位時間だけではなく、複数の累積時間当たりの価格の動きの特性を調べてみました。\n",
"\n",
"## ヒストグラムの利用  \n",
"ヒストグラムは頻度図ともいわれ、例えばx軸に変化率、収益率を取り、y軸にその頻度を取った図である。変化率の分布は、一般に中央が1つ飛び出た単峰の釣り鐘型の形状をしている。 \n",
"\n",
"価格の変化率は1日間隔の変化率Pt/Pt-1-1を中心に分析してきたが、本章では変化率Pt/Pt-j-1のjの値をいろいろと変化させてその特徴を見てみよう。 最初にj = 1の場合とj = 250の場合について調べてみました。\n",
"\n",
"## 1日間隔の変化率  \n",
"日経平均株価の1日間隔の変化率Pt/Pt-1-1を1949年から直近までの16676個のデータを用いてヒストグラムを描いてみよう"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac44c47908>"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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lyfcB53ZNL68qnxgpSZK0zEaZcQM4jsHrq44Fzkxy6JVWkiRJWiajPID3d4CfA+4B/qlr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\nEQY3SZKkRvx/EbWH43BdTIwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac461a6358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import pandas as pd\n",
"import pandas_datareader.data as web\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"n225 = web.DataReader(\"NIKKEI225\", 'fred',\"1949/5/16\").dropna()\n",
"rn225=n225.pct_change().dropna()\n",
"plt.figure(figsize=(10,6))\n",
"ax=plt.subplot(1,1,1)\n",
"rn225.hist(bins=100,color='lightgray',ax=ax)\n",
"plt.xlabel('$P_{t}/P_{t-1}-1$')\n",
"plt.ylabel('frequency')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### プログラムコードの解説\n",
"\n",
"rn225.hist(bins=100,color='skyblue',ax=ax)\n",
"\n",
"bins=100はx軸の箱の数を100個に指定している\n",
"\n",
"alphaは色の透明度の指定をしている。小さい数値は透明度が高い。\n",
"\n",
"plt.xlabel('$P_{t}/P_{t-1}-1$')\n",
"\n",
"x軸のラベルの設定\n",
"\n",
"plt.ylabel('frequency')\n",
"\n",
"y軸のラベルの設定\n",
"\n",
"さらにこの変化率の分布に日経平均株価の変化率の平均と分散を用いて描いた正規分布を重ね合わせてみよう"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac2924b470>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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6+Ot1ku4eZ80AICk2PpgkrUzh4SkSZpXma0ZxHiEMwBlBQtgHJBVJuk3SxYoN\n1Lpu1E/EXBXf9tVm9mT8cYOkz0u61sz2SnpN/D0AjNuu5nbl52Rp4YziqEsZk1ls+qJEcASAMfuE\nufsWSYqfDbvN3QP9grj7Q5JG6n16TeAKAWAEuw+3a2l1qXKyU3O6oqFW1JRq/cON6usfmDY1AwhP\nkLkj681su6SnJW03s6fM7OLwSwOAkbl7fLqi1L8UmbCipky9fQPad7wz6lIApIAg/xS7Q9JfuvtC\nd18o6X2K3TEJAJE5erJHJzp7p0Wn/IQVdM4HMEiQENbv7r9NvIlfZuwLryQAGNvOaTBS/lDnzipR\nbrYxfREASaP0CTOzi+IvHzSzr0v6oSSX9CcKPnURAITizHRFc6ZPCMvLydJ5s0vpnA9A0ugd8784\n5P0nB70efZh9AAjZ7uaTmldRqPKi3KhLGZcVNaX67d7jUZcBIAWMNnfk2mQWAgDjsau5XcvnTJ9O\n+Qkra8r0k8cP6nhHj2aW5EddDoAIBbk7stzMvmRmW+OPL5pZeTKKA4DhdJ/u177jndOqP1jCSjrn\nA4gLenfkSUlvjT/axd2RACK090iH+qfJdEVDcYckgIQgE3if6+5vHvT+02b2ZFgFAcBYznTKn0Zj\nhCVUFudpTlkBnfMBBDoTdsrMrk68MbOrJJ0KryQAGN3O5nYV5mbrnGkwXdFwVtSUciYMQKAzYX8h\n6TuD+oG1KNjckQAQit2H27VsTqmys0aaGS21ragp02/3HldPX7/yc7KjLgdAREYNYfH5Ipe5+wVm\nViZJ7s4/3wBEJjFd0Q2r5kRdyoStqClT34Br75EO1c3jPicgU416OdLdByR9JP66nQAGIGrNbd1q\nO3V6WnbKT6BzPgApWJ+w+83sw2Y238yqEo/QKwOAYeyahtMVDbVoZrEKcrPonA9kuCB9wv4k/vy+\nQctc0uKpLwcARpcIYdNxoNaE7CzTsjllnAkDMtyYIczdFyWjEAAIYlfzSc2vKlRpwfSarmiolTWl\n+kXDYbm7zKbnDQYAJifIiPkFZvZBM/uJmf3YzP7azAqSURwADLWzuX1aTdo9khU1ZWrtOq3D7d1R\nlwIgIkH6hH1H0vmSvirp3+KvvxtmUQAwnPbu03r+eKdWpcEdhXTOBxCkT1idu68c9P4BM9sZVkEA\nMJKdh2KBpa52+oewRJ+2Xc0n9erl1RFXAyAKQc6EPW5mlyfemNllkraGVxIADK/hYJskqW7u9A9h\npQW5ml9KEtPjAAAWMklEQVRVqJ2cCQMyVpAzYRdL+r2ZHYi/XyBpj5ltl+Tuvjq06gBgkB2H2lVd\nlq9ZpflRlzIlVnCHJJDRgoSw60OvAgAC2H6wLS3OgiWsnFumjbuOqLOnT8X5QX6OAaSTIENUNCaj\nEAAYTVdvn5471qHXr6qJupQps2peudxjd3xespAxsIFME6RPGABEbldzu9yVVnMtJu7y3N7UFnEl\nAKJACAMwLTQcjN8ZOW/6jxGWMLusQNVl+dp+kBAGZCJCGIBpYfvBNs0sydOcsvQaK3rVvAo93dQa\ndRkAIkBPUADTQsPBNp0/t/ysKX4aGhoiqmhqrJpXrk27j6ijp08ldM4HMgpnwgCkvO7T/dp7tCOt\nLkUmrK6Ndc7fwSVJIOMQwgCkvD2HT6p/wNNiuqKhEjca0C8MyDyEMAApLxFQzk+jMcISZpXmq6a8\ngBAGZCBCGICUt+NQm8oLc1VbWRh1KaFYNa+cYSqADEQIA5DyGg62q25e2Vmd8tPFqnnl2ne8Uye7\nT0ddCoAk4lYcACmtt29Aew6f1M1XL4y6lAkZ7u7Nurq6l71fVRu7zNpwsF1XnDsjKXUBiB5nwgCk\ntGeOnFRv/0BazRk5VOKGgwb6hQEZhRAGIKXtOBQLJuk0XdFQM0ryNa+iUE8TwoCMQggDkNIaDrar\nND9H51QVRV1KqGKd8xk5H8gkhDAAKa3hUJtWzi1TVlZ6dspPWFVbrv0vdqntFJ3zgUxBCAOQsvr6\nB7SruT2tL0UmJPqFMXI+kDkIYQBS1nPHOtV9eiAtR8ofahUj5wMZhxAGIGUl7hZMxzkjh6oszlNt\nJZ3zgUxCCAOQshoOtakwN1uLZpZEXUpSrK5l5HwgkxDCAKSshoOxTvnZad4pP6FuXrkOnOhSWxed\n84FMQAgDkJJO9w9o+8E2ra5N//5gCavnVUiiXxiQKQhhAFLSjkPt6j49oPpzqqIuJWkSfd8IYUBm\nIIQBSElb95+QJNUvrIy4kuSpKMrTgqoibT/IoK1AJiCEAUhJ2xpbVFtZqOqygqhLSapV88r1NJ3z\ngYxACAOQctxdWxtbdMnCzLkUmbCqtlxNLad0orM36lIAhIwQBiDlvHDilI6d7NHF52TOpciEixbE\n/uZtjS0RVwIgbIQwAClna2Pm9QdLWF1brrzsLD32/ItRlwIgZIQwAClny/4WlRbkaOns0qhLSbqC\n3GxdOL9Cj+3nTBiQ7ghhAFLOtsYTumhBpbIyZJDWoS5dVKWGg23q7OmLuhQAIQothJnZHWZ21Mwa\nBi2rMrONZrY3/px51xoAjKqt67SeOdKh+gzsD5ZwyaIq9Q+4Hj/A2TAgnYV5Juzbkq4fsuxjkja5\n+xJJm+LvAeCMRPCoz8A7IxMuPqdSWSZtef5E1KUACFFOWDt299+Y2cIhi2+StCb+er2kzZI+GlYN\nAKafrY0nlJNlunB+xVnrGhoahvlE+inJz1HdvHI9SggD0lpoIWwE1e7eHH99WFJ1ko8PIMVt3d+i\n8+eWqTAvO+pSQjNcmKyrq3vZ+0sXVuk7jzSqp69f+Tnp2xZAJjN3D2/nsTNh97p7Xfx9q7tXDFrf\n4u7Ddvwws1sl3SpJ1dXVF2/YsCG0Ojs6OlRSUhLa/jMZbRuedGzbvgHXf7+/S2vn5+gdK/LPWt/d\n3Z20Wnp7e5WXl5e04xUUvHxmgG1H+vTVJ3r08csKtLQyvUJYOn53UwVtG57xtO3atWu3uXv9WNsl\n+0zYETOrcfdmM6uRdHSkDd39dkm3S1J9fb2vWbMmtKI2b96sMPefyWjb8KRj2z5xoEWn7/u93nT1\naq1ZVXPW+mRejmxqalJtbW3Sjjf0TNjqzl599YmNOl1xjtasOS9pdSRDOn53UwVtG54w2jbZQ1Tc\nI2ld/PU6SXcn+fgAUlhilPhMvjMyoao4T0urS/QY/cKAtBXmEBU/lPSwpGVm1mRm75X0eUnXmtle\nSa+JvwcASbH+YAuqijQ7wybtHsmli6q0rbFF/QPhdRsBEJ0w7458+wirrgnrmACmr8Sk3a9cMjPq\nUlLGJQur9L1HDmhXc7vq5pVHXQ6AKcaI+QBSwoETXTre0aOLM3C+yJFcuig2VhpDVQDpiRAGICVs\n2Z/oD5a5g7QOVVNeqAVVRUzmDaQpQhiAlLCt8YTKCnK0ZDa31w926aIqbdnfojCHEwIQDUIYgJSw\ndX9LbLqeDJ20eySXLqzSic5ePXesI+pSAEwxQhiAyB1t79beox26ZBGXIoeiXxiQvghhACL3wJ7Y\nuM1rl82OuJLUc86MIs0uzWe8MCANEcIARO7Xu49qbnmBls8pjbqUlGNmumRRlR57/gT9woA0QwgD\nEKmevn79du9xrV0+W2b0BxvOZYuq1NzWraaWU1GXAmAKEcIAROqx50+oq7df16zgUuRIrjx3hiTp\nwWeORVwJgKlECAMQqU27jio/J0tXLGak/JGcO6tEi2YW676dR6IuBcAUIoQBiIy769e7j+qq82aq\nMC876nJSlpnpupXVevi542rvPh11OQCmSGhzRwLAWJ471qkDJ7p0yysXR11K5BoaGoZdXldXJ0m6\n7vxqff03+7R5zzG98YK5ySwNQEg4EwYgMg/sjg1N8erl9Acby4XzKzWzJF/37TgcdSkApghnwgBE\nZtPuI1o+p1TzKgrPWjfSmaFMlZ1lunblbP3sqWb19PUrP4fLt8B0x5kwAJFoO3VaW/e3cBZsHK5b\nOUcdPX16+Dkm9AbSASEMQCR+u/eY+gacEDYOV5w7Q8V52dwlCaQJQhiASPx691FVFOXqFQsqoy5l\n2ijIzdaaZbO1cecRDQwwej4w3RHCACRd/4Br855jWrN0lrKzGCV/PK47v1rHTvboyabWqEsBMEmE\nMABJ9+QLrTrR2au1XIoctzXLZisny3TfDi5JAtMdIQxA0j2w+6iys0yvWjor6lKmnfLCXF1x7gzd\nt5OhKoDpjhAGIOk27T6qixdUqqIoL+pSpqXrVlZr37FOPXu0I+pSAEwCIQxAUr1woku7mtu5FDkJ\nr1lZLUmcDQOmOUIYgKT64WMHlGXSTRcy9c5E1ZQX6oLacvqFAdMcIQxA0vT2DehHW1/Qq5dXa+4w\no+QjuGtXVuvJF1p1pL076lIATBAhDEDS3LfzsI539Oqdly+IupRp77Xnz5Ek/eypQxFXAmCiCGEA\nkub7jxxQbWWhXrmEuyIna0l1qS5ZWKn1D+9XPwO3AtMSIQxAUjx3rEMP73tRb790AQO0TpGbr1qk\nF06c0v276BsGTEc5URcAIDP88NEDysky/XF97VnrGhoaIqho+rtuZbXmVRTqW797/szlSQDTByEM\nQOi6T/frzseb9Nrz52h2aUHU5UwrwwXUuro6SVJOdpbWXXmO/tfPd2vHoTadP7c82eUBmAQuRwII\n3c+3N6u167TeeRkd8qfan9QvUGFutr79u/1RlwJgnAhhAEL3/UcPaPHMYl1x7oyoS0k75UW5esvF\ntbr7yUM63tETdTkAxoEQBiBUuw+3a1tji95x2QKZ0SE/DO++aqF6+wf0/UcORF0KgHGgTxiAUP3g\n0QPKy8nSmy+qpQN+SM6dVaI1y2bpe4826i/WLFZ+TnbUJQEIgDNhAELT1dunux4/qBtX1aiymMm6\nw3TzVYt07GSP/uvp5qhLARAQIQxAaL7+4D6d7OnTn15xTtSlpL1XLpmp82aX6I7fPS93Bm8FpgNC\nGIBQNL7Yqa89+JzecMFcXbSgMupy0p6Z6d1XLlTDwXZt2d8SdTkAAiCEAQjFZ362U7lZpr+7YUXU\npWSMP7ponmYU5+kf/2un+voHoi4HwBgIYQCm3P07j2jT7qP6wGuWaE45g7MmS1Fejj71xvP1VFOb\n7vjd81GXA2AM3B0JYEp1n+7Xp+/dofNml+jmqxZFXU5aGm0U/RtX1+juJw/pi/c9o2tXztGimcXJ\nLg9AQJwJAzCl/u+Dz+mFE6d08+oi7dm1Uw0NDWceCJ+Z6R//sE55OVn66I+f1sAAnfSBVEUIAzBl\nDrzYpa9tfk43rq7RBXMKoy4nY1WXFejvX79Cjz1/Qt9/jAFcgVTF5UgAU+Yz9+5Qdpbp716/Qi++\n8FzU5WSUoWcaVxa4rj5vpj7/81169fLZmldBKAZSDWfCAEyJnzzepPt3HdVt1yxRTTn/w4+amelz\nf7RKAy59/CfbGTsMSEGEMACTtnHnEf3tnU/rskVVeg+d8VPG/Koi/e1rl+nBZ47pP7e8EHU5AIYg\nhAGYlN89e1zv+8Hjqptbpm+sq1deDj8rqWTdlQt15bkz9PG7tuvH25qiLgfAIPQJAzBh2xpbdMt3\ntqqmJFsfvaJUjc/uibokDJGdZfrGunrd8p2t+tD/e0qnTvfrTy9nGikgFRDCAEzIjkNtuvlbj2l2\nab4+86pKleVnR10ShhjcWf9DlxSr91SX/v6nDeo+3a8/+4PFEVYGQCKEARinhoYGPXeiV5/YdER5\n2aZP/EGlqor4KUl1edmmj79ylr7RcFqf/a9dOtXbr7969Xkys6hLAzIWv5wAAuvq7dMdj7fop7va\nVVGQrc9eU63ZJfyMTBe52aZbV+Wqq6NYX9z4jHY1HtK7LqjQ5RdfEHVpQEbi1xPAiAZfztp26JT+\nz6Mv6khnv647r0Q3v6JCpVyCnHays0x/c+UMleVn6Z7dJ/Xb/V16x/Odet3SUuVkvXRWLDENEoDw\nEMIAjOpIR5/WP9Gi3zR2qbYsR5+/tlp11UzKPZ1lmemW+ipds7hE33y8RV/f2qJ795zUey6q1KW1\nhVyiBJIkkhBmZtdL+ldJ2ZK+4e6fj6IOIFONNY9ja3e/Hmrs0m/2d2rnsR7lZEnvXF2ut5xfrtxs\n/gedLhZX5emz18zW1oOn9M3HW/QPDx7T0hl5umpBkYqqO7R4VknUJQJpLekhzMyyJf27pGslNUna\nYmb3uPvOZNcCIKajp1/Pt57W8y292nLwlJ463K0Bl86pyNW7LqzQmoXF9P1KU2amS2qL9Iq5hbrv\n2Q79cu9JfeuJVn3riQdVW5ajy+cX6aKaQp1Tkaur6uk7BkylKH5VL5X0rLvvkyQz2yDpJkmEMGCS\nBp/hcnf1DUg9fQPq7nO19wyotbv/pcepAb3Qflr7W3t1rLP/zOeqS3L05pVletXCYi2szIviz0AE\ncrJMNywt1Q1LS3W0o0+PNnXpkaZTumtnu+7c0S5JKvvZIc0vz1VtWa7mleWovCBbZfnZKsvPUll+\nlkrzspSfk6ULV9dxSRMIIIoQNk/S4PkzmiRdFkEdZ2w53Kevff3hKEtIW62tp/S1PbRtwrCz9w1Z\n2NnVqcQ0f4lV7pLL48+x9z29vcp59D71D0j9A64+jz8PuHr7Xd19roFRpgvMzZJqSnO1cla+Fi3N\n06LKPC2syFVVYTb/A81ws0ty9IblZXrD8jJ19A5o97EeNbWf1gttscfDL3SpvWdgxM9nbTigvGxT\nXrYpP9uUnWXKsthNAdkm9fedVt5jG5UlySz+kMlMKioqUuLbl1je2dV51jFG+oYWFxdP+u+fzvjN\nHdsHXrNEV547M+oyJKVwx3wzu1XSrfG3HWYW5lDcMyUdD3H/mYy2Dc+k2/ZZSb+dmlrSEd/d8NC2\n4aFtx/CjiX90PG0baFqKKELYQUnzB72vjS97GXe/XdLtySjIzLa6e30yjpVpaNvw0Lbhon3DQ9uG\nh7YNTxhtG8VMu1skLTGzRWaWJ+ltku6JoA4AAIDIJP1MmLv3mdlfSfqVYkNU3OHuO5JdBwAAQJQi\n6RPm7j+X9PMojj2CpFz2zFC0bXho23DRvuGhbcND24ZnytvW3Ee5fQoAAAChiKJPGAAAQMbLiBBm\nZlVmttHM9safK0fY7g4zO2pmDUOWf8rMDprZk/HHDcmpfHqYgvYN9PlMNI62vd7M9pjZs2b2sUHL\n+e4OMVJbDVpvZvaV+PqnzeyioJ/NdJNs2/1mtj3+Pd2a3MqnhwDtu9zMHjazHjP78Hg+m+km2bYT\n/u5mRAiT9DFJm9x9iaRN8ffD+bak60dY92V3vzD+SKX+bKlgsu0b9POZaMy2GTQV2OskrZT0djNb\nOWgTvrtxAdpK8XVL4o9bJX1tHJ/NWJNp20HWxr+nDLEwRMD2PSHpNkn/PIHPZqzJtO0gE/ruZkoI\nu0nS+vjr9ZLeNNxG7v4bxRoa4zPZ9g30+QwVpG3OTAXm7r2SElOB4WxB2uomSd/xmEckVZhZTcDP\nZrLJtC3GNmb7uvtRd98i6fR4P5vhJtO2k5IpIaza3Zvjrw9Lqp7APt4fP31+B5fLzjLZ9p2K/z7p\nKkjbDDcV2LxB7/nuvmSsthptmyCfzWSTaVspNiPX/Wa2zWIzpuDlJvP947s7usm2z4S/uyk7bdF4\nmdn9kuYMs+rvBr9xdzez8d4S+jVJ/6BYQ/+DpC9Kes9E6pyuQm7fKfv8dMR3F5AkXe3uB81stqSN\nZrY7fvYcSHUT/u6mTQhz99eMtM7MjphZjbs3x099Hx3nvo8M2td/SLp34pVOT2G2r6TJfn5am4K2\nHXEqML67ZwkybdpI2+QG+Gwmm0zbyt0Tz0fN7C7FLhERwl4SaMq/ED6bCSbVPpP57mbK5ch7JK2L\nv14n6e7xfHhIn4U/lNQw0rYZalLtOwWfT2dB2mbEqcD47p4lyLRp90h6V/xOvssltcUvCTPl2ugm\n3LZmVmxmpZJkZsWSrhPf1aEm8/3juzu6CbfPpL+77p72D0kzFLuzbK+k+yVVxZfPlfTzQdv9UFKz\nYh3vmiS9N778u5K2S3o6/h+mJuq/KZUeU9C+w36ex7ja9gZJz0h6TtLfDVrOd/fsNj2rrST9haS/\niL82xe6Uei7edvVjtTOPybWtpMWSnoo/dtC2E27fOfHf1nZJrfHXZSN9lsfk23ay311GzAcAAIhA\nplyOBAAASCmEMAAAgAgQwgAAACJACAMAAIgAIQwAACAChDAAAIAIEMIAAAAiQAgDkJLM7M/N7LCZ\nPWlm+8zs3SNs93/N7Kqg24ctPlH6UTNjxHcAoyKEAUhVqyR9yt0vlPQWxSYfH87lkh4Zx/Zh+7ak\n6yM6NoBphBAGIFWtlrQ7/rpJUvbQDcxshaRn3L0/yPbJ4O6/kXQiimMDmF4IYQBS1SpJu8zMJN0m\n6V5JMrPKQdu8TtIvx7E9AKQMQhiAlGNm8yWVSPqVpMckVUp6X3z1lwdt+lpJvxzH9qMdc7GZfdPM\n7hxh/f1m1jDM46bx/n0AIEk5URcAAMNYJWmTu7+sb5WZXS9puZn9raR/l1Th7ofM7Iaxtnf3L4x2\nQHffJ+m9I4Uwd3/NJP4eADgLIQxAKlot6alhlh+X9D13/zcze72kB4JuL0lmtkrS54Zs8x53Pzo1\nZQNAcIQwAKlolaSfD7N8cNh6naQ7x7G93H27pBunrsyzmdkPJa2RNNPMmiR90t2/GeYxAUxP5u5R\n1wAAgZjZGyW9WdLnJX1f0mXufjrI9u6+a4x9z5D0j5KulfQNdx96xgwAphQhDAAAIALcHQkAABAB\nQhgAAEAECGEAAAARIIQBAABEgBAGAAAQAUIYAABABAhhAAAAESCEAQAARIAQBgAAEIH/D0n8Fued\n49PCAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac4475a0f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import norm\n",
"fig=plt.figure(figsize=(10,6))\n",
"ax=plt.subplot(1,1,1)\n",
"x=np.linspace(float(rn225.min()),float(rn225.max()),100)\n",
"pdf=norm.pdf(x,rn225.mean(),rn225.std())\n",
"rn225.hist(bins=100,color='lightgray',normed=True,ax=ax)\n",
"plt.plot(x,pdf)\n",
"plt.xlabel('$P_{t}/P_{t-1}-1$')\n",
"plt.ylabel('probability density function')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean 0.00036 std 0.01233 skew -0.13705 kurt 9.56483\n"
]
}
],
"source": [
"print(\"mean %2.5f std %2.5f skew %2.5f kurt %2.5f\"\\\n",
"%(rn225.mean(),rn225.std(),rn225.skew(),rn225.kurt()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"図から分かるように実際の変化率は正規分布に比べて中心付近の尖りが強く、中間部分が薄く、すそ野の部分が厚い分布です。\n",
"\n",
"分布の形状を表現する尺度として歪度と尖度を見てみよう。\n",
"\n",
"歪度(わいど)は分布のひずみを表す尺度で、歪度がゼロであれば左右対称の分布である。\n",
"\n",
"正の歪度とは分布の山が左側によっていて右側にゆっくりと裾野が伸びていくような感じである。\n",
"\n",
"逆に負の歪度とは分布の山が右側によっていて、左側のすそ野がゆっくりと伸びていく感じである。\n",
"\n",
"金融関連の価格の時系列は正の歪度をもつことが多い。尖度は分布のすそ野の厚さ、または中心の山のとがり具合を表している。\n",
"\n",
"正規分布の尖度は3である。ここでFisherの定義では3であるが、Peasonの定義では0であることに注意。\n",
"\n",
"本資料の場合はFisherの定義を用いている。尖度は大きければすそ野が広くなる。 \n",
"\n",
"歪度は‐0.12、尖度は9.5である。分布に歪はほどんどなく、すそ野が厚い分布です。\n",
"\n",
"### プログラムコードの解説\n",
"\n",
"from scipy.stats import norm \n",
"\n",
"scipy.statsからnormをインポート\n",
"\n",
"linspace(max,min,n)\n",
"\n",
"max,minで変数の上限と下限を与え、それをn等分した変数を返す関数である。\n",
"\n",
"ここでは日経株価平均の変化率の最大値と最小値の間を\n",
"\n",
"100個に区切ってそれをxに代入している。\n",
"\n",
"norm.pdf(x,mean,std)\n",
"\n",
"平均(mean)、標準偏差(std)で与えられた正規分布の変数xの確率分布を与える。\n",
"\n",
"ここでは日経平均株価の変化率の平均と分散からxの値の確率分布を出力している。\n",
"\n",
"hist(bins=100,alpha=0.2,normed=1)\n",
"\n",
"normed=1とすることで頻度ではなく確率密度関数を表示している。最大値は100である。\n",
"\n",
"plt.plot(x,pdf)\n",
"\n",
"変数xをx軸に、その確率分布はy軸としてグラフを描いている。\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 250日間隔の変化率のヒストグラム\n",
"\n",
"次に当日と前日の終値から計算した1日間隔の変化率から当日の終値と250日前の終値から計算した250日間隔の変化率$P_{t}/P_{t-250}-1$に変更してみよう。pct_change(250)とすることで250日間隔の変化率を算出できる。 \n",
"\n",
"このように同じ時系列から異なる期間の変化率を算出しその分布を求めて特徴をとらえることができる。"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac28d0ada0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dUvnVkXmkRMBI+j6f8ccz8knwGY9+vILqGsdvTxmkokxExEOhDAx7d93XZnYX8G5TP2dm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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac28ec5470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(10,6))\n",
"ax=plt.subplot(1,1,1)\n",
"r250n225=n225.pct_change(250).dropna()\n",
"x=np.linspace(float(r250n225.min()),float(r250n225.max()),100)\n",
"pdf=norm.pdf(x,r250n225.mean(),r250n225.std())\n",
"r250n225.hist(bins=100,color='lightgray',normed=True,ax=ax)\n",
"plt.plot(x,pdf)\n",
"plt.xlabel('$P_{t}/P_{t-250}-1$')\n",
"plt.ylabel('probability density function')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"分布はほぼ正規分布に近いように見える。歪度と尖度で確かめてみました。"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean 0.10583 std 0.25636 skew 0.79390 kurt 1.79940\n"
]
}
],
"source": [
"print(\"mean %2.5f std %2.5f skew %2.5f kurt %2.5f\"\\\n",
"%(r250n225.mean(),r250n225.std(),r250n225.skew(),r250n225.kurt()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"歪度(skew)が0.80、尖度(kurt)が1.79である。分布の歪はほぼゼロである。尖度が1日間隔の変化率と比べると正規分布に近づいてきました。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## バブル崩壊前と後の変化率のヒストグラムを比較  \n",
" \n",
" 実際にバブル崩壊前と後で本当に経済の背後にある構造が変化しているのであれば、どこかに明確な変化が見て取れるはずである。それを探し当ててみよう。\n",
" \n",
" 次のグラフは1日間隔の変化率のバブル崩壊前と後の比較である。すそ野の広がりに違いが見られるが、大まかな釣り鐘型はキープされています。"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac2813e080>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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XQ56KyxYRsQpQRNwZEScBry43LDOrKOcbM2spzzguD0vaBLhd0rvILk3cstyw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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac2845d550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(9,4))\n",
"ax=plt.subplot(1,2,1)\n",
"before=rn225.loc[:'1989/12/31']\n",
"before.hist(ax=ax,bins=100,color='blue',normed=True)\n",
"plt.title('before bubble crashed')\n",
"plt.xlabel('$P_{t}/P_{t-1}-1$')\n",
"plt.ylabel('probability density function')\n",
"ax2=plt.subplot(1,2,2)\n",
"after=rn225.ix['1989/12/31':]\n",
"after.hist(ax=ax2,bins=100,color='blue',normed=True)\n",
"plt.title('after bubble crashed')\n",
"plt.xlabel('$P_{t}/P_{t-1}-1$')\n",
"plt.ylabel('probability density function')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に基本的な記述統計を計算して確かめてみました。"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"before crashed: mean 0.00058 std 0.00987 skew -0.44466 kurt 15.46825\n",
"after crashed: mean 0.00002 std 0.01530 skew 0.03837 kurt 5.48206\n"
]
}
],
"source": [
"print(\"before crashed: mean %2.5f std %2.5f skew %2.5f kurt %2.5f\"\\\n",
"%(before.mean(),before.std(),before.skew(),before.kurt()))\n",
"print(\"after crashed: mean %2.5f std %2.5f skew %2.5f kurt %2.5f\"\\\n",
"%(after.mean(),after.std(),after.skew(),after.kurt()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" \n",
"\n",
"| | 平均 |標準偏差 |歪度 |尖度 |\n",
"|-------------------|-------------|-------------|-------------|-------------|\n",
"|バブ ル崩壊前 |0.058% |0.99% |-0.44 |15.47 |\n",
"|バブル崩壊後 |-0.001% |1.54% |0.04 |5.35 |\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"平均値は当然バブル崩壊前がプラスでその後がマイナスである。標準偏差はバブル崩壊後は前の1.5倍ぐらいに膨らんでいる。\n",
"\n",
"ボラティリティが上がっている。次に歪度であるがバブル崩壊前は負の歪度であり、尖度が非常に高い、尖度が極端に高くなっているのはブラックマンデーの影響があるかもしれない。\n",
"\n",
"バブル崩壊後では割と正規分布に近いので驚く。歪度はほぼゼロですね。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に250日間隔の変化率の性質を見てみよう。まず、歪度(skew)、尖度(kurt)を算出しました。"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"before crashed: mean 0.17481 std 0.24833 skew 1.12898 kurt 2.74224\n",
"after crashed: mean 0.00462 std 0.23334 skew 0.47220 kurt -0.14199\n"
]
}
],
"source": [
"before250=r250n225.loc[:'1989/12/31']\n",
"print(\"before crashed: mean %2.5f std %2.5f skew %2.5f kurt %2.5f\"\\\n",
"%(before250.mean(),before250.std(),before250.skew(),before250.kurt()))\n",
"after250=r250n225.loc['1989/12/31':]\n",
"print(\"after crashed: mean %2.5f std %2.5f skew %2.5f kurt %2.5f\"\\\n",
"%(after250.mean(),after250.std(),after250.skew(),after250.kurt()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"| | 平均 |標準偏差 |歪度 |尖度 |\n",
"|-------------------|-------------|-------------|-------------|-------------|\n",
"|バブ ル崩壊前 |17.48% |24.83% |1.13 |2.74 |\n",
"|バブル崩壊後 |0.13% |23.52% |0.5 |-0.13 |"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"次に250日間隔の変化率の性質を見てみよう。まず、歪度(skew)、尖度(kurt)を算出した。 \n",
" \n",
"どちらの期間の分布も正の歪度をもっているが、バブル崩壊前の歪度の方が大きい。\n",
" \n",
"これは正のフィードバックが反映されている可能性がある。バブル崩壊後は歪度はゼロに近い。\n",
" \n",
"また、尖度に関してはバブル崩壊前がプラス2.74であるのに対して、バブル崩壊後は若干のマイナスである。\n",
" \n",
"バブル崩壊前は正規分布に近い。\n",
" \n",
"次のグラフは250日間隔の変化率のバブル崩壊前と後のヒストグラムです。"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac27cedef0>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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FC2JiYqLhc01NTdFsXZUUOY5Fi578eFgvNxyn96QqhuRYus0rZwKnkPWXa2aTJmdJs4BT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\nMzMzq4T/D77ZpHdUUQHSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac27f8f4a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(9,4))\n",
"ax3=plt.subplot(1,2,1)\n",
"before250.hist(ax=ax3,bins=100,color='blue',normed=True)\n",
"plt.title('before bubble crashed')\n",
"plt.xlabel('$P_{t}/P_{t-250}-1$')\n",
"plt.ylabel('probability density function')\n",
"ax4=plt.subplot(1,2,2)\n",
"after250.hist(ax=ax4,bins=100,color='blue',normed=True)\n",
"plt.title('after bubble crashed')\n",
"plt.xlabel('$P_{t}/P_{t-250}-1$')\n",
"plt.ylabel('probability density function')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"左がバブル崩壊前、右がバブル崩壊後である。明らかな違いがある。バブル崩壊前では0.3近辺にこぶがあるように見えます。\n",
"\n",
"それを除くと1つの分であるようにも見える。また、中心部分が非常に大きく伸びている。バブル崩壊後ではピークが複数あるようにも見える。\n",
"\n",
"また、すそ野の広がりはバブル崩壊後のほうが狭いです。\n",
"\n",
"歪度、尖度から受けるイメージとはまた違うところが面白いですね。  \n",
"\n",
"2つのヒストグラムを重ね合わせてみるとさらに特徴を比べることができます。"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fac279525c0>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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+xOrTApwGXEAww+13gR8DxwH3AwcnGJ/0NdFEpYJNKn1m5ExmBWnokhCO+6oW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\nIqnw/wFX04r/6LgFmwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac27abec50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(9,4.3))\n",
"ax5=plt.subplot(1,1,1)\n",
"before250.hist(ax=ax5,bins=100,normed=True,label='before',histtype=\"step\")\n",
"after250.hist(ax=ax5,bins=100,normed=True,label='after',histtype=\"step\",linestyle='--')\n",
"plt.xlabel('$P_{t}/P_{t-250}-1$')\n",
"plt.ylabel('probability density function')\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最も大きな違いはデータの数であることから標本数を調整して直接分布の形状を比べられるようにしました。\n",
"\n",
"Y軸は確率密度関数に成っている。250日間変化率の平均値がバブル崩壊後では大きく下がっていることがよくわかと思います。\n",
"\n",
"また、すそ野はバブル崩壊前がプラス方向に大きく伸びているのに対して、バブル崩壊後はすそ野が伸びるというよりは幾つかの分布が重なっているイメージです。\n",
"\n",
"これがバブル崩壊前の歪度が崩壊後に比べて正に大きい理由です。  \n",
"\n",
"実際に内閣府発表の景気循環期は戦後15期あり、それぞれの景気循環期には景気拡張期と後退期に分かれていて、バブル崩壊前では拡張期と後退期で日経平均株価の価格の変化率はプラスであったが、\n",
"\n",
"バブル崩壊後では拡張期にはプラスになり、後退期にはマイナスになっています。\n",
"\n",
"1日間隔の変化率のヒストグラムからはボラティリティの違いが目に付くだけなのに対して、250日間隔の変化率からは歪度に見られるような特殊性が見て取れるので、統計的な分析だけでは不十分で、経済の状態を事細かに\n",
"\n",
"調べる必要があることに気づかされました。\n",
"\n",
"実際にはすべての景気循環期の拡張期と後退期についてのさまざまな分析をする必要があります。\n",
"\n",
"## 3Dサーフェスの活用  \n",
"\n",
"実際の価格の変化率は資産を保持している期間によって影響を受けます。\n",
"\n",
"それは1日間隔の変化率と250日間隔の変化率の比較で理解できたと思ます。\n",
"\n",
"しかし、これを実際の頭の中で連続した現象として理解しておくことは容易なことではないですね。\n",
"\n",
"それを直感的に与えてくれるのが3Dサーフェスです。"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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f//v7+3F0dKTKubUKEkMdhtomaa3yttQSQ2qZqHO5HGZnZ+HxeFRJmlcbEjL6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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac2790d898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D\n",
"from matplotlib import cm\n",
"rmax=float(n225.pct_change(10).max())\n",
"rmin=float(n225.pct_change(10).min())\n",
"rmax=int(rmax*100)/100.0\n",
"rmin=int(rmin*100)/100.0\n",
"nbins=30\n",
"dx=(rmax-rmin)/nbins\n",
"rc=int(rmin/2+rmax/2)/100.0\n",
"bins = np.arange(rmin, rmax, dx)\n",
"xyz=[]\n",
"k=0\n",
"start=1\n",
"end=250\n",
"for i in range(start,end):\n",
" tmp=n225.pct_change(i).dropna()\n",
" nn225=np.array(tmp)\n",
" n, bin, rectangles = ax.hist(nn225, bins,normed=True)\n",
" xyz.append([])\n",
" for j in range(len(bins)-1):\n",
" xyz[k].append(n[j])\n",
" k+=1\n",
"xyz=np.array(xyz)\n",
"fig = plt.figure(figsize=(10,10))\n",
"ax = fig.gca(projection='3d')\n",
"Y = np.arange(0, len(n), 1)\n",
"X = np.arange(0, k-2, 1)\n",
"X, Y = np.meshgrid(X, Y)\n",
"Z = xyz[X,Y]#np.sqrt(X**2 + Y**2)\n",
"surf = ax.plot_surface(X, Y, Z, rstride=2, cstride=10, cmap=cm.Accent,\n",
" linewidth=0.5, antialiased=True)\n",
"plt.yticks([0,int(nbins/2),int(nbins)],[rmin,rc,rmax])\n",
"ax.set_xlabel='days'\n",
"ax.set_ylabel='ror'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"x軸は変化率の計算に用いる日数の間隔、y軸はそれぞれの日数間隔の変化率です。\n",
"\n",
"z軸は正規化された頻度であるが、その正規化は変化率を計算する際の日数の間隔を固定した時の変化率の分布の正規化の結果であり、3Dサーフェスすべてに用いられている変化率の正規化ではないことに注意が必要です。\n",
"\n",
"この3Dサーフェスが語ってくれるものは何であろうか? \n",
" \n",
"それは頻度です。\n",
" \n",
"1日間隔の変化率と250日間隔の変化率を2Dヒストグラムで見て、どちらの分布もベル型であることは分かります。\n",
" \n",
" 従って、変化率が動かないところの頻度が一番高い。それが2Dヒストグラムから受ける印象です。 \n",
" \n",
" 最初の1日目では価格は初期値からほどんど動かない。動いてもほんのわずかです。\n",
" \n",
" 2日目も同じです。\n",
" \n",
" 違いは初期値から比べれば価格の動きが1日分加算され、累積価格の動きの幅(変化率)が大きくなることです。\n",
" \n",
" そして、その動きは数日間ではあまり気にならない。\n",
" \n",
" ところがこの同じ状態が何度も何度も繰り返される内に、初期値からの価格の最大乖離幅はどんどん大きくなっていきます。\n",
" \n",
" しかし、釣り鐘型の分布の形状は維持されている。それは250日経過した後でも同じです。\n",
" \n",
" 2Dヒストグラムで見ると、幅の広い釣鐘状です。\n",
" \n",
" 中心の頻度が高く両側のすそ野に行くほど頻度が低くなるので、価格は大きくは動かないと思いがちです。\n",
" \n",
" しかし、この2Dヒストグラムの釣鐘状は1日目のヒストグラムに比べれば明らかな平面です。\n",
" \n",
" それは何を意味するのだろうか? \n",
" \n",
" それはどの価格帯も同じ確率で起こりうる可能性があります。\n",
" \n",
" その真実を3Dサーフェスは明らかにしてくれてます。  \n",
" \n",
" 3Dサーフェスから見て取れるように250日目のサーフェスはほぼ平らです。\n",
" \n",
" どの価格にいる確率も1日目の価格変化の確率と比べればほぼ等しい。\n",
" \n",
" このことを2Dヒストグラムから読み取ることは難しい。\n",
" \n",
" 2Dヒストグラムを比べる場合にはy軸の頻度のレベル、または確率密度関数の大きさに注意しなくてはならない。\n",
" \n",
" 3Dサーフェスではこれを気にする必要はないです。\n",
" \n",
" 便利な道具です。そして、この現象は、ランダムウォークの特徴でもあるし、AR(1)の回帰係数が1に近いときの特徴でもあります。\n",
" \n",
" この特徴を決して忘れないでほしいですね。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### プログラムコードの解説\n",
"\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"3Dコレクションの追加\n",
"\n",
"from matplotlib import cm\n",
"\n",
"cm:カラーマップの提供\n",
"\n",
"rmax=float(n225.pct_change(10).max())\n",
"\n",
"変化率の最大値の設定\n",
"\n",
"rmin=float(n225.pct_change(10).min())\n",
"\n",
"変化率の最小値の設定\n",
"\n",
"rmax=int(rmax*100)/100.0\n",
"\n",
"ヒストグラムの瓶の数\n",
"\n",
"rmin=int(rmin*100)/100.0\n",
"\n",
"ヒストグラムの瓶の幅\n",
"\n",
"nbins=30\n",
"\n",
"dx=(rmax-rmin)/nbins\n",
"\n",
"rc=int(rmin/2+rmax/2)/100.0\n",
"\n",
"目盛りの中心鎖\n",
"\n",
"bins = np.arange(rmin, rmax, dx)\n",
"\n",
"ヒストグラムの瓶の設定\n",
"\n",
"xyz=[]\n",
"\n",
"頻度の格納容器\n",
"\n",
"k=0\n",
"\n",
"start=1\n",
"\n",
"最小の日数間隔\n",
"\n",
"end=250\n",
"\n",
"最大の日数間隔\n",
"\n",
"for i in range(start,end):\n",
" \n",
" tmp=n225.pct_change(i).dropna()           変化率の設定\n",
" \n",
" nn225=np.array(tmp)            numpy配列への変更\n",
" \n",
" n, bin, rectangles = ax.hist(nn225, bins,normed=True) nは瓶に対する頻度\n",
" \n",
" xyz.append([])         新たな変化率の格納スペースの確保\n",
" \n",
" for j in range(len(bins)-1):\n",
" \n",
"    xyz[k].append(n[j])         頻度のコピー\n",
" \n",
" k+=1\n",
"\n",
"xyz=np.array(xyz)         頻度データベースをnumpy配列に変更\n",
"\n",
"fig = plt.figure(figsize=(10,10))\n",
"\n",
"ax = fig.gca(projection='3d')         現在の軸情報を取得\n",
"\n",
"Y = np.arange(0, len(n), 1)         Y値の設定\n",
"\n",
"X = np.arange(0, k-2, 1)         X値の設定\n",
"\n",
"X, Y = np.meshgrid(X, Y)         X,Yのメッシュを作成\n",
"\n",
"Z = xyz[X,Y]#np.sqrt(X**2 + Y**2)         頻度をxにコピー\n",
"\n",
"surf = ax.plot_surface(X, Y, Z, rstride=2, cstride=10, cmap=cm.Accent,\n",
"\n",
"linewidth=0.5, antialiased=True)         サーフェスのプロット\n",
"\n",
"plt.yticks([0,int(nbins/2),int(nbins)],[rmin,rc,rmax])  Y軸の目盛りの設定\n",
"\n",
"ax.set_xlabel='days'         x軸のタイトル\n",
"\n",
"ax.set_ylabel='ror'         Y軸のタイトル"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 散布図の利用  \n",
" \n",
" 時系列の j 日間隔の変化率$P_{t}/P_{t-j}-1$を算出し、それをそのj日間前の変化率$P_{t-j}/P_{t-2j}-1$と比べてみました。  \n",
" \n",
" ここでjは移動する日数である。これは変化率の自己相関を散布図で表現していることに近い。自己相関が無ければ散布図はきれいな円形になるはずです。\n",
" \n",
" ## 1日間隔の変化率  \n",
" 日経平均株価の1日間隔の変化率の散布図を描いてみよう。x軸がt-1日の変化率、y軸がt日の変化率である。その右側の図は変化率の標本自己相関のコレログラムです。\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
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jJ6KHMlb0bnSjd7KdQl1lqXdvbS2VWzFij9yYu1eWsY8uUVuvTdobt0rDva3W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\nFffVG0kKg3QIAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac174c5390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pandas as pd\n",
"import pandas_datareader.data as web\n",
"import numpy as np\n",
"import statsmodels.api as sm\n",
"fig = plt.figure(figsize=(10,4))\n",
"ax1=fig.add_subplot(1,2,1)\n",
"plt.scatter(rn225,rn225.shift(1),color='pink',alpha=0.05)\n",
"plt.xticks([-0.2,0,0.2])\n",
"plt.title('1 days')\n",
"plt.xlabel('$P_{t-1}/P_{t-2}-1$')\n",
"plt.ylabel('$P_{t}/P_{t-1}-1$')\n",
"plt.hlines([0],-0.1,0.1)\n",
"plt.vlines([0],-0.1,0.1)\n",
"ax2=fig.add_subplot(1,2,2)\n",
"fig=sm.graphics.tsa.plot_acf(rn225.squeeze(), lags=5,ax=ax2,color='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"左の図から見て取れるように、色の薄い部分と濃い部分に分かれる。それぞれのドットが2つの変化率の対を表している。\n",
"\n",
"薄い部分はそのドットの頻度が低く、濃い部分は頻度が多い。\n",
"\n",
"全体として完全な円形ではなく、若干のひずみが見られる。\n",
"\n",
"中央部分の形状がひし形に近いが、これは変化率が大きな日の次の日には小さな変化率の日が生じやすい現象を示している。\n",
"\n",
"同様に変化率の小さな日の次の日には大きな変化率の日が来ることを示している。\n",
"\n",
"右側の標本自己相関のコレログラムからは自己相関は見られない。散布図はコレログラムでは見ることのできない世界を表現している"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### プログラムコードの解説\n",
"\n",
"plt.scatter(rn225,rn225.shift(1),color='pink',alpha=0.05) 散布図の描画\n",
"\n",
"plt.xticks([-0.2,0,0.2]) x軸の目盛りの設定\n",
"\n",
"plt.title('1 days') タイトルの設定\n",
"\n",
"plt.xlabel('$P_{t-1}/P_{t-2}-1$') x軸の名前の設定\n",
"\n",
"plt.ylabel('$P_{t}/P_{t-1}-1$') y軸の名前の設定\n",
"\n",
"plt.hlines([0],-0.1,0.1) 平行線の描画\n",
"\n",
"plt.vlines([0],-0.1,0.1) 垂直線の描画\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 250日間隔の変化率の 散布図  \n",
" 次に変化の期間を1日間隔から250日間隔にしてみよう。それは$P_{t}/P_{t-250}-1$です。また、比べる期間も250日間前の変化率$P_{t-250}/P_{t-500}-1$と比べることにしました。\n",
" \n",
" これは変化率の算出に用いるデータに重複が無いようにするためである"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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8FXBp1XYB/stWLURE3gncDZwSkSeAHwQqGBUHvw/4auAxTF7syVTuXmDU1NA3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\nOFOIizjHcRzHcZwp5P8HJyglFiGf/R4AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac171d8a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig=plt.figure(figsize=(10,4.2))\n",
"ax1=fig.add_subplot(1,2,1)\n",
"plt.scatter(r250n225,r250n225.shift(250),color='violet',alpha=0.05)\n",
"plt.title('250 days')\n",
"plt.xlabel('$P_{t-250}/P_{t-500}-1$')\n",
"plt.ylabel('$P_{t}/P_{t-250}-1$')\n",
"plt.hlines([0],-0.8,1.8)\n",
"plt.vlines([0],-0.8,2)\n",
"ax2=fig.add_subplot(1,2,2)\n",
"fig=sm.graphics.tsa.plot_acf(r250n225.squeeze(),lags=500,ax=ax2,color='gray')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"左の図の結果は、大きな変化率の後には小さな変化率の期間が現れるという現象がさらに強調されている。\n",
"\n",
"250日間で価格が動かなかったつぎの250日間では価格は‐50%から+150%程度まで動く可能性がある。\n",
"\n",
"また、250日間で50%下落した後にはつぎの250日間で50%下落する可能性はないし、50%上昇する可能性もない。\n",
"\n",
"同じ価格水準を維持するか若干下落する可能性が高い。\n",
"\n",
"250日間で50%上昇するとつぎの250日間はどうなるだろうか? \n",
"\n",
"50%下落する可能性から100%上昇する可能性まで幅が広い。\n",
"\n",
"つまり結論は厄介です! \n",
"\n",
"中心回帰の動きとモメンタムが生じる2つの動きが強調され、少なくとも関係が無いわけではないということだ。  \n",
"\n",
"コレログラムの結果の解釈には注意が必要です。\n",
"\n",
"コレログラムの場合には250日の変化率が1日毎に移動していくので250日までは重複したデータを用いて変化率を計算しています。\n",
"\n",
"従ってちょうど250日近辺から自己相関がゼロである可能性が出てきています。\n",
"\n",
"つまり、コレログラムによると、重複の無い250日間隔の変化率の間には自己相関はないです。\n",
"\n",
"散布図はコレログラムでは見ることのできない相関を表している。shift(250)とすることで、250日分のデータの移動ができる"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## バブル崩壊前後の変化率の散布図比較  \n",
" バブル崩壊前と後で価格の動きのメカニズムに変化があるのであれば、散布図の分析でも違いが出るはず\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac16e590f0>"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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Vqyqdy75LzQMhC6+qStEzs3GeVT6X/ZBEahwf32i2kLoz4RZz3pmbZxELF4/K\nWXYnO/gY0Uox7+ZUdoILAaXh0fyQ3gfuTmdMlOLX9j/lqJkztTW7kxkfdZ9RliWHizlBKYahZ94u\nUUrxYHHIpwcPmVRTFl3LW9MduhCwyvD5O/cpi4JPDx8xb1e8s3MXowyRyLSumVQ17dCzV88wxrDo\nmjxhIBLycTnveLjcZ1rUhBjx3lMV5aXUjF3l4Hrh/IhAe9M5a7TmMlKhISQhMrjU0VgXyX6iaWAy\nSR2O3ieh06ySXcXB4e0QZyN1rjUrbYqYoVOKsyxzZJD1SKfg0zGPI59UtuQgricPnMXMVhBuCeeZ\nuXkWsfAqUblCaY66BU3XYY3lraml7XsCkYPVnMqW7C+PeLg65PHiCc4HHoR9ZvMpHQMzW3HUrXA4\n5u0qpSiBrz36gEAgakXvO1zoWfYr9iY7DMHRDi27kx0mRQ0KvnT/80xtTWEt0yIfT74ehxDQShGJ\n6CzO5v2KpmthAstuiTEFpbWAPlOK92Xvz1UNrhfOz7nPulLqX4gx/k9XsRjhBnieNcbJaM1lpEJD\n3u84x9IYKGLqzIwxRY0GD+0qibguj0u6TTiXmgWMTrVz3uWmzmwdMqlS0T+kWryyXovhGNe2I/YU\n2w3nZNzTKyLXr5vhImm4s4iF520DPDWA3CqDi55Ft0IpTW0srR+YFjVD39G6hg+erJiWNSE6GtfS\nuI7O93x48IC9aofCGp4c7WNmin7wfLT/CXv1Lot+yaP5/nHjwdeffMw37n2Oo3bBrKjpS0fTHHHQ\nLPjNX/qNWJWEVNAV1oBBY7VF57o0lObx4pCqKPHBEQJU1uC94+PlYY6QzbDGEKLCu5551/DWdBd4\n9ZqxqxpcL5yfi7wLPwRc6AKnlPodwJ8hOUD9FzHG//TEz1X++e8CVsB3xxj/74u8lnBGnmeNcfLD\n/zyp0Keet5EWdT7VZkHqwPQ+iTKb685cgNUijWvyIUXRbltt6vEEBJW6TX2AqoYuF/kak9K4RfY+\n8y41AIzCWJuriV4KIxe+fgkX41WsG84iFk5uM3jHwWpOHxzOO1b9itXQ887sLtOyZtX3PGj22a1m\nFNoynexylAeiL7sld6Z3aHyPRmGUZaea0Ych+ZyFwMFyyRB6Hi2OOOpXuN6x6nsG7wgx0HQNB80C\noxU+OFSELgy8s3OXo2bFyrfcrXYxWqF1AWQRaQyFttyf3qEdWubtii4MVMqgVIXRhtXQoZUGIs57\nSmtwXtEAt8t3AAAgAElEQVT0DbvVhMb1DM5hjGZWSuTrtnORd+9ClcpKKQP8eeA7gQ+Bn1FK/XiM\n8Rc3NvudwLfmr+8Afjh/F66Ss0RjLlK4viksYD1AvLRQWVj069duO2ja9F2bJG66/tWP7TrRJHuN\n2qTxU1an+4HU6DCdJkHa9anmzhbp/Jh8DrRJ/7ueEccy7ukSkU6La+Y6rRsG7/hk/ogniyNC8Ljg\n6V3HEJLp6916h1lZs+xbjtolgx9Y9S1WafZmyTJj2bfcrXc4Wi05GBa0Q8fHBw/wMTAtKlb9nGXX\n0g89veuJIdL6HhdcGqLuez54/BmlNVRFDW/ZNLK3H/h/P/kVdquKh2qfupjw+d27vLtzn516SqE1\nMcJqaFn2LUPw9G5g7hbM/ABxhlaKWZkihJ8tHuNDYNk0lMZQFiVWGbTSGAyfHD1mUpTURSlms7eU\ni7xjF7Vt/y3AV2OMvwKglPrLwHcBmwLtu4C/FGOMwN9SSt1VSn0+xvjJBV/zteT999+/mRc+OcYJ\nnjWgfd72o7N+HOds5u5FstcXcW3YGsPahf+S+fmv/hIA7//7v+/S971OPebvakM8xVFkkRsCsuCK\nPC1yTzufp533F21/DXzlK1+5kde9BGRG1jVzXdYNY6TuaLUEAr3vGULgqF2CCnR+IMbAR0efMbEV\nnfNURYEPDVYrjpplMqh1PQrFyqfCfx8cgdRN6XrPYtUQVKCwlk+PHmGMoe87nHdEIn034PFYprS0\nfHz4KbNqgt5VhKgw5i0KbbBa82h1wBfdu3jnmfdzVq6l9x6lFQ+OHhN8IETYq+7Q+p69csp8aDho\nlsy7JZOiwnnPfBgoFjXvzO4QgKN2jlIGo0i1dM2cQmtUTq++TLDJNIHt4DrP+BeADzbuf8iz0bHT\ntvkC8JRAU0p9L/C9AO+9996lL1R4DmON2ub9kdMef0qgjf+ojWL5jVFQxw9yZeLsylH5GHw+Jr1h\nFTLWlnHi3JyMip2F570HgrCFXMS64SICYYzUDWFAK43Whn7oaVxPbUsG3zPvVwyDy8NLHMt+hdUa\nF3pi0FijWXUND5ePWfQdhVE0rcPFgcfz/VQ6qy29c7RDR9v2dLEhSbKIRjHgsMDcNZS+QPmA1Zav\nP3nIl966T/COIQaWKPamd2j6hkerfT45fICKmrIqeHS4T1ValCpoh4YnzSH3Jns86o6YtwsOmiVG\ngbIFtS3YNTOCdyz7htIUaG3ohp4P2yPe9Y4QFVVRcHeSjHD3V4vnRtdkmsD2cCvPdozxR4EfBfj2\nb//2W/hJ/mqcOXpx0hZjFEGXWWi+mcYcBZzPwmQUXzEkA9fBATqPLxrWKcwQ0tKaBo5Wafsr6twc\nI2df+TN/4fJ3PilIAs3DbAqTGlDJ/b8qsrWGSV9VkR5XpPNWV8/f7+YQee/XSTqtN7zTJNUpbCfn\n7bTcFAiK5Bf22B1xZzJjt5o+VySMkbraFHR+wAXP4eoQ5z3L2FJgmRaK0mj2V4e8d/cbeNwcsOga\nQgh87s49Pjvap/E9q6Yl6MivPXnIZ4cHaB2ZllPmzYpFf0hwkUW/IGBo8Mdh2UBktVk4GyNxCNAd\nUgTLhzHwaHHEP/DOe/jY8suPPuSzo4f8xne/hVRX5niw3Ofx8oh377zF3UnFTrXDUbtIV+8Iu9UO\n866lsgWzakZtS/rQ0/UD7WBQStO7IVVcFBWH7YLalliTukAb12GUIkSfXIxOiC+ZJrA9XORsf3bB\n1/oI+NLG/S/mx867jXAWThaW+5BEUZEFwmUVmp9WHzV6eBmbasq6PgkL1ydREvXxuMrjIelNm+0o\nilSrdqMDNi9IO2QLDZXEaBmTaIsxNUAYnerSAnlw+vjEl/yNMTZy9H3advRMGxsGpBbtPFz0+iVc\nkPNaN4wCIcbAom/QSlMXBe3QolDPfe4o/nYnu/SLgxSFG3qqomRa1DRDR+8dFsW0mtAGR2ErQt+j\ntObDwwcsVgsimqg0w9DhokPrSIiw6hqW/ZLW9UTnsxBzL/zf6/EEAs2qQaO543eZDDUf2E+obElZ\nFCybAqV/DRM137B3FxcDWqc05duzPawpKJxi2XfslBVVYaltSYyBT44e5c5T0ESmVU03dKz6hqAU\nd8opnRuYFBMGP9C4PtWoGY3z/hnxNXiXGhyURmvNxJZYY2WawA1xboEWY/zOC77WzwDfqpT6ZpLo\n+t3ASSfvHwd+INenfQdwKPVnF+SkcIrZGPVkau1VP9xP6+7cXMMwpBFIesN8NYYk0qYT8AO4IZm4\nksc/3UJtBuQaO5IwNWWekqBTx2ZZJAsRRTpGH6B3Kf1ZFi/f99hEYC/QSSsc8wrXL+EVOI91wxgJ\nm3dtEhP5+hJ8GiL+vEjOGKmbFhWH1rBTTnl75y7zrqEPA1YbLJEhd6s/Xh6hiITgsdryycFDCmXQ\nxvLZ4gEf7j+kcS06KIIKqdarXeAIBPyZxgB3G1tpQpoioBRPVgfM7BSMZrea8unBA764d58H8wOi\ngkJZejfwycFj9qY7RAJaFXxu5x4ueoxSPFwdYYzBeoOKCq8VznuG4Alo7hQpQtkNA0PZU9s0Q9Qa\nk01v02fAKL6OI5dKJe+1GFn0DTvl5Lh2Tbheri1eGWN0SqkfAH6SZLPxYzHGX1BKfV/++Y8AP0Gy\n2PgqyWbje65rfa8dJ4VTzJGXuHFZuYwP99O6O0d8HtGks+lqYfNcypg6OVWOIpkApYc2rCcNGMC/\n2tKuHQ2UJk0KmNgUrfQhDYEPNo18ylOe0jzO1C6f0s5nEMoyAkp4AzgeZp7FBHAsKF4UydmM1NW2\nSh2NaGZ1i/MeHQOHXcu0KHi03GdaJcHiQuBXn3xA63oW3ZJh6DnolizaBYuuwfuAw+GI9K9wUQrA\ngGOvKGl6z06pKK0BIkftkg8BYmSnntEOPe/u3GWpW3QPbTfwxXvvctStKEyBtoYYYdk0dEPLXn2X\ntyd3cNHxzuwukWSS2wfP/ekugYgxFq01g3OAYlbVwLoecNEtWQ09znu6oWFa1RhtWPQt06KWaQI3\nwLUmlGOMP0ESYZuP/cjG7Qh8/3Wu6bXl5If5mHq87A/304xus08P/QBkETim+SLpe5GHf6NTZK+w\nUFawXEHos7i5RQpNA9MqTwXQabSTz6LLA0MD9+6mq3TBOj3ps1A7k0A7o6mwINxixkhYJIkHBfgQ\nmVX1c5sLNpsKQowoBYtueWxKG7SlGTqsgkW3YtV3aGVStG214MnykMIWLPoVR6slnxw+YNW3gKan\nu7SgvsPR+x6rNcu+Yd5HdIQQNU/mh+ii4K1myc50xqPmkHroMOoe07KkGQamRZ+81pqGvckOsY5U\nxqK05u5sj4dHjxiC46hZgFLcmexQmJLgHdOixIfAwMC0mBw3APgQqG3B4/aQypZMygqtNKt+RV1M\n0Or5aWXhapEz/rpy8sNc6eREX4wzMS/pw/2k0S0ksRJIUbxA6tb0PkXSRpFoihRhKzXEIokY36c1\ntUOKos0MLG+BF5pmLTAV64ihCzCbQF1nkUoSo5p1JLO06T04SyTzrKbCgnCLGSNhEDhsl5TGJpsK\npU9tLhi8Y7+Z4/yA856jdkEzOJZDwzD0fHT4mBjh7mTK5+68zWfzR5S24tf2P0MR+Wyxj4uO1arh\ncLnks/lDln1Dj8NwuRUXA3DYLpgwYdWs6GNgUtYQFCE67kxmVNoQWpi7lju2py4rrNEsDx7wePkE\nqwzTsmZmp7ljE1TUHKyOaP3Aomspi4IY0mB2FaGwqYzCGsuO1gzes786IgI7ZU3jekpjj8tiq6LA\nml1CjNypn9+YIVwtr3zWlVL/UYzxT17GYoRL5OSHuVGpLuo4nXaJH+5jwXoIKWo21rmNQmW0nwgB\nUKmD0Sjo87D0tk91aGNdVvBQTXK60yWhs60UuUuzKJL5blS5ri6mTs6ySOnasiSpUJOia2NL1tiw\ncdZIpox4ulTk+rWdFMby1nSPnWp2HBlTilMjOfurIx4vD9DK4ELHsu84XM358PCzlAbsWnwcGGLP\nauixOuB8ZNWviB6GYaBxDYsuufc3XUePyy0Al0+HY2Ce3HgA1zsK0h/KjxeOw2bFu7v3mBQVvuyx\numTwA3vlDtHF1PytNfurA6blhJ16hgV+bf9Tfv3b38TKNZRmRtRpwPpRu2RWTDmyDW/P9uiGnlXf\nslvPqHNU7cnyiJ2qpnMOCOjcQTs4R21f0GEuXCkXmcX5VzfvAt8GyAVuG7mOD/OnRjnlWZHWkOwl\nzDoiButIEyHNoWxHmw2XOjfbfDms6/RYzCJzm5uHYoSqTMdVlCliOBrtmpzGjKMYtulnfhTMZp2q\nlDTltSDXr6vnMk1OX9ZcMHjHg8U+lSkorGW+WPJ4tc+TZk7T91hriGnUOP3QsWga3t29l3zPlOJx\nc8TSN7h2oHcDq6FhQXelbsaRp8trO8JxM4EG9ig4bBccdQvqcsLBasFOfYfPze7wjffe4W75NpaC\nqAd6HzhcLaiLkvuTPcrC4ENB69vsdVYwKybUZcmqW+HqGX1wFMbiwgCUye/MWno/MKsmdK7DeQ9E\n7kxmEj27QS5y5o9ijP/2eEcp9cOXuB7hRZz0NbvpaMpJKw+Xfc6OvWfzbZs7Ffs+W30UEIZ1vVrj\nkgWHVaBy7ZnXMHRJ3Gx42G4do7CaVGlIuialkSO5GaJIxx9CEnDGrqONIeYmCUlTXiNy/bpCrtvk\ntHUdVmlCjBy1Cz46fMDHB5/xZLmgLgo+N7lPN/TMmyVWK+piwkF7xKpvafqWxq1YNStWfUvXt8QY\n0Nxcf1IA9v2CqVdAwT0U3lpmYeBRc0h8AirAu7v3sKbgC3feIUSPB2KMKX1a1HgXeGfnLv3g6MJA\njBFrChrXE0KaguA2anx3ypr9Zs6O0uxUs5d61QnXw0WHpW/yhy5jIcJL2MaB2c94oOV19X2KHo2R\nIqVS2rLQ4PNtWKdATQSXU4XaJ/FpPXib6tJKUvHGNmY6Cwto6FyOoOXGjLJYR9HMhmgdRbUIsptC\nrl9XyHWbnPoQqMuaD558yqpbsehXdH6gcS1daFkNDQaDVorGD9ypdli2DZ8cPaQZBh4t9vn08DGe\ngZ6AZTuax1dEahyd65kVJUola4zWdYQYmXcNqDYNRLcFs3oCQdEODdPphHbocM6htaIyNfN+xTfe\neZsQwnEnpzXra5BSmr16hlKcyatOuB4u4oP2tRP3n1zecoTnso0Ds09aeWid0pYqpiL/kP3Nqmoj\nCtZnwRazDQdQT8HPsy+YyoPUc5H9pE778gGOFtsl0uoc+aqK7PCvcudp9j6r6yRQxxpAcfy/cV73\n69d1z1A8+Xrd0Kei9w3Oa3J6nmMwWhO8Z3ADQ/BMbE2lLVNbsd/M6dTAvdldVOg5aFq+1nzEYbug\nGTq6LNCWGynNbRBnIwUFvXNMQ2A1rKhtRdN3fHDwKaUp+Za332PeLflceZ9Vs6QwJXU5oS4KSlvQ\nDQN3J7sUpqB3AyFGjDGU2nLUd9TFDGAjWibpzG3jwu+GUurtGOOjy1yM8AJOM4S9aZPSZ3y5IpBT\nd10P0ac6shByXRrrmisX1iM4Va7jmncpfl9XUIRUWG9znZYmCaErGgF1bkqdGhkUOW1rs7is0rGM\ndWkxv28izraK1/H6dd3pxdNer3EdWmmqojzebhRaZxFeJ/fZDj2PF/tEpSm0YVpOnhr3VNuK+bBE\nG40fAt73uAh7kxm20KhocMExb1t2Jzus2iVGW2JsmLcLVqHZ2uqJSEy1dUrTdgOlrhjiwFGzZKeK\nPFg8xPk93r1zn0k5wUcPBFyI7NUzWuOobEWhDF55Dpo502pCVdtUhxf9M9EyGZK+XbzKJ8aPXdoq\ntoUQUh1VP+SC9y0K14xiaJObNikdU63juKHBp2hXlWdSxjwrchigG2dv5oJ4lT3QjrcF9qawM011\nZzrC7iQ1Gig4nuFZa6hv2Jh1rBuDZExbFrAzg71d2J0lQ9rgYdWuxzMJ28Zrd/06Lb04Ou9f1+tN\niwmLvsXna+cYnbHKJG+zmAr/xxmQJyNrm/scvGPRrlj1Pd47rDYs2ob9Zv7084JC5U7xSTXj83fu\nUxUV3eAobHotbRQFhqgUPgwcNEsWfbPVQ0s8Awu34snyiM63oDx7s9R5qZTmyfyI/faIg2bOsm/o\n3MBOmUxuZ+WMt3fuMgw9Hx58Rm1Lvnj3c9yf7gEaayy71Yy7k112c+RsFMcve4+E6+NVpPHrZV++\njTVem2yjSemmlYdzud4qe50VuWlgXKP36XaRW7YLm47HGLhzB5ZN2qYwqTatttDkLs/ZNIm8eR4Y\nXhrwSxhuSPhMSkCtu1Kns2wdYtMMTh9SPZ7J0cQ+W4WMDQPCNvB6Xb9Yj0ja5CpnKJ72enVREmJ4\nppbprLVp7dCnovcQWQ0tg/cYbVj2DWOdROwjk6LM46BWaKNYtEuc9ygUZVFgO81OUaeRRSGiUHx8\n9BDnPIerBUfNgiXb7bHYEDE4VFDYwXDUrqjL5Og/uAGt03EfNit2yylKaxb9gnv1XazR+BDRxnBv\ndofO9zxe7mN0gTWpk/6t6d5TrydD0rePVznrr1dYYBtrvDbZVpPSYw+0mMcz+SRQxtRnVLl7cUOs\nWZsaAgaXDWxVSgmGkOu5Qh4qrkD1a5uKegJ2WKdHNyYlXQu1TWvXCmyR7ld1WsjYxarVWuiPAlXn\nSGI/rLtvhZvm9bp+sR6RtOm0/zzn/at8vboo2a1mT2277JuXisfBO5qhxyhFYS2+DRw1C4wyVNYe\nz5Bc9g3TMo1y+vqjjzhojpi3K5z3PPZHBJ+K6d/d+xwHzRHGaNouOfgfdXMeHR2y4GqiipeNAgwG\nDyzbBQ8DLKoapRT3Z3foQ+Tx4gnfcOctZrrkYDWnMiV3mFIaS4gRayxH3QqrLT44tNIctstnas5G\nwe28O+721FpjlX7m/RSuB4mgjWxjjddJtrn7T6vctWhSeq/Lg8CtST8LrCN/sK7LMiptNzFZ2JBd\n932qQVPk96bI3ZA1LBYQd5J32jCkbU2Ro4p5puerzvI0imMnSUsWZMW6YUGROlKNhsokwenyBITo\n02uPUwW8X/8BsC2CX3i9rl+sRyTBWjxdpVXCeV7vLOKxdV12tU81UKU1ON/TR7g7ewdIlxitNM3Q\nprFMXUNhC8qioPEtu9WUSVmxaltKUzCxNXOWtH3LYbvi4cEBC5ZXcj6uAgf09FincShWpqUKJUYZ\nmr5P34eG/cWcR+xjVUFpjui9p3Utla0wSlNbS2FtFrgrlNJ8On/M3cnOcZ3Z2OQx1hFaYxicY2Bg\n8E6iaDfAq3xS/MFLW8U2sI01XhflJmrpxrSwyhGz40hTGgac5nNuMG5blin1VxapdsuMNhQ2eYtN\nctF9UcJ0kjo8i1z3pU126a+yCIppu0mRBGH2yz33R7EiWX/sTOCtXdi7mzoyyzLtdDqBWZXWEnw+\ntvxCzicvtxjWtiPjiCvnUx3ettU3vpm8Xtcv1iOSxvTi85z3b+L1alsdCzhY16ZtutT7EKiKkp1y\nglIKrQzWWpSCVdeyv5pz0MwpjMbHSNf37FY1nU+Cjqho+oZV11HbEhd6JsbShZ7BD8yXB+n2lZyN\nq6MlcMSKngHlQRuNNgoXBkqbRjodDQv6fkjRQtfRuYEYFauu4clyH53fkyF4DpoF06LGKP1UnVlt\nKxZ9m8qEtSbkyS/TYnJldYzCi7mwQIsx/p3LXMiNs1nwDuvbty3aMdbSRfIxke5ftSAYI2KjGBoF\n1OiLYXNqc5w7qXi6s3FM3XqfjW2rdTpw3O9Yb1dXMC3Tl8njlYJP3aBFFnWTMtXBGdJvuSHXE/Ji\nwTa+3Y5cV2fTYzofY2HSfM1yApNJWqfRuWOVtPNx9mkYH8tD0dU42onreU+E53KR65dS6ncopf6e\nUuqrSqk/cMrPlVLqP8s//9tKqd98Oas9O8Upxd/b8HpnEXNjlC0VsE+5O9lhaid0bmDRLvAxMC1q\nNCoF1gk0rudwuUwiwzmWfceqb7kzmdINgV9+8iExeJQxBKUJtzSzncZOeWxpQGkmRYVWBT44Wt+z\n6jq64OiD43O7b1NbQwgD1ljuTvZwbkgdscsDjFK0Lg1d32wkKYxlUpRYo1M9n4JZVR+PgxKunwv9\n71VK/WCM8U/l278hxvj3LndZN8C21nidl5uspTuZgj3r5INNUely/Ro5xVnVSSgpl9KI3qfh6uNx\naZNGSWmVnPwLgBxxG3waGTVG82A9+3KaC/oH1sJNV+l10RBdtskIqRbOFmuBZkwWZFnAxwDKps5T\npVL9XNTpWMbDNVnlabN99Y1vGBe5fimlDPDnge8EPgR+Rin14zHGX9zY7HcC35q/vgP44fxd4OVj\nmzZTpoPrebDYZ9Et2a1m7NYzrNFMijr9HRcGnI90Q0fvHYtuCSh26gl3y1myUCwMh92SWhU0Q0Mk\nUmLY7t7N52OxOOdxg8PZAgiEGGmHnq8/+YjKWL6hv8/9aheMYt4uqYoKO9nFh5TeLHTBrKzTQHmX\n3ovdakrIurUuylQqfE11jMKLOZdAU0rdBf408BuUUg3wt4HfC3zPFazt+tnmGq+zsk21dGc9nyHP\nrvR+7bYfIgx98hUzOU3qs+CpK2hJkbVaQ9nDYp7FkM6jpHwSTOVuinR1PbS5E0wrmO2k1+ma9DNd\n5OcXOTVZZJE+irJcY1fXSbj5kGrgtFmPdnI+CTdbpzWUOW3edSntWZRrobht9Y1vAK94/fotwFdj\njL+S9/WXge8CNgXadwF/KcYYgb+llLqrlPp8jPGTyzyO287zvLbGKNuiW/LJ/AmFNtyd7aFJNWch\nFsSwYlJNmTcrfIys+g50Eimta1gNLX7qiItDlq5FRc3SN+hoU0rvFpceRgK9D/S+Z9FG9uodSpvq\ndHVQuADLvuMXHnwtWY3oihAjnx0+BqW4N93DRce8XXB3eofKlDRDT4iR3Vw3eN11jMKLOZdAizEe\nAN+jlPrtwCPgNwH/w1UsTLggz5jHcjO1dM+Lnp32eIg5CpVTg8NA8kbLYrOwSZQB9LnOa2wuCAqc\nhtlsXbxvVGpSII9ZGsdMxTpHssi1bzl9qbI4G01xx8jWpF6vryqTIFMkfzOXI2jlhjjTZj0gXen1\nPNKqTAJtY7TKra1vvMW84vXrC8AHG/c/5Nno2GnbfAHYaoH2/vvvX9trxRjxMSSZlJuGImCUzl5m\n4IPHBY9WGp/HwsX8b4ruGHz0xBw9CiHgY4omDb5H59qqIThijMQY6L1j8A4Xr25WQPPxAQC//MN/\n49L3ndK6Kv/9qjHaUmhDIGK0wWiNRqF12spoQ53NgtOlRqHzOY4x5ohY8o+zWmO0wWqTt4+EGNbT\n6Tbem5OcZ9vz8JWvfOWV9/E68FKBppT6N4E/RfoI+2vA98cYfzL/+OeucG3CRdgGv7Tnecrp/D3m\nyJEnCRjNOjUbw7oTNJLSm1W5jsSVJehcmO9c8kozKrn6t32KVsWcSqyrHJkbIJok9Mb07+4M+hzZ\n2rVrWwzGqJlNAi3mS09VpNmgvc/1bDbtV+fzbHJxm87RPpMFmrUQzFrQbYuH3RvCNl6/lFLfC3wv\nwHvvvXcTS3iGq/qgPbnf8ftmCYbK2xiVBQIkIUFMIi0GYow4P6CUyRaEGhcdlS3o3IBVht4PhGgI\nMRByrCySUnRJqN3O+jNIUwU06T1RJFGldPpjUpHOc1Sg0Oh8rVQoQox5sl5EqXgs3iLj85Lg3UQp\ndfxevHBNG2Jb5euajwHD5fzuCGeLoP0RUt3FR8DvB/54/i5sI9tQS/e8Orh+SNGopwZq5kiSC8mm\n4riL02xMEdi4sI7HBykFik/pRKWSDcZOnV7DhRQh8wFilfYdWJ8HpVLkrI65WaGAVZNSlEqnJodx\n0PlY2B98stRQOQ2qcvdo22cRGcHFdRPC2Khx8j0Zf+g86PB6pNa3l8u6fn0EfGnj/hfzY+fdhhjj\njwI/CvDt3/7tN64a/vr/+r8cj1c6mdZ6lSaDtTN9oA+OwTkO2wXfsHvvmXmdg3fcnewCMO+W9M5l\n09rAolvy2dFjFv2Kb377S+xVM1wMfHr0iElRsb88pPeOX3rwq4QY+PqTT1La1Fo+OXrI1x9+glHw\nuH1ype5nY+Ts1/27v+1K9m+Ae8UudVnzxfufp1CW1TBnVt1hmrtf70xm3Kl3KYzly/e/kbZvsbpg\n5XqsgspW3JvdwfnArJxQWstb0zvpb9Zzep3Nu+Wp9WoX2ZdwOmf5VDiKMf4/McYHMcY/QqrFELYZ\nrVPkpsy+XWf98L8se45wIsUK6X7XJ5GDWltTOJceL4p0P1UAr59vLMcVrOMax3XZMtWEKZ22s3kK\nwZCnGow2H4WG3Wmy8dgs0I8ud4CqJKCm02ynkS01xuiZtet1HItOknAbJyeYLEjdsK6pIybx1vbr\nrs0QuZEu2zeXy7p+/QzwrUqpb1ZKlcDvBn78xDY/Dvye3M35W4HD21B/dlUjolrXEWOazxljpCoK\nSm14uNh/yqD2ZBF6bavkw6U1y75l0ac5mt98/wsQIquhoxt6tFLMuxXNMOCDY2JLYozoGGmGhkW7\n5PHyCUNwGGsxFJSnLfSW4IEYAjvFjImxlFazV+2xaOccLuYoLCpqvHPMiglNuzquudutau5UO2ij\nafoeVGoIsHmG6qbdyZnXc+J9S0bDDU+WR8y7pYyIugTO8ufR53NI/v8D/i65T054zbjMUVfPq4Mj\nz98MG+m+UZgUJkW6fGBtzWFzHdeGqNpco47pT4zjbskNgWRMtuDIYknbJMjIr1uXObVKGh2lLeCS\nONOadQ1cTpQYk54TWfubxXxcZbGuoxvTqINL3Zx6FJ0kmw0Ux2a843GMxyZRtKvgUq5fMUanlPoB\n4CdJwYwfizH+glLq+/LPfwT4CeB3AV8FVtyS5qmrGhHlQ4qcabUWfzv1jCfLI1Z9w95kFx8Cresp\ntGR31JcAACAASURBVOagmR83DexUEx66lllZYxTMqind0PFr+5+ijebedI8QA0fNEqP+//buLUSy\nNUvs+/+77Wtc8lbn1OnucyTPuNFI0IM9CCPsFwuEPSMM4wcLLARCsoUvuhj8YLDBRn4xMvgiMB48\nSEgIY5ANfhDC9IyNjRqBQbKN5NEFjeTR2N19erpPVZ3KW0Ts6/d9ftg7sqLyZJ7KzMrMisxcP6hz\nsvISsWNH1I6V61vfWpE+KvI057BesV/u8vnJC+q+I/QKFeF4eUrAP9AmG4MJKdY5XOo4qWpQMM9y\n5tmM1Di08ljl+GT3OROXclwvKBKDImK1IwSP1ZrMOow2tH3DXjm/caZ0s/lw53uWTQ1E0nEn6KKp\n7rQP31NwlTP3p4HvAH9o/P9EKfVd4NeAvxNj/Mt3eHzivtxme45L6+Dsm8BFje0pWj8OTGcIyOiH\nujDGpcLNWq3NYxwbU55l4/pxWLuKw0goo9/Uuq0DRreuq4jDz7txUPsYN6LdEHStd2mq8fvWAaCy\n4zLs2ITWj6OcinGHU12Ny5Zj5GfGrGDfDm061oPjXfLmGNZjoCSDdldu7foVY/wuQxC2+blf3vg4\nAn/iNg76Pt3ViCijNV3fk7o3MbFWit1igo+RzvdDbVQEo+3Zcazf2AuX4TLLaWPp+57jZskkK+l9\nx7KqeLU4Zp5PqLoaqwKTJMdqRRU8hU1Z1EvQ0PUdgR6DoeVh/jvLUENz2ahZ1RWdbijSlCY4drMJ\n+5Ndnk92meYzPpruUoxLmZlL6UPgpD7ly+qE3KXMspIyGc7v+XFP1zqmjR2fTd+wvmbnNpE5nrfk\nKmfu7wJ/frz4oJT6FsOF7mcZfluUAO0xuM32HJfVwVnz5vbWwZNTw/IgjEuSdgh81gHaZv3c5jFu\nZqCiH4KeNEIXhoxY1w8fE8dMlhn7lG3UoJkxOFIMAdR6dmZY15GNt6/GvyvG3ZzdGKiNj8n74Q/q\nzTD0Lgz1aNGPgeP6cWxkF+O45Ll+vP3GbldxW+T69Q531VohsymRBV3fn40Z8iGSuYzEDg1uT5sl\ndtyFCBBjYNXVLNsVWmvSkJDbhM8XRyzrFVobjIpEHSmSlNRZnC1puo4QGFpPGEuWpiy6mkVdkVrH\nsm+oCQ8yPNNASkKaDIPOrTHD7lY1/AJYJBk7+Zw0yWl9x2l1SudaDsodyrSAGKnaiv1yj91yQm4z\nFm2ND4Eu9jwrd28URK3botR9Q911pG54rux4W7eRhX3qrvKs/GHgl5RS/wj4VeBXY4y/AvzKnR6Z\nuF9Xac9x1cazcPHXtBlecTFytp8rsZwtJ66DpXXg85Wf3wxuNgKpZJwoAODrISDSBrL17sl1TZgd\nf543wadSb6Ye+PZN5m19H3Yc57R+/Mk4jsqNwWLfQzsOSVd6CAz1eOxtM9bAjUutfmP8E+MSadcP\nAaC1b+rRbrKsLC4j16932Hyj7XyP0fpWlqacsTwr57xaHdF0HYkdWj+EEOi856g65bRZMUsLQNP7\nnkVboZWmC5HQ9/zk+EusNhxXJzR9j9WWWV5yUp+SJimLegXAb528pGqHWjeFhqCG3+2MwliL798M\nE2nf+4zdrwB4AlXTUWYGHwJlknKQz/h4vofWhmmaE3yHMW6Y7pCVJNbhx+HyAdibzOi9p+objFIo\nFfE+vNdS5GbzYWlwe/ve+YzEGP9tAKXUzzB0yv5LSqk58NcYLnj/e4x32FxG3I93tee4jRo1q99k\njs4Cso0M1bt2nZ4/xtCNbTo2li6NHgKms0CLYSk0+jGjNVahmDGYUmrIbimGIE8xZvfimxo4YzYy\nXhvHeFbrtvHyd2OWzI9LrmZczg0bo57MxgB1M25wOD+BQS5st0KuX1fzri7/N5UnGc/NwVlj2hgD\nXnGWNTNKcVwvmWclVd+e9T6ru4rCFWTW8mV1SogwzQpQMElymq5hUa84qhc8m+xSpgXH1RLf9+Rp\nzuvVEYlJSFRCjEsSHIFAS8dYSPGgrIv9tTLslDPmaU4fPKu2JbGGul2yP9mnjxFrHBpYNDWJMWhg\nlhbEEPGhxZkCYzRN15EX+Vujnm5KGtzejSs/IzHGX2cotP2zSqkc+L3AHwD+S+B3383hiXvzrvYc\nt1Kjpt4s5+kxcFFcfafp5jEOn3hTw3WWhdNje44xu8V4H2rcpLD+Xm0gG7NW69YaWfL2VIN1lmt9\nHy55+zjX9WbruZsw3G4YH2s+ZtvWs0fPdnza4bbO6tU2T5HUo90FuX59OJvB32mzHLvXDK/7Isk5\nqVYs2nrsv6ZYNTV5UtCGntRllH7cldhVpCalCS3WWg6PTvnW/BnLruGkWrBolvQ+8JPllzTjL5M9\nntQmOKOoek8Setq+pX8g455KHKXL6MNQu5e5jFk6BFUdnkDHTj7jtG2w1TEH02d8XO6y7BtWTY3K\nUpxJqNoK0GdNbaumYeUb8j5FEdHKvFdrjLvKwj51Nz17f3ycZffd8TdT8Rh83ZLl+9Sordt3dGMj\n2LOfG3dAXidbdNZXzA5/2m4c66TftK1Q4+5J5cb6L4b7jWy07xhvY318Zx+vNyCst3iqjd5sFxxn\n0w392ALjsmwc6tOiHoOzONafqaGYxNk396U3MolrMmHgPsj16wPZ3DHa+566b4kEFvWKxKWkxpK6\nhNQ5mmpopZEajTUGGyw+9lRdwyQpeFbskLiEz09fooHc5XjXsahPKZzlxfI1RZLTth1BRYJvCN5j\nVIqLHR62uibNAmVWMEknNF1N4ixKwXF1QmFznLXspFN++/43WVYNeZryjfkBaHDaolXL4eqE3WKG\n1orcZUDktFpS+5aDcpfMJXR9j4+ezvfvFVDdVRb2KXvfWZy/BvwxHsh2cvEebjpCar006sObhq8x\njrsa4a0mtNdlzZs2Fuu6OGPe3J/Sb7r9azO24tioYbvoMWw2ln3X4wphyAhas9HPDFjP+1xnCuO4\nYzMwbDLYvK8PPfXhCZHr14e3Xv6KMZzVm6XW4YzBGoeKw3KeD8P0gdZ7pumUk2ZJ0/XMsoLUZaTW\ncdrk/ODwxyyqFU3fcFDOOKxOSdOctm0pXI5KFG3fsmwqZllB3fe0TUNBRkNLQ9ja1hsR0FER8Dht\nWXQtu6kjBk2SZHxzvs9eOccoi0s8Wquz0Ve99xij2ct22M2n1H0HMTBJS1rf8Szbo0hT/Jjdn7hM\ndlxuIZnFKa7mpsHEeml0+EHOuuwHPxbgv+fvsBduRlBDHVrbAWM7Dj1m1dYNZH0YMljrpcfr+kr9\n2djGQ4+1aW89vnFTwPnaum2Y+vCEyPXrw1vXKq26ehgnBfgQKdMcrTR98CREvlgcQgxorYkxQaPI\nnaOLPbOkxClDQHFcLcnThNN6wYvlMT70fFTs8aU65mC6w/FqRdU1KK0wUfOT09coHclcTmygpv7Q\np+RSe3bGLCtZtA1dPyzJzl3JZ/v7TLMJmUuYZhO60GGVRhGIBF6vjinSnGlSDjVoWuO0QWnLwWQX\ngD4OQZzWmonLscbKjsstJLM4xdXcNJhYL42ua7/WS5zrjQJ3tZynFeTpMI+z698U/p8dB0Od2XWX\nWNfWj+ssuBsfx9n9jI/ZnNul+pXjXN93eHsMlgRpt0KuX9tlXau0bFfDdEmtKNPsLHPT9C3WOL4x\nO6ANPaumpuorjLHM88lZG4fPj77AasNH011WdY0P0IeG3KY0oRlH5GomeYYzH/H5yUtijOyHOZVJ\nWHYr8iwn1nC6ZUGaA6Zmyu5kSh88oW9xzmLR1KGljT25ychsSuc7IsNmAdTQkDaxCXHMUqa2OMuS\nJXo4x6lLSO5ox2Xn+7MNIeumw5KVuzmZxSmu7iY9utZLo1oPAdFGfHRny3mbGxoUQ91X07wp1ld6\nHKS+bvdxA1/3uLR5E4ytW3bosSbtomO9rQkO4iJy/doybgy2LmrL0IWe1CYYbdFeo4i43rJol1R1\nxXFcEILnN1/9iGlWMM+mxKj47fvPOa5XLJoFTln2ihmgcWlJNkswWrFqW4okY5EuYRGpmpYyzaHZ\nniAtAXIyJmlOVEP2yzhHnuTM0pL9yS5TVxKJnNQVhIixjgh8XO6SmITTZkWMOc+m+wAopcjNMJsU\n7m7H5Xr2qtEaN46QkmkC7+cqZ+0kxvi3x4//I6XU37zLAxKPzHppVKk37SV8HPqfXdTr7Dac39Cw\nnsmJeTuL9T47Jr/ucWn9dpC4Xg6+6LHe5gQHcRG5fl3RfWY/LgsSknGiwHp0kNEKozWLuubQnzLL\nS3rf03QtCvh4tk/je1JrWbQ1VlkOprtjtihANLyqXjPNZjzfyem6lpeL10yyku+/+i1a3zFRGb4O\nrD5whzQDpCondRarDb1vmWYTPprOh31L0aM1HK6O8X3HZ/vfILUpfexITcI0L8mSlMQ6tNJngfD6\n3A4Zt+E57kNP1fcketiUkVlH3Tcs2+pGz33ne14uD/E+4Kx9q2Gt1LbdnMziFHdrc2l0PUYpveNu\n+RdtaLjI+yyxvutxrXeDXrYcvP5a07752vrr0mrjNsn16wruO/txWVuGdYDY9A1GK7TWLKoFmdWU\n6YxFfYrWljzLOKoWpHVKoi116Nktp/zOT36KnbSkD4FXi9eEqFi2FfkkI3hPFyOnTUVhE57PD3i9\nOCESKNIpL49f0TFMHLivjQMFCT0dgcjMTZkkOZEIRlHYhOA9dWix3nAwnROjoguBMp9RJgVN7OhD\npNSa02bFsqmYZiX7kykxhrfOLXD2HBdJdha4WWWo++7Gz/36teN9IHVDc9xFWw2jt6S27b3ILE5x\n9+57fNFFGxqU5q3lzNvYMXn+ca3biWxOWrDvWNY0ZjgO79/cprTauE1y/bqCum+GxrHj6/k+Zile\n1pZh0VS0vT97s29Dj7MZmUtYNEsS4/jG7BmpSWi6lkWoUDHybLrLxOU0fhj7VKQ5Bo2f7/Hi9DVt\nDGhtOCh2qfqaZ8YRfE/T9+wVJaXLeL06ZlVX9KHDE+lp6AGDor3lsM0AmkBGirWOzKVDq0jvmZk5\nO5Oc4Ie2JEmaDCODteLj+TNmSY6PPYk2pMayaGqO6yUfTffH4MtTJhk7+fTs/oYedF99jg/rUyZJ\ncePnfv3aSawhrGvZAlR9S6H0rdS2PVVXmSTw5zb/LrPsxNa7aENDcu6lvt69eVsXj+vUkm0ua2oz\nBHVq4/PSauPWyPXrajb7k619iFmK68xa1dc0XYezlllaUncNXf9ms4/Rmp1iSu9bVDSgInmScVIv\nSYxhkk9QLVRtxSQtSV3Ci6PXfL/+MWni+Gz/OR9NhsDtH7/8AZ7IbrnD/3toeX3yJXXIsSqwaFJO\n+pM7yanN9ITEJmgCPkZi72lUz142ZW9a4HRKmSb0sWdR11iT83x6gNWK1neEmLOfTvjhyQtWbc1O\nPufjyR6t7ylsfjZ9YO3S57jvMZn+6uev+Nyvbze1KcumBoYgrek6vJFpAu/j2r8axRg/Bz5HZtmJ\nbXZZ1m697GlvOStwnVqyzRq59YD4MA5ct0ZabdwhuX5dbF0HFuKwvOjDsIEmc9m9H8sww3P3bDku\n2kDbd6y6GmtTTpslbe+ZZgWZzXHG0AfPfrnDXhE5qRe8OH6Fc5bEJjR9g1KaaVHyqf6EMs0oXIbW\nhr1yCnyGJ7Bqa46bU8o0x2nDy9MjFvVPcBgUmoTAituZCpaTMEtLXGaIQXFSnxJ7z3w65Ru7z0hd\nBiqyaFZM85JP5jMmeUaqHZnLUEBqHK0PzLIphc0x1qKNpkxyijRDnyvxWD/H5zdmOGsv/PxVM1/r\n23XGUqYZTd/QdB3GyDSB9yVnTojbcJ1JC+dr5PQ4D9Sa2w8chbiCzKYcVqfU42xHpRSd93j//h3m\nb2KzRi1E2C2mZDbh8+MvcNpSljmJdtS+Ax8pkgyjNb33+OBJbDK03Oh7XpweYYyisClWWzLtaL3H\nxjCMkso8Vhnm+QRF4MfHrziql5iomeUTst5htCE1KSftKYfNMT1Q4FjeYGTUjJzSJdSxwfU5u5MZ\ne2VB3fohsDIWHzyZzdGZo+06Eh1JlCN3GUor+jBsGDDWUhjDdF5Q2JS9YkaZFkOAdO56dNnGjN1s\nbGTLzXZ1bt6uMxatNMmYOZPg7P3I2RPiNlxn0oJMEBBbxhmL05rOaEKMaK2ZZyVKvf8g7bXr7hI9\nX6NmzZKfdp9Rdy1GK2KMHK5O+NHRCz7dfU7vPVVbUXc9ZZJR9R3OGDrfclw1NEnBNM344fFLCueY\np1NwMMtKCpvx/3z5fbRyFGlG8Ip+0hF0YNVaUmvwKLKQMvNTnDK4xFFUNU3wrFhd+BgUw64Uhxn6\nvmHYKyZ0ytO2PTqzfDTZpSWg4ilaDd8TVKQLHZM0pyinOO04rBdUvub5ZH+c/zs0+i0SR25SUuvw\nIbJqGqq+wmrDabPa2KmZXjov0xp7ozmab57TYVeo05bMJRKc3RI5g0LchusEXTJBQGwhpTQ7+eQr\nn7+NOrTb2CXqQyBzCUZrls2K42ZJYh0fz/ZRSnFcnRKJpNbwujplWa+oQ4uzlmdJAQoq3zLLCgiR\nnkhpE2b5hKrr2M9n/KQ7JHUZbRo4sHvUXUv0EJVHB4Vzjn2XMMkmw3jfiSexli8Xp/xjDJHIXGX4\nOE6WA2parEmZJBnaGpzJqKsFuXVY43i1PGSSlSTW4fueIsnGCXaRg3IHoiJJhp5oZZIzLSYc1wuU\nAqcNXd/T256uh35sVbJTzAjjNaiJ3TClwQ9ZrYuGot9kjubmc5onGclGOw8Jzm6HnEUhbsN1g677\n3tkqxDtcVqN0G7vwbmOX6GatkzWGvXxGBFKXohl2aR+tTni5OOTl8pAiKYY2Fb7ny/6Y0uaUSU6Z\nFRQu47O95yilOKlOUSEwy6f84OgLDoo5ZZLzenFMZlOKecbr5TFFkjFVOTNXglF0XTd27zeULsca\nQ4iRSV5gMZx2DXjPXjKnyHKqqoLWU7sleVpgx0HwTd/xzDpSlzJ3E4zR45zMyCyfkBo7DIsLCzKX\nYLF8VO5wWlV8WR3x2c7zccPEMOrp2WSXqMLYetGc7YQtvmbe5k164H2Inb+36SFMPdiuoxHiIZOg\n623rYHWz7Yicn611Vx3m4XZ2iW4enw8RpRQhBmZpQWRoz3FYnUKMzLKSumtZdhUESJSlCx2BYQxS\nH3tO6wUB+OLkS1KbsptP+HT2jMNuWBZsfMsne8/o25beexKdUGQ5msCybYdAL8npu8iX9WuyZGgE\nm7ucIs3Ju46265iUJaVL+X77I5qqI9EJqTFEFWj80Cy29/CsnLFTzpjnE9q+I8ZhybDMclZNzcfz\nA+bZBAhUbc08L7HaslfuMM9LUptyWq8IKhJCxI7Z+3Vt3mXn+6bZzW3Z+XsTD2XqwfYciXh65A38\n8ZIRVg/OZc1jb+MN6yrZuXdlNN7eOBBQ6LNmqDBcQg7KHaKCVVPzGy9+iFaKHpikOUZbpulQVzdJ\nSlZtRR/AGUPuUvoQmeVToo60pmcvm+HxLKPmZ59/myZ01L7haLFiJ5/yxeI1rW/Zz+f8zPS34fTQ\n0/Bbe58wSTK+WLwmMwn7+Q5trKnaj6jTJSFqUpugIjhr2C2nnLQLZnkJEVrfkrmMebqHNpq9Yoc6\nrSFG+hhp+44QFEbD3nTOR9O9s/OUWEPb92c9yfR43vUF53/tppmwu8y43rWHkv3bniMRT4u8gT9u\nMsLqQbpJLdJVvCs7d9WMxvr41ren1PBa8iHQ+p5JVlJ3NTvFlJ969k1W7ZKXy2NSm5C7BK0VVhmm\nWcFJtWCa5RRudxg2TiBPMn5w+AWN7yjSHB86MpuSJo6jowWd70hTS2ISMpswy6cUrqCjx4dIahN+\nx0ef4bRmvxizYd5zuDrk5z7b52i15MfHL0ldQu8DHT15kpLYZMjSOUdqE+b5BIPis/nHJGlO3Ta8\nOP2S14vXdDEOu1pdSqrTt86z1Y4Gj9WOumvxYeixmJv00mzoTTNhd5lxvWsPJfsnAZr4MOQN/HG7\nTtsR8ei9Kzt32qyouxpQGK1IbYrRl+8gvej25lk5DOWInqqthywViqb3TLIJ++WMRFuO6hN674kK\nZlmBNQZrLEfVKZVv2CunTLIJr5fHnDZLnDK8WLwmdxm7xYzDekH0nk93P0ZjyJzluFngjCGxCd+Y\nfYSxhnxxzKvVEbvFjBBn9CHgtCNLcnJnWbUNBMssnZC74VgzkxCIlEmO0oYfnnzBTx98RmItSmv2\nyjm7k10y60ANlXertmKeT4dMmdI8K+f00RPiMHw+0RZn7aU1VjfNhN1lxvWuPZTs3/afSfE4yRv4\n43adtiPiSbgsO9f5npNqSeYcWmtCCCybmjLN+LoG/udvb52FmyYFRhmO/Ald6PnWzsegIsEHWjrm\n2RSrHWWanzVzVUqRWcuqsRyUu1R9x0E5Z7ec0bQrXq1OmCU5ZZZyUOzw5eoYpTUher658xHpaUJq\nh+AqEiAqjLVMkpLdYoZWmsPlER/P90FD3fTM85TcOT7d/wafH31BbjN2yilEeHHymt1yhjaWxDqO\nqiU7+YTMpYQw1JO1vadXEd2rCwOk9W7N9dLxZYPQ3ycTdlcZ17v2ULJ/D+/MisdB3sAfN+n1Jq6o\n7huctWexmNYaCKzaYfD3VW1mdCZaM89LCJHDeknve8CjlB12XpqhDmxzGXD4WqCLkapdYczQ2sKY\nlIPJnMwmY58vBxFe1odYDJO0wMWhxYZGYbSh9z0+djyfH/B8tsu3Dz7l17/4/zhuluzlUyrXUNiM\neVFyVB3jvSdxaszgRJSGL1dH/PTBN9Faj0ObPL33LJqK3WJC6hxV06CdpUwuzlxdZen4IWfCbuqh\nPObtOhrxdMgb+OMmvd7EFfkQmCQZi3bYcWm0JgKt78ls+s6f/7rNBafNkHk6v5TlQ4819q1lQKUU\ns3TKj06+QCmNVsOcyt53PCt3qHxLZhLQGmMUB8Uun+4+59lkl9fLI1KbYJTmoNzhsDphXsx4Ptmn\n7lvyNOfT3Y8pl8dUfYdi6MlGBKccP/fpz7CoV1RNh1c9TjtiaJml02GaQ2hZNA1tWFKYFK01bd+j\njWKSXN4+46rF8A81E/Y+HsJj3u6jE4+XvIF/vceww/UhHrO4d0ZrYoRJklP1Q0uLCMyz8p1voO/K\nEF1WDB6iZpqWZDZ9K7hb6orCZrQxUDc1qMhONiVqwyQtKZMUD3xc7hCVhhhYtCt2i9m4/Bgo0wwf\nA4mxBCAQWdQLqr4jTwu+/ezZMH2gWRJQ/ODwx4QQ+GTnI5p2yWHVUeYZe+UztFYc10uMtqTGEHwA\nBaumwhrDQTEndcmlxe0PpRheXEwCNPHhyBv4xWSHq3hC1vVARmumaXGteqB3ZYi+rhj8ouBORcX+\nZJfD6pTUuKHw3yR433Mw3Rvbdbxds7Rsq+G+lMZHPwSbacHR6pgYFYk1rJqW1Dq0MrxanqCIHK6O\nUNbxrJxxXC9ZNRUHkz12il0Uiv1yl0W75LRZoqJiN59Qpp4+RFLrOCh3sOarg8433UUx/ENo8PpY\nyFkVYtvIDlfxhLxPPdC7MkRfVwx+UXCXpxmKyMFkh6Zv8CECkcxlTNOCum+o2po2DE1kh55skbpr\nx7ozT9W3JHoYvt55j9OOj3f3hs0Q7Qrf99R9T+oyEpeyU0zIXMar1QmvFod8Y+cZz8s9Fn1N7z0H\n5RyrHVorUuNo+p4Qw1lw9nXB7E2L4S8Lwh5Kg9fHQs6ouH+PYfnuLskOV/HE3LQe6LIMUYiR02aJ\nD8MiYx8iIYa3gr915mvTJMk4rE6ZKM0kLd8KaNbf2/vAxCZn9920LYtuRR8CRhtKl9J5z0G5Q9W1\nKBXZKWa8Xp1Q2JReO16cHrJTTGm6jhcnX7JXzvmmTThtKzKbns0ZnedTrNZnjWb7OMwjbXx7pWD2\nJsHv1wVhD6XB62MhZ1Tcr21bvtvGYFF2uApxJRdliOq+RUWw2pwFGD6Er+x0vCi4U2rop6YUFwY0\nFwUoQQ1LjsNep2GHaOZSfPRDYOV7Ot9zWq+wWrPqGlDgY0DpSNXWdH7YrWrQJMaxaCsyl1I1NSeh\nIUYATx9gr5xxUOyQJ9mVztF1g9/zjzHGwKqrWbYrIjBLC96MgpeatrskAZq4X9u0fLdtweKa7HAV\n4kouyhA5rTHavjPLY5Xh5eoYBThrx52cQ+bssoDmoiVVBVhtccbhgye1GUZrmq4jMQabJKzaitQY\nTpoKTeTZdJdV01B3DTv5HKMMfejZKSY4a9Et9N7TxZ4QIl0ItH1DNw49fxmPeQZXDtKuY/Mx9r5n\n0VZopYnjQPrjesk8K89GbG1jg9fHQs6quF/hXGYIxuW7r+lIeWfHckGwuA1LiVqDNcOVP4TxHUB2\nuApxEWeGGZs7+fRs1ub5gGGdLVsbaqw6yiQjsYau71l2FZl1V5o/uSmO/zXjUmSMgaZr0SoySUue\nT/bxMeJsgg89hcuZpROcMpw2Fauu5qRe4EPEKM3r5QmByHG9QCuNj4HMOIyx7BU7WKMxSvFqdXSj\nzFXne06bJUfVKafN8iu3sfkYq75Fq6EPm9GKIskhKhZtDXCWnbxKOxRxfZJBE/drm5bvtrnWaxuW\nWoV4gK6yc3G9jJdoCySQMtZ4+a/c3mbBfIyBLgSyjRq0RFuiWmfSDHmS0/U9s7xkmhY4Y9kZd3dq\npai6li70oDXf2nmGRhOIhNjT9D2pc+Q25bU/wQZP53u0Gna4ptbR+Z4ytTRdd+3ar6sU+W8uG4cQ\n0ErhQ6RMM5yxzPKCRbPa6gavj4WcVXG/tmn5bpuCRSHErbjKzsWr9ge7KKDpfUsf/Nmmg51i+tbP\nzLLiwnFKh9UpIQZ631F1LZM0ZZ5NafqGk3pB1XsO62O+lTwncY6sdfQh8slsn0VTk1qHDwGrh3FY\niTVfyea9y1WK/DeXjX0MgKLcCMK00szzydkoKXF3JEAT92ubGtRuU7AohLgVV9m5eNX+YBcFXE4z\nQwAACxxJREFUNKlLUIqvBChGD9eNywIXFcFoS5kWrNqaEKEPPdYkFEnBbpmwamsa36HbISiquobM\nZZw2NXXbYowitRk+RDKXXLv266qB6XpjwTrY1Uqf/fw2zqx8rCRAE/dvW5bvtilYFOKOPaUGo+/a\nuXjV/mC31Ym/7htSl1Dooag/sQ7vPVXfMHEpIVravidzKYVLUQpyl1MkGdZYdrKSo/oEqzOcMUNf\nNKWvXft13ca1D2Vm5WMlZ1k8bdsSLApxh6TB6NuuGnjcVif+84FebhMWoaLpWgqXsWxrXp6+ZpoU\n+GKKNY7EpGc7Sqdpyf5k570D7Os0rj0f0F82kF3cHTnbQgjxyD2lBqNXzRRepT/YTTvxn3c+0LPG\nktuUE73gxekhfQw8n+7TxcDr1SlFmvF8unfrA82vGphKQL8d5EwL8RBtY4NdsbWeytDs2w4srhPQ\n+DAMeT9tlhduEjgf6Cml2S92+HJxTGkMzlrSEEhMQu5S+ujvZFn6KoHeUwrot5mcaSEemm1tsCu2\n1l0Mzd5GVw0srhP4vCugWQeFAEopYuQrQeFlgd6yhSLNCNHTe4/RillWDMfctfQ+fJAs1lMJ6Led\nBGhCPDTbNI1BPAi3tVS37a4SWNx2lm0dFK7/HV4WFF4U6BmtscailTv7uRACIQa60GOUZtW1Qz+y\nsW/bfWSxnkpAv+0kQBNPyve+970PfQjvb5sb7Iqt9FR2412nSe1tLN91vue4Gjv+B3/WjuKq2abM\nptS6peobwKKAtvdkSUIYd3lqpbFm6HlW9Q0hhjvvQfZUAvptJ+GwEA/NusHuJmmwK97h/Eikxxac\nwRBYrIMJuHgU0UWZoItGOL3LOhOnlEaN2TMfwliPdrVskzOWnWLKNM3pg6cPnkmWs5tPCSpC5O1A\nMkIb7n6ZcR3Qr4fGK8WjDOi3nZxtIR4aabArxIVus0ntu6wzcZMkY9Gua9Bg1VbkLj/LNr2r3s0Z\ny24xZ7eYv/1YtKUN/dnyZghDV3+n7+dt+zZ2jYr3I2dfiIdGGuwKcanbalL7Lm/q3TSTZPzZCD7G\ns6DwferdMpeglaYP3dkGgswlJFbetp8KeaaFeIikrYYQN3Jb9XibmThr7DDqKUZ28snZbb1PvVtm\nU3ofyF3+ViB53ekB4uGSAE0IIcSTchvLd+czccRIHD+/9j7tKp7Kxg5xOXmmhRBCiGs6H0ABGKVv\npd5NxiwJkF2cQgghxI1s7ow12pzt5ly7yq7S89Z1azEOt79ufCtNYp8eCdCEEEKIO3CTdhUX1a0Z\nran75r4OW2wJyZkKIYQQd+S69W4yZkmsSQZNCCGE2BIXNc2VMUtPkzzjQgghxJa4Sd2aeJwkQBNC\nCCG2hIxZEmvyjAshhBBbRMYsCZAMmhBCCCHE1pEATQghhBBiy0gOVQghhLiG853+pYBf3AXJoAkh\nhBBXdFmn/xjjhz408chIBk0IIcS9uSj79JAK4i/q9A8QYsAo8yEPTdyibXidSgZNCCHEvXgMcyYv\nahprtEbyZ4/HtrxOJUATQghxLx7DnMnLOv2rS75fPDzb8jqVAE0IIcS9uCz7dD7g2WaXdfrXSt5O\nH4tteZ3KK0oIIcS9eAxzJi/r9K+U5NAei215nT6cykwhhBAPWmZTFk0FvHkT9CEwSfMPfGTXI53+\nH7dteZ3KK0wIIcS9WGef6r6h8z1G60czZ/J73/vehz4EcUu25XX68P9VCCGEeDAk+7RdtqGdxDba\nhtfpw1n4F0IIIcSt2ZZ2EuJiEqAJIYQQT9C2tJMQF5MATQghhHiCtqWdhLiYBGhCCCHEE7Qt7STE\nxaQSUAghhNhSd1nEvy3tJMTFJEwWQnxVCND30HbD/2XJQ4h7d9dF/Jc13f3QuxfFQJ4FIcTbQoDe\ng1KgNcQ4/N0y/F0IcS8uKuJff/62gqhtaCchLiZXWyHE20IYgrP16Jr1x5JFE+JeSRH/0yYBmhDi\nbSG+Cc7WlBo+L4S4N1LE/7TJsyyEeJtWw7LmphiHzwsh7k1m07PCfeDs48ymH/jIxH2QAE0I8bZ1\n3dk6SFt/LL+1C3GvpIj/aZNnWQjxNq2HK0MIwx+twBgJ0IT4AKSI/+mSZ10I8VVaS0AmhBAfkFyB\nhRBCCCG2jARoQgghhBBbRgI0IYQQQogtIwGaEEIIIcSWkQBNCCGEEGLLSIAmhBBCCLFlJEATQggh\nhNgyEqAJIYQQQmwZCdCEEEIIIbaMBGhCCCGEEFtGAjQhhBBCiC0jAZoQQgghxJaRAE0IIYQQYstI\ngCaEEEIIsWVUjPFDH8N7UUq9BL7/oY9DPCgHwKsPfRDivfy2GOOzD30Q70uuX4+OXFvEVVzp+vXg\nAzQhrksp9X/FGH/3hz4OIcTjItcWcZtkiVMIIYQQYstIgCaEEEIIsWUkQBNP0Z/70AcghHiU5Noi\nbo3UoAkhhBBCbBnJoAkhhBBCbBkJ0IQQQgghtowEaOLRUkr9vFLqHyqlfkMp9e9f8HWllPqvxq//\nHaXUz32I4xRCPBxyXRH3RQI08SgppQzwS8AvAL8L+INKqd917tt+Afj2+OffAP6bez1IIcSDItcV\ncZ8kQBOP1T8D/EaM8TdjjC3w3wO/eO57fhH4b+PgbwA7SqlP7vtAhRAPhlxXxL2RAE08Vt8Efrjx\n98/Hz133e4QQYk2uK+LeSIAmhBBCCLFlJEATj9WPgE83/v6t8XPX/R4hhFiT64q4NxKgicfq/wS+\nrZT6J5RSCfCvAn/13Pf8VeAPj7uufg9wHGP88X0fqBDiwZDrirg39kMfgBB3IcbYK6X+JPA/Awb4\nizHGv6+U+rfGr/8y8F3g9wO/AayAP/qhjlcIsf3kuiLuk4x6EkIIIYTYMrLEKYQQQgixZSRAE0II\nIYTYMhKgCSGEEEJsGQnQhBBCCCG2jARoQgghhBBbRgI0IYQQQogtIwGauDGl1L+plPqJUur/Vkr9\nplLqj9zibf+yUuqfu8v7uObx/EWl1Aul1N/7EPcvhLh9cg0T20wCNPE+vgP8xzHGfwr4V4D/4hZv\n+/cAf+OO7+M6/hLw8x/ovoUQd0OuYWJrSYAm3sfPAr8+fvw5Q2ft96aU+p3AP4ox+ru6j+uKMf51\n4PWHuG8hxJ2Ra5jYWhKgiffxHeAfKKUU8O8A/xOAUmr3PW/3F4BfveP7EEIIuYaJrSUBmrgRpdSn\nwIRhJt3/AewCf2L88p+94m38lFLqLyil/sdzX/oXgV+9pfv4l5VSf14p9T8opf6FC77+vyql/t4F\nf37xKrcvhHiY5Bomtp0MSxc39R3gf4sxvlXToJT6eeBnlFL/XozxP/u6G4gx/ibwr29e3JRSBbAT\nY/wtpdTvv4X7+CvAXxl/W/3Pgf/l3Nd/3zsfqRDiMZJrmNhqEqCJm/pZ4Ncu+Pwr4L+LMf7XAEqp\n7wB/5tz3/GsxxheX3O7vBf7aHdzHfwj80iX3KYR4euQaJraaBGjipr4DfPeCz791QYox/l3gX7rG\n7f4CsP5t9L3vY6z7+E+BX4kx/q1rHMf52/nLwD8PHCilPgf+dIzxL9z09oQQH5xcw+QattUkQBM3\nEmP8Q5d86RXwx5RSr2KM/+DrbkMptQ/8J8A/rZT6D2KMfwb4Z4F/97buA/hTwO8D5kqpfzLG+Mvv\n+P4LxRj/4E1+TgixneQaJradijF+6GMQQgghhBAbZBenEEIIIcSWkQBNCCGEEGLLSIAmhBBCCLFl\nJEATQgghhNgyEqAJIYQQQmwZCdCEEEIIIbaMBGhCCCGEEFtGAjQhhBBCiC0jAZoQQgghxJb5/wE1\nVYbBfNLYAQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac16f6a9b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,4))\n",
"plt.subplot(121)\n",
"plt.scatter(before,before.shift(1),color='pink',alpha=0.05)\n",
"plt.xticks([-0.2,0,0.2])\n",
"plt.yticks([-0.2,0,0.2])\n",
"plt.hlines([0],-0.1,0.1)\n",
"plt.vlines([0],-0.1,0.1)\n",
"plt.title('before')\n",
"plt.xlabel('$P_{t-1}/P_{t-2}-1$')\n",
"plt.ylabel('$P_{t}/P_{t-1}-1$')\n",
"plt.subplot(122)\n",
"plt.scatter(after,after.shift(1),color='seagreen',alpha=0.05)\n",
"plt.xticks([-0.2,0,0.2])\n",
"plt.yticks([-0.2,0,0.2])\n",
"plt.hlines([0],-0.1,0.1)\n",
"plt.vlines([0],-0.1,0.1)\n",
"plt.title('after')\n",
"plt.xlabel('$P_{t-1}/P_{t-2}-1$')\n",
"plt.ylabel('$P_{t}/P_{t-1}-1$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"左側がバブル崩壊前、右がバブル崩壊後である。バブル崩壊後の方が価格の変動性が大きくなっているので、その影響で円の大きさがバブル崩壊後の方が大きい。\n",
"\n",
"また、分布の形状がバブル崩壊前の方がよりイビツに感じるのは正のフィードバックが掛かっているからではないか?  つぎに250日間隔の変化率を見てみよう"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac16ca16d8>"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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lrFgmK9ossG2DuwRBNlbyfDQAk9aybqJyMRBVeGLH4HbgqiDoZrimg4CshX7d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\nIiKyQwpfIiIiIjuk8CUiIiKyQ/8f7jE+nH/gWHkAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac16da65c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,6))\n",
"plt.subplot(121)\n",
"plt.scatter(before250,before250.shift(250),color='violet',alpha=0.05)\n",
"plt.xticks([-1,0,1])\n",
"plt.yticks([-1,0,2])\n",
"plt.hlines([0],-0.8,1.8)\n",
"plt.vlines([0],-0.8,2)\n",
"plt.title('bdfore')\n",
"plt.xlabel('$P_{t-250}/P_{t-500}-1$')\n",
"plt.ylabel('$P_{t}/P_{t-250}-1$')\n",
"plt.subplot(122)\n",
"plt.scatter(after250,after250.shift(250),color='seagreen',alpha=0.05)\n",
"plt.xticks([-1,0,1])\n",
"plt.yticks([-1,0,2])\n",
"plt.hlines([0],-0.8,1.8)\n",
"plt.vlines([0],-0.8,2)\n",
"plt.title('after')\n",
"plt.xlabel('$P_{t-250}/P_{t-500}-1$')\n",
"plt.ylabel('$P_{t}/P_{t-250}-1$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"左がバブル崩壊前、右がバブル崩壊後である。250日間隔の分析ではバブル崩壊前と後では形状に大きな違いがある。\n",
"\n",
"バブル前では基本的には上昇トレンドをいつでも継続できていた関係でプラス方向に分布が偏っている。\n",
"\n",
"一方、バブル崩壊後では250日間隔の穏やかな価格の動きの後には下落トレンドか上昇トレンドが生じている可能性が高い。\n",
"\n",
"つまり大きな振幅を価格の動きはもっている。\n",
"\n",
"また、バブル崩壊後は割と小さい250日間隔の価格の変化に驚かされる。\n",
"\n",
"1日間隔の変化率ではバブル崩壊後の方が価格の変化が大きかったのとは対照的です\n",
"\n",
"## 変化率の最大値、最小値の期間構造  \n",
" \n",
" 例えば、250日間の投資では、1日、2日、3日、そして250日間隔というように日を追うごとに向き合っている変化率の特性は異なる。\n",
" \n",
" 3Dサーフェスで見たとおりである。従って長期投資の際にはこれらの一連の変化率の特性を把握しておく必要がある。\n",
" \n",
" このように期間の異なる一連の変化率の特性をそれぞれの期間の変化率の最大値、平均値そして最小値により表現すると3Dサーフェスとはまた違ったイメ\n",
" \n",
" ージが生まれます。それは境界がハッキリします。\n",
" \n",
" 平均値の動きに注目してほしい。また、4分位点を加えることもできます。"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"16975 6779 10195\n"
]
},
{
"data": {
"image/png": 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zYTw+p6cDpKm4PF7NUCciAaGuTwecckyAMebbE+0Ckk83MJHmLqewjN9+tImf\nndeDLtVm9VMCICLNTV0GBiYDk4HDx2w3wDKfRyQS4DYdOMKnm7O445xu/g5FRKRB6pIEfAREWWvX\nHrvDGPOFzyMSCXDjurdl5QPnaX16EWn2Ttl+aa29yVq75AT7rvZ9SCKBa0tmAYASABFpEdSJKVJH\n6/blMeXPi5i5cp+/QxER8QklASJ11KdDDA9c0JsLB7T3dygiIj5x2kmAMeaixghEJFCVujzkF7sI\ndjq4eVzXGrMDiog0Z/VpCfi9z6MQCWD3zFzHpS8spdTl8XcoIiI+VZ9bGuPzKEQCzLur05k6oD1h\nwU6mn5lCmbu9BgOKSItTnyRAc6JKi/T1rlzSEiJwebzc9+468orLuXlcV87rozmxRKRlUuemCBX9\n/jPeWkOvdtH866YRvPfT0SRoESARaeGUBIhQ8dz/+z8djbdyLY0z0+L9HJGISOOrTxJw0OdRiPiR\ntRZjDKmVqwGKiLQWp/10gLV2YmMEIuIvzy7cxj0z1+HxariLiLQumixIWr0gh8FrLU6HHnwRkdZF\nYwKk1fJ4Kyr+O8/tjletACLSCqklQFqNMreH2WszsNayZu9hzvl/X7AzuxAAh1oBRKQVanASYIz5\nlS8CEWls/12Vzs/+s5a1+/LoGB9OckwYpS6vv8MSEfEbY+3pNYMaY2ZWfwsMstZ292lUPjR06FC7\natUqf4chfpR+uJiO8RF4vZYVO3MY3a2Nv0MSEWlUxpjV1tqhpypXn5aAI9bayyu/fggsrMc5RJrE\nN3sPc+FzS8gvduFwGCUAIiLV+GIBoQd8EQiAMWaKMWaLMWa7Meb+WvafZYzJN8asrfx6yFfXlpYp\nOiyYwWlxWM12LSJynFM+HWCMuQ74f1QkDB8BM6rvt9bm+iIQY4wTeB6YCKQDK40xc6y1m44putha\nO9UX15Tm7+gI/xPplhTFazcMb8KIRESaj7q0BDxIRcXcC9gD/KGRYhkObLfW7rTWlgP/AS5ppGtJ\nC3Hn22t4ZM7G47av3pPL4/O+o6jM7YeoRESah7okAUestd9Ya7OstQ9SUVk3hhRgX7X36ZXbjjXa\nGPOtMWaeMaZvI8UiAcxaS3G5G6/X0jE+gvaxYceVWbEzlw/X7sfoyT8RkROqSxLQ3hhzqzFmvDGm\nLRDc2EGdxBogzVo7APgLMKu2QpXxrjLGrMrOzm7SAKXxffjtAaY8u5iDBaX85oLe3DbhDAAWbDrI\nw7M3ADC7Yhf0AAAgAElEQVTj7G58cvd4IkI0H5aIyInUJQl4GOgP/BbYAvQzxsw1xjxujLnKh7Fk\nAKnV3nes3FbFWnvEWltY+XouEGyMOW64t7X2JWvtUGvt0LZt2/owRPEXj9eSU1gGQFJ0KGemxZEU\n/X0LQFGZm9eW7qLc8/1z/9Fh/sxXRUQCX11uk9YDL9vKCQWMMR2pSAoGABcAb/solpVAd2NMFyoq\n/yuBq6sXMMa0Aw5aa60xZjgVSUyOj64vAcwA0/62lEsGpnDv5J6M7JpYY39kaBBv3TLSP8GJiDRT\ndUkCrgWeN8ZsBeYD862184B5vgzEWus2xtwBfAI4gVettRuNMT+p3P934DLgp8YYN1ACXGlPd7Yj\naTaKytz8acFW7p7Yg4gQJ9eO7ExKfLi/wxIRaTHqPGOgMaYXcD4wGYgFPqciKVhqrfU0WoQNpBkD\nm68vt2ZzyxurePX6YYztrkl+RETqqq4zBp72tMGVJw8HzqYiKRhVlwv5i5KA5sdai6kc1p+ZX0q7\nWkb/i4jIiTXmtMEAt1tr51pr7wR+XM9ziBwnt6ici/+6lGXbDwEoARARaUSnlQQYY+KMMa8BPzDG\n3G6MGQNoFUE5bXnF5VWvn/5kM+Oe+gxrLaUuDw4DocFOP0YnItI6nNZD1NbaPOAGY8xk4BAVTwi8\n3xiBScv131X7eHD2Bj66cxzdkqLo2yEWl6eiC6BDXDizZoyp6g4QEZHGU6+1A6y1n1TuXt2IsUkL\ndXavJG441IXY8Irn+C/o354L+rev2q8EQESkaQTS2gHSDDTkiczsgjK8XkubqFB+NaUXbaNDfRiZ\niIicrkBaO0AC0Jq9h3l83ndYa8nML+Xivy5l16Gikx7j8R6fKBSUurj0haU88uHxi/2IiIh/NLe1\nA6SJLdx0kPkbMskrdnGosIzCMjfek7QGeLyWi/+6hBe+2FFje1RoENeM7MSlgzs2dsgiIlJHp5wn\nwBhzK99PE9wfiAIWAuuAb621vpo2uFFonoCGKypzExlaMXzE7fES5KzIHTdk5NMvJZZyt5f73l3H\n2O5tmdw3mYdmb2TamSlM6NGW7IIyytweOsZH+PMjiIi0Kj6bJ6ByMZ47rbUTrLUJQFcqVvDLo2Lt\nAGlhPF7LI3M2si+3GKAqAQCqEoDPt2Qx9S9LmL/hAE6HIfNIKXnF5USHBfOnKwYxoUfFwk3PLtzK\nD15YVuORQBERCQynvc6qtTYdSMfHawdI09q0/wgzV+3jwal9cDoMs77JYN6GA/z5yjNJP1zM+2vS\n6dM+htSE2u/gx3Zrw2OX9OXsXkk4HYZ/3jiCkKDjc8pLB6cwpV874iJCGvsjiYjIaarvjIESwD7b\nfJBHP9xIYZn7hGX25BTx7up0dmYXAlBY5ibzSBmhQQ66JUXz+b1ncfmw1BMeH+x0cO2ozoQGVUzq\nU1sCADCkUwLjums5ZxGRQKQkIICVujxkHSmtU9nnPt3Gl1uzAfjuQAFfbs0mrJaK+VBhGQAT+yTz\n1W/OpXtyNAA/HtmJ2dUm6UmM0uN7IiItnZKARuD1Wh79cCP/Wr67QedZuy+P0U98xt6c4pOWKyn3\nMG9DJp9+dxCAGWd3Y97PxhHkdFBc7ua+d9dx8Egp27MKGf3EZ8xem0GQ01Gjr19ERFofJQGN4NmF\nW/nX8j2kHy6p1/FZBRV3/4mRIfxwaCqhwcf/M1lrST9cTEm5h/AQJ+/+ZBQPTe1Ttf9oM/2OrCLm\nbchkfXo+iZEhXDeqE2O6aVleERGp51LCzUlTPyJYWOZmzBOfcduErtx+Vrc6H7dqdy5npsVT6vIw\n/qnPuWJYKvdN6VWjjLUWt9cS7HTg8njp/8gnTB3QgacvG3DSqXbzi13ERmh6BxGR1qKujwiqPdjH\nokKDWPPgRMrdXqBiprzosJNXwHtzirn8xeXcfV4PbhnfldvP7sbQTvFARcW/dl8eHeLCufH1lZS6\nPHx6z1kEOx08e8UgOiVGnnKufSUAIiJSG3UHNAKnwxAe4uTJ+Zvp/8j/OJBf0S3wbXoeH397AICD\nR0q59tWvST9cTMf4cJ6/ejBXDk8jLNjJTWO7MDA1DoB9uSVM/9sy5qzdz1+uOpNrRnaqus6Ufu3p\n3T6m6T+giIi0CGoJ8CGP13LzGyu5cngak/u246phabSJCiU5OgyAt7/ey7wNmVzQvx1ZR8rYfrCA\n7IIyOsZHcH61VfSqS0uM4KVrhjCiayKx4cF0bRvVlB9JRERaMI0J8AGXx0thqZsyt5db/7WKn0w4\no8bSuEcdyC8hyOGoWj2vzO2pGsAnIiLiKxoT0ES8Xsv5f15M/5RY/nTFIObcMfaEy+22jw2v8V4J\ngIiI+JOSgAZyOAw3jOlMh7jwqsV1TjVQT0REJBBoYGAD3fLPVWzNLCAyJIhhv1/Iun15/g5JRESk\nTtQS0EBd2kTSJiqEyFAnZ/VM4owkDdwTEZHmQQMDRUREWpi6DgxUd0ADuD1ef4cgIiJSb0oCGuC3\nH21i4h+/POHTACIiIoFMYwIaYGjnBOIjQ/Q0gIiINEtKAhrgooEd/B2CiIhIvak7oJ42Zx6hqMzt\n7zBERETqTUlAPVhr+emba/jpv9f4OxQREZF6U3dAPT192QB/hyAiItIgSgLqwRjD0M4J/g5DRESk\nQdQdUA+r9+Ty1c4cf4chIiLSIEoC6uGvn23nsY82+TsMERGRBlF3QD384dL+FJTqyQARkVbDWvCU\ng7us8qu08n1p5dfR12XgqVam1vJlx28/92Fo26PJP5aSgHpoHxtO+1h/RyEi0kp4PTUr1RqVbGXF\nWtu2+lbItW4v881ncYZCUBgEhVb7CgNXsW/Of5qUBJymUpeHOev2M7JLImmJEf4OR0Sk8VgLHtcJ\nKseTVMg1yvugQvb6oOXVOCAoHIJCvq+EndUq4aBQiEioeO0Mqb2iPm77ycpWP3fI92UDbIZZJQGn\naX9eCfe9+y1/vHygkgARaRzVm56rvpdVVKieahXl0W0NrpCP3V6tQsYHa6M4T1TxVm4PDoewuOO3\nN7hCrnZNp6q72uincprSEiJYfN/ZxIQH+zsUEfGVo3e81SvVGpVutcq3eoVaY1u179Ur2eMq8+oV\nbm37ynzX9Gwcp75bDYs7puI9QUVdp7veWipkZwg4NAY9UCkJOE1BTgepCWoBEGmQYyvdYyvMk1ai\n1e+ET3C3XHX3e6o7aR9XugCOoJqVojOkWsUaUvE9JBIiEmvfV/U99OT7jh573N1w9df6Ey8np9+Q\n07Rydy67sov44dCOWj1QmocaTcuuapVr5WtPeWXlWO3raAV53HEnaI6u875qZXzRzAzVKt2TVKIh\nEeCMP80KNqz2Srd65XvsNmeo7nqlWVEScJpmr81g7vpMLh+W6u9QJJDUVtFWVa4nq2hrq5RdJ66E\njz1P9XI19pV9/9rr8u1nNc5TV5TB4RAeV7NpubYK87i75WPujGtUtCeosB1O334+kVYkoJIAY8wU\n4M+AE3jFWvvEMftN5f4LgGLgemttk67i8+DUPtxxdvemvKQcddKK9piK73Qr2jpV2LVUtEfP4/OK\n1lGtsqus8JzBlZVhcOX7kO/vcKv2hXz/Vb1sreepXjbk+3MGhdRynmqvVemKtBgBkwQYY5zA88BE\nIB1YaYyZY62tPjXf+UD3yq8RwAuV35tMaJCTdrEt8I+g11tRkR1XAbpqeV12gu3Vjz3Bfk9t5z56\n3WObnRu7onUeU+nVUkEevasNi6u272QVacgxlW4tFXKNSvcElbcqWhFpAgGTBADDge3W2p0Axpj/\nAJcA1ZOAS4B/WmstsMIYE2eMaW+tPdBUQb7wxQ6Gd4lnSKc6LiBUNQDqZBViLfvdJ6loT1pBn6gS\nP0VF7IvncI9jqlVwwcd8P+YrOKJylPIpKuTjKtKT3LFWla3tPCGqaEWk1QukJCAF2FftfTrH3+XX\nViYFaJIkoPRIDr0+vYHExBCICTp5RdtY/bFHVVV+wce8Dq25LSgUQqOPqTSPPaaWSvnYMkGhp3+c\nwxlwE2OIiMj3AikJ8BljzK3ArQBpaWm+O6/Dzf1n5HGzN4pbHAkVd6/H3ZGeolKuUUHX8zhnsCpX\nERFpsEBKAjKA6kPuO1ZuO90yWGtfAl4CGDp0qI+eQ4LQqGScIVFknzEVRvzGV6cVERHxi0B6oHUl\n0N0Y08UYEwJcCcw5pswc4FpTYSSQ35TjAQCSIpLIKs5qykuKiIg0ioBpCbDWuo0xdwCfAE7gVWvt\nRmPMTyr3/x2YS8XjgdupeETwhqaOU0mAiIi0FAGTBABYa+dSUdFX3/b3aq8tMKOp46ouKSKJHQd2\n+DMEERERnwioJKA5mJA6geTIZH+HISIi0mBKAk7TxE4Tmdhpor/DEBERabBAGhjYLFhrKSgvoMyX\nq46JiIj4gZKA07QpdxOj3x7N0oyl/g5FRESkQZQEnKak8CQAPSEgIiLNnpKA05QQloDTOJUEiIhI\ns6ck4DQ5HU7ahLfhYPFBf4ciIiLSIEoC6iE5IlktASIi0uzpEcF6uKr3VTiNlqEVEZHmTUlAPUzt\nOtXfIYiIiDSYugPqaWXmStZmrfV3GCIiIvWmloB6cHvd/HbFbykoL2Dm1Jm0jWjr75BEREROm1oC\n6iHIEcQzE56hyFXEnZ/dSUF5gb9DEhEROW1KAuqpR3wPnh7/NFtyt/DThT+l2FXs75BEREROi5KA\nBpiQOoEnxz/Juux1fLzrY3+HIyIiclo0JqCBJnWexJuRb9K/TX9/hyIiInJalAT4wMC2A/0dgoiI\nyGlTd4APeLwenvz6Sd7b+p6/QxEREakzJQE+4HQ4WZu1ln9t+hdFriJ/hyMiIlInSgJ85Kb+N7H7\nyG6umXcN+wv3+zscERGRU1IS4CPndTqPv533NzKLMvnx3B+z9fBWf4ckIiJyUkoCfGh0h9G8MeUN\nYkNja2wvchVhrfVTVCIiIrVTEuBj3eO7897F79Ejvgcur4t7vriH0W+P5rWNr/k7NBERkRqUBDQC\nh6n4sX6882OWH1hOp5hOvPLtK+SX5fs5MhERke8pCWhEU7tO5YvLv+Dp8U9T6CrkjY1v+DskERGR\nKposqBEFOSp+vD0TejK161TKPeV+jkhEROR7SgKayO/H/h5jDAAzt8wkpzSHS7tdSnJksp8jExGR\n1kpJQBM5mgAAbMzZyPvb3ufFdS/SO6E3ha5ChiQP4ZHRj/gvQBERaXU0JsAPHh39KHOnz+XavtcS\nERxBj/genBF3hr/DEhGRVkYtAX6SGpPKL4b8osa23fm7+b+l/8eDIx+kZ0JPP0UmIiKthVoCAkh8\nWDy78nfxh6/+QGF5ob/DERGRFk5JQACJDY3l/uH3sy57HVfPvZqd+Tv9HZKIiLRgSgICzEVnXMTL\nk14mvyyfqz++mm+zvwXgUMkhP0cmIiItjZKAADSs3TDemfoOEztNpHt8d5ZkLGHiuxP5Jusbf4cm\nIiItiJKAANUush2/HfNbwoPCGZw0mMSwRH6/4vd4vJ4THmOtJas4C4Bd+bt4Y+Mb3DD/BlZlrmqq\nsEVEpBlREtAMRARH8Mthv2TL4S1cN/86FqUvwu11H1du1vZZTP1gKptzN3P353fzzKpnWJO1hidX\nPonXev0QuYiIBDI9IthMTOo0iYdHPcyL377IXZ/dxWeXf0ZCWAIHiw6SXpjO/F3zeXfru5yZfCY9\n4nvw+LjHOVx2mEMlh3hgyQN8uvdTxnQYA1QkFSIiIkoCmgljDJf1uIxLzriE9YfWkxCWAMD9i+9n\n1cFVOI2Ty3pcxh2D7sBhHPRO7A2Ax+thVeYqOkR2oMhVxFUfX8Xj4x5nWLthVefOKcnhlfWvcFP/\nm2gT3sYvn09ERJqesdb6O4ZGNXToULtqVcvtE1+UvohgRzBdYrvQLrLdScvmluZyy/9uYevhraRE\npTAkeQg/G/wz2oS34bIPL8Nay6uTXyU+LL6JohcRkcZgjFltrR16ynJKAlqXYlcxb21+i825m/li\n3xfEhsYy79J5fJP1DTM+nUFsaCwXn3ExiWGJ/LjPj487vtxTjtvrrtGl4PK4mLd7HpHBkQxrN4yY\nkJim/EinxVpLkasIL96AjlNEpCGUBFRSEnBie47sYevhrUzsNBGANQfX8OK3L7J8/3ISwhL47PLP\nMBjm7prLhI4TeHLlk8zaPovxHcfz/LnPA/DE10+wNGMpu4/sBsBhHPzlnL8wvuN4vsv5jvCgcDrH\ndgYqkoX88vw6dznszNvJjvwdxITEcGbSmYQ4Q+r9WTMKM3h9w+sszlhMRmEGAGNTxvL42MeJC4ur\n93lFRAJRXZMAjQloxTrFdKJTTKeq94OTB/PixBc5Un6EiKAIHMbBt9nfcv/i+wlzhlHqKeWKnlcw\nov0IoKJVYPn+5QQ5gvjLOX8hOiSarw58RZ/EPgCsyVrD8988zzV9r2FJxhI2HdrE5T0v59cjfg1A\nXmleVQWcV5pHbmkuXeO6ArBgzwJ+tehXuLwuAFKiUvhw+ocEO4Kr4s0pyaHMU0aHqA61fr4Sdwkb\nD21kaLuhbDi0gXe3vcuIdiO4vOflFJYXsmz/MsKCwgB4aOlD5Jbm4va6KXGXUOIuYXzH8cwYNKPG\nCpDie9nF2VVzYAxoO+CU3Voi4jtqCZBTWpS+iH+s/wc/6v0jJnWeVOfj9hfu52ef/4zNuZvpFteN\nCR0nMKXLFHol9GL+rvk8tuIxbux3I/Gh8fxx9R8Z3WE0T094mlJ3KcP+PYxBbQdx/4j7ySrK4kDR\nAa7ufTVe62XBngVsPLSRtze/TZmnjGndpvHo6EerKutDJYf485o/s3DPQso8Zcy9dC7tItthra1R\noXu8HpwOJwD3LbqPXfm7CHYEExEUgdu6GZsylpv738yL617k39/9m6iQKGJCYmgT3oZp3aZxdurZ\nVcfL6Tv67/HQ0of4YPsHQEVL0viU8QxJHsL1/a4H4KZPbiIiKIJp3acxoeMEghy6dxE5lWbVHWCM\nSQDeAToDu4HLrbWHaym3GygAPIC7Lh9QSYB/lXvKOVh0kI7RHWtUwPsK9vHIskf4OvNroOIO8NfD\nf02/Nv04WHSQD7Z/wHV9ryM8KLzG+T7f+zl3fX4XABd0uYB2ke34ZPcnzP/BfKy1PLXyKebtmkeh\nq5Dzu5zPJWdcwtB2p/w1qdXRSmpl5ko+3vkxJe4SjpQfYUfeDgrKC1hw2QKiQqJ4bs1zHC47zIxB\nMwLy6QqXx0WwM/jUBRvxui+sfYH0wnQGJw0mISyBF9a9wI39b2RK5ynkluayO383oUGh/G/3//hk\n9yfEhMQw86KZWGt5eNnDLN2/lKziLBLCEjg79Wymd5/OwLYDySjMYHPOZkZ2GElkcORxMXitF4ep\n/3QoO/J28MG2DwgLCqNNeBvGpIwhNTqVck85h0sPc6DoAJlFmWAgOSKZfm361WitEvGX5pYEPAXk\nWmufMMbcD8Rba39VS7ndwFBrbZ0n0lcSENgyizLZmbeT4e2H1+kOr6C8gPyyfCKDI6ueYnB73QQ5\ngsgpyeHHc39MWFAYT41/iu7x3RslZo/Xw478HfSI7wHAH776A+9tfY+I4AguOuMiwpxhjOowimHt\nhuG1XhalL6JvYl/aRrQ96Tl35e/Ci7fqvPVhreXBpQ+y/MBypnebzoacDXx14Ct+N+Z3XNj1Qqy1\n5JXl4bVeEsMTT/k5F+xZwPiO44kIjuDjnR+z5uAa7hl6z3FzTewv3M/cXXNpH9mesKAwduTtYPb2\n2bx5wZvEh8Vzw/wb2Jm/k9zSXAA6RnXk0dGPMrz98FqvffTftPr7L9O/ZP6u+SzOWMwvh/6SH/T4\nAVtyt3DZh5cR5AhiSNIQRnYYSfe47kxInQDATxf+lGJXMZM7T6Z7fHdiQmKICIogNSb1lD/LrYe3\nctMnN1FYXojHerBYnj3rWc7tdC6L0hcx49MZxx3z0sSXGNVhFF8f+Jrvcr/jR71/pJYL8YvmlgRs\nAc6y1h4wxrQHvrDW9qyl3G6UBMhJeLwejDENuvurj515O3l0+aN8l/sd5Z5yZgyawS0DbmFn/k4u\nmXUJQFX3wpDkITWOXZqxlF8t/hX5ZfkAvDHlDQa2HcjPP/85A5MGclHXi0iOTD7umie6y31z05t8\ntPMjNuZsJD40noFJA7l/+P2kRKXwwJIHmLNjDg7j4OIzLub6vtfTNbZrVSuNtZbtedtZsGcBs7fP\nZn/Rfh4c+SCX97ycF9a+wAvrXiAmNIbz0s7DYhnVYRRTOk/hf7v/xz1f3lMjjjEpY3hy3JPEhsZW\nnXvDoQ1kFGVwbuq59W6d8FovHush2BGMy+tibdZaFqcvZlH6Inbk7wDg1cmvMqzdMF5Z/wof7fio\najvA5M6TeWbCM1hrWZS+iJEdRrLm4Bo25mxk6+Gt/G7M7whxhvDE10+wYM8CXp/8OinRKeSU5BAZ\nHElEcAQHCg+wOGMxSRFJpESlYDDsPrKbcR3HEeoM5Q9f/YG3N79NZHAkPeJ7MK3bNKZ2nUqIMwRr\nLW9tfosPd3yI2+vmzjPvZHzH8VX/BmWeMqy1VeNVmlJ6QTqL0hcRExpDanQqqdGpRARF+CUWaZjm\nlgTkWWvjKl8b4PDR98eU2wXkU9Ed8KK19qVTnVtJgPjD0a6Eck85m3I2sWz/MmZumUlOaQ63DriV\nGYNm4DAOnl/7PC9/+zLd4rpxXd/rcHldTO82HWMMDy97mPe3vU94UDh3D7mb6JBoJneaTLAzmOfX\nPs8r377C4OTBXHzGxWzO3UyP+B5M7z69Koas4iyiQ6JrdKksTl/M3oK9pBek886Wd3B5XVzW4zIe\nHvUwABPemUBuaS4Gw4j2I/hhjx9yXqfzqpKNtVlreeu7t/h83+dEBEcwsv1Inhz/JABFriIOFh2k\n1FNKXGgc7SPbN/mgyiPlR9idv5tucd1qtFbsO7KPjKIMCssLaR/Vnr6JfVm+fzm3Lri1KpmAigGo\n/5j8D1KiUliasZS06LQ6tRoc62iCsSRjCauzVrPt8Laqn7PL62LwvwbTPb47Lo+L3Ud20za8LS9P\nepkz4s7guTXP8fL6lxmbMpYb+93I0OShtf4cNxzawPxd8yl0FTKu4zjOTTsXl9fF4dLDJEUk1TnO\n/UX7SYlKAWDarGk1EiaAc1LP4c/n/BmAP67+I52iOzEhdUJAdn3J9wIuCTDGLARqG/b7APBG9Urf\nGHPYWnvcjDXGmBRrbYYxJglYANxprV1US7lbgVsB0tLShuzZs8dXH0Ok3krcJTyz8hmW7V/GvB/M\nA+Dm/91MdHA0vxv7u1r7tPce2cvvv/o9y/YvA+DFiS8yusNoZm2fxYoDK1ixfwU5pTkEO4K5rMdl\n/GbEb+ocz8GigyzJWEKZp4yre1+NtZY/rf4TqTGpTOg44aQVybGDLJsjay2zts9iU84mxqSMYXDy\n4EaZO8Jay/L9y8kpzeGiMy7Ca72kF6STGp2K27r5aMdHfJX5FQ+NfIiI4AjWHFzDovRFfLD9A3JL\nc+kU04lp3aZxc/+bcXvdXD//eordxWw7vI0QRwgxoTHcdeZdTO8+ne2HtzN9znRGtBvB2JSxJIYn\nsjFnIz/o/gO6x3fni31fMGfHHJIjkin3lLPq4CoyizL57PLPiAyOZG3WWhLDEnF5Xewr2Me+gn0k\nRyYzsdNEil3FXPjBhRwqOUSQCaJfm35kl2Tzk4E/YVq3aRSUF/BN1jeM7zje5z9DOX0BlwScNIg6\ndgccc8wjQKG19pmTlVNLgASarYe30j2ue50rUWstizMWExMSw4C2A2p0ARS7itlbsJeusV0bNI+C\nBJ4Sdwn/2/0/Zu+YTdvwtlUtLr9b8TvSC9IZ0b7icdfqyePh0sO8s+UdZm+fTXphOgBhzjBmTZtF\nSlQKH+38iBfXvcjB4oM4jIP+bfozqfMkLup6UZ2a/K21bMvbxkc7P2LNwTV0iOrAD3v8kGHthvHf\nrf/lseWP8ezZz3Ju2rnHHev2utmSuwWX10X7yPa1dnE1Bo/Xwye7P+HjXR9zoOgAUzpP4dYBt1Lu\nKSe7JJsOkR2afUJbm+aWBDwN5FQbGJhgrb3vmDKRgMNaW1D5egHwmLV2/snOrSRARFqj/LJ8souz\nSYtJOy5BPPp335eVX6m7tGoA6D/P/yc9Eyru47zWy8wtM3ltw2vsL9pfcV0Mj4x+hEu7X1o1N0d0\nSLRP4sgvyyc2NBZrLfctuo912es4UHSA1OhUUqJSeHDkg6TFpDHj0xksSl9EXGgc56ady/V9r6+a\n2Owf6//BvF3z6B7fnTvPvPOEc5EEsuaWBCQCM4E0YA8VjwjmGmM6AK9Yay8wxnQFPqg8JAh4y1r7\n+1OdW0mAiEjTyCzK5MqPriS/LJ8Lul7Ar4b/Co/Xw/TZ00mLSePynpcTFxrHhkMbuKDLBaTFpPHB\ntg94ZtUzjOkwhpjQGK7pc02NScyOlV2cTYgzhNjQWA4UHmD5geWkRadR7C7mo50fsfrgat6/+H1i\nQ2O549M7CHGGMLnzZCZ2mlijFW1l5kq2521nffZ6Ptn9CeXeci7seiFPjHuC/LJ8HljyACszVxLk\nCOKXw37JpE6TmtUKrM0qCWhMSgJERJpOVnEWr254lVnbZ/HlFV8S6gwlsyiT5IjkWlsetuRu4YV1\nL7AjbwcHiw9iMPxmxG+4pNslFLuKmbNjDqHOUMo8ZXyX+x0f7fiIh0Y9xCXdLuE/m//D77/6/l4w\nMjiSK3teye2Dbj+t7rFDJYeYs2MOSRFJTO06tWr7viP7uHfRvWzK2UT3+O68d9F7zabrQElAJSUB\nIiJN79i5HuoisyiT+xffT/vI9jw+7nFcXhej3hpFmacMgIigCKZ0qejTT4lKwVrLriO7yCzKxGEc\nDE4a7POxMV7rZfXB1QQ7ghmUNIjc0lyeWvkUXWK6EBUSxVmpZ1U9XVEX2w5vo31ke6JConwa57GU\nBPeV29wAAAXoSURBVFRSEiAi0nxYaylwFVQ9qZFbmkuJu4RgRzBtw9v6/U58bdZafvb5z6omvnIY\nB+emnct9w+6jXWS7qoXPSt2lhAeFs2z/MmJDY/nZ4J/h9roZ9uYw3NbN/2/vfmLsqsswjn+fUNRJ\nNYZmtKlAhJoqIS5GYzAoURLj3wXVLvizMJiYwAKJLkysbmRDQhp1a6KRBBOFkFSwK4wkBne1QBpp\nS5EJVmypHaFBikZhmNfFPa2XOvf2DnM6Z27P97OZO7975+adZ97JvPmdM+fMbJhhqZa4dsu17Pz4\nzhUNEpPwBkKSpKmT5E3/qrnpHZs6rOb/zb13jsdueozXl17nxD9PsPvZ3eyZ33Nm1+PuvXefuRw6\nwMyGGW74wA0AFMWuT+/i+Vee56V/v8Ti0iIPzz/M3uN72bFtRyffjzsBkiStwvB9Mg6fPMxSLbHx\n4o2ceu0UW9+9dewJhQv/WmB2Zrb1q5y6EyBJ0hoYvgT2VZuuWtHXTnp1x/NlbS+wLkmS1g2HAEmS\nesohQJKknnIIkCSppxwCJEnqKYcASZJ6yiFAkqSecgiQJKmnHAIkSeophwBJknrqgr93QJK/A39p\n+W1ngRdbfs++McN2mOPqmWE7zHH12szw/VX1nnO96IIfAs6HJI9PcmMGjWaG7TDH1TPDdpjj6nWR\noYcDJEnqKYcASZJ6yiHgrflJ1wVcAMywHea4embYDnNcvTXP0HMCJEnqKXcCJEnqKYeAFUjyhSTP\nJJlPsrPreqZJkiNJnkqyP8njzdqmJL9N8mzz8ZKu61xPktybZCHJgaG1kZkl+W7Tm88k+Xw3Va8/\nI3K8K8mxph/3J/nS0HPmeJYklyf5XZJDSQ4m+Wazbj9OaEyGnfaihwMmlOQi4E/AZ4GjwD7glqo6\n1GlhUyLJEeBjVfXi0Nou4GRV3dMMVZdU1Xe6qnG9SfIp4FXg51X14WZt2cySXA3cD1wDvA94FPhg\nVb3RUfnrxogc7wJeraofnPVac1xGki3Alqp6Msm7gCeALwNfw36cyJgMb6TDXnQnYHLXAPNV9VxV\nvQY8AGzvuKZptx24r3l8H4NfCDWq6vfAybOWR2W2HXigqv5TVX8G5hn0bO+NyHEUc1xGVR2vqieb\nx6eAp4FLsR8nNibDUdYkQ4eAyV0K/HXo86OM/wHqzQp4NMkTSW5r1jZX1fHm8d+Azd2UNlVGZWZ/\nrtydSf7YHC44vY1tjueQ5ArgI8Be7Me35KwMocNedAjQWrmuquaALwJ3NFu0Z9TguJTHplbAzFbl\nx8BWYA44Dvyw23KmQ5J3AruBb1XVK8PP2Y+TWSbDTnvRIWByx4DLhz6/rFnTBKrqWPNxAXiIwbbW\nieY42enjZQvdVTg1RmVmf65AVZ2oqjeqagn4Kf/bZjXHEZJczOCP1y+q6lfNsv24Astl2HUvOgRM\nbh+wLcmVSd4G3Azs6bimqZBkY3MiDEk2Ap8DDjDI79bmZbcCv+6mwqkyKrM9wM1J3p7kSmAb8IcO\n6psKp/9wNb7CoB/BHJeVJMDPgKer6kdDT9mPExqVYde9uKHtN7xQVdVikm8AvwEuAu6tqoMdlzUt\nNgMPDX4H2AD8sqoeSbIPeDDJ1xnc6fHGDmtcd5LcD1wPzCY5CnwfuIdlMquqg0keBA4Bi8AdfT4T\ne9iIHK9PMsdg+/oIcDuY4xifBL4KPJVkf7P2PezHlRiV4S1d9qL/IihJUk95OECSpJ5yCJAkqacc\nAiRJ6imHAEmSesohQJKknnIIkCSppxwCJEnqKYcASa1LclmSm7quQ9J4DgGSzofPAB/tughJ43nF\nQEmtSnIdg2vIvwycAnZU1XPdViVpOQ4BklqX5BHg21V14JwvltQZDwdIOh8+BBzuughJ4zkESGpV\nklngH1W12HUtksZzCJDUtiuAF7ouQtK5OQRIatthYDbJgSSf6LoYSaN5YqAkST3lToAkST3lECBJ\nUk85BEiS1FMOAZIk9ZRDgCRJPeUQIElSTzkESJLUUw4BkiT11H8Bj1m/adsJGOIAAAAASUVORK5C\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac16b642b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,4.8))\n",
"high=[0]*250\n",
"low=[0]*250\n",
"ave=[0]*250\n",
"for i in range(250):\n",
" high[i]=float(n225.pct_change(i).max())\n",
" ave[i]=float(n225.pct_change(i).mean())\n",
" low[i]=float(n225.pct_change(i).min())\n",
"plt.plot(high,label=\"high\", linestyle=':')\n",
"plt.plot(ave,label='ave')\n",
"plt.plot(low,label='low',linestyle='--')\n",
"plt.legend(loc='upper left')\n",
"plt.title('all data')\n",
"plt.xlabel('$t$')\n",
"plt.ylabel('$P_{t}/P_{1}-1$')\n",
"print(len(n225),len(after),len(before))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"全データ数は16870個である。このデータからは250日間の時系列を10195個作ることができる。\n",
"\n",
"この時系列の1つ1つはそれぞれが異なる動きをしている。その動きの大まかな特徴をつかもうとするのが上述の図です。\n",
"\n",
"すでに3Dサーフェスで見た通り、時間の経過と共に価格が動ける幅は広がっている。\n",
"\n",
"大きく上昇することもできるし、大きく下落することもできる。その最大値(high)と最小値(low)を示しているのがこの図である。\n",
"\n",
"従って250日間で価格が上昇する際に最大値のグラフのような動きをして、下落するときは最小値のような動きをするといっているわけではない。\n",
"\n",
"これはあくまでも価格が過去に動いた幅を示している。  \n",
"\n",
"理論的には価格がランダムウォークに従えば時間の経過に比例して価格の動ける幅は大きくなるはずです。\n",
"\n",
"しかし、価格が下落する際にはそのような傾向が見られるが、上昇する際には広がる時期と停滞する時期に分かれているように見える。\n",
"\n",
"この構造はバブル崩壊前の特性を強く反映していることが次のグラフからわかります。"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### プログラムコードの解説\n",
"\n",
"high.plot(label=\"high\") 凡例のlabelを用いてhighに設定\n",
"\n",
"ave. plot (label='ave') 凡例のlabelを用いてaveに設定 \n",
"\n",
"low.plot(label='low') 凡例のlabelを用いてlowに設定\n",
"\n",
"plt.legend(loc='upper left') 凡例の位置を左上に設定"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac168860b8>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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6xiC8r9Zn8/naPcesUOtrYOdoZq7axezVWVw1ugdvXTeqSVob0vcXc/E/F/Dc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\nZ4mf4XV7UQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fac169395c0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,4.8))\n",
"high=[0]*250;low=[0]*250;ave=[0]*250\n",
"for i in range(250):\n",
" high[i]=float(n225.loc[:'1989/12/31'].pct_change(i).max())\n",
" ave[i]=float(n225.loc[:'1989/12/31'].pct_change(i).mean())\n",
" low[i]=float(n225.loc[:'1989/12/31'].pct_change(i).min())\n",
"plt.plot(high,label=\"high\",linestyle=':')\n",
"plt.plot(ave,label='ave')\n",
"plt.plot(low,label='low',linestyle='--')\n",
"plt.legend(loc='upper left')\n",
"plt.title('before bubble crash')\n",
"plt.xlabel('$t$')\n",
"plt.ylabel('$P_{t}/P_{1}-1$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"最大値のグラフは、バブル崩壊前(before bubble crash)とすべての期間(all data)でほぼ同じである。なぜだろうか? \n",
"\n",
"それぞれの変化率の最大値がバブル崩壊前に生じているからである。ということは下落側に関してはバブル崩壊後の影響を色濃く受けているはずである。\n",
"\n",
"また、250日間隔の変化率の平均値はプラスである"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7fac16767320>"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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3c91/11NQbOXDtfFMeGk57UP9GNYlnIl92nLTmK5Eh+tEPkqplsOdWgKc8Srw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\nfrNIbHzTL9XVkoYDREQk4JKzkhm9pvikPqPnDEa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"text/plain": [
"<matplotlib.figure.Figure at 0x7fac168183c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(8,4.2))\n",
"high=[0]*250;low=[0]*250;ave=[0]*250\n",
"for i in range(250):\n",
" high[i]=float(n225.ix['1991/3/1':].pct_change(i).max())\n",
" ave[i]=float(n225.ix['1991/3/1':].pct_change(i).mean())\n",
" low[i]=float(n225.ix['1991/3/1':].pct_change(i).min())\n",
"plt.plot(high,label=\"high\",linestyle=':')\n",
"plt.plot(ave,label='ave')\n",
"plt.plot(low,label='low',linestyle='--')\n",
"plt.legend(loc='center right')\n",
"plt.title('after bubble crash')\n",
"plt.xlabel('$t$')\n",
"plt.ylabel('$P_{t}/P_{1}-1$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"バブル崩壊後では最小値の下落は急激に起こり最大値の上昇はゆっくりと半年間かけて起こるが、それ以降は停滞してしまうことが分かる。\n",
"\n",
"平均値はほぼ一貫してゼロである。また、最大値、最小値のグラフはギザギザしている。\n",
"\n",
"一方、平均値のグラフはほぼ直線である。これは、最大値と最小値のグラフが経過日数毎の最も大きな変化率、または小さな変化率の1点を次々に結んだグラフであるのに対して、平均のグラフは多くのデータポイントの累積\n",
"\n",
"の結果だからです。\n",
"\n",
"全期間ではデータ数が16,777、バブル崩壊前では10,195、バブル崩壊後では、6,581です。  \n",
"\n",
"今回は2Dヒストグラム、3Dサーフェス、散布図、チャートを用いて分析を行いました。\n",
"\n",
"1日間隔の変化率からは見ることのできない現象が250日間隔の変化率から見ることができた。\n",
"\n",
"また、変化の期間を連続して変えることで価格変化の期間構造のようなものが明らかになった。\n",
"\n",
"時間トレンド、ランダムウォーク、AR(1)の特徴の違いは期間の長い方が直感的にはつかみ易い。\n",
"\n",
"これは日々の価格の変化を単に見ているだけでは、その日々の変化が累積してできる結果を簡単には想像できないことを意味しています。"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
},
"latex_envs": {
"LaTeX_envs_menu_present": true,
"autocomplete": true,
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 1,
"hotkeys": {
"equation": "Ctrl-E",
"itemize": "Ctrl-I"
},
"labels_anchors": false,
"latex_user_defs": false,
"report_style_numbering": false,
"user_envs_cfg": false
},
"toc": {
"colors": {
"hover_highlight": "#DAA520",
"navigate_num": "#000000",
"navigate_text": "#333333",
"running_highlight": "#FF0000",
"selected_highlight": "#FFD700",
"sidebar_border": "#EEEEEE",
"wrapper_background": "#FFFFFF"
},
"moveMenuLeft": true,
"nav_menu": {
"height": "245px",
"width": "252px"
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"navigate_menu": true,
"number_sections": true,
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"toc_cell": false,
"toc_section_display": "block",
"toc_window_display": false,
"widenNotebook": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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