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@sin32775
Created July 7, 2021 00:37
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# トレンドを理解する\n",
"## 日本経済と日経平均株価\n",
"Fred(セントルイス連銀サイト)のデータベースからは1949年からの日経平均株価が手に入る。\n",
"\n",
"戦後、日本は戦後復興期、高度経済成長期、安定成長期、ブラックマンデーの余波を受け、バブル経済を経験し、またインターネットバブル、サブプライムショックなど数々の局面を乗り越えてきた。\n",
"\n",
"そのような状況で、1949年以降の価格データを同一のものとして扱うと、株式市場、日本経済の実態を十分に把握できない。\n",
"\n",
"そこでデータの期間を内閣府の景気基準日を用いて幾つかの景気循環期に分けて分析してみよう。\n",
"\n",
"景気循環期とその期間を表にまとめた。\n",
"\n",
"現在内閣府公表の景気循環期は15期あり、1つの循環期は景気拡張期と後退期に分けられている。\n",
"\n",
"本資料ではそれを適時アレンジして用いている。 "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"|循環期 | 景気 |期間 始点 |終点 |\n",
"|------------|---------------------------- |-------------|-------------|\n",
"|1,2 |戦後復興期(recover) |1949/5/16 |1954/11/30 |\n",
"|3,4,5,6 |高度経済成長期(growth) |1954/12/1 |1971/12/31 |\n",
"|7,8,9,10 |安定期(stable) |1972/1/1 |1986/11/30 |\n",
"|11 |バブル経済期(bubble) |1986/12/0 |1993/10/31 |\n",
"|12,13,14,15 |経済変革期(reform) |1993/11/1 |現在   |"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"景気循環期の日経平均株価の年間変化率の算出  \n",
"それぞれの循環期の日経平均株価の年率換算した変化率を計算してみよう"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['recover', 'growth', 'stable', 'bubble', 'reform', 'now']\n"
]
}
],
"source": [
"states=['recover','growth','stable','bubble','reform','now']\n",
"dates=[\"1949/5/16\",\"1954/12/1\",'1972/1/1',\"1986/12/1\",\"1993/11/1\",\"2016/9/30\"]\n",
"print(states)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['1949/5/16', '1954/12/1', '1972/1/1', '1986/12/1', '1993/11/1', '2016/9/30']\n"
]
}
],
"source": [
"print(dates)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"rate of change\n",
"recover : 13.71 %;\n",
"growth : 13.47 %;\n",
"stable : 13.48 %;\n",
"bubble : 3.49 %;\n",
"reform : 2.16 %;\n",
"volatility\n",
"recover : 22.99 %;\n",
"growth : 14.45 %;\n",
"stable : 12.64 %;\n",
"bubble : 22.82 %;\n",
"reform : 23.54 %;\n"
]
}
],
"source": [
"import pandas_datareader.data as web\n",
"import numpy as np\n",
"end='2017/7/31'\n",
"n225 = web.DataReader(\"NIKKEI225\", 'fred',\"1949/5/16\",end).NIKKEI225\n",
"print('rate of change')\n",
"for i in range(len(dates)-1):\n",
" ave=n225[dates[i]:dates[i+1]].pct_change().mean()*250\n",
" print(states[i],': %2.2f %;'%(ave*100))\n",
"print \n",
"print('volatility')\n",
"for i in range(len(dates)-1):\n",
" vol=np.log(n225[dates[i]:dates[i+1]]).diff().std()*np.sqrt(250)\n",
" print(states[i],': %2.2f %;'%(vol*100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 結果の解釈\n",
" 戦後復興期(recover)が14%、高度経済成長期(growth)が13%、安定期(stable)が13%と日経平均株価の変化率は大きな違いがない。\n",
" \n",
" 一方、バブル崩壊を含むバブル経済期(bubble)が3%、経済変革期(reform)においては2%と非常に低い。\n",
" \n",
" また、価格の変動性の目安であるボラティリティ(250日換算の対数収益率の標準偏差)は高度経済成長期と安定期においては13-14%程度であるのに対して、\n",
" \n",
" それ以外の戦後復興期、バブル経済期、経済変革期という混乱をともなう期間においては23-24%程度と非常に高くなっている。\n",
" \n",
" \n",
" ### プログラムコードの解説 :リストを用いた配列の作成\n",
"\n",
"5つの循環期の配列を構築する。\n",
"\n",
"states=['recover','growth','stable','bubble','reform','now']\n",
"\n",
"配列の先頭はstates[0]='recover'であり、配列の末尾はstates[5]='now'である。\n",
"\n",
"同様に経済の循環期の始点の配列を作ることができる。\n",
"\n",
"Dates=[\"1949/5/16\",\"1954/12/1\",'1972/1/1',\"1986/12/1\",\"1993/11/1\",\"2016/9/30\"]\n",
"\n",
"これらの配列はPythonのデータ構造の1つであるリストを用して作られている\n",
"\n",
"プログラムコードの解説 : 年間収益率の算出\n",
"\n",
"変化率はpandasのpct_change関数を用いて日々の価格の変化を変化率に変換している。\n",
"\n",
"それをmean関数を用いて平均し、年間の変化率に換算するために250倍している。\n",
"\n",
"for i in range(len(dates)-1):\n",
" \n",
" ave=n225[dates[i]:dates[i+1]].pct_change().mean()*250\n",
" \n",
" print(states[i],': %2.2f %;'%(ave*100))\n",
"\n",
"\n",
"### プログラムコードの解説 : ボラティリティの算出\n",
"\n",
"価格の対数を取るにはnampyのlog関数を用いている\n",
"\n",
"pandasのdiff関数を用いて対数価格の差分を取って対数収益率としている。\n",
"\n",
"std関数を用いてそれらの標準偏差を計算している\n",
"\n",
"numpyのsqrt関数を用いて1日の標準偏差を250日分に修正している。\n",
"\n",
"print('volatility')\n",
"\n",
"for i in range(len(dates)-1):\n",
" \n",
"   vol=np.log(n225[dates[i]:dates[i+1]]).diff().std()*np.sqrt(250)\n",
" \n",
"   print(states[i],': %2.2f %;'%(vol*100))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## グラフを用いた長期トレンドの把握\n",
"matplotlibにはいろいろな機能が備わっているので、線グラフ上に景気循環期の配列情報を表示することで、景気循環期と日経平均株価のトレンドを直感的につかんでみよう"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"struct_break=[('1949/5/16','recv'),('1954/12/1',' growth'),\n",
" ('1972/1/1','stable'),('1986/12/1','bubble'),('1991/3/1',' reform')]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f9dd611b710>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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3Ul5ezm9/+1smTpxYsNcvUkyUkIuIiHRjVgZAJFJa0Dj+/ve/s379eiZOnMgDDzzA5s2b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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9dda6f6ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"fig=plt.figure(figsize=(12, 8))\n",
"g=fig.add_subplot(1,1,1)\n",
"n225.plot(ax=g,style='y-',linewidth=0.5)\n",
"plt.ylabel('N225 Index')\n",
"for date, label in struct_break:\n",
" g.annotate(label,xy=(date, n225.asof(date)+1000),\n",
" xytext=(date,n225.asof(date)+10000),\n",
" horizontalalignment='left',verticalalignment='top')\n",
" g.set_xlim(['1947/1/1','2019/4/25'])\n",
"\n",
"plt.title(\"Nikkei 225 and structural change\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 結果の解釈 \n",
"このグラフからは日経平均株価が1983年以降急激に上昇し、1989年末にピークを付け、その後のバブル崩壊で株式市場のボラティリティが急激に上昇したように解釈できる\n",
"しかし、この解釈には若干の問題がある。それを次節のデータの事前処理で詳しく説明しよう\n",
"\n",
"### プログラムコードの解説 :タプルを用いた配列の作成\n",
"内容の変更が必要ない配列はタプルにより作ることができる。\n",
"\n",
"循環期とその始点からなる配列を作ってみよう。\n",
"\n",
"struct_break=[('1949/5/16','recv'),('1954/12/1',' growth'),\n",
" ('1972/1/1','stable'),('1986/12/1','bubble'),('1991/3/1',' reform')]\n",
"\n",
"### プログラムコードの解説 :グラフ表示のテクニック\n",
"\n",
"matpoltlibは多種多様な描画ができる優れたグラフのライブラリーである。ここでは幾つかを利用している。\n",
"\n",
"fig=plt.figure()\n",
"\n",
"g=fig.add_subplot(1,1,1)\n",
"\n",
"n225.plot(ax=g,style='y-',linewidth=0.5)\n",
"\n",
"figure()でプロットに必要なウインドウの確保\n",
"サブプロットを追加\n",
"\n",
"チャートの描画、axでサブプロットの場所の指定\n",
"\n",
"stlyeで色を黄(y)に指定\n",
"\n",
"for date, label in struct_break:\n",
" \n",
" g.annotate(label,xy=(date, n225.asof(date)+1000),\n",
" \n",
" xytext=(date,n225.asof(date)+10000),\n",
" \n",
" horizontalalignment='left',verticalalignment='top')\n",
" \n",
" g.set_xlim(['1947/1/1','2019/4/25'])\n",
"\n",
"plt.title(\"Nikkei 225 and structural change\")\n",
"\n",
"データポイントにテキストを表示\n",
"asofで指定した日時のデータを取得\n",
"x軸の両端の措定\n",
"チャートのタイトルを表示"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## トレンド判定に必要なデータの事前処理 \n",
"取引価格は取引の日時とその価値、または価値の上がり具合、下がり具合を示すトレンドを把握するには便利である。しかし、価格データを加工したほうがより便利な場合もある。その幾つかをここで紹介してみよう。  \n",
"\n",
"1.価格自体 (p)  \n",
"\n",
"2.価格の対数 (lnp)  \n",
"\n",
"3.価格の変化率 (r)  \n",
"\n",
"4.価格の対数の差 (lndp)  \n",
"\n",
"5.価格の差 (dp)  \n",
"\n",
"がある。\n",
"\n",
"()の中はプログラム・コードに使う変数名である。  \n",
"\n",
"### 価格\n",
"価格はいつどの時点で、どのような価格であったのか、また、何時から何時までを価格の上昇、または下落ととらえるべきなのかを把握するためには大変便利である。また、どれくらいの期間上下動を繰り返したのか、目視で周期的な性格があるのかを把握するためにも便利である。 \n",
"\n",
"### 価格の対数\n",
"価格の対数は大きく2つの解釈をもつ\n",
"\n",
"1.瞬間的変化率d log(x)/dx=1/xからlog x=1/dxと表すことができ、対数が連続時間の変化率、または瞬間的変化率を表すと解釈することができる。  \n",
"\n",
"2.弾力性:価格と売買高の関係を見るときに、価格の1%の変化に対する売買高の変化を価格の弾力性というが、これは と書けるので、対数を弾力性と理解することができる。 \n",
"\n",
"価格の動きの傾向を長期で見るときには対数をとってみる必要がある。そうすることで、変化率がどの価格帯でも同じスケールになる。  \n",
"\n",
"### 価格の変化\n",
"2つ観測時期の異なる価格を比べることで、価格の動きを把握しようとすることがある。その際には、収益率、価格差、対数収益率などが用いられる。  \n",
"\n",
"### 価格差\n",
" 今日は日経平均株価が100円上がったといえば、それは価格差のことである。\n",
" もっとも頻繁に用いられる変数の1つである。\n",
" \n",
" その計算は単純であり、その特徴は線形性にある。しかし、価格差の意味するところはスケール変化の影響を受けやすい。\n",
"\n",
"例えば時間が経過すると価格のレベルが大きく変わる日経平均株価のような場合には、「何月何日には1000円上がり、その1年後にも1000円上がった」と言ってもその意味するところは曖昧である。なぜなら日経平均株価が5000円の時の価格差1000円と10000円の時の価格差1000円ではその意味合いが違うからである。  \n",
"\n",
"### 収益率 変化率(リターン) \n",
" 株式には配当があり、債券には金利収入があり、リターン、または収益率の計算にはキャピタルゲイン以外の収益が含まれていることがある。\n",
" \n",
" しかし、多くの場合には単なる変化率(rate of return)である場合が多い。変化率は(Pt+1-Pt)/Pt = xである。  \n",
"\n",
"### 対数収益率\n",
"\n",
"対数収益率、対数差分は変化率の近似を与える。 変化率を(Pt+1-Pt)/Pt=1+xと変形し両辺の対数をとるととなる。 \n",
"\n",
"1.対数収益率はブラック‐ショールズのオプション価格モデルで用いられていることで知られている。経済成長が一定である、価格の動きが定常であると仮定すると、数学的に解析解が得やすく、多くの学術的モデルではこの形式が用いられる。スケール変化の自動平均補正機能をもっている。 \n",
"\n",
"2.変数Pt+1が変数Ptの周りで循環的な動きをしている場合、それをPt+1 = 1+PtまたはPt+1 = 1-/(1+x)Ptで表す。この2つの式の両辺の対数をとってその和を求めるとlog(Pt+1)-log(Pt)=0となる。リスクマネジメントの世界では対数収益率の平均値はゼロと考える。 \n",
" 短期的にはこれら3 つの変数は近似的に等しい"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 日経平均株価の長期トレンドの把握\n",
"前節のデータの事前処理の知識を生かして、日経平均株価の長期トレンド分析を試してみよう\n",
"対数価格表示  対数価格を用いてグラフを表示してみよう"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f9dd2690a58>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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UVXX/f8GUKX/0vrbbz74RX7s2HcPwf1O5d+912O1Dt5RddySJFkIIETCe5G/+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\nREVF8cc//pE5c+awYsUKDh0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XX01kZCQpKSlcfPHFbNq0CYCFCxcyYcIErFYrX/jCFzrV\n895777F161YWLFjAvHnzeO+99ygrKwvOQ4mQ8V09YuLEX4QwkuCorPwdS5fWBbWN9PTPExGRF9Q2\nRrOQTCzUWj+rtT5fa30RUAeUdlHmj1rrAq11QWpq6tAHKYQQIVZUpDh9+m20drF9+3LAM1aysdt7\nqqrMTRrCwrLIyLh1SOLsq3NXT1BKYbPZvMMx2traei3f03kPrTU33ngjxcXFFBcXs3//flasWBGI\nRxDDiG9PbU7O6FujoKbmjU4T/sTwEqrVOdLcf+dijod+KRRxCCHEcOW7rXFt7ds0NKyirOz7NDZu\n4NixX3d5T0vLQQAiIvKZP3/lsFvyq6KigvXr1wPw0ksvceGFF5Kfn8/WrVsBeO211/zKv/nmm7S1\ntVFbW0tRURELFpjrXG/atInDhw9jGAavvPIKF17oP/Hpkksu4dVXX+XkyZMAnD59mvLy8mA/nhhi\nVmsEM2e+3nvBESYr66sA2GxJslPgMBeqdaJfU0rtAf4F3K21ru/tBiGEGCuOHHmUEyf+AsDEiU/S\n2noIMFfbaGoq5sgRc+k6h8N/MlVj4wby8h5k8eLDREZOHNKY+2Lq1Kn89re/Zfr06dTV1XHnnXfy\n8MMP89WvfpWCggKsVv8NHebMmcPFF1/M4sWLefDBB8nMzARgwYIF3HPPPUyfPp3x48dzzTXX+N03\nY8YMfvjDH3LZZZcxZ84cLr30UqqqqobsOcXQSUn5BHl53w91GAGVkXErmZl3c+bMRiyWsFCHI3qg\nfHs7hquCggK9ZcuWUIchhBBDoqjI7EFetOggNlsCa9eenSB40UUdlJf/kPz8h1m50kJh4dn/w0+c\neIG4uEVERUnvlRg7mpv3Eh09PdRhBERRkfL+my4qUixaVEZk5PgQRzX2KKW2aq17XVtQdiwUQohh\nxLPBApibLNjtyQBERk5i+XIDi8UGQEODOZnOMM4uTVVZ+fthtyKHEME2WhLorkhP9PAmSbQQQgwD\nWrsoKlKcObOVefNWAmC1xnqvKxXuHeNcXv4IxcUXkZPzbVpb97vvN2hsXBu0NWWFEENPKUmihzNb\nqAMQQoixrKLicaqqniUz83YATpz4M1Om/IHFiyv8eqG0dnS6NypqOps3m9vxhofnAqCU9I0IMVIp\nZfc7lp7o4U3+txVCiBDR2qCszOxNPnToG8yfv4aTJ1/GZoslIsJ/D6qYmPne1zk59xEZOYW0tM97\nz7W3VzBlysjfcEKIsezCC8+uC20OzbJ2X1iEnCTRQggRIlVVfyIyciqFhZrx4x8jPn4pYWEZncot\nWLCbmTNf8R67XK1kZX0FqzWCxMRLAYiMnILL1TJksQshAs93g6TFi8ux2WJCGI3ojQznEEKIIdDU\nVEJMzCzvyhuRkVNobS3loovaAcjLux+AJUuOdro3OnqG33Fi4ocIDzd7qufM+X+sXGkhMfFD8tGv\nEKOI1RoV6hBELySJFkKIIDMMJ1u2zPYbftHaWkpW1j2dEl+lev/4NjX1kz7lzSWxtDaA4bW5ihBC\njGaSRAshRJAdPPg1Jk78BYcOfZ3w8Byysu4mNnYh8fFLA9aGTCgUQoihJf/rCiFEELS3V1FUpDCM\nDiorf0tm5m0AnH/+VrKzv0Fi4sUy/EIIIUYw6YkWQogAa2urYMOGPABWrQojNrYAiyWKhIRLsNuT\npddYCCFGAfmfXAghAuTUqddwOE5x5MjDfkvSnXfeJpRSzJv3P0mghRBilJCeaCGEGARzQp8GLOze\n/WkAYmLOp6BgGxs2TCQn5z7vToNCCCFGD0mihRBiEI4ceRTDaCE19VOkpn6GU6f+SVPTVgCmT3+R\nmJg5IY5QCCFEMMjnikIIMUC7d3+GioofcfTo42zbtpi4uEUAzJ37AQDx8YtlrVchhBilJIkWQogB\nqK9fxalTr5KRcZv3XGbm3RQWahITC0MXmBBCiCEhwzmEEGIAiouXExk5lcjISRQWaurqPsBiCQ91\nWEIIIYaIJNFCCNFPTU0lACxcuNc7aTAx8eJQhiSEEGKIyXAOIYTop6qqP5Ca+llZdUMIIcYw6YkW\nQog+OnLkERyOaiorf8fy5a5QhyOEECKEJIkWQoheFBUpEhI+hM2WSE3Na0ya9EvZNEUIIcY4+S0g\nhBB9UF//PkrZmD79ZcaNuyXU4QghhAgx6YkWQgRdSck1TJ/+ElZrZKhD6TfDcJCf/wOSkz9KbOz5\noQ5HCCHEMCE90UKIoNq794vU1LzB8eNPhTqUXtXVFXH48EN+5/bv/zLNzTslgRZCCOFHeqKFEEHV\n2LgRgCNHVhAWlsa4cTeGOCJ/WrtQygrAjh3mMnVpadcSHT0NrTXV1c+zbFlTKEMUQggxDElPtBAi\nqNLSPg+AYbTQ0VEDQH39Shoa1ocyLJzOMxiGk5UrbTQ0bMAwnERHz8ZuT2Xz5pkA7Nv3JQCs1ugQ\nRg2YqpcAACAASURBVCqEEGI4kp5oIUTQKWVDaydWazwANTVvERaWQXz8kpDE43Q2sGZNAgBRUdMo\nLb2N1tZDJCdfSUHBDrZsmQdAdfVfmTTp1yGJUQghxPAmSbQQIui0dgJ4h03U1b2H01lHbu59IYnH\nk0ADtLQcAMw1n6OjZ6OUorl5J7W1/yEubgnZ2V8JSYxCCCGGNxnOIYQImiNHHuHo0Se8x4bRAkBK\nytW0t1fgcJwKegwuVxvt7ZV+57Ky7mHx4iNccMEJoqNnMHfu+6Sn30BHhxnPhAk/Zdeuj5Gefn3Q\n4xNCCDEySRIthAiaI0dWEBt7HpmZdwLgcrVgGE7vdYejqsv7OjpO+5UbjDNntrB+fRYORw3FxR8G\nwGZLIiIij7CwdM4/fxuJiRczceLPyckxe8at1jgA0tK+EJAYhBBCjD6SRAshgiY39wFmznyVKVOe\nZu7c9ygru59t2xYCmjlz3sHlOoNhdPjdo7Vm7dpkKip+EpAYiouXAbBuXSr19e/hcNRQXv6o97rF\nYo5qCwtLJSIiDzDHcMfHL8duTwxIDEIIIUYfSaKFEEETEzOPsLB0ABITPwQYNDVtp6VlLzZbPDU1\nb7JqVZjfPfX1KwE4cuTBAbXZ2nqIoiIrTmcDtbX/9bsWFpZFXd07TJv2lx7riItbTEbGTQNqXwgh\nxNggSbQQImgOHvxal+djYwuwWCI4evRx77mysgcoKlKUlFzN/PnrAHO3wO44nY1dnt+4cRJgsGZN\nArt2XUFi4qUsXXqa5cudzJ79Fnv3XofFEtFj3EpZCQ/P7uXphBBCjGWSRAshgsLhOElHx8kuryUl\nXUFMzBwAwsIyaGhYS0XFjwGIj19GdPQsANauTe7yfpermTVr4ikqUnR01Ppdy8n5DgBRUTOJj1/G\nzJn/xG7//9u78/i6qnrv4591hsxD0zRJQ5umKZR0Hmg6UTp4eUQUnJlFRL3CFUHhQVDvlVHxKrcq\nV72K4ABXQZkcUBEUHihtGdq0dG4pndKkTYc0aebpnLOeP87JadIMzXDO2Rm+79crr+y99tpr/856\nhfLLytprZWCMm9TU8wCor9/ZY+zJyVPJyLiwl59URERGIiXRIhIVb7yRw5Qpj3cqv+CCWlJSZobP\nW1rKeeedC8LnlZV/w+NJZcaMP5GZ+ZEu2169OiV8XFOzrsM1lyueceNuJjPzgwQCzXg86R2up6cv\nZ8KEO/v1mURERNponWgRiRqXq+N858TEyXg8pxLgwsJf8u67nwcgP/8e4uNzKSn5TyC4DF5t7Tud\n2rTWAsFNUoyJY//+fycz84O0tlZhjJeUlDlkZX2c5ubDZGZe2un+uXNfi9THExGREUwj0SISNUlJ\n0zqcL1jwbofz3NzPkZV1BQDNzWWcddaNLF58IHy9ubm0U5s7dgS3EZ8zZzXz52+mrm4TAGvXjmbN\nmlRqa4sBiI8/i1Gjlkfss4iIiLSnJFpEIi4QaKag4NskJ0/tUG6M6VT37LODm7HU1KztdO3IkV9h\nbaBD2fHjTwMQFzcmXNbQsDt83Ni4t/+Bi4iI9JKSaBGJuC1bPkhNzVu9qpuQkAdAQ8OuLq/7fFUd\nzvPz72HhwlOJckrKPI4e/S1e7xjmzn0Djye1n1GLiIj0npJoEYm45ORZTJ78sz7dM3Pm3zqV5eV9\njbVrT404W2spKbmPxMRJ7e77M/Hx4znrrC+Rnr6Yc899pP+Bi4iI9JKSaBGJuJaWchIS+rbOclfz\nlwOBhg7nPl91pzoeTya7d98YPu9qyoiIiEikKYkWkYiy1h+et9wXLldSp7K2uc6BQDONjQfw+So7\n7Tbodgc3TvH7u958RUREJBqURItIRK1a5SElZV6f7pkx489djiDPmPEnsrOvobW1irffLqCl5Qge\nz+gu26ipebtf8YqIiPSHkmgRibizz/5en+qPGdP1pipudwIZGRdibXD7782bL8Tr7ZxEp6Utwusd\n06lcREQkWpREi0hE5effFdEts42Jw+erIi4ul0CgCY8no1OdSZMeJC1tccSeKSIicibasVBEIqap\nqZSTJ1+NaJsuVxybNq3A5zsJgNud1qnOqFFLGTVqaUSfKyIi0hMl0SISMW+9NSHibQZHok+Gz/u6\n6oeIiEg0aDqHiERUfHxkk1yXywvAlCmPd/tSoYiISKxpJFpEIsLnCy4xN2nSf0W0XWstAGPGfJTs\n7Ksi2raIiEh/KYkWkYhobj4EgDGR/WfFWh8AbncqxuiPZyIiMjjo/0giEhHNzYfwesdEPNH1ejMB\nlECLiMigov8riUhENDeXEReXS6T/WXG7kyPanoiISCQoiRaRiNi793YyMy8lPv6siLZrTBznnvtI\nRNsUEREZKM2JFpEBq619B5+vkkmTvhPxtpOSJpOQkBfxdkVERAbijEm0MaYIWAqcBTQC24B/Wmur\nohybiAwRVVUvR61tlyselys+au2LiIj0R7fTOYwxnzXGbAS+ASQC7wLHgAuAl40xjxtjIr+zgogM\nOa2tx0hImOh0GCIiIjHT00h0ErDEWtvY1UVjzBxgMnAwGoGJyNDhdqeyYMF7TochIiISM90m0dba\n/+numjEmzlq7qb8PNcbcBvwrYIGtwGettU39bU9EnGWtH5dLr1iIiMjIccbVOYwxrxljJrY7XwCs\n7+8DjTHjgC8DRdbaGYAb0DZkIiIiIjJk9GaJu/8EXjTG3GSMeQB4GPjsAJ/rARJNcGuzJODwANsT\nEYfU1W2jpOR+p8MQERGJqTP+/dVa+5Ix5t+AfwIVwFxr7ZH+PtBae8gYs5LgXOpG4B/W2n/0tz0R\ncVZDwy7i4iK7NrSIiMhg15vpHHcBPwaWAfcCrxljLunvA40xGcBHgQKCy+YlG2Ou7aLeDcaYYmNM\n8fHjx/v7OBGJssbGPSxcuNvpMERERGKqN9M5MoEF1to3rbU/Bz4A3DqAZ/4fYL+19ri1thX4A3D+\n6ZWstY9Ya4ustUVZWVkDeJyIRNP+/d/Q1twiIjLinDGJttbeaq1tNMYkhc5LrLXvH8AzDwKLjDFJ\nxhgDXAjsHEB7IuKQ0tLv4/FkOh2GiIhIzPVmOsdiY8wOYFfofLYx5qf9faC19m3gWWAjweXtXMAj\n/W1PRJyzd+9Xyc//htNhiIiIxFxvFnZ9iOAUjucBrLWbjTHLBvJQa+09wD0DaUNEnJeffzd5ebc7\nHYaIiEjM9WZONNba0tOK/FGIRUQGuV27Pktd3ZbweVXVPx2MRkRExDm9SaJLjTHnA9YY4zXGfBXN\nYRYZcY4e/R1HjjxG+382MjIuciweERERJ/Umif434EvAOOAQMCd0LiIjyM6d1wBgTPCfDWutk+GI\niIg4qjebrVQAn4pBLCIyyJ111hexNjibKxBowu1OdDgiERERZ3SbRBtjfgx0O9Rkrf1yVCISkZhp\nba3C683oVd2cnOtIT1+KtT4AAoEGXC4l0SIiMjL1NJ2jGNgAJADnAe+FvuYAcdEPTUSiqbHxAGvX\nju5VXZ+vBo8nHbc7NZxEt7QcxRh3NEMUEREZtLpNoq21j1trHwdmASustT+21v6Y4OYoc2IVoIhE\nx4YN5+FyJZyxXl3dFnbuvI6MjAsxxhOezrF+/XSqq9dGO0wREZFBqTcvFmYAae3OU0JlIjKE+XxV\nZGdfHU6Ku1NcPJsTJ/5MQkIBxrhpbT1GdfUbAEyZ8utYhCoiIjLo9Gazle8C7xhjXgUMsAy4N5pB\niUj01NS8TXPzIXJz/xWXK4HW1gri4nLOeF9CQj6trSeoqXmTmpr1ALhc8dEOV0REZFDqzeocvzbG\n/B1YGCr6mrX2SHTDEpFoaW2tIBBoxO9vJDV1fo8j0a2tJwDIzr4GjycdYzwcPPhd4uPzycz8aKxC\nFhERGXR6tWMh4AaOA1XAuQPd9ltEnHPs2NPs3HktcXE5GBNHINDSbd2amnXk5X2NadOeAAi/SDhm\nzMdIS1sUk3hFREQGozOORBtjvgdcCWwHAqFiC7wexbhEJErq64PbdickFJCdfTnGdD8lo6rqFVJT\ni8LnbUl0ff02EhLyoxuoiIjIINabOdEfAwqttc3RDkZEoqu1tZK6uk0sXx7AGHPG+mVl32fJkorw\nubUB0tIWcfLkK6SlLezhThERkeGtN9M59gHeaAciItFXVvZDgHAC7fNVU1+/vcd7vN7M8LG1rRjj\nxe1OYezYz0QvUBERkUGuNyPRDcAmY8wrQHg0WjsWigw98fEdp2AcOfIbSkruY8mS47S2VlFT8xaZ\nmR/s9v62JHrp0tpohyoiIjKo9SaJfj70JSJDXEnJ/RQVbQqfJyRMJCVlHq+9dmpqR3b21Zx77s9x\nuRLIzb2xw/3JyTMoKPh2zOIVEREZrHqzxN3jsQhERKKrtfUkzc2lJCfPCpcZ46Gq6qUO9Y4d+x35\n+f/B+vUzycm5tsO1uLicXq0pLSIiMtx1OyfaGPN06PtWY8yW079iF6KIRMLJk6+QlDSlwwuFmZkX\nh49nzPhz+Li8/FeA5ZxzHopliCIiIkNGTyPRXwl9vzQWgYhIdBkTx6xZL3V5LTV1AenpSwGYO3ct\nhw8/TH7+3Xi9o2MZooiIyJDR7Ui0tbY89L2kq6/YhSgi/bV588VYawkEWtm27SN4vVld1ps06Xt4\nvRlkZV1OcvJM6ureiXGkIiIiQ0tvdywUkSGoquol1q7NorU1uNaz253YZb2MjBUATJ/+NB5PKvX1\n2ygpuT9WYYqIiAw5SqJFhqlAILgipc93grq6Tcyd+0av701JmcP55x+PVmgiIiJDnpJokWFqz57b\nw8dNTQe63aY7M7Pzaw9FRe8QFzcmarGJiIgMdT2tznFxu+N0Y8wvQytzPGmM0RpXIoOYtZbDh/+H\nzMwPA/DeezcRFze2y7ozZ/4llqGJiIgMCz2NRH+n3fH3gXLgw8B64OfRDEpE+s9aS0PDTgBycj4V\nLjdGf3gSERGJlN7+X7XIWvvN0MocPwQmRjEmkV7x+xucDmHQWL9+Tvh41SoXJ0+uYu7ctWRnX0lh\n4a/xejU1Q0REJJJ6SqKzjTH/1xhzO5Bu2u/QoLnUMgisXp3sdAiDgs9XS3395tBxHRCcvtE2Bzo3\n93qWLNFLgiIiIpHUUzL8KJAKpACPAWMAjDFjgU1Rj0ykFwKBFqdDcFxt7TqMiQtN49jF6NEfBCA+\nfpzDkYmIiAxf3e5YaK29r5vyI8B1UYtIpBestQAcPvwI48ff7HA0zmpqOkha2kJKSh6grm4jY8Z8\ngsrKvzsdloiIyLDW47QMY8wUY8yFxpiU08ov7u4ekVhobT3BqFEr2LPnFqdDcVxz80Gqq1dz4MBd\npKUtJjf38yxZUuV0WCIiIsNaT0vcfRn4M3ALsM0Y89F2l7/T9V0i0Vdfv4OKiufC0xZGOmsD4eN9\n++7EGIPXO8rBiERERIa/nkaivwDMs9Z+DFgB3GWM+Uromun2LpEo27HjSnbv/jeSkqY4HcqgsXx5\nMJHOzb3R4UhERERGhm7nRAMua20dgLX2gDFmBfCsMSYfJdHiEGsD1NdvAyApqZD4+DyHIxocjDHk\n5X2Ns8/+rtOhiIiIjAg9jUQfNcaEF58NJdSXElylY2a0AxPpSmtrJaNHB6fkx8ePZ+zYz/W7rdde\nG/q/C9bVbaW8/BcASqBFRERiqKck+jrgSPsCa63PWnsdsCyqUYl0wVrLiRPPk5HxAQBcriSOH3+W\n6uq17er4wyt39MZrrxkqKv4a8Vi70n7ucqSUlq5k7NjPRLxdERER6Vm3SbS1tiy0nF1X19Z2VS4S\nTa+/Hk9FxZ9JTT2PsWM/hzGGhobtnDy5KlznnXeWUVb20Bnbap9ob9v2YZqaDkYl5jYVFc+zapU7\n4qPfR4/+LwUFD0S0TRERETmznlbnmGmMecsYU2qMecQYk9Hu2rrYhCdyirWtnDjxPCkps5ky5ZcA\nuFzJtLaeCNeJj88jLi77jG3V1W3G680Jn/v9tZEPuJ1t204tbtM+3oGor98FBOdDi4iISGz1NJ3j\nZ8C9BOc/7wbWGGPODl3zRjkukU5criQA3O5Ty5bPnv0PwLarE0dFxV/O2FZ19Wpmzfpb+LyhYXfk\nAj2DtWvHRKSd9euncvbZ349IWyIiItI3PSXRqdbaF621J621K4GbgReNMYton7WIxEh6+hIAjHGH\nyzye0ZSV/TB8fvTobzh+/ClOnlzTbTv19bvYs+fLJCYWsmKFJT//LrZv/0TU4q6t3dCprK5uc6ey\nsrIfAXDy5CpqazcSCPi6bbOxcT8AY8ZEL24RERHp3pl2LExvO7bWvgp8EvgNkB/luEQ68PsbcbkS\nO5W73cnh40DAR2pqEQCtrRVA8MXB06dPNDQEp0F4PMER7czMS8jO/lRU4gaoqPgLmZkfZsKEf2fq\n1CdISZlHcfEcfL66cJ3q6rXs2fMVAgEfmzatYMOGebz+evd/8Hn77XMAejV1RURERCKvpyT6e8DU\n9gXW2i3AhcAfohmUyOmamw+SnX0FK1Z0/CNIQkIe+fn3AODzVRIXNw6AQKApXKe+fnv4+MSJF9i+\n/ePMmbM6XJaYWEhy8oyoxV5bWwwYJk16gJycawA/AGvWpNLQ8B6trSc4fvw5AF5/3YvHM4qJE+9j\nwoSv99BqcKUPtzspanGLiIhI93paneNJa+1bXZQftNZ+IbphiXTk853E48no9nog0EJFxZ/IybmG\nRYtKqa19O7wSxvHjzwDQ0PAeW7deQmbmh8NTQyA4j3r//m9EJe6amnXU128mO/vKcFlq6nymTfs9\nAOvWncu+ff9BWdkPKSz8FQBebxYTJ95Nc/PhLpfrq6kJvtd7wQUnoxKziIiInFm3OxYaY35N93Of\nrbX289EJSaSzYBKd3uW1pqb9rFmTQSDQwKRJ32PMmE90WObu0KGfkJq6gF27rgPgxIm/dFjRwpjg\ntIlAoBmXKz5iMQcCLWzcuBAgNAIddO65P8cYg99fz7vvfp7y8p8DMHbsZ9i//y7mz98BQEJCAYFA\nM253Qod2W1qOMnv2q932h4iIiERfT9M5/gr87bSvtukcH4h+aCKnbNlyMS0tx7q8dvTo/xIINJCd\nfRXZ2Vfhcp363XDx4rLQUXD6Q1dTJFyuYBK9dm02jY0HIhZz24jxsmUtHcrbEvjc3M+xZEkVAOef\nfxRjXJx/flk4fq93DH5/HQ0NezqMSFdWvqS50CIiIg7raTrHc21fwDvAB4GbgO8Ck2IUnwgAOTmf\nYfTonn93c7mSSEiY0KEsPn4c06f/gUCglfz8u5k06T9ZvrzrnQP9/hrefrugy2vNzYeor9/Zp5it\nbQnF1f0Lgl7vqND3zE7XPJ5U9uy5lXXrJnfYUObw4f8hKWlqp/oiIiISO2danWOKMea3wF+ANcA0\na+3PbFt2IBIj8fHjz/gSnc9X1eH8vPOCI8GjR1/E7t1fAIIjwGfanCQQaO5UVlb2EPv3f7MPEcOR\nI4/1ql5wFNrdqdznq+HYsScA2Lv3qwCsWhWcbqINVkRERJzV046FzwAvAG8CK4DngTRjzGhjzOjY\nhCcCfn9Dl0lmm7YNRyoq/hguW7hwH2lp84FTm7S0tBzuto3p058NHzc3l7Fx4/msWzcdgECgldLS\nlVRU9G1RmqNHf9Oret1NzWhpOQLA2LGfIyVlNq2tlej3VxERkcGh2xcLgfkEXyz8KnB7qKxt+Mui\nKR0SI6tXJ+PxZFJQcF+X17uaCpGYeGpaRtuobWXli90+49QSdy42b34/6elLqar6BwAlJfeH67W0\nHCUuLqeLFrp2zjk/6nXd0+Xl3UFq6nz8/moaG/ezdm0mmZkfPeO0FhEREYm+bpNoa+3EGMYh0iWf\nrzr0/US3dTIzL2X+/J2sX9/zPGG/v6Hba0lJhUya9F2Sk2exdeuHyM39AkeP/i8QHMmeNu0pTpz4\nG2+8MTa8VnVJyX+Snn4+o0Yt77LNvLw7GT/+lh5j6onXO4qsrI8BhJfrmz79aVyuuH63KSIiIpHR\n03SOiT3daILGRzogkfbapjTMnv1qt3W83kySk6ecsa2eEnGACRO+RkbG/wEgEAgm3Nu3X0Ug0ER2\n9hUUFARHpP3+RgAaG3eHV+Bo7+jRJ1m9Op3S0gfPGFNfDZUE+qGHHqKhoftfWtpMnDiRioqKTuX3\n3nsvK1eujEZoIiIiEdHTi4X/ZYx5zhhznTFmujEm2xgzwRjzL8aYbwFrOW1HQ5FIW7duCvn5d5GR\nseKMdadPH/hGmm0rabS0HOess75IYuI51NVtBiAhIbjb/b59dwIQH5/Pvn13Egj4OrSxc+en8Ptr\niIs7a8DxtElPX8b06X88c8VBordJtIiIyFDV0xJ3lwN3AYXA/wCrCb5c+AXgXeBfrLX/jEWQMrJN\nnNj1XOjTZWV9vNtr5533dq+fl5Iyl/Lyn1NQ8B0OHnyAEyf+HL42ZcrjHDr0E1pajlFSch/Z2dfQ\n0LCry3Z62mGxr+bOXRWe2jHY1NfXc8kllzB79mxmzJjBfffdx+HDh3nf+97H+973PgC++MUvUlRU\nxPTp07nnnns63P/ggw8yc+ZMFixYwJ49ezq1v3fvXi6++GLmzZvH0qVL2bWr6/4WERGJpR6XuLPW\n7rDW/oe1doW1ttBaO8dae7W19rfW2qZYBSkjU1XVK8TH50VkObe0tAW9TsbbXtxr2xEwIeHUS4pZ\nWZ8E4I03gi8Xjht3C3v2fLnD/fn5dwMdV/wYzl588UXOOussNm/ezLZt27j11ls566yzePXVV3n1\n1eA0nAceeIDi4mK2bNnCqlWr2LJlS/j+9PR0tm7dys0338ytt97aqf0bbriBH//4x2zYsIGVK1dy\n0003xeyziYiIdKen1TkAMMZ8ooviamCrtbbrLeREIqCy8h9MnfpExNqbOPHuXtXLyfk06enLMcYw\ne/YrpKUtDF9zu5OZPv0P1NYWk59/FxCgtbUCa22nZD8p6dyIxT6YzZw5k9tvv52vfe1rXHrppSxd\nurRTnaeffppHHnkEn89HeXk5O3bsYNasWQBcffXV4e+33XZbh/vq6up44403uPzyy8Nlzc2d1/EW\nERGJtTMm0cDngcVA25tdK4ANQIEx5n5rbe8WwxXpo9LSB5k06bsxf25y8jSSk6cBkJHxL52uZ2V9\nvMPUkfr6rRQXz2b+/ODoqs9XFV7BYyQ499xz2bhxIy+88ALf/OY3ufDCCztc379/PytXrmT9+vVk\nZGRw/fXX09R06g9Z7X/5OP0XkUAgwKhRo9i0aVN0P4SIiEgf9TidI8QDTLXWftJa+0lgGsF1ohcC\nX+vrA40xhcaYTe2+aowxnf+GKyNefv7dQ2Znvvr6rdTUrMfnq+Xo0d86HU5MHT58mKSkJK699lru\nuOMONm7cSGpqKrW1tQDU1NSQnJxMeno6R48e5e9//3uH+5966qnw98WLF3e4lpaWRkFBAc888wwA\n1lo2b94cg08lIiLSs96MROdZa4+2Oz8WKqs0xrT29YHW2neBOQAmuA3dIWDoLDsgMdHUVEJl5Yvd\nbrAymGRkXERV1T8oL/8FOTmf6rT9+HC3detW7rjjDlwuF16vl5/97Ge8+eabXHzxxeG50XPnzmXK\nlCnk5eWxZMmSDvdXVVUxa9Ys4uPj+d3vftep/SeeeIIvfvGLfPvb36a1tZWrrrqK2bNnx+rjiYiI\ndMlY2/OfnY0xPwUmAM+Eii4DSoE7gL9aa9/X74cbcxFwj7V2SU/1ioqKbHFxcX8fI0PQtm2fIC/v\nTtLTFzkdyhm1bYQCMG9eMRs2FI2o6RwiIiLDiTFmg7W26Ez1ejMS/SXgE8AFofPHgedsMPvudwId\nchXQeehJRqyamvVY20pFxR+ZMuUxp8PpleXL/YBh1SoX1dVrmDVLKz+KiIgMd2ecEx1KltcA/w94\nBXjdnmn4uheMMXHARzg1wn369RuMMcXGmOLjx48P9HEyBDQ07GHjxgW0tlYC4PGkORxR7xjjCs/d\n3rPnVtzuJIcjEhERkWg7YxJtjLkCWEdwGscVwNvGmMsi8OwPAhtPm28dZq19xFpbZK0tysrKisDj\nZLBbt24ycXFj8ftrWbBg6G2o4XIlh74riRYRERnuerM6x38A8621n7HWXgcsILiT4UBdjaZyyGla\nWo6wc+c1eL3ZTofSZ+PHBxeZcbuTHY5EREREoq03SbTrtE1VTvTyvm4ZY5KB9wN/GEg7Mnz4fHXk\n5X01fO7xjHIwmv6ZNOnbALhc8Q5HIiIiItHWm2T4RWPMS8aY640x1wN/A14YyEOttfXW2kxrbfVA\n2pHhY//+b3LkyG8YO/Z6oPOmG0OJ16vpRyIiIsNdb14svAN4BJgV+nrEWtvnTVZEelJZ+QIZGe8j\nO/sqp0MZkOXLA7jdiU6HISIiIlHWmyXusNY+BzwX5VhkBGtsfI+FC3fT2LiXhISznQ6n34byCLqI\niIj0Xrcj0caY2tCW3Kd/1RpjamIZpAxfJSUPdDh3uRIIBJocikZERESkd7odibbWpsYyEBl56uq2\nsH//NzHGS9vvc15vFlOnPu5sYCIiIiJnMKBVNkQGorh4NgCHDz/M1Km/AcDliiMj40InwxIRERE5\nIyXR4oj2m17m5d1JTs41DkYjIiIi0jdKosURfn8do0d/iLPOuomTJ191OhwRERGRPlESLY4oLf0v\nPJ5RZGRciN9f73Q4IiIiIn2iJFpiLhBooaTkW+TmfoH6+h1UVv7N6ZBERERE+kRJtMRcVdUrJCSc\nTUbGCgIBjUKLiIjI0KMkWmLu4MHvMmXKYwC43emMHn2xswGJiIiI9FGvdiwUiZRAoIXq6tdJS5sP\nQHb2FYwZ81GHoxIRERHpGyXRElONje+RlDQVlysegMTESQ5HJCIiItJ3SqIlZny+OoqL5zFr1t+d\nDkVERERkQDQnWmKmouI5rG0mOXmG06GIiIiIDIiSaIkZa/0AxMVlORyJiIiIyMAoiZaYKSn5blgg\nCQAAIABJREFUFikp85wOQ0RERGTAlERLTBw+/ChNTQcoKip2OhQRERGRAVMSLTGxe/cN5OR8xukw\nRERERCJCSbREXUPDHgDi48c5HImIiIhIZCiJlqgrK/s+AB5PmsORiIiIiESG1omWqDtx4u8sX+7H\nGP3OJiIiIsODshqJutbWo0qgRUREZFhRZiNR1dJyTMvaiYiIyLCjJFqiqrT0+9TXb3Y6DBEREZGI\nUhItUVVT8xbz5+9wOgwRERGRiFISLVHT0nKc6urXSUjIczoUERERkYhSEi1RU1e3kdTUIqfDEBER\nEYk4LXEnUbNz57UsXLjP6TBEREREIk4j0RI12dlX4fGkOh2GiIiISMQpiZaoaGh4j8OHH3E6DBER\nEZGoUBItUbFu3blOhyAiIiISNUqiJeKs9QOwcOFuhyMRERERiQ4l0RJxx449A0BCQr7DkYiIiIhE\nh1bnkG75/Y289VY+S5Yc6/U969bNwONJZdGikihGJiIiIuIsJdHSSUXFX9m27cPhc2stxpge72lp\nOc7WrZfQ0LAdgPh4bbAiIiIiw5eSaOmkunoNAOPH34bPV421fozp+UeloWEHtbXrSUw8h+TkGWdM\nukVERESGMs2Jlg4aG/fhdicDUFb2QxITJ2Nt6xnuOcCmTSsASEqayowZf4x2mCIiIiKOUhItHZw4\n8Teqq9dwzjkPAXDs2JM0NfW862Bx8SwAFizYTWHho1GPUURERMRpSqKlg0OH/oeqqn8wfvxXWLHC\nkpV1GYFAS4/3jBnzUebOXUNS0mTi4nJiFKmIiIiIc5RESwfWtjBhwjfC5ykp52FtMIluaTlKTc36\nDvXr6rZy9OhvSU9fEtM4RURERJykJFo6yMm5jkmTvhM+b2ray8aNi/D769mx4yo2blwQvnbo0M8o\nLp5Ffv7dToQqIiIi4hgl0XIa2+HM5UoEgiPOJ0++1uHae+/dBIDXOyYmkYmIiIgMFkqiJayy8p+U\nlNzfoWz06A8Cp5a9c7tTOX78OQKBFnJzv8C4cbfg8YyKeawiIiIiTlISPcJt2LCA+vqd+Hy1NDbu\nZcKEr3e4npCQR2Hhr9m37w4mTrwfv7+W7dsvo7FxD+XljzJ58o8YO/bTDkUvIiIi4gwl0SNcbe16\n1q+fxtq1WVjbwvjxt3eqk5NzLQBebxaLF5cBsGXLh0hNXRjTWEVEREQGCyXRI5jPVw3AmDEfZ+zY\n6zhy5HHi4jrPb3a5grsVBgKNxMePIyVlDs3NJR1eQBQREREZSZREj1DWWrZs+RAAWVmXU17+KHV1\nG7utn5h4DpmZwfozZvwZrzcLtzs1JrGKiIiIDDYepwOQYEJrjInpM2tq3qam5g3mz99BQsJE5s/f\nQVxcdrf1fb7acNKckDCBUaOWk5CQH6twRURERAYVjUQPAuvWFcb8mSUl3wIgOXkqbnciyclT8Xoz\nu62fm/v5DkvZpadf0GPSLSIiIjKcaSR6EGhpORbzZzY1HWDZsuZe15806YEO5+PHfyXSIYmIiIgM\nGRqJdpi1Fr+/OubPHT36IlyuuJg/V0RERGQ4UBLtsECgGWPiu7y2ffvlUXuu250etbZFREREhjsl\n0Q7z++vweLpe5eL48WdpajoY8WdWVPyVkpL7It6uiIiIyEihJNphfn8tgUBTp/Jjx54F4K23Ir8C\nRn39NhYtKol4uyIiIiIjhV4sdJjfX4ffX9ep/MSJ5yP+LGstq1YFf2/Kz//6GWqLiIiISHccGYk2\nxowyxjxrjNlljNlpjFnsRByDQXn5I0AwwW2vubk0fFxZ+Y+IPKul5WhE2hEREREZ6ZyazvHfwIvW\n2inAbGCnQ3E4btSofwGgqWlfh/KTJ19j0qQHAdiy5QMReZbPV8k55zzEsmWdp4+IiIiISO/FPIk2\nxqQDy4BfAlhrW6y1J2Mdx2DhdicD4Pc3dLo2YcIdJCVNZ8yYjw/4OatXp9LQsIv09AtwubpeDURE\nREREeseJkegC4Djwa2PMO8aYXxhjkh2IY1Bobi6jsPBXBAKN4bJAoJmMjODo85w5r5CUNG1Azwiu\nRV3H9u2fJDl5xoDaEhERERFnkmgPcB7wM2vtXKAe6PSWmzHmBmNMsTGm+Pjx47GOMWaCS9yldUii\ny8r+m6qqlwCIi8vBGPeAntHSchSXKwFAo9AiIiIiEeBEEl0GlFlr3w6dP0swqe7AWvuItbbIWluU\nlZUV0wBjKRBowe1OIxA4tQV3c/Oh02qZfrdvbYCysh8wbdpTFBb+st/tiIiIiMgpMU+irbVHgFJj\nTGGo6EJgR6zjGCysbcHtTu2QRKemzmfBgt0Rab+0dCWlpf+FxzOa3NzPRaRNERERkZHOqdU5bgGe\nMMZsAeYA33EoDsdZ24rbnXLanOj68AuHwfMm/P7Grm5v106Abds+zsGD3+tQ3tR0EI8nk7i4sZEN\nXERERGQEcySJttZuCk3VmGWt/Zi1tsqJOJxmrcXaANa2smPHNeFyv79jEm2tj5KSb/fYlt/fQEXF\nn9i3r+P0cq83gyVLjpOUdE5kgxcREREZwbTtt4NOnHiekpL7sbYF8FNTsx6AlpZjuFynkmivdzQH\nD36HpqbSbloivHX4hAn/3qG8tPQHGNP/OdUiIiIi0pmSaAcFAi1AcCoGwMmTr+Lz1VFa+j1crlM7\nsns8GUDPOw76/dWcffb3MSZ4X1NTGfX1u8jL+2q0whcREREZsZREO8jligsdBbf8rq5eTVPT/k71\nxo79DEB42bv23nxzAhCcApKVdRklJfdz6NBPqaj4E+vXT6WlpTw6wYuIiIiMYJ4zV5Fo2bbtY8yc\n+UJ4JPrEib/idqczbtyXO9Rzu5MA2L//m3i9WeTmfp4tWy4mO/tTNDeXYq2lru4d0tOXkZPzGd57\n70vhe73eMbH7QCIiIiIjhEaiHZaUVAgEwufHjj3BoUM/6lRv+XIfubk30tx8iOrqN6iqepl33/0s\nAFVVL1NZ+U/c7mTOOechvN5s0tOXMWvWS0yaNGIXPhERERGJGo1EO8zlSuo0WlxY+ItO9YxxExeX\ng89XSWvriXD5tGlPYW0Lx449QWHhL3C7E1iypPu50yIiIiIycBqJdoi1llGjVhAfP5bk5GlkZV0Z\numLIzf18l/e0tJRTU7OeysoXyM+/izFjPkZa2vlUV68BtKW3iIiISKwoiXZIINBMauqC8Lm1zUyf\n/hxtLxl2pbz8URoattPQsBOPJ4OKij+RkDCegwe/C6Cl7ERERERiREm0Q3y+KjyetPB5INDcq5Hk\n1NSFVFevYdy4m1i+PDiXevToi6MWp4iIiIh0pjnRDtm27eOkpMwMn/v99RgTx7RpT/V4X3LyDNzu\nlA4Jd2Xli8yc+ULUYhURERGRjjQS7RBjDGPHfjZ8Xl39OlVVr5CdfUW398TFjWP06IuYOfNPHcqn\nT/8Do0Yti1qsIiIiItKRRqIdkppaRFLStPB5fHw+ubmf6/GexYtLMMbdqTwr6+MRj09EREREuqeR\naId4PKPxeke1K7EY4+3xnq4SaBERERGJPSXRjum4koa1fozRHwZEREREhgIl0Y7puJSd1zsGlyvO\noVhEREREpC809OkQn6+yw3lR0QZN1xAREREZIjQS7ZDjx5/tcK4EWkRERGToUBLtkNzcG50OQURE\nRET6SUm0iIiIiEgfKYl2TMDpAERERESkn5REO8Dnq+XQoR87HYaIiIiI9JOSaAe0tJRTUPAdp8MQ\nERERkX7SEncxVF39Fu+8s5j4+DwyMi5yOhwRERER6SeNRMdQS8thAJqbS5k48V5ngxERERGRflMS\nHUOBQGP4OCFhvIORiIiIiMhAKImOoUCgCYD8/HscjkREREREBkJJdAz5/cGR6IKCe50NREREREQG\nREl0DNXXb3U6BBERERGJACXRMVRe/oi2+xYREREZBpREx1hh4cNOhyAiIiIiA6QkOoby8+92OgQR\nERERiQAl0TFSW7uB0tIHnQ5DRERERCJASXSMNDeXYa3P6TBEREREJAKURMeIy5XAtGlPOR2GiIiI\niESAkugYCQRaiY/PczoMEREREYkAJdEx4vfX4XanOB2GiIiIiESAkugY8flO4HanOh2GiIiIiESA\nkugYsNby3ns34/EoiRYREREZDpREx0BDw04ATecQERERGSaURMeAta2MHv0hjHE7HYqIiIiIRICS\n6Bjw++sYP/5Wp8MQERERkQhREh1l1gbw+U7i8YxyOhQRERERiRAl0VHU3HyYd965QEm0iIiIyDCj\nJDqKWlqOUFPzJrW1G5REi4iIiAwjSqKjqLn5MABlZT/E40l3OBoRERERiRQl0VFUXb06fOxyxTkY\niYiIiIhEkpLoKCovf5S0tEVOhyEiIiIiETZik2i/v4HW1pMANDS8G5Vn+HxVnHfem1FpW0RERESc\nM2KT6IqKP7J2bQYA69ZNicoz8vPvBqCg4DtRaV9EREREnDFik+i6uq0dzqM1Gg2Qn/+NqLUtIiIi\nIrE3YpPouLixHc4rK/8Zsbbr63eGjkzE2hQRERGRwcPjdABOycu7FZ+vCoD09OUkJp4TsbbXr5/G\nsmXNxMePi1ibIiIiIjJ4jNiR6DbNzYeorl5Fc3NJhNstwxhvRNsUERERkcFhhCfRhqamgwDs3v1v\nEWnx6NHfh9q7Ca83MyJtioiIiMjgMqKT6JKS+7DWB0Ba2uKItFlX9w4AVVUvaatvERERkWFqRCfR\nbSZN+l54RHqgXK5EcnO/AKCRaBEREZFhypEk2hhzwBiz1RizyRhT7EQMbU6ceJ709AtoaTkUkfYS\nEiYyYcLXMMZLcvK0iLQpIiIiIoOLkyPR77PWzrHWFjkVQHb2NVjrw+1OJSlpakTaPHz4Z7hcycyf\nvyMi7Q0FBw4c4MknnwyfP/bYY9x8880ORiQiIiISXSN6Okdu7udpba3C7U4hK+uKiLR53nlvEh8/\nlqSkyC2ZFws+n6/f956eRIuIiIgMd04l0RZ42RizwRhzQ1cVjDE3GGOKjTHFx48fj0oQbncqR48+\njsuVGLE26+u3RaytSHnhhReYMmUK8+bN48tf/jKXXnopAPfeey+f/vSnWbJkCZ/+9Kdpamris5/9\nLDNnzmTu3Lm8+uqrAFxyySVs2bIFgLlz53L//fcDcPfdd/Poo4/y9a9/ndWrVzNnzhx++MMfAnD4\n8GEuvvhiJk+ezJ133unApxYRERGJHqc2W7nAWnvIGJMN/NMYs8ta+3r7CtbaR4BHAIqKimw0gnC7\nUwAwxtP2TIzp/y6DjY17KS6ezYoVUQm3X5qamrjxxht5/fXXKSgo4Oqrr+5wfceOHaxZs4bExES+\n//3vY4xh69at7Nq1i4suuojdu3ezdOlSVq9eTX5+Ph6Ph7Vr1wKwevVqHn74YSZPnszKlSv561//\nCgSnc2zatIl33nmH+Ph4CgsLueWWW8jLy4v55xcRERGJBkdGoq21h0LfjwF/BBY4EYfbnYrbnUJc\n3Biamw9SVvaDAbXn89WQkjInQtFFxq5du5g0aRIFBQUAnZLoj3zkIyQmBkfi16xZw7XXXgvAlClT\nyM/PDyfRr7/+OmvXruWSSy6hrq6OhoYG9u/fT2FhYZfPvfDCC0lPTychIYFp06ZRUhLZzWxERERE\nnBTzJNoYk2yMSW07Bi4CHJkD4fGkAsGR59bW4+zd+9UBtVdaupLJk38SgchiJzk5+Yx15s+fT3Fx\nMatXr2bZsmXMnTuXRx99lHnz5nV7T3x8fPjY7XYPaM61iIiIyGDjxEh0DrDGGLMZWAf8zVr7ogNx\n4HIl4/fXAeB2pw+4vWPHnsTrzRpwO5FUWFjIvn37OHDgAABPPfVUt3WXLl3KE088AcDu3bs5ePAg\nhYWFxMXFkZeXxzPPPMPixYtZunQpK1euZNmyZQCkpqZSW1sb9c8iIiIiMljEfE60tXYfMDvWz+2K\ny+Uh+I4jxMX1P/n1+WqprPw7AAkJBZEILWISExP56U9/ysUXX0xycjLz58/vtu5NN93EF7/4RWbO\nnInH4+Gxxx4LjygvXbqUV155hcTERJYuXUpZWRlLly4FYNasWbjdbmbPns31119PRkZGTD6biIiI\niFOMtYPnJbjuFBUV2eLi6OzJsn//XRQUfIu9e79Oaen3+vVS4IkTf2fr1kuZOPEeJk68OwpRDkxd\nXR0pKSlYa/nSl77E5MmTue2225wOS0RERGTQMcZs6M0+JiN6nWiAgoJvAadW6OiLPXtuo65uG8F5\n1QEqKv4U2eAi5NFHH2XOnDlMnz6d6upqbrzxRqdDEhERERnSnFribtDJyfkUPl9ln+4pK3uInJzr\n8PurATeFhb+KTnADdNttt2nkWURERCSCRvxIdJvk5KkkJU3F72/swz0zAYvPVw34BzSvWkRERESG\nDiXR7fh8J/H763tdPyVlLi5XArt3B6dHeL050QpNRERERAYRJdHtHDhwN4cP/7TX9f3+Otavnw5A\nVtaVodU+RERERGS4UxJ9Gmt7vylIYuJkANzuNKZP/320QhIRERGRQUZJdDvGxBEItPSqbnX1GzQ2\n7gGgsPAX0QxLRERERAYZzT9oJz5+PMa4e1X34MHvcuLEXwDIzr48mmGJiIiIyCCjJLqdadN+T0vL\nkV7VHTVqBfn5d9HQ8G6UoxIRERGRwUbTOdpxueKwtrXLa6WlPyAQOHXN2gBJSVMYO/baWIUnIiIi\nIoOEkuh2jAkm0eXlv6K1tarDtb17b6e2dgM+Xw2NjfsJBOpxu5McilREREREnKTpHO0Y46W1tYKy\nsh+TlnY+Xm9Gh+vW+li3bhpJSZNJSJjU6/nTIiIiIjK8aCS6HZfLy3vv3YzPV0lr69FweXNzORkZ\n/4ctW95PS8shTp58jSNHBucW3yIiIiISfUqi2zHGC4DHk0FZ2Y/C5W++eRZe7xgCgSbGj7+d/Px7\nnApRRERERAYBJdHttCXRLlciVVWvdLjWtrFKWdn3CQSaKCh4IObxiYiIiMjgoDnR7bQl0ampcxkz\n5qPtyk9twlJQ8ADNzWXEx493JEYRERERcZ5GottxueIACASaCQQa2LLlEgKBZqxtobm5JDSV4985\nefJVPJ5Uh6MVEREREacoiW6nbSQ6EGiitHQlyckzMSaYWNfUrOecc1YC0NCwC7c7zbE4RURERMRZ\nms7RjjHB7ggEmklPX87Jk6/R1LSflJR5xMXldKibnr7EiRBFREREZBDQSHQ7xhgAKitfwONJo7b2\nbaqqXiEQqMeYU10VH5+Px5PuVJgiIiIi4jAl0aeZOvVJAMaNuxmvdwy7d99AauoC8vLuDNdZuHAP\nLle8UyGKiIiIiMOURJ8mEGgGwONJp7W1AoCEhAJGjVoaruNyaRaMiIiIyEimJPo0OTnXAOjFQRER\nERHplpLo07hccaSlLQnPec7JuZbDhx92OCoRERERGUyURHfhvPPW4Han4XIlAYbW1qNOhyQiIiIi\ng4iS6G643YkEAk14vZlOhyIiIiIig4yS6G4Y4yYv76vk5v6r06GIiIiIyCCjZSZ6cPbZ33M6BBER\nEREZhDQSLSIiIiLSR0qie2Hx4nKnQxARERGRQURJdC/Ex491OgQRERERGUSURIuIiIiI9JGS6Has\ntQQCAafDEBEREZFBbsQn0QcOHKCwsJDrrruOGTNm8Jvf/IbFixdz3nnncfnll1NXVwfA+vXrOf/8\n85k9ezYLFiygtraWRYsWsX379nBbK1asoLi42KmPIiIiIiIxMuKTaID33nuPm266iVWrVvHLX/6S\nl19+mY0bN1JUVMQPfvADWlpauPLKK/nv//5vNm/ezMsvv0xiYiJXXnklTz/9NADl5eWUl5dTVFTk\n8KcRERERkWhTEg3k5+ezaNEi3nrrLXbs2MGSJUuYM2cOjz/+OCUlJbz77rvk5uYyf/58ANLS0vB4\nPFxxxRU8++yzADz99NNcdtllTn4MEREREYkRbbYCJCcnA8E50e9///v53e9+1+H61q1bu7xv3Lhx\nZGZmsmXLFp566ikefvjhqMcqIiIiIs7TSHQ7ixYtYu3atezZsweA+vp6du/eTWFhIeXl5axfvx6A\n2tpafD4fAFdeeSUPPvgg1dXVzJo1y7HYRURERCR2lES3k5WVxWOPPcbVV1/NrFmzWLx4Mbt27SIu\nLo6nnnqKW265hdmzZ/P+97+fpqYmAC677DJ+//vfc8UVVzgcvYiIiIjEirHWOh3DGRUVFVmteiEi\nIiIi0WaM2WCtPeNKERqJFhERERHpIyXRIiIiIiJ9pCRaRERERKSPlESLiIiIiPSRkmgRERERkT5S\nEi0iIiIi0kdKokVERERE+khJtIiIiIhIHymJFhERERHpoyGxY6ExphZ4N4aPnAAcjOHzIiUdqHY6\niH4Yqv0N6vNYG6r9DerzWFN/x576PLaGan/D4O/zQmtt6pkqDZUkurg32y9G8HnHrbVZsXpepBhj\nHrHW3uB0HH01VPsb1OexNlT7G9Tnsab+jj31eWwN1f6Gwd/nvc07NZ2jayedDqCf/uJ0AP00VPsb\n1OexNlT7G9Tnsab+jj31eWwN1f6GodvnHSiJ7tpg/hNDt6y1Q/WHckj2N6jPY20I9zeoz2NN/R17\n6vPYGpL9DUO6zzsYKkn0I8P8eSOd+jv21Oexpz6PLfV37KnPY0v9HT296tshMSdaRERERGQwGSoj\n0SIiIiIig8aISKKNMb8yxhwzxmxrVzbbGPOmMWarMeYvxpi0UPlEY0yjMWZT6OvhdvfMC9XfY4z5\nkTHGOPF5hoK+9Hno2qzQte2h6wmhcvV5L/TxZ/xT7X6+NxljAsaYOaFr6u9e6mOfe40xj4fKdxpj\nvtHuHvV5L/Sxv+OMMb8OlW82xqxod4/6u5eMMXnGmFeNMTtC/zZ/JVQ+2hjzT2PMe6HvGe3u+Uao\nb981xnygXbn6/Qz62t/GmMxQ/TpjzE9Oa0v9HQvW2mH/BSwDzgO2tStbDywPHX8O+FboeGL7eqe1\nsw5YBBjg78AHnf5sg/Wrj33uAbYAs0PnmYBbfR6d/j7tvpnA3nbn6u8o9DlwDfD70HEScACYqD6P\nWn9/Cfh16Dgb2AC41N997vNc4LzQcSqwG5gGPAh8PVT+deB7oeNpwGYgHigA9urf8qj2dzJwAfBv\nwE9Oa0v9HYOvETESba19Hag8rfhc4PXQ8T+BT/bUhjEmF0iz1r5lgz+h/wt8LNKxDhd97POLgC3W\n2s2he09Ya/3q894bwM/41cDvQT/jfdXHPrdAsjHGAyQCLUCN+rz3+tjf04D/F7rvGMGlwIrU331j\nrS231m4MHdcCO4FxwEeBx0PVHudUH36U4C+Lzdba/cAeYIH6vXf62t/W2npr7RqgqX076u/YGRFJ\ndDe2E/zBBLgcyGt3rSD0Z+5VxpilobJxQFm7OmWhMum97vr8XMAaY14yxmw0xtwZKlefD0xPP+Nt\nrgR+FzpWfw9cd33+LFAPlBPcYWyltbYS9flAddffm4GPGGM8xpgCYF7omvq7n4wxE4G5wNtAjrW2\nPHTpCJATOh4HlLa7ra1/1e991Mv+7o76O0ZGchL9OeAmY8wGgn82aQmVlwMTrLVzgP8LPGnazd2V\nAemuzz0E/yT1qdD3jxtjLnQmxGGlu/4GwBizEGiw1m7r6mbpl+76fAHgB84i+Gfu240xk5wJcVjp\nrr9/RTBxKAYeAt4g2P/SD8aYFOA54FZrbU37a6GRTi3zFUHq76HD43QATrHW7iI4jQBjzLnAJaHy\nZqA5dLzBGLOX4EjpIWB8uybGh8qkl7rrc4L/s3vdWlsRuvYCwbmPv0V93m899Hebqzg1Cg36GR+w\nHvr8GuBFa20rcMwYsxYoAlajPu+3Hv4d9wG3tdUzxrxBcH5pFervPjHGeAkmdE9Ya/8QKj5qjMm1\n1paHpg4cC5UfouNfvNr6V/+29FIf+7s76u8YGbEj0caY7NB3F/BN4OHQeZYxxh06ngRMBvaF/pRS\nY4xZFHrL9Trgz44EP0R11+fAS8BMY0xSaM7ocmCH+nxgeujvtrIrCM2HhuB8PNTfA9JDnx8E/iV0\nLZngCz+71OcD08O/40mhfsYY837AZ63Vvyl9FOqjXwI7rbU/aHfpeeAzoePPcKoPnweuMsbEh6bR\nTAbWqd97px/93SX1dww5/WZjLL4IjraVA60ERz0/D3yF4MjEbuC7nNp45pME59ltAjYCH27XThGw\njeAbxz9pu0dfA+vzUP1rQ/2+DXhQfR71/l4BvNVFO+rvKPQ5kAI8E/oZ3wHcoT6Pan9PBN4l+GLW\ny0C++rtffX4BwakDW0L/T9wEfIjgCkqvAO+F+nd0u3v+I9S379JuRQj1e9T6+wDBF27rQv9dTFN/\nx+5LOxaKiIiIiPTRiJ3OISIiIiLSX0qiRURERET6SEm0iIiIiEgfKYkWEREREekjJdEiIiIiIn2k\nJFpEZAgwxviNMZuMMduNMZuNMbeH1kduX+chY8yhtnJjzGdD92wyxrQYY7aGjr9rjLneGHO83fVN\nxphpznw6EZGhR0vciYgMAcaYOmttSug4G3gSWGutvSdU5gL2E1xL+RvW2ldPu/8AUGRP7Qx6fej8\n5ph9CBGRYUQj0SIiQ4y19hhwA3BzaEcyCG6gsx34GXC1Q6GJiIwYSqJFRIYga+0+wA1kh4quJrir\n3x+BS4wx3l40c+Vp0zkSoxSuiMiwoyRaRGSIM8bEEdwe+E/W2hrgbeADvbj1KWvtnHZfjVENVERk\nGPE4HYCIiPSdMWYS4AeOAZcCo4CtodkdSUAj8FfHAhQRGeaURIuIDDHGmCzgYeAn1lprjLka+Fdr\n7e9C15OB/caYJGttg5OxiogMV5rOISIyNCS2LXEHvAz8A7jPGJMEXAz8ra2itbYeWAN8+Axtnj4n\n+vxoBS8iMtxoiTsRERERkT7SSLSIiIiISB8piRYRERER6SMl0SIiIiIifaQkWkRERETNmvgZAAAA\nK0lEQVSkj5REi4iIiIj0kZJoEREREZE+UhItIiIiItJHSqJFRERERPro/wNOSRuPZknUTAAAAABJ\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9dd2636da0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"fig=plt.figure(figsize=(12, 8))\n",
"g=fig.add_subplot(1,1,1)\n",
"ln_n225=np.log(n225) #numpyのlogを利用\n",
"ln_n225.plot(ax=g,style='y-',linewidth=0.5)\n",
"\n",
"for date, label in struct_break:\n",
" g.annotate(label,xy=(date, ln_n225.asof(date)),\n",
" xytext=(date,ln_n225.asof(date)-0.75),\n",
" horizontalalignment='left',verticalalignment='top')\n",
" g.set_xlim(['1947/1/1','2019/4/25'])\n",
"plt.ylabel('log(N225 index)')\n",
"plt.title(\"Log Nikkei 225 index and structural change\")"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"recover : 0.0145 ;\n",
"growth : 0.0091 ;\n",
"stable : 0.0080 ;\n",
"bubble : 0.0144 ;\n",
"reform : 0.0149 ;\n"
]
}
],
"source": [
"import pandas_datareader.data as pdr\n",
"import numpy as np\n",
"for i in range(len(dates)-1):\n",
" vol=np.log(n225[dates[i]:dates[i+1]]).diff().std()\n",
" print(states[i],': %2.4f ;'%vol,)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 結果の解釈\n",
"対数価格表示のチャートと価格のチャートでは受けるイメージが全く違うのではないのだろうか? \n",
"\n",
"バブル経済期の始まる1986年末から日経平均株価のピークまでの期間を除くと、バブル崩壊前の日経平均株価はほぼ安定したリターンを達成している。\n",
"\n",
"対数表示のグラフではこの辺を正確に描写している。長期チャートでは対数表示にする必要があるといわれる所以である\n",
"\n",
"\n",
"上記:目安の時期\n",
"\n",
"戦後復興期(recover)\n",
"\n",
"高度経済成長期(growth)\n",
"\n",
"安定期(stable)\n",
"\n",
"バブル経済期(bubble)\n",
"\n",
"経済変革期(reform)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"|循環期 | 景気 |期間 始点 |終点 |ror |Vol |std |\n",
"|------------|---------------------------- |-------------|-------------|-------|-------|-------|\n",
"|1,2 |戦後復興期(recover) |1949/5/16 |1954/11/30 |14% |23%  |0.015 |\n",
"|3,4,5,6 |高度経済成長期(growth) |1954/12/1 |1971/12/31 |13% |14% |0.009 |\n",
"|7,8,9,10 |安定期(stable) |1972/1/1 |1986/11/30 |13% |13% |0.008 |\n",
"|11 |バブル経済期(bubble) |1986/12/0 |1993/10/31 |3% |23% |0.014 |\n",
"|12,13,14,15 |経済変革期(reform) |1993/11/1 |現在   |2% |24% |0.015 |"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 日中のリターンとオーバーナイトのリターン\n",
" 日経平均株価がバブル崩壊以降に下落を続け、未だにバブル期の最高値を更新できない事実はチャートを見れば一目瞭然である。\n",
" \n",
" それは価格のチャートでも対数価格のチャートでも変わらない。しかし、この日経平均株価の新たな特徴を指数の対数を取ることでつかめたように、何か別の特徴が潜んでいないだろうか? \n",
" \n",
" 日経平均株価は本当にバブル崩壊以降下落を続け戻り切れないのだろうか? \n",
" \n",
" そこで日経平均株価を分解することで新たな特徴をつかんでみよう。  \n",
" \n",
" 終値のチャートは価格や指数の大まかな傾向をつかむには適している。しかし、市場では多様な投資家が参加して、価格を形成している。\n",
" \n",
" また、株式市場などは24時間取引がされているわけではなく、また、経済指標や、中央銀行の政策の決定の結果は日付と時刻を定めて発表される。\n",
" \n",
" そのような発表には市場が閉じている間に行われるものも少なくない。\n",
" \n",
" G7、G20などの会合は週末に行われ、月曜の朝の市場に大きな影響を与えることなどが多くみられる。\n",
" \n",
" 投資家は市場が開いているときにだけ活動を行っているわけではなく、市場が閉じている間でも得られた情報を分析し、次の取引に反映しようとしているのである。このような市場の参加者の行動をつかむ方法として、市場の寄り付きから引けまでの日中の価格の変化と、市場の引けから翌日の寄り付きまでのオーバーナイトの価格の変化を比べることがよく行われる。\n",
" \n",
" それを行ってみよう"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f9dd25dc2b0>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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9H63FXdaF5HReyXa53Vgtgfv3rZVsERERCXrLDi5jZ85Obu11K1d0uSLQ4fhN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xD7ngteM2Ot+wJwXlu3/MfcXL75PIi+GlrcApfcg/uRH9eX96926SrblhVcWwqrPX/A87VhdCP3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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9dd2024208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Apple\n",
"plt.figure(figsize=(12,8))\n",
"analysis= web.DataReader(\"aapl\", 'google',\"1990/1/1\",end)\n",
"analysis['intraday']=0#None\n",
"analysis['overnight']=0#None\n",
"c0=analysis.Close.iloc[0] \n",
"for i in range(1,len(analysis)):\n",
" o=analysis.iloc[i,0]#列0\n",
" c=analysis.iloc[i,3]#列3\n",
" analysis.iloc[i,5]=c-o#列6 Intraday\n",
" analysis.iloc[i,6]=o-c0#列7 overnight\n",
" c0=c\n",
"analysis.Close.plot(label='Close',linewidth=1)\n",
"analysis.intraday.cumsum().plot(label=\"intraday\",linestyle=\":\")\n",
"analysis.overnight.cumsum().plot(label=\"overnight\",linestyle='--',linewidth=1)\n",
"plt.legend()\n",
"plt.ylabel('PL or aapl')\n",
"plt.legend(loc='lower left')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 結果の解釈\n",
"グラフのy軸は収益、または日経平均株価を表している。バブル崩壊以降日経平均株価には3つの長期的な傾向がみられる。\n",
"\n",
"1つは終値の下落である。\n",
"\n",
"2つ目はオーバーナイトでの指数は上昇を続けているという事実である。\n",
"\n",
"そして3つ目は日中の価格は下落を続けているということである.この原因は明らかにされていない。\n",
"\n",
"最も有力な理由は短期の投資家が寄付きでポジションを建て、引けでポジションを閉じるという説である。\n",
"\n",
"これは市場が効率的はなく、空売り等に制限が設けれている市場でみられる現象であるという説もあるが、確かではない。\n",
"\n",
"その理由として、バブルの時期には日中もオーバーナイトでも指数は上昇し続けていた。\n",
"\n",
"この時期の日中の指数の下落で顕著なのはブラックマンデーの時だけである。持ち合い株の解消、外国人投資家の動向も理由ではないだろうか?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"参考のために米国のSP500を見てみよう\n",
"結果の解釈は任せます"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x7f9dd21999b0>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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3rB9E3InMUndfDPC1kZCaTXxSJt9EHiSiRW2+jTponT9VS/ZzUdX/XxcRERGp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zC8+nD83P0o4VuCkXVHqsBOIn7Z/Mjlnouc7jlVYGcltv0kAhvELi8uIsLlFpX7V6UezKeQPA++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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9dd86a57b8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#SP500\n",
"plt.figure(figsize=(12,8))\n",
"analysis= web.DataReader(\"SPY\", 'google',\"1993/1/29\",end)\n",
"analysis['intraday']=0#None\n",
"analysis['overnight']=0#None\n",
"c0=analysis.Close.iloc[0] \n",
"for i in range(1,len(analysis)):\n",
" o=analysis.iloc[i,0]\n",
" c=analysis.iloc[i,3]\n",
" analysis.iloc[i,5]=c-o\n",
" analysis.iloc[i,6]=o-c0\n",
" c0=c\n",
"analysis.Close.plot(label='Close')\n",
"analysis.intraday.cumsum().plot(label='intraday',linestyle=':')\n",
"analysis.overnight.cumsum().plot(label='overnight',linestyle='--')\n",
"plt.legend()\n",
"plt.ylabel('PL or price')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"また、その他の参考としてダウ工業株価指数連動ETFのDIA"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f9dd206f898>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YNN8zuIPJfF4HG0tpY5yDTdMHkKZqEm85l4zg9tVrXqKwEJBVWIovdl3BbX3b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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9dd2068978>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#NYダウ\n",
"plt.figure(figsize=(12,8))\n",
"analysis= web.DataReader(\"DIA\", 'google',\"1993/1/29\",end)\n",
"analysis['intraday']=0#None\n",
"analysis['overnight']=0#None\n",
"c0=analysis.Close.iloc[0] \n",
"for i in range(1,len(analysis)):\n",
" o=analysis.iloc[i,0]\n",
" c=analysis.iloc[i,3]\n",
" analysis.iloc[i,5]=c-o\n",
" analysis.iloc[i,6]=o-c0\n",
" c0=c\n",
"analysis.Close.plot(legend='Close')\n",
"analysis.intraday.cumsum().plot(legend=\"intraday\",linestyle=':')\n",
"analysis.overnight.cumsum().plot(legend=\"overnight\",linestyle='--')"
]
},
{
"cell_type": "code",
"execution_count": null,
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"collapsed": true
},
"outputs": [],
"source": []
}
],
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