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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"id": "2c7c199d5afd1160", | |
"metadata": { | |
"collapsed": false | |
}, | |
"source": [ | |
"## Pythonで Value at Risk (VaR) を算出する\n", | |
"\n", | |
"**※作者は金融の素人です。内容が不正確かもしれない点にご注意ください。**\n", | |
"\n", | |
"以下の方法により、株や投信のポートフォリオのVaRを算出します。\n", | |
"1. 分散共分散(ムービング・ウィンドウ法)\n", | |
"2. 分散共分散(ルートT倍法)\n", | |
"3. モンテカルロ・シミュレーション法\n", | |
"4. ヒストリカル法\n", | |
"5. BRW法\n", | |
"\n", | |
"#### 参考資料\n", | |
"- 日本銀行金融機構局金融高度化センター . VaRの計測と検証 . https://www.boj.or.jp/finsys/c_aft/basic_seminar/data/rel151106a2.pdf\n", | |
"- FFR+ . VaRの理解と検証 . http://www.ffr-plus.jp/material/#mate_public_document_0006\n", | |
"- 日本銀行金融研究所 . ヒストリカル法によるバリュー・アット・リスクの計測 ─市場価格変動の非定常性への実務的対応─ https://www.imes.boj.or.jp/research/papers/japanese/04-J-10.pdf" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "c338e1373ee28ef2", | |
"metadata": { | |
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"ExecuteTime": { | |
"end_time": "2024-01-05T10:18:52.021034300Z", | |
"start_time": "2024-01-05T10:18:50.703836500Z" | |
} | |
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"outputs": [], | |
"source": [ | |
"import math\n", | |
"from typing import Literal\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"import pandas as pd\n", | |
"import requests_cache\n", | |
"import yfinance as yf\n", | |
"from scipy.stats import gaussian_kde, norm" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "eac1626a1c77991d", | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2024-01-05T10:18:52.055065200Z", | |
"start_time": "2024-01-05T10:18:52.035046100Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"# グラフで表示する日本語フォント\n", | |
"plt.rcParams[\"font.sans-serif\"] = [\"Meiryo\"]\n", | |
"\n", | |
"cached_session = requests_cache.CachedSession(\"http_cache\", backend=\"sqlite\")\n", | |
"cached_session.headers[\"User-agent\"] = \\\n", | |
" \"Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/120.0.0.0 Safari/537.36\"\n", | |
"\n", | |
"\n", | |
"def fetch_hist_data(ticker: str, start: str, end: str | None = None) -> pd.DataFrame:\n", | |
" ticker_obj = yf.Ticker(ticker, session=cached_session)\n", | |
" hist_df = ticker_obj.history(start=start, end=end, auto_adjust=False, repair=True)\n", | |
" hist_df = hist_df.tz_localize(None)\n", | |
" return hist_df\n", | |
"\n", | |
"\n", | |
"def xticks_date_freq(\n", | |
" index: pd.DatetimeIndex,\n", | |
" freq: str | pd.DateOffset,\n", | |
" fmt: str,\n", | |
" min_index: str | pd.DatetimeIndex | None = None,\n", | |
" max_index: str | pd.DatetimeIndex | None = None,\n", | |
" method: Literal[\"bfill\", \"backfill\", \"pad\", \"ffill\", \"nearest\"] | None = \"bfill\",\n", | |
" ax: plt.Axes | None = None\n", | |
") -> None:\n", | |
" \"\"\"\n", | |
" x軸の目盛りを指定した間隔にする。\n", | |
" \"\"\"\n", | |
" if ax is None:\n", | |
" ax = plt.gca()\n", | |
"\n", | |
" if min_index is None:\n", | |
" min_index = index.min()\n", | |
"\n", | |
" if max_index is None:\n", | |
" max_index = index.max()\n", | |
"\n", | |
" targets = pd.date_range(min_index, max_index, freq=freq)\n", | |
" found_index = index.get_indexer(targets, method=method)\n", | |
" label = index[found_index].strftime(fmt)\n", | |
" ax.xaxis.set_ticks(found_index, label)\n", | |
"\n", | |
"\n", | |
"def log_return(values: np.ndarray, periods: int = 1) -> np.ndarray:\n", | |
" \"\"\"\n", | |
" 対数収益率(対数変化率)を返す。\n", | |
"\n", | |
" :param values: 値\n", | |
" :param periods: シフト期間\n", | |
" :return: 対数収益率(対数変化率)\n", | |
" \"\"\"\n", | |
" return np.log(values[periods:] / values[:-periods])\n", | |
"\n", | |
"\n", | |
"def pct_change(values: np.ndarray, periods: int = 1) -> np.ndarray:\n", | |
" \"\"\"\n", | |
" 変化率を返す。\n", | |
"\n", | |
" :param values: 値\n", | |
" :param periods: シフト期間\n", | |
" :return: 変化率\n", | |
" \"\"\"\n", | |
" return (values[periods:] - values[:-periods]) / values[:-periods]\n", | |
"\n", | |
"\n", | |
"def var_vcm_mw(pv: np.ndarray, values: np.ndarray, periods: int = 10, alpha=0.99) -> float:\n", | |
" \"\"\"\n", | |
" VaRを分散共分散法(ムービング・ウィンドウ法)で算出する。\n", | |
" \n", | |
" :param pv: ポートフォリオ保有額 (n_assets,)\n", | |
" :param values: ポートフォリオ価額のヒストリカルデータ (n_samples, n_assets)\n", | |
" :param periods: 保有期間 t\n", | |
" :param alpha: 信頼水準 a\n", | |
" :return: VaR\n", | |
" \"\"\"\n", | |
" # t日間収益率\n", | |
" r = pct_change(values, periods)\n", | |
"\n", | |
" # 信頼係数\n", | |
" z = -norm.ppf(1 - alpha)\n", | |
"\n", | |
" if len(pv) == 1:\n", | |
" # VaR = 信頼係数 * pv * 収益率の標準偏差\n", | |
" return z * pv[0] * r.std(axis=0)[0]\n", | |
" else:\n", | |
" # VaR = 信頼係数 * √(pv @ 収益率の分散共分散行列 @ pvの転置行列)\n", | |
" return z * math.sqrt(pv @ np.cov(r, rowvar=False, bias=False) @ pv.T)\n", | |
"\n", | |
"\n", | |
"def var_vcm_t(pv: np.ndarray, values: np.ndarray, periods: int = 10, alpha=0.99) -> float:\n", | |
" \"\"\"\n", | |
" VaRを分散共分散法(ルートT倍法)で算出する。\n", | |
"\n", | |
" :param pv: ポートフォリオ保有額 (n_assets,)\n", | |
" :param values: ポートフォリオ価額のヒストリカルデータ (n_samples, n_assets)\n", | |
" :param periods: 保有期間 t\n", | |
" :param alpha: 信頼水準 a\n", | |
" :return: VaR\n", | |
" \"\"\"\n", | |
" # 日次対数収益率\n", | |
" r = log_return(values, 1)\n", | |
"\n", | |
" # 信頼係数\n", | |
" z = -norm.ppf(1 - alpha)\n", | |
"\n", | |
" # 単独VaR(n_assets,) = pv * 信頼係数 * 日次対数収益率の標準偏差 * √t\n", | |
" var_matrix = pv * z * r.std(axis=0) * math.sqrt(periods)\n", | |
"\n", | |
" if len(pv) == 1:\n", | |
" return var_matrix[0]\n", | |
"\n", | |
" # VaR = √(単独VaR @ 日次対数収益率の相関行列 @ 単独VaRの転置行列)\n", | |
" return math.sqrt(var_matrix @ np.corrcoef(r, rowvar=False) @ var_matrix.T)\n", | |
"\n", | |
"\n", | |
"def var_mcs(pv: np.ndarray, values: np.ndarray, periods: int = 10, alpha=0.99, repeat=10000, seed=None) -> float:\n", | |
" \"\"\"\n", | |
" VaRをモンテカルロ・シミュレーション法で算出する。\n", | |
"\n", | |
" :param pv: ポートフォリオ保有額 (n_assets,)\n", | |
" :param values: ポートフォリオ価額のヒストリカルデータ (n_samples, n_assets)\n", | |
" :param periods: 保有期間 t\n", | |
" :param alpha: 信頼水準 a\n", | |
" :param repeat: シミュレーション回数\n", | |
" :param seed: 乱数シード\n", | |
" :return: VaR\n", | |
" \"\"\"\n", | |
" # t日間対数収益率\n", | |
" r = log_return(values, periods)\n", | |
"\n", | |
" # 乱数ジェネレーター\n", | |
" rng = np.random.default_rng(seed)\n", | |
"\n", | |
" # 正規分布に従う乱数の行列(repeat, n_assets)\n", | |
" rand_distr: np.ndarray = rng.normal(size=(repeat, pv.shape[0]))\n", | |
"\n", | |
" # 予想対数収益率(repeat, n_assets) = 分布関数に従う乱数 * 対数収益率の標準偏差\n", | |
" sim_r = rand_distr * r.std(axis=0)\n", | |
"\n", | |
" # 予想対数収益率(n_assets,) = 予想対数収益率から算出した信頼水準に相当するパーセンタイル値\n", | |
" q = np.quantile(sim_r, 1 - alpha, axis=0)\n", | |
"\n", | |
" # 単独VaR(n_assets,) = pv * 予想損失率\n", | |
" var_matrix = pv * np.abs(np.expm1(np.fmin(0, q)))\n", | |
"\n", | |
" if len(pv) == 1:\n", | |
" return var_matrix[0]\n", | |
"\n", | |
" # VaR = √(単独VaR @ 対数収益率の相関行列 @ 単独VaRの転置行列)\n", | |
" return math.sqrt(var_matrix @ np.corrcoef(r, rowvar=False) @ var_matrix.T)\n", | |
"\n", | |
"\n", | |
"def var_hist(pv: np.ndarray, values: np.ndarray, periods: int = 10, alpha=0.99) -> float:\n", | |
" \"\"\"\n", | |
" VaRをヒストリカル法で算出する。\n", | |
"\n", | |
" :param pv: ポートフォリオ保有額 (n_assets,)\n", | |
" :param values: ポートフォリオ価額のヒストリカルデータ (n_samples, n_assets)\n", | |
" :param periods: 保有期間 t \n", | |
" :param alpha: 信頼水準 a\n", | |
" :return: VaR\n", | |
" \"\"\"\n", | |
" # t日間対数収益率\n", | |
" r = log_return(values, periods)\n", | |
"\n", | |
" # 予想対数収益率(n_assets,) = 過去の収益率から算出した信頼水準に相当するパーセンタイル値\n", | |
" q = np.quantile(r, 1 - alpha, axis=0)\n", | |
"\n", | |
" # 単独VaR(n_assets,) = pv * 予想損失率\n", | |
" var_matrix = pv * np.abs(np.expm1(np.fmin(0, q)))\n", | |
"\n", | |
" if len(pv) == 1:\n", | |
" return var_matrix[0]\n", | |
"\n", | |
" # VaR = √(単独VaR @ 対数収益率の相関行列 @ 単独VaRの転置行列)\n", | |
" return math.sqrt(var_matrix @ np.corrcoef(r, rowvar=False) @ var_matrix.T)\n", | |
"\n", | |
"\n", | |
"def var_brw(\n", | |
" pv: np.ndarray,\n", | |
" values: np.ndarray,\n", | |
" periods: int = 10,\n", | |
" alpha=0.99,\n", | |
" decay_factor=0.99\n", | |
") -> float:\n", | |
" \"\"\"\n", | |
" VaRをBRW法で算出する。\n", | |
" \n", | |
" :param pv: ポートフォリオ保有額 (n_assets,)\n", | |
" :param values: ポートフォリオ価額のヒストリカルデータ (n_samples, n_assets)\n", | |
" :param periods: 保有期間 t \n", | |
" :param alpha: 信頼水準 a\n", | |
" :param decay_factor: 減衰因子 (0 < λ < 1)。値が小さいほど直近のヒストリカルデータを重視する。\n", | |
" :return: VaR\n", | |
" \"\"\"\n", | |
" # t日間対数収益率\n", | |
" r = log_return(values, periods)\n", | |
"\n", | |
" l = decay_factor\n", | |
" # 過去から現在に向かって指数的に増加する重み\n", | |
" wgt = np.array([(1 - l) / (1 - l ** r.shape[0]) * (l ** i) for i in range(r.shape[0] - 1, -1, -1)])\n", | |
"\n", | |
" # 予想対数収益率(n_assets,)\n", | |
" # 昇順にソートした対数収益率に対応する重みの累積和をもとに、信頼水準に相当する対数収益率を線形補間により求める。\n", | |
" q = np.zeros(r.shape[1])\n", | |
" for i in range(r.shape[1]):\n", | |
" sorted_indices = r[:, i].argsort(axis=0)\n", | |
" sorted_r_i = np.take(r[:, i], sorted_indices)\n", | |
" sorted_cumsum_wgt = np.cumsum(np.take(wgt, sorted_indices))\n", | |
" q[i] = np.interp(1 - alpha, sorted_cumsum_wgt, sorted_r_i)\n", | |
"\n", | |
" # 単独VaR(n_assets,) = pv * 予想損失率\n", | |
" var_matrix = pv * np.abs(np.expm1(np.fmin(0, q)))\n", | |
"\n", | |
" if len(pv) == 1:\n", | |
" return var_matrix[0]\n", | |
"\n", | |
" # VaR = √(単独VaR @ 対数収益率の相関行列 @ 単独VaRの転置行列)\n", | |
" return math.sqrt(var_matrix @ np.corrcoef(r, rowvar=False) @ var_matrix.T)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"WARNING: cookie & crumb does not work well with requests_cache. Am experimenting with 'expire_after=DO_NOT_CACHE', but you need to help stress-test.\n" | |
] | |
} | |
], | |
"source": [ | |
"# ポートフォリオ\n", | |
"# 列: Code=コード, Name=名前, Weight=ポートフォリオに占めるウェイト(すべて同じ比率で持つこととする)\n", | |
"pf: pd.DataFrame = pd.DataFrame(\n", | |
" # TOPIXに占めるウェイトが大きい銘柄をTOPIX33業種からそれぞれ1つ選択した。\n", | |
" [\n", | |
" [\"1332.T\", \"ニッスイ\"],\n", | |
" [\"1605.T\", \"INPEX\"],\n", | |
" [\"1925.T\", \"大和ハウス工業\"],\n", | |
" [\"2914.T\", \"日本たばこ産業\"],\n", | |
" [\"3382.T\", \"セブン&アイ・ホールディングス\"],\n", | |
" [\"3402.T\", \"東レ\"],\n", | |
" [\"3436.T\", \"SUMCO\"],\n", | |
" [\"3861.T\", \"王子ホールディングス\"],\n", | |
" [\"4063.T\", \"信越化学工業\"],\n", | |
" [\"4502.T\", \"武田薬品工業\"],\n", | |
" [\"5020.T\", \"ENEOSホールディングス\"],\n", | |
" [\"5108.T\", \"ブリヂストン\"],\n", | |
" [\"5201.T\", \"AGC\"],\n", | |
" [\"5401.T\", \"日本製鉄\"],\n", | |
" [\"5802.T\", \"住友電気工業\"],\n", | |
" [\"6098.T\", \"リクルートホールディングス\"],\n", | |
" [\"6367.T\", \"ダイキン工業\"],\n", | |
" [\"6758.T\", \"ソニーグループ\"],\n", | |
" [\"7203.T\", \"トヨタ自動車\"],\n", | |
" [\"7741.T\", \"HOYA\"],\n", | |
" [\"7974.T\", \"任天堂\"],\n", | |
" [\"8058.T\", \"三菱商事\"],\n", | |
" [\"8306.T\", \"三菱UFJフィナンシャル・グループ\"],\n", | |
" [\"8591.T\", \"オリックス\"],\n", | |
" [\"8604.T\", \"野村ホールディングス\"],\n", | |
" [\"8766.T\", \"東京海上ホールディングス\"],\n", | |
" [\"8801.T\", \"三井不動産\"],\n", | |
" [\"9020.T\", \"東日本旅客鉄道\"],\n", | |
" [\"9101.T\", \"日本郵船\"],\n", | |
" [\"9202.T\", \"ANAホールディングス\"],\n", | |
" [\"9364.T\", \"上組\"],\n", | |
" [\"9432.T\", \"日本電信電話\"],\n", | |
" [\"9503.T\", \"関西電力\"],\n", | |
" ],\n", | |
" columns=[\"Code\", \"Name\"],\n", | |
")\n", | |
"\n", | |
"pf_hist_df: pd.DataFrame = pd.concat(\n", | |
" # 対象期間の株価の終値を取得する。\n", | |
" [fetch_hist_data(it[\"Code\"], \"2013-01-01\", \"2023-12-30\")[\"Close\"].rename(it[\"Name\"]) for _, it in pf.iterrows()],\n", | |
" join=\"outer\",\n", | |
" axis=\"columns\"\n", | |
")\n", | |
"\n", | |
"# 欠損値を補間する。\n", | |
"pf_hist_df.bfill(inplace=True)\n", | |
"pf_hist_df.interpolate(inplace=True)" | |
], | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2024-01-05T10:18:53.541416400Z", | |
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} | |
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"id": "9377bc7cae3547e6" | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": " Code Name Weight\n0 1332.T ニッスイ 0.030303\n1 1605.T INPEX 0.030303\n2 1925.T 大和ハウス工業 0.030303\n3 2914.T 日本たばこ産業 0.030303\n4 3382.T セブン&アイ・ホールディングス 0.030303\n5 3402.T 東レ 0.030303\n6 3436.T SUMCO 0.030303\n7 3861.T 王子ホールディングス 0.030303\n8 4063.T 信越化学工業 0.030303\n9 4502.T 武田薬品工業 0.030303\n10 5020.T ENEOSホールディングス 0.030303\n11 5108.T ブリヂストン 0.030303\n12 5201.T AGC 0.030303\n13 5401.T 日本製鉄 0.030303\n14 5802.T 住友電気工業 0.030303\n15 6098.T リクルートホールディングス 0.030303\n16 6367.T ダイキン工業 0.030303\n17 6758.T ソニーグループ 0.030303\n18 7203.T トヨタ自動車 0.030303\n19 7741.T HOYA 0.030303\n20 7974.T 任天堂 0.030303\n21 8058.T 三菱商事 0.030303\n22 8306.T 三菱UFJフィナンシャル・グループ 0.030303\n23 8591.T オリックス 0.030303\n24 8604.T 野村ホールディングス 0.030303\n25 8766.T 東京海上ホールディングス 0.030303\n26 8801.T 三井不動産 0.030303\n27 9020.T 東日本旅客鉄道 0.030303\n28 9101.T 日本郵船 0.030303\n29 9202.T ANAホールディングス 0.030303\n30 9364.T 上組 0.030303\n31 9432.T 日本電信電話 0.030303\n32 9503.T 関西電力 0.030303", | |
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Code</th>\n <th>Name</th>\n <th>Weight</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>1332.T</td>\n <td>ニッスイ</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>1</th>\n <td>1605.T</td>\n <td>INPEX</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>2</th>\n <td>1925.T</td>\n <td>大和ハウス工業</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>3</th>\n <td>2914.T</td>\n <td>日本たばこ産業</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>4</th>\n <td>3382.T</td>\n <td>セブン&アイ・ホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>5</th>\n <td>3402.T</td>\n <td>東レ</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>6</th>\n <td>3436.T</td>\n <td>SUMCO</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>7</th>\n <td>3861.T</td>\n <td>王子ホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>8</th>\n <td>4063.T</td>\n <td>信越化学工業</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>9</th>\n <td>4502.T</td>\n <td>武田薬品工業</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>10</th>\n <td>5020.T</td>\n <td>ENEOSホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>11</th>\n <td>5108.T</td>\n <td>ブリヂストン</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>12</th>\n <td>5201.T</td>\n <td>AGC</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>13</th>\n <td>5401.T</td>\n <td>日本製鉄</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>14</th>\n <td>5802.T</td>\n <td>住友電気工業</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>15</th>\n <td>6098.T</td>\n <td>リクルートホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>16</th>\n <td>6367.T</td>\n <td>ダイキン工業</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>17</th>\n <td>6758.T</td>\n <td>ソニーグループ</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>18</th>\n <td>7203.T</td>\n <td>トヨタ自動車</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>19</th>\n <td>7741.T</td>\n <td>HOYA</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>20</th>\n <td>7974.T</td>\n <td>任天堂</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>21</th>\n <td>8058.T</td>\n <td>三菱商事</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>22</th>\n <td>8306.T</td>\n <td>三菱UFJフィナンシャル・グループ</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>23</th>\n <td>8591.T</td>\n <td>オリックス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>24</th>\n <td>8604.T</td>\n <td>野村ホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>25</th>\n <td>8766.T</td>\n <td>東京海上ホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>26</th>\n <td>8801.T</td>\n <td>三井不動産</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>27</th>\n <td>9020.T</td>\n <td>東日本旅客鉄道</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>28</th>\n <td>9101.T</td>\n <td>日本郵船</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>29</th>\n <td>9202.T</td>\n <td>ANAホールディングス</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>30</th>\n <td>9364.T</td>\n <td>上組</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>31</th>\n <td>9432.T</td>\n <td>日本電信電話</td>\n <td>0.030303</td>\n </tr>\n <tr>\n <th>32</th>\n <td>9503.T</td>\n <td>関西電力</td>\n <td>0.030303</td>\n </tr>\n </tbody>\n</table>\n</div>" | |
}, | |
"execution_count": 4, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"pf[\"Weight\"] = 1.0 / len(pf)\n", | |
"\n", | |
"# ポートフォリオの合計評価額\n", | |
"pf_total_ser: pd.Series = pf_hist_df.sum(axis=1)\n", | |
"pf" | |
], | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2024-01-05T10:18:53.560433800Z", | |
"start_time": "2024-01-05T10:18:53.543417900Z" | |
} | |
}, | |
"id": "b8a0a34b75dc6acf" | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "123a0943dfb038e8", | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2024-01-05T10:18:54.113937300Z", | |
"start_time": "2024-01-05T10:18:53.562435300Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<Figure size 600x300 with 1 Axes>", | |
"image/png": 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" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"text/plain": "<Figure size 600x300 with 1 Axes>", | |
"image/png": 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" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"def plot_distr(values: np.ndarray):\n", | |
" plt.hist(values, bins=\"auto\", density=True, alpha=0.5)\n", | |
" max_x = np.abs(values).max()\n", | |
" x = np.linspace(-max_x, max_x, 200)\n", | |
" kde = gaussian_kde(values)\n", | |
" plt.plot(x, kde(x), label=\"カーネル密度推定 (KDE)\")\n", | |
" plt.plot(x, norm.pdf(x, values.mean(), values.std()), linestyle=\"--\", label=\"標準正規分布\")\n", | |
" plt.legend()\n", | |
" plt.grid()\n", | |
" plt.tight_layout()\n", | |
"\n", | |
"\n", | |
"plt.figure(figsize=(6, 3))\n", | |
"plt.title(\"ポートフォリオの合計評価額\")\n", | |
"plt.plot(range(len(pf_total_ser)), pf_total_ser)\n", | |
"xticks_date_freq(pf_total_ser.index, \"1YS\", \"%Y\")\n", | |
"plt.grid()\n", | |
"plt.tight_layout()\n", | |
"\n", | |
"plt.figure(figsize=(6, 3))\n", | |
"plt.title(\"ポートフォリオの日次対数変化率の分布\")\n", | |
"plot_distr(log_return(pf_total_ser.values, 1))" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "fd2a0f187d4d3fd6", | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2024-01-05T10:18:54.169988300Z", | |
"start_time": "2024-01-05T10:18:54.102927200Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"VaR算出結果:\n" | |
] | |
}, | |
{ | |
"data": { | |
"text/plain": " 手法 VaR\n0 MW 0.061041\n1 √T倍 0.062846\n2 MCS 0.057595\n3 HS 0.057773\n4 BRW 0.060841", | |
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>手法</th>\n <th>VaR</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>MW</td>\n <td>0.061041</td>\n </tr>\n <tr>\n <th>1</th>\n <td>√T倍</td>\n <td>0.062846</td>\n </tr>\n <tr>\n <th>2</th>\n <td>MCS</td>\n <td>0.057595</td>\n </tr>\n <tr>\n <th>3</th>\n <td>HS</td>\n <td>0.057773</td>\n </tr>\n <tr>\n <th>4</th>\n <td>BRW</td>\n <td>0.060841</td>\n </tr>\n </tbody>\n</table>\n</div>" | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"# 保有期間\n", | |
"t = 10\n", | |
"# 観測期間\n", | |
"obs_t = 250\n", | |
"# 信頼水準\n", | |
"alpha = 0.99\n", | |
"\n", | |
"pv = pf[\"Weight\"].values\n", | |
"hist = pf_hist_df.tail(obs_t).values\n", | |
"\n", | |
"result_df = pd.DataFrame(\n", | |
" [\n", | |
" [\"MW\", var_vcm_mw(pv, hist, periods=t, alpha=alpha)],\n", | |
" [\"√T倍\", var_vcm_t(pv, hist, periods=t, alpha=alpha)],\n", | |
" [\"MCS\", var_mcs(pv, hist, periods=t, alpha=alpha)],\n", | |
" [\"HS\", var_hist(pv, hist, periods=t, alpha=alpha)],\n", | |
" [\"BRW\", var_brw(pv, hist, periods=t, alpha=alpha)],\n", | |
" ],\n", | |
" columns=[\"手法\", \"VaR\"]\n", | |
")\n", | |
"\n", | |
"print(\"VaR算出結果:\")\n", | |
"result_df" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"id": "1fabc077ab1579c4", | |
"metadata": { | |
"collapsed": false, | |
"ExecuteTime": { | |
"end_time": "2024-01-05T10:19:07.062712100Z", | |
"start_time": "2024-01-05T10:18:54.137958900Z" | |
} | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": "<Figure size 900x600 with 1 Axes>", | |
"image/png": 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" | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"# 保有期間\n", | |
"t = 10\n", | |
"# 観測期間\n", | |
"obs_t = 250 # 約1年間\n", | |
"# 信頼水準\n", | |
"alpha = 0.99\n", | |
"# 減衰因子(BRW法)\n", | |
"decay_factor = 0.99\n", | |
"\n", | |
"# 表示期間\n", | |
"hist_tail = obs_t + 250 * 4 # 約4年間\n", | |
"\n", | |
"pv = pf[\"Weight\"].values\n", | |
"pl_df = pf_total_ser.pct_change(t).rename(f\"{t}日間損益\")\n", | |
"\n", | |
"# 観測期間ごとのインデックを取得するためのWindow\n", | |
"window = pf_hist_df.iloc[-hist_tail:, 0].rename(\"\").rolling(obs_t)\n", | |
"\n", | |
"result_df = pd.concat(\n", | |
" [\n", | |
" pl_df,\n", | |
" window.apply(lambda x: -var_vcm_mw(pv, pf_hist_df.loc[x.index].values, t, alpha)).rename(\"MW法\"),\n", | |
" window.apply(lambda x: -var_vcm_t(pv, pf_hist_df.loc[x.index].values, t, alpha)).rename(\"√T倍法\"),\n", | |
" window.apply(lambda x: -var_mcs(pv, pf_hist_df.loc[x.index].values, t, alpha)).rename(\"MCS法\"),\n", | |
" window.apply(lambda x: -var_hist(pv, pf_hist_df.loc[x.index].values, t, alpha)).rename(\"HS法\"),\n", | |
" window.apply(lambda x: -var_brw(\n", | |
" pv, pf_hist_df.loc[x.index].values, t, alpha, decay_factor=decay_factor)).rename(\"BRW法\"),\n", | |
" ],\n", | |
" join=\"inner\",\n", | |
" axis=\"columns\",\n", | |
")\n", | |
"result_df.dropna(inplace=True)\n", | |
"\n", | |
"pl_df = result_df[pl_df.name]\n", | |
"var_df = result_df.drop(pl_df.name, axis=\"columns\")\n", | |
"\n", | |
"plt.figure(figsize=(9, 6))\n", | |
"plt.stairs(pl_df, fill=True)\n", | |
"plt.plot(range(len(var_df)), var_df)\n", | |
"xticks_date_freq(result_df.index, \"1YS\", \"%Y\")\n", | |
"plt.suptitle(f\"{t}日間損益とVaR(マイナス表示)\")\n", | |
"plt.title(f\"保有期間: {t}日, 観測期間: {obs_t}日, 信頼水準: {alpha}, 減衰因子(BRW法): {decay_factor}\")\n", | |
"plt.legend([pl_df.name, *var_df.columns], loc=\"lower right\")\n", | |
"plt.grid()\n", | |
"plt.tight_layout()" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3 (ipykernel)", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.10.11" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 5 | |
} |
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