stock-tracker
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"""
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Yang-Zhang-s-Realized-Volatility-Automated-Estimation-in-Python
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https://github.com/hugogobato/Yang-Zhang-s-Realized-Volatility-Automated-Estimation-in-Python
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论文地址:https://www.jstor.org/stable/10.1086/209650
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"""
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import warnings
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import numpy as np
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import pandas as pd
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def rv_from_stock_zh_a_hist_min_em(
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symbol="000001",
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start_date="2021-10-20 09:30:00",
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end_date="2024-11-01 15:00:00",
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period="1",
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adjust="hfq",
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) -> pd.DataFrame:
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"""
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从东方财富网获取股票的分钟级历史行情数据,并进行数据清洗和格式化为计算 yz 已实现波动率所需的数据格式
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https://quote.eastmoney.com/concept/sh603777.html?from=classic
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:param symbol: 股票代码,如"000001"
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:type symbol: str
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:param start_date: 开始日期时间,格式"YYYY-MM-DD HH:MM:SS"
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:type start_date: str
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:param end_date: 结束日期时间,格式"YYYY-MM-DD HH:MM:SS"
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:type end_date: str
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:param period: 时间周期,可选{'1','5','15','30','60'}分钟
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:type period: str
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:param adjust: 复权方式,可选{'','qfq'(前复权),'hfq'(后复权)}
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:type adjust: str
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:return: 整理后的分钟行情数据,包含Date(索引),Open,High,Low,Close列
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:rtype: pandas.DataFrame
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"""
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from akshare.stock_feature.stock_hist_em import stock_zh_a_hist_min_em
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temp_df = stock_zh_a_hist_min_em(
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symbol=symbol,
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start_date=start_date,
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end_date=end_date,
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period=period,
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adjust=adjust,
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)
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temp_df.rename(
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columns={
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"时间": "Date",
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"开盘": "Open",
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"最高": "High",
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"最低": "Low",
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"收盘": "Close",
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},
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inplace=True,
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)
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temp_df = temp_df[temp_df["Open"] != 0]
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temp_df["Date"] = pd.to_datetime(temp_df["Date"])
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temp_df.set_index(keys="Date", inplace=True)
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return temp_df
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def rv_from_futures_zh_minute_sina(
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symbol: str = "IF2008", period: str = "5"
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) -> pd.DataFrame:
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"""
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从新浪财经获取期货的分钟级历史行情数据,并进行数据清洗和格式化
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https://vip.stock.finance.sina.com.cn/quotes_service/view/qihuohangqing.html#titlePos_3
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:param symbol: 期货合约代码,如"IF2008"代表沪深300期货2020年8月合约
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:type symbol: str
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:param period: 时间周期,可选{'1','5','15','30','60'}分钟
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:type period: str
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:return: 整理后的分钟行情数据,包含Date(索引),Open,High,Low,Close列
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:rtype: pandas.DataFrame
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"""
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from akshare.futures.futures_zh_sina import futures_zh_minute_sina
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temp_df = futures_zh_minute_sina(symbol=symbol, period=period)
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temp_df.rename(
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columns={
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"datetime": "Date",
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"open": "Open",
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"high": "High",
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"low": "Low",
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"close": "Close",
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},
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inplace=True,
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)
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temp_df["Date"] = pd.to_datetime(temp_df["Date"])
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temp_df.set_index(keys="Date", inplace=True)
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return temp_df
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def volatility_yz_rv(data: pd.DataFrame) -> pd.DataFrame:
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(
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"""
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波动率-已实现波动率-Yang-Zhang 已实现波动率(Yang-Zhang Realized Volatility)
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https://github.com/hugogobato/Yang-Zhang-s-Realized-Volatility-Automated-Estimation-in-Python
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论文地址:https://www.jstor.org/stable/10.1086/209650
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基于以下公式计算:
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RV^2 = Vo + k*Vc + (1-k)*Vrs
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其中:
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- Vo: 隔夜波动率, Vo = 1/(n-1)*sum(Oi-Obar)^2
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Oi为标准化开盘价, Obar为标准化开盘价均值
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- Vc: 收盘波动率, Vc = 1/(n-1)*sum(ci-Cbar)^2
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ci为标准化收盘价, Cbar为标准化收盘价均值
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- k: 权重系数, k = 0.34/(1.34+(n+1)/(n-1))
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n为样本数量
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- Vrs: Rogers-Satchell波动率代理, Vrs = ui(ui-ci)+di(di-ci)
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ui = ln(Hi/Oi), ci = ln(Ci/Oi), di = ln(Li/Oi), oi = ln(Oi/Ci-1)
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Hi/Li/Ci/Oi分别为最高价/最低价/收盘价/开盘价
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:param data: 包含 OHLC(开高低收) 价格的 pandas.DataFrame
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:type data: pandas.DataFrame
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:return: 包含 Yang-Zhang 实现波动率的 pandas.DataFrame
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:rtype: pandas.DataFrame
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要求输入数据包含以下列:
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- Open: 开盘价
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- High: 最高价
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- Low: 最低价
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- Close: 收盘价
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# yang_zhang_rv formula is give as:
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# RV^2 = Vo + k*Vc + (1-k)*Vrs
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# where Vo = 1/(n-1)*sum(Oi-Obar)^2
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# with oi = normalized opening price at time t and Obar = mean of normalized opening prices
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# Vc = = 1/(n-1)*sum(ci-Cbar)^2
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# with ci = normalized close price at time t and Cbar = mean of normalized close prices
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# k = 0.34/(1.34+(n+1)/(n-1))
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# with n = total number of days or time periods considered
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# Vrs (Rogers & Satchell RV proxy) = ui(ui-ci)+di(di-ci)
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# with ui = ln(Hi/Oi), ci = ln(Ci/Oi), di=(Li/Oi), oi = ln(Oi/Ci-1)
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# where Hi = high price at time t and Li = low price at time t
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"""
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""
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)
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warnings.filterwarnings("ignore")
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data["ui"] = np.log(np.divide(data["High"][1:], data["Open"][1:]))
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data["ci"] = np.log(np.divide(data["Close"][1:], data["Open"][1:]))
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data["di"] = np.log(np.divide(data["Low"][1:], data["Open"][1:]))
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data["oi"] = np.log(np.divide(data["Open"][1:], data["Close"][: len(data) - 1]))
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data = data[1:]
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data["RS"] = data["ui"] * (data["ui"] - data["ci"]) + data["di"] * (
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data["di"] - data["ci"]
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)
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rs_var = data["RS"].groupby(pd.Grouper(freq="1D")).mean().dropna()
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vc_and_vo = data[["oi", "ci"]].groupby(pd.Grouper(freq="1D")).var().dropna()
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n = int(len(data) / len(rs_var))
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k = 0.34 / (1.34 + (n + 1) / (n - 1))
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yang_zhang_rv = np.sqrt((1 - k) * rs_var + vc_and_vo["oi"] + vc_and_vo["ci"] * k)
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yang_zhang_rv_df = pd.DataFrame(yang_zhang_rv)
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yang_zhang_rv_df.rename(columns={0: "yz_rv"}, inplace=True)
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yang_zhang_rv_df.reset_index(inplace=True)
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yang_zhang_rv_df.columns = ["date", "rv"]
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yang_zhang_rv_df["date"] = pd.to_datetime(
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yang_zhang_rv_df["date"], errors="coerce"
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).dt.date
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return yang_zhang_rv_df
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if __name__ == "__main__":
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futures_df = rv_from_futures_zh_minute_sina(symbol="IF2008", period="1")
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volatility_yz_rv_df = volatility_yz_rv(data=futures_df)
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print(volatility_yz_rv_df)
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stock_df = rv_from_stock_zh_a_hist_min_em(
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symbol="000001",
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start_date="2021-10-20 09:30:00",
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end_date="2024-11-01 15:00:00",
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period="5",
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adjust="",
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)
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volatility_yz_rv_df = volatility_yz_rv(data=stock_df)
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print(volatility_yz_rv_df)
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