Expanded the volatility function, added annualisation
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@ -1,6 +1,7 @@
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from __future__ import annotations
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import datetime
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import math
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import statistics
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from typing import Iterable, List, Literal, Mapping, Union
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@ -191,7 +192,7 @@ class TimeSeries(TimeSeriesCore):
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closest: Literal["previous", "next", "exact"] = "previous",
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closest_max_days: int = -1,
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if_not_found: Literal["fail", "nan"] = "fail",
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compounding: bool = True,
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annual_compounded_returns: bool = True,
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interval_type: Literal["years", "months", "days"] = "years",
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interval_value: int = 1,
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date_format: str = None,
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@ -269,7 +270,7 @@ class TimeSeries(TimeSeriesCore):
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return as_on, float("NaN")
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returns = current[1] / previous[1]
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if compounding:
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if annual_compounded_returns:
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years = _interval_to_years(interval_type, interval_value)
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returns = returns ** (1 / years)
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return (current[0] if return_actual_date else as_on), returns - 1
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@ -284,7 +285,7 @@ class TimeSeries(TimeSeriesCore):
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prior_match: str = "closest",
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closest: Literal["previous", "next", "exact"] = "previous",
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if_not_found: Literal["fail", "nan"] = "fail",
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compounding: bool = True,
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annual_compounded_returns: bool = True,
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interval_type: Literal["years", "months", "days"] = "years",
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interval_value: int = 1,
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date_format: str = None,
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@ -371,7 +372,7 @@ class TimeSeries(TimeSeriesCore):
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for i in dates:
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returns = self.calculate_returns(
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as_on=i,
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compounding=compounding,
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annual_compounded_returns=annual_compounded_returns,
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interval_type=interval_type,
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interval_value=interval_value,
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as_on_match=as_on_match,
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@ -383,21 +384,58 @@ class TimeSeries(TimeSeriesCore):
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rolling_returns.sort()
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return self.__class__(rolling_returns, self.frequency.symbol)
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@date_parser(1, 2)
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def volatility(
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self,
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start_date: Union[str, datetime.datetime],
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end_date: Union[str, datetime.datetime],
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annualized: bool = True,
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from_date: Union[datetime.date, str],
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to_date: Union[datetime.date, str],
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frequency: Literal["D", "W", "M", "Q", "H", "Y"] = None,
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as_on_match: str = "closest",
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prior_match: str = "closest",
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closest: Literal["previous", "next", "exact"] = "previous",
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if_not_found: Literal["fail", "nan"] = "fail",
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annual_compounded_returns: bool = None,
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interval_type: Literal["years", "months", "days"] = "days",
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interval_value: int = 1,
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date_format: str = None,
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annualize_volatility: bool = True,
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):
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"""Calculates the volatility of the time series.add()
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The volatility is calculated as the standard deviaion of periodic returns.
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The periodicity of returns is based on the periodicity of underlying data.
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"""
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if frequency is None:
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frequency = self.frequency
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else:
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try:
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frequency = getattr(AllFrequencies, frequency)
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except AttributeError:
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raise ValueError(f"Invalid argument for frequency {frequency}")
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if annual_compounded_returns is None:
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annual_compounded_returns = False if frequency.days <= 366 else True
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rolling_returns = self.calculate_rolling_returns(
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from_date=start_date, to_date=end_date, interval_type=self.frequency.freq_type, compounding=False
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from_date=from_date,
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to_date=to_date,
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frequency=frequency.symbol,
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as_on_match=as_on_match,
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prior_match=prior_match,
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closest=closest,
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if_not_found=if_not_found,
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annual_compounded_returns=annual_compounded_returns,
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interval_type=interval_type,
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interval_value=interval_value,
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)
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sd = statistics.stdev(rolling_returns.values)
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if annualize_volatility:
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if interval_type == "months":
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sd *= math.sqrt(12)
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elif interval_type == "days":
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sd *= math.sqrt(252)
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return sd
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