Vol Surface

Vol Surface#

class quantflow.options.surface.VolSurface(ref_date: ~datetime.datetime, spot: ~quantflow.options.surface.SpotPrice[~quantflow.options.surface.S], maturities: tuple[~quantflow.options.surface.VolCrossSection[~quantflow.options.surface.S], ...], day_counter: ~ccy.core.daycounter.DayCounter = <ccy.core.daycounter.ActAct object>, tick_size_forwards: ~decimal.Decimal | None = None, tick_size_options: ~decimal.Decimal | None = None)#

Represents a volatility surface, which captures the implied volatility of an option for different strikes and maturities.

Key Concepts:

Implied Volatility: The market’s expectation of future volatility, derived
from the price of an option using a pricing model (e.g., Black-Scholes).
Strike Price: The price at which the underlying asset can be bought
(call option) or sold (put option) at the option’s expiry.
Time to Maturity: The time remaining until the option’s expiration date.
Volatility Smile/Skew: The often-observed phenomenon where implied
volatility varies across different strike prices for the same maturity. Typically, it forms a “smile” or “skew” shape.

This class provides a structure for storing and manipulating volatility surface data. It can be used for various tasks, such as:

Option pricing and risk management: Using the surface to determine the
appropriate volatility input for pricing models.
Volatility arbitrage: Identifying mispricings in options by comparing
market prices to model prices derived from the surface.
Market analysis: Understanding market sentiment and expectations of
future volatility.

Methods:

`as_array`	Organize option prices in a numpy arrays for black volatility calculation
`bs`	calculate Black-Scholes implied volatility for all options in the surface
`calc_bs_prices`	calculate Black-Scholes prices for all options in the surface
`option_list`	List of selected option prices in the surface
`option_prices`	Iterator over selected option prices in the surface
`options_df`	Time frame of Black-Scholes call input data
`plot`	Plot the volatility surface
`plot3d`	Plot the volatility surface
`securities`	Iterator over all securities in the volatility surface
`term_structure`	Return the term structure of the volatility surface

Attributes:

`day_counter`	Day counter for time to maturity calculations - by default it uses Act/Act
`maturities`	Sorted tuple of `VolCrossSection` for different maturities
`ref_date`	Reference date for the volatility surface
`spot`	Spot price of the underlying asset
`tick_size_forwards`	Tick size for rounding forward and spot prices - optional
`tick_size_options`	Tick size for rounding option prices - optional

as_array(*, select: OptionSelection = OptionSelection.best, index: int | None = None, initial_vol: float = 0.5, converged: bool = True) → OptionArrays#: Organize option prices in a numpy arrays for black volatility calculation

bs(*, select: OptionSelection = OptionSelection.best, index: int | None = None, initial_vol: float = 0.5) → list[OptionPrice]#

calculate Black-Scholes implied volatility for all options in the surface

Parameters:

select – the OptionSelection method
index – Index of the cross section to use, if None use all
initial_vol – Initial volatility for the root finding algorithm

Some options may not converge, in this case the implied volatility is not calculated correctly and the option is marked as not converged.

calc_bs_prices(*, select: OptionSelection = OptionSelection.best, index: int | None = None) → ndarray#: calculate Black-Scholes prices for all options in the surface

option_list(*, select: OptionSelection = OptionSelection.best, index: int | None = None, converged: bool = True) → list[OptionPrice]#: List of selected option prices in the surface

option_prices(*, select: OptionSelection = OptionSelection.best, index: int | None = None, initial_vol: float = 0.5, converged: bool = True) → Iterator[OptionPrice]#: Iterator over selected option prices in the surface

options_df(*, select: OptionSelection = OptionSelection.best, index: int | None = None, initial_vol: float = 0.5, converged: bool = True) → DataFrame#: Time frame of Black-Scholes call input data

plot(*, index: int | None = None, select: OptionSelection = OptionSelection.best, **kwargs: Any) → Any#: Plot the volatility surface

plot3d(*, select: OptionSelection = OptionSelection.best, **kwargs: Any) → Any#: Plot the volatility surface

securities() → Iterator[SpotPrice[S] | FwdPrice[S] | OptionPrices[S]]#: Iterator over all securities in the volatility surface

term_structure(frequency: float = 0) → DataFrame#: Return the term structure of the volatility surface

day_counter: DayCounter = <ccy.core.daycounter.ActAct object>#: Day counter for time to maturity calculations - by default it uses Act/Act

maturities: tuple[VolCrossSection[S], ...]#: Sorted tuple of VolCrossSection for different maturities

ref_date: datetime#: Reference date for the volatility surface

spot: SpotPrice[S]#: Spot price of the underlying asset

tick_size_forwards: Decimal | None = None#: Tick size for rounding forward and spot prices - optional

tick_size_options: Decimal | None = None#: Tick size for rounding option prices - optional

class quantflow.options.surface.VolCrossSection(maturity: ~datetime.datetime, forward: ~quantflow.options.surface.FwdPrice[~quantflow.options.surface.S], strikes: tuple[~quantflow.options.surface.Strike[~quantflow.options.surface.S], ...], day_counter: ~ccy.core.daycounter.DayCounter = <ccy.core.daycounter.ActAct object>)#

Represents a cross section of a volatility surface at a specific maturity.

Methods:

`info_dict`	Return a dictionary with information about the cross section
`option_prices`	Iterator over option prices in the cross section
`securities`	Return a list of all securities in the cross section
`ttm`	Time to maturity in years

Attributes:

`day_counter`	Day counter for time to maturity calculations - by default it uses Act/Act
`forward`	Forward price of the underlying asset at the time of the cross section
`maturity`	Maturity date of the cross section
`strikes`	Tuple of sorted strikes and their corresponding option prices

info_dict(ref_date: datetime, spot: SpotPrice[S]) → dict#: Return a dictionary with information about the cross section

option_prices(ref_date: datetime, *, select: OptionSelection = OptionSelection.best, initial_vol: float = 0.5, converged: bool = True) → Iterator[OptionPrice]#: Iterator over option prices in the cross section

securities() → Iterator[FwdPrice[S] | OptionPrices[S]]#: Return a list of all securities in the cross section

ttm(ref_date: datetime) → float#: Time to maturity in years

day_counter: DayCounter = <ccy.core.daycounter.ActAct object>#: Day counter for time to maturity calculations - by default it uses Act/Act

forward: FwdPrice[S]#: Forward price of the underlying asset at the time of the cross section

maturity: datetime#: Maturity date of the cross section

strikes: tuple[Strike[S], ...]#: Tuple of sorted strikes and their corresponding option prices

class quantflow.options.surface.GenericVolSurfaceLoader(spot: ~quantflow.options.surface.SpotPrice[~quantflow.options.surface.S] | None = None, maturities: dict[~datetime.datetime, ~quantflow.options.surface.VolCrossSectionLoader[~quantflow.options.surface.S]] = <factory>, day_counter: ~ccy.core.daycounter.DayCounter = <ccy.core.daycounter.ActAct object>, tick_size_forwards: ~decimal.Decimal | None = None, tick_size_options: ~decimal.Decimal | None = None)#

Helper class to build a volatility surface from a list of securities

Methods:

`add_forward`	Add a forward to the volatility surface loader
`add_option`	Add an option to the volatility surface loader
`add_spot`	Add a spot to the volatility surface loader
`surface`	Build a volatility surface from the provided data

Attributes:

`day_counter`	Day counter for time to maturity calculations - by default it uses Act/Act
`maturities`	Dictionary of maturities and their corresponding cross section loaders
`spot`	Spot price of the underlying asset
`tick_size_forwards`	Tick size for rounding forward and spot prices - optional
`tick_size_options`	Tick size for rounding option prices - optional

add_forward(security: S, maturity: datetime, bid: Decimal = Decimal('0'), ask: Decimal = Decimal('0'), open_interest: int = 0, volume: int = 0) → None#: Add a forward to the volatility surface loader

add_option(security: S, strike: Decimal, maturity: datetime, call: bool, bid: Decimal = Decimal('0'), ask: Decimal = Decimal('0'), open_interest: int = 0, volume: int = 0) → None#: Add an option to the volatility surface loader

add_spot(security: S, bid: Decimal = Decimal('0'), ask: Decimal = Decimal('0'), open_interest: int = 0, volume: int = 0) → None#: Add a spot to the volatility surface loader

surface(ref_date: datetime | None = None) → VolSurface[S]#: Build a volatility surface from the provided data

day_counter: DayCounter = <ccy.core.daycounter.ActAct object>#: Day counter for time to maturity calculations - by default it uses Act/Act

maturities: dict[datetime, VolCrossSectionLoader[S]]#: Dictionary of maturities and their corresponding cross section loaders

spot: SpotPrice[S] | None = None#: Spot price of the underlying asset

tick_size_forwards: Decimal | None = None#: Tick size for rounding forward and spot prices - optional

tick_size_options: Decimal | None = None#: Tick size for rounding option prices - optional

class quantflow.options.surface.VolSurfaceLoader(spot: ~quantflow.options.surface.SpotPrice[~quantflow.options.surface.S] | None = None, maturities: dict[~datetime.datetime, ~quantflow.options.surface.VolCrossSectionLoader[~quantflow.options.surface.S]] = <factory>, day_counter: ~ccy.core.daycounter.DayCounter = <ccy.core.daycounter.ActAct object>, tick_size_forwards: ~decimal.Decimal | None = None, tick_size_options: ~decimal.Decimal | None = None)#

Methods:

add

Add a volatility security input to the loader

add(input: VolSurfaceInput[Any]) → None#

Add a volatility security input to the loader

Params input:: The input data for the security, it can be spot, forward or option

class quantflow.options.surface.OptionSelection(value, names=<not given>, *values, module=None, qualname=None, type=None, start=1, boundary=None)#

Option selection method

This enum is used to select which one between calls and puts are used for calculating implied volatility and other operations

best = 1#

Select the best bid/ask options.

These are the options which are Out of the Money, where their intrinsic value is zero

call = 2#: Select the call options only

put = 3#: Select the put options only

Vol Surface

Contents

Vol Surface#