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Bates stochastic-volatility model

extended versions of Heston model for the stochastic volatility of an asset including jumps.

References: A. Sepp, Pricing European-Style Options under Jump Diffusion Processes with Stochastic Volatility: Applications of Fourier Transform (http://math.ut.ee/~spartak/papers/stochjumpvols.pdf)

test calibration is tested against known values.

Hierarchy

Implements

Index

Constructors

constructor

Properties

_arguments

_arguments: Parameter[]

_constraint

_constraint: Constraint

_functionEvaluation

_functionEvaluation: Integer

_isDisposed

_isDisposed: boolean = false

_observables

_observables: Set<Observable> = new Set()

_observers

_observers: Set<Observer> = new Set()

_problemValues

_problemValues: Real[]

Protected _process

_process: HestonProcess

_shortRateEndCriteria

_shortRateEndCriteria: Type

dispose

dispose: () => void

Type declaration

    • (): void
    • Returns void

isDisposed

isDisposed: boolean

notifyObservers

notifyObservers: () => void

Type declaration

    • (): void
    • Returns void

registerObserver

registerObserver: (o: Observer) => void

Type declaration

registerWith

registerWith: (h: Observable) => void

Type declaration

registerWithObservables

registerWithObservables: (o: Observer) => void

Type declaration

unregisterObserver

unregisterObserver: (o: Observer) => void

Type declaration

unregisterWith

unregisterWith: (h: Observable) => Size

Type declaration

unregisterWithAll

unregisterWithAll: () => void

Type declaration

    • (): void
    • Returns void

Methods

calibrate1

  • Calibrate to a set of market instruments (usually caps/swaptions) An additional constraint can be passed which must be satisfied in addition to the constraints of the model.

    Parameters

    Returns void

calibrate2

cmInit

constraint

deepUpdate

  • deepUpdate(): void

delta

  • Returns Real

endCriteria

  • endCriteria(): Type

functionEvaluation

generateArguments

  • generateArguments(): void

kappa

lambda

  • Returns Real

nu

  • Returns Real

params

problemValues

  • problemValues(): Real[]

process

rho

  • Returns Real

setParams

  • setParams(params: Real[]): void

sigma

theta

update

  • update(): void

v0

  • Returns Real

value1

value2