M_T (3) - Linux Manuals

M_T: Forward Hull-White stochastic process

NAME

QuantLib::HullWhiteForwardProcess - Forward Hull-White stochastic process

SYNOPSIS

#include <ql/processes/hullwhiteprocess.hpp>

Inherits QuantLib::ForwardMeasureProcess1D.

Public Member Functions

HullWhiteForwardProcess (const Handle< YieldTermStructure > &h, Real a, Real sigma)

Real a () const

Real sigma () const

Real alpha (Time t) const

Real M_T (Real s, Real t, Real T) const

Real B (Time t, Time T) const

StochasticProcess1D interface

Real x0 () const
returns the initial value of the state variable
Real drift (Time t, Real x) const
returns the drift part of the equation, i.e. $ mu(t, x_t) $
Real diffusion (Time t, Real x) const
returns the diffusion part of the equation, i.e. $ igma(t, x_t) $
Real expectation (Time t0, Real x0, Time dt) const

Real stdDeviation (Time t0, Real x0, Time dt) const

Real variance (Time t0, Real x0, Time dt) const

Protected Attributes

boost::shared_ptr< QuantLib::OrnsteinUhlenbeckProcess > process_

Handle< YieldTermStructure > h_

Real a_

Real sigma_

Detailed Description

Forward Hull-White stochastic process

Member Function Documentation

Real expectation (Time t0, Real x0, Time dt) const [virtual]

returns the expectation $ E(x_{t_0 + Delta t} | x_{t_0} = x_0) $ of the process after a time interval $ Delta t $ according to the given discretization. This method can be overridden in derived classes which want to hard-code a particular discretization.

Reimplemented from StochasticProcess1D.

Real stdDeviation (Time t0, Real x0, Time dt) const [virtual]

returns the standard deviation $ S(x_{t_0 + Delta t} | x_{t_0} = x_0) $ of the process after a time interval $ Delta t $ according to the given discretization. This method can be overridden in derived classes which want to hard-code a particular discretization.

Reimplemented from StochasticProcess1D.

Real variance (Time t0, Real x0, Time dt) const [virtual]

returns the variance $ V(x_{t_0 + Delta t} | x_{t_0} = x_0) $ of the process after a time interval $ Delta t $ according to the given discretization. This method can be overridden in derived classes which want to hard-code a particular discretization.

Reimplemented from StochasticProcess1D.

Author

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