Square-root process class. More...
#include <ql/processes/squarerootprocess.hpp>
Public Member Functions | |
SquareRootProcess (Real b, Real a, Volatility sigma, Real x0=0.0, const ext::shared_ptr< discretization > &d=ext::shared_ptr< discretization >(new EulerDiscretization)) | |
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virtual Real | expectation (Time t0, Real x0, Time dt) const |
virtual Real | stdDeviation (Time t0, Real x0, Time dt) const |
virtual Real | variance (Time t0, Real x0, Time dt) const |
virtual Real | evolve (Time t0, Real x0, Time dt, Real dw) const |
virtual Real | apply (Real x0, Real dx) const |
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virtual Size | factors () const |
returns the number of independent factors of the process | |
virtual Time | time (const Date &) const |
void | update () |
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Observer (const Observer &) | |
Observer & | operator= (const Observer &) |
std::pair< iterator, bool > | registerWith (const ext::shared_ptr< Observable > &) |
void | registerWithObservables (const ext::shared_ptr< Observer > &) |
Size | unregisterWith (const ext::shared_ptr< Observable > &) |
void | unregisterWithAll () |
virtual void | deepUpdate () |
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Observable (const Observable &) | |
Observable & | operator= (const Observable &) |
void | notifyObservers () |
StochasticProcess 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. \( \sigma(t, x_t) \) | |
Real | a () const |
Real | b () const |
Real | sigma () const |
Additional Inherited Members | |
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typedef boost::unordered_set< ext::shared_ptr< Observable > > | set_type |
typedef set_type::iterator | iterator |
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StochasticProcess1D () | |
StochasticProcess1D (const ext::shared_ptr< discretization > &) | |
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StochasticProcess () | |
StochasticProcess (const ext::shared_ptr< discretization > &) | |
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ext::shared_ptr< discretization > | discretization_ |
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ext::shared_ptr< discretization > | discretization_ |
Square-root process class.
This class describes a square-root process governed by
\[ dx = a (b - x_t) dt + \sigma \sqrt{x_t} dW_t. \]