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QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.38
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Geometric brownian-motion process. More...
#include <geometricbrownianprocess.hpp>
Inheritance diagram for GeometricBrownianMotionProcess:
Collaboration diagram for GeometricBrownianMotionProcess:Public Member Functions | |
| GeometricBrownianMotionProcess (Real initialValue, Real mue, Real sigma) | |
| Real | x0 () const override |
| returns the initial value of the state variable More... | |
| Real | drift (Time t, Real x) const override |
| returns the drift part of the equation, i.e. \( \mu(t, x_t) \) More... | |
| Real | diffusion (Time t, Real x) const override |
| returns the diffusion part of the equation, i.e. \( \sigma(t, x_t) \) More... | |
Public Member Functions inherited from StochasticProcess1D | |
| 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 |
Public Member Functions inherited from StochasticProcess | |
| ~StochasticProcess () override=default | |
| virtual Size | factors () const |
| returns the number of independent factors of the process More... | |
| virtual Time | time (const Date &) const |
| void | update () override |
Public Member Functions inherited from Observer | |
| Observer ()=default | |
| Observer (const Observer &) | |
| Observer & | operator= (const Observer &) |
| virtual | ~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 | update ()=0 |
| virtual void | deepUpdate () |
Public Member Functions inherited from Observable | |
| Observable ()=default | |
| Observable (const Observable &) | |
| Observable & | operator= (const Observable &) |
| Observable (Observable &&)=delete | |
| Observable & | operator= (Observable &&)=delete |
| virtual | ~Observable ()=default |
| void | notifyObservers () |
Protected Attributes | |
| Real | initialValue_ |
| Real | mue_ |
| Real | sigma_ |
Protected Attributes inherited from StochasticProcess1D | |
| ext::shared_ptr< discretization > | discretization_ |
Protected Attributes inherited from StochasticProcess | |
| ext::shared_ptr< discretization > | discretization_ |
Additional Inherited Members | |
Public Types inherited from Observer | |
| typedef set_type::iterator | iterator |
Protected Member Functions inherited from StochasticProcess1D | |
| StochasticProcess1D ()=default | |
| StochasticProcess1D (ext::shared_ptr< discretization >) | |
Protected Member Functions inherited from StochasticProcess | |
| StochasticProcess ()=default | |
| StochasticProcess (ext::shared_ptr< discretization >) | |
Geometric brownian-motion process.
This class describes the stochastic process governed by
\[ dS(t, S)= \mu S dt + \sigma S dW_t. \]
Definition at line 41 of file geometricbrownianprocess.hpp.
| GeometricBrownianMotionProcess | ( | Real | initialValue, |
| Real | mue, | ||
| Real | sigma | ||
| ) |
Definition at line 27 of file geometricbrownianprocess.cpp.
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overridevirtual |
returns the initial value of the state variable
Implements StochasticProcess1D.
Definition at line 35 of file geometricbrownianprocess.cpp.
returns the drift part of the equation, i.e. \( \mu(t, x_t) \)
Implements StochasticProcess1D.
Definition at line 39 of file geometricbrownianprocess.cpp.
returns the diffusion part of the equation, i.e. \( \sigma(t, x_t) \)
Implements StochasticProcess1D.
Definition at line 43 of file geometricbrownianprocess.cpp.
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protected |
Definition at line 51 of file geometricbrownianprocess.hpp.
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protected |
Definition at line 52 of file geometricbrownianprocess.hpp.
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protected |
Definition at line 53 of file geometricbrownianprocess.hpp.