QuantLib: GeneralizedHullWhite::FittingParameter Class Reference

A free/open-source library for quantitative finance Reference manual - version 1.12

Public Member Functions | List of all members
GeneralizedHullWhite::FittingParameter Class Reference

Analytical term-structure fitting parameter \( \varphi(t) \). More...

`#include <ql/experimental/shortrate/generalizedhullwhite.hpp>`

Inheritance diagram for GeneralizedHullWhite::FittingParameter:
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## Public Member Functions
| FittingParameter (const Handle< YieldTermStructure > &termStructure, Real a, Real sigma)
Public Member Functions inherited from TermStructureFittingParameter
| TermStructureFittingParameter (const boost::shared_ptr< Parameter::Impl > &impl)
| TermStructureFittingParameter (const Handle< YieldTermStructure > &term)
Public Member Functions inherited from Parameter
const Array & | params () const
void | setParam (Size i, Real x)
bool | testParams (const Array &params) const
Size | size () const
Real | operator() (Time t) const
const boost::shared_ptr< Impl > & | implementation () const
const Constraint & | constraint () const

## Additional Inherited Members
Protected Member Functions inherited from Parameter
| Parameter (Size size, const boost::shared_ptr< Impl > &impl, const Constraint &constraint)
Protected Attributes inherited from Parameter
boost::shared_ptr< Impl > | impl_
Array | params_
Constraint | constraint_

## Detailed Description

Analytical term-structure fitting parameter \( \varphi(t) \).

\( \varphi(t) \) is analytically defined by

\[ \varphi(t) = f(t) + \frac{1}{2}[\frac{\sigma(1-e^{-at})}{a}]^2, \]

where \( f(t) \) is the instantaneous forward rate at \( t \).