CubicSpline B-splines fitting method. More...
#include <ql/termstructures/yield/nonlinearfittingmethods.hpp>
Inheritance diagram for CubicBSplinesFitting:Public Member Functions | |
| CubicBSplinesFitting (const std::vector< Time > &knotVector, bool constrainAtZero=true) | |
| Real | basisFunction (Integer i, Time t) const |
| cubic B-spline basis functions | |
| std::auto_ptr< FittedBondDiscountCurve::FittingMethod > | clone () const |
| clone of the current object | |
Public Member Functions inherited from FittedBondDiscountCurve::FittingMethod | |
| Array | solution () const |
| output array of results of optimization problem | |
| Integer | numberOfIterations () const |
| final number of iterations used in the optimization problem | |
| Real | minimumCostValue () const |
| final value of cost function after optimization | |
Additional Inherited Members | |
Protected Member Functions inherited from FittedBondDiscountCurve::FittingMethod | |
| FittingMethod (bool constrainAtZero=true) | |
| constructor | |
| void | init () |
| rerun every time instruments/referenceDate changes | |
Protected Attributes inherited from FittedBondDiscountCurve::FittingMethod | |
| bool | constrainAtZero_ |
| constrains discount function to unity at \( T=0 \), if true | |
| FittedBondDiscountCurve * | curve_ |
| internal reference to the FittedBondDiscountCurve instance | |
| Array | solution_ |
| solution array found from optimization, set in calculate() | |
| Array | guessSolution_ |
| optional guess solution to be passed into constructor. More... | |
| boost::shared_ptr< FittingCost > | costFunction_ |
| base class sets this cost function used in the optimization routine | |
CubicSpline B-splines fitting method.
Fits a discount function to a set of cubic B-splines \( N_{i,3}(t) \), i.e.,
\[ d(t) = \sum_{i=0}^{n} c_i * N_{i,3}(t) \]
See: McCulloch, J. 1971, "Measuring the Term Structure of Interest Rates." Journal of Business, 44: 19-31
McCulloch, J. 1975, "The tax adjusted yield curve." Journal of Finance, XXX811-30