getFactorLoading
RandomVariable[] getFactorLoading(double time,
double periodStart,
double periodEnd,
TimeDiscretization periodDiscretization,
RandomVariable[] realizationAtTimeIndex,
TermStructureModel model)
Return the factor loading for a given time and a term structure period.
The factor loading is the vector fi such that the scalar product
fjfk = fj,1fk,1 + ... + fj,mfk,m
is the instantaneous covariance of the component j and k.
With respect to simulation time t, this method uses a piece wise constant interpolation, i.e.,
it calculates t_i such that t_i is the largest point in getTimeDiscretization
such that t_i ≤ t .
The component here, it given via a double T which may be associated with the LIBOR fixing date.
With respect to component time T, this method uses a piece wise constant interpolation, i.e.,
it calculates T_j such that T_j is the largest point in getTimeDiscretization
such that T_j ≤ T .
- Parameters:
time - The time t at which factor loading is requested.
periodStart - Period start of the component.
periodEnd - Period end of the component.
periodDiscretization - The period discretization associated with the realizationAtTimeIndex
realizationAtTimeIndex - The realization of the stochastic process (may be used to implement local volatility/covariance/correlation models).
model - The term structure model.
- Returns:
- The factor loading fi(t).