Hybrid Model: A Dynamic Multi-Curve Framework

Abstract

Over the last 10 years, the multi-curve and collateral framework has become the standard for vanilla interest rate derivatives pricing. The static description of the framework, including the curve calibration, is well documented. When going to the dynamic behaviour of the framework, the modelling has not evolved as much and no approach to modelling the multi-curve framework is considered a standard. In this note, we propose an approach to multi-curve framework modelling. We call it hybrid approach as it is based on standard models for the discounting curve and an adjusted approach for IBOR curves which is design to have a natural control on the basis. We show that the approach can match simultaneously the main features of the option market and of historical data.