Constant maturity swaps (CMS), CMS spreads and similar products are analyzed in multi-factor HJM models. For Gaussian models, which include some Libor Market Models and the G2 model, explicit approximated formula are provided. The approximations are done through two different approaches: an...

With the transitions to overnight benchmarks as the main benchmarks in some currencies, futures based on overnight rates are becoming more common. The most traded futures on overnight rates settle against compounded rates. The pricing of those futures requires some convexity adjustments with an...

This note is an answer the consultation published by ISDA regarding the amendment of documentation to implement fallbacks for certain key IBORs. The answers refer to many technical issues. More details about those issues can be found in the technical note 'A quant perspective on IBOR fallback...

The Libor Market Model (LMM) describes the evolution of a yield curve through equations for a discrete set of forward rates. In the original version, the rate dynamic was log-normal. The rate dynamic has been extended. The main result presented here is a generic approximation that provides an...

This note analyses derivative pricing in the context of a collateral rate switch during the life of a financial product or the existence of two overnight rates. In particular we analyse the impact of forward change of collateral, the impact on OISs when the collateral rate is different from the...

The development of the multi-curve framework has mainly concentrated on swaps and related products. By opposition, this contribution focuses on STIR futures and their options. They are analysed in a stochastic multiplicative spread multi-curve framework which allows a simultaneous modelling of...

We propose an approach for the dynamical estimation of initial margins. We determine initial margins at future points in time by computing a risk measure of the modelled price increment over a margin period of risk. As an example, we produce the initial margin process for interest rate swap...

Even if the name futures indicates a simple instrument, bond futures are complex. Several special features are embedded in the instrument. In particular the future is not written on one specific bond but on a basket of bonds, from which the short side can deliver the cheapest. This paper focuses...

The importance of overnight rate benchmarks has been increasing in the last years and is expected to increase further in the coming years. They could take over the IBOR-like benchmarks as the most important interest rate benchmarks. In this note we propose a new design for an overnight-linked...

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...