We extend the LIBOR market model to accommodate the new market practice of using different forward and discount curves in the pricing of interest-rate derivatives. Our extension is based on modeling the joint evolution of forward rates belonging to the OIS curve and corresponding spreads with...

We extend the LIBOR market model to accommodate the new market practice of using different forward and discount curves in the pricing of interest-rate derivatives. Our extension is based on modeling the joint evolution of forward rates belonging to the discount curve and corresponding spreads...

Recent empirical studies on interest rate derivatives have shown that the volatil- ity structure of interest rates is frequently humped. Mercurio and Moraleda (1996) and Moraleda and Vorst (1996a) have modelled interest rate dynamics in such a way that humped volatility structures are possible...

In this paper, we define and model forward risk-free term rates, which appear in the payoff definition of derivatives, and possibly cash instruments, based on the new interest-rate benchmarks that will be replacing IBORs globally. We show that the classical interest rate modeling framework can...