In this note we propose a simple two-factor multi-curve model where Fed-fund, SOFR and LIBOR rates are modeled jointly. The model is used to price the newly quoted SOFR futures as well as Eurodollar futures. We then derive pricing formulas for SOFR-based swaps, and show how the valuations of...

We try and apply the single-scenario version of the general model in Castagna, Mercurio and Mosconi (2010) to the pricing of CDOs. We are able to establish a unified approach to both evaluate the Credit VaR and the risk of structured products, and thus evaluate on a consistent and uniform basis...

This paper deals with the effects of concentration (single name and sectoral) and contagion risk on credit portfolios. Results are obtained for the value at risk of the portfolio loss distribution, in the analytical framework originally developed by Vasicek in 1991 [1]. VAR is expressed as a sum...

We develop an asymptotic expansion technique for pricing timer options in stochastic volatility models when the effect of volatility of variance is small. Based on the pricing PDE, closed-form approximation formulas have been obtained. The approximation has an easy-to-understand...

We introduce an extended LIBOR market model that is compatible with the current market practice of building different yield curves for different tenors and for discounting. The new paradigm is based on modeling the joint evolution of FRA rates and forward rates belonging to the discount curve....