ANNUNCIO DI SEMINARIO
La Prof. Zorana GRBAC dell'Universit? di Parigi-Diderot (VII) terra' il seguente seminario lunedi' 14 aprile alle ore 15.30 in Aula 1BC45 del Dipartimento di Matematica, via Trieste 63, Padova.
TITLE: Post-crisis interest rate models driven by Levy processes
ABSTRACT: The recent credit crisis and the European sovereign debt crisis have impacted all financial markets and influenced the way derivatives are priced and hedged. In this talk we focus in particular on interest rate derivative models. When considering these models, two major changes with respect to the pre-crisis models should be taken into account. Firstly, a variety of spreads have developed between the rates that had been essentially the same before the crises. This is known as the multiple-curve phenomenon. Secondly, the crises have highlighted the native form of credit risk, namely the counterparty risk, as well as the funding issues.
To meet these new modeling requirements, we develop a multiple-curve model, set in the HJM framework and driven by a Levy process. The use of Levy drivers allows an optimal balance between the flexibility needed to calibrate the model jointly to cap and swaption multiple-curve prices on one side, and the low number of Markov factors allowing the computation of counterparty risk and funding adjustments (CVA) on the other side. The pricing formulas in this framework are presented and possible Levy specifications discussed. We proceed with the calibration of the model and finally use the calibrated model as an underlying model for CVA computations. We conclude with a short and illustrative numerical example considering a basis swap.
This is joint work with S. Cr?pey, N. Ngor and D. Skovmand
---------------------------------------------------------------- This message was sent using IMP, the Internet Messaging Program.