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
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