Pre-congress seminar 1

08.30

Registration and coffee

09.00

Managing smile risk

  • Black-Scholes and the need for smile models
  • Local volatility models and smile dynamics
  • Stochastic volatility (SABR) models
  • Volatility surfaces and Levy based models

Patrick S. Hagan, Chief Investment Officer, JP MORGAN

11.00

Morning break

11.30

Calibration and pricing of exotics

  • Managing exotic risks
  • Key risks for interest rate exotics
  • Calibration / evaluation methods
  • Calibration strategy and selection of calibration instruments
  • Valuation of exotics; dependence on the calibration set
  • Risk generation
  • Stable hedging of exotics

Patrick S. Hagan, Chief Investment Officer, JP MORGAN

13.00

Lunch

14.00

Stochastic volatility and CMS

  • CMS Convexity adjustments
  • CMS derivatives and SABR model. Fixing indetermination using convexity adjustments
  • Joint calibration to swaptions and CMS
  • Stochastic volatility in hedging: The effect of volatility-rate correlation vs local volatility

Massimo Morini, Head of Credit Models, Banca IMI

15.00

Afternoon

15.30

Stochastic volatility Libor models

  • Libor Market Models with Heston stochastic volatility
  • Practical testing. Calibration, regularity and CMS pricing
  • An arbitrage-free SABR Libor Market Model with a simple closed-form formula
  • Testing and pricing of out-of-sample derivatives. The risk of models with arbitrage
  • Consistent modelling of cross-rate correlations and correlation with stochastic volatility

Massimo Morini, Head of Credit Models, Banca IMI

17.00

End of seminar

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