| Day 1: The LMM-SABR Model: The New Paradigm for Pricing, Calibrating, Hedging Interest-Rate Derivatives Modelling in the Presence of Smiles: Riccardo Rebonato | |||
Presenter: Presenter: Riccardo Rebonato: Global Head of Market Risk & Global Head of Quantitative Research, Royal Bank of Scotland
The LIBOR Market Model framework (deterministic volatility)
- Deriving the Drifts of the Forward Rates
- Specifying the volatility
- Specifying the correlation
- Calibrating
The SABR Model
- Pricing formulae
- Special Cases
- Qualitative Hedging Behaviour
- Pitfalls
Combining LMM and SABR
- Deriving the Drifts of the Forward Rates
- Deriving the Drifts of the Volatilities
- Analytical Approximation to Swaption Prices
Calibrating
- Calibrating the Volatility Function
- Calibrating the Volatility of Volatility
- Calibrating the Correlation Structure
- When to use to Implied Approach and When to Use the Historical Approach
Empirical Evidence
- Estimating the Volatilities
- Estimating the Volatility of Volatility
- Estimating the Correlation Structure
- Statistical Behaviour of Fitted Parameters, and How to Use This Information for Hedging
Hedging
- Hedging under Normal Market Conditions: How to Quantify the Exposure to Level, Slope and Curvature of the Smile
- Hedging under Conditions of Market Turmoil
Day schedule: 09:00 – 17:00
Break: 10:30 – 10:45
Lunch: 12:30 – 13:30
Break: 15:15 – 15:30
Day 1: The LMM-SABR Model: The New Paradigm for Pricing, Calibrating, Hedging Interest-Rate Derivatives Modelling in the Presence of Smiles: Riccardo Rebonato | Day 2: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Day 3: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Details: | download pdf
| Day 2: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | |||
09.00 - 10.30: Analytical Formulas for Pricing CMS Products in the LMM Model
Presenter: Alexandre Antonov: Senior Quantitative Analyst, NumeriX
- Simultaneous calibration to European swaptions and European CMS products
- Approximation of the European CMS products for the BGM SV model: basic idea
- Case studies:
Approximation of the CMS swaps and CMS caps
Approximation of the CMS spread options
- Numerical experiments
10.30 - 10.45 Break
10.45 - 12.30 Numerical Methods for Markov Functional Models and Their Stability
Presenter: Jochen Theis, Head of Quantitative Risk Management EMEA, Merrill Lynch
- Markov functional models
- General approach to implementation
- Examples of stability issues
- Accuracy estimation and consequences
- Stable numerical schemes
12.30 - 13.30 Lunch
13.30 - 15.00: Theory of Interest Rate Term Structure: Dynamics and Calibration with Stochastic Volatility
Presenters: Dorje C. Brody: Reader in Mathematics, Imperial College London & Lane P Hughston: Professor of Financial Mathematics, Imperial College London
- Overview of the pricing kernel methodologies
- Dynamics of discount bonds, HJM equations
- The volatility structure approach: pros and cons
- Conditional variance representation for the pricing kernel
- Parameterisation and calibration of interest rate dynamics
- Use of chaos expansions in term-structure calibration
- New interest rate models with stochastic volatility
- Pricing interest rate derivatives
- Applications to foreign exchange and FX derivatives
- Macroeconomic models
15.00 - 15.15 Break
15.15 - 17.15: Adjusters, Internal Adjusters, and Pricing Callable Exotics
Presenter: Pat Hagan: Head, Quantitative Analytics, Chief Investment Office, JP Morgan
- Need for risk migrators
- External adjusters
- Rationale for internal adjustors
- Example: Callable range notes
- Extension to other callable exotic
Day 1: The LMM-SABR Model: The New Paradigm for Pricing, Calibrating, Hedging Interest-Rate Derivatives Modelling in the Presence of Smiles: Riccardo Rebonato | Day 2: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Day 3: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Details: | download pdf
| Day 3: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | |||
09.00 - 11.00: Interest Rate Exotics and GPU Computing
Presenter: Claudio Albanese, Independent Consultant
- Stochastic monetary policy models
- Operator methods and GPU coprocessors
- Implementing backward induction
- Optimization algorithms for calibration
- Calibration against swaptions, exotic baskets and correlation data
- Benchmarking against market models and methods with adjustors
- System design on multi-GPU equipment
- Bermudans and callable CMS spread options
- Monte Carlo methods and variance reduction schemes
- Modeling correlations and multicurrency exotics
11.00 - 11.15 Break
11.15 - 12.45: Valuing and Trading Interest Rate Derivatives in a Short Rate Model with Stochastic Volatility
Presenter: Julien Turc: Head of Quantitative Strategy, Société Générale
- A model with Heston volatility
- Solving the model and pricing options
- How the model simulates changes in the curve and in the volatility surface
- Estimating the model
- Historical and relative value analysis
12.45 - 13.45 Lunch
13.45 - 15.15: Stochastic Interest Rates for Local Volatility Hybrids Models
Presenter: Eric Benhamou: CEO, Pricing Partners
- Bias for local volatility model with stochastic Interest rates
- Reduced form for hull and white type models
- Impact on local volatility
- Numerical results and fast calibration
15.15 - 15.30: Break
15.30 - 17.00: Pricing Long-Dated Derivatives with Stochastic Interest Rates and Stochastic Volatility
Presenter: Roger Lord: Quantitative Analyst/Associate Director, Rabobank International
- Examples of long-dated structures
- Incorporating stochastic interest rates in stochastic volatility models
- The Schöbel-Zhu-Hull-White (SZHW) model
- The SZHW Fx model
- Efficient simulation within the Schöbel-Zhu and SZHW models
Day 1: The LMM-SABR Model: The New Paradigm for Pricing, Calibrating, Hedging Interest-Rate Derivatives Modelling in the Presence of Smiles: Riccardo Rebonato | Day 2: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Day 3: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Details: | download pdf
| Details: | |||
Location:
Melia White House Hotel
Albany Street
Regents Park
London NW1 3UP
Hotel Website
Flight details:
All delegates flying into London on the morning of the event are reminded that they should arrive 30 minutes before the workshop starts for registration. The hotels West End location is approximately 1 hour from all 3 main London airports, Heathrow, Gatwick and City. Returning flights should equally allow for the events finishing time.
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Cancellation:
By completing of this form the client hereby enters into a agreement stating that if a cancellation is made by fax or writing within two weeks of the event date no refund shall be given. However in certain circumstances a credit note maybe issued for future events.
Prior to the two week deadline, cancellations are subject to a fee of 25% of the overall course cost.
Day 1: The LMM-SABR Model: The New Paradigm for Pricing, Calibrating, Hedging Interest-Rate Derivatives Modelling in the Presence of Smiles: Riccardo Rebonato | Day 2: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Day 3: Interest Rate Modelling & Interest Rate Exotic & Hybrid Products | Details: | download pdf