Equity Derivatives Advanced Models

Training Provided by London Financial Studies Course Outline This course introduces and applies advanced models for the pricing of equity derivatives. The objective of the workshop is to develop a solid understanding of the current frameworks for pricing equity derivatives and to give participants the mathematical and practical background necessary to apply the various pricing methodologies to the market. Delegates are entitled to a 30 discount on Schoutens's book, L vy Processes in Finance: Pricing Financial Derivatives Who The Course is For * Quantitative analysts * Risk managers * Fund managers * Financial engineers * Researchers * Credit managers * Accountants * Corporate and financial consultants * Treasury managers * Portfolio managers * Venture Capital executives Prior Knowledge Probability theory, basics of stochastic processes, basic concepts of financial products, bionomial tree modelling and the Black-Scholes setting, a good maths background and knowledge of basic maths models, knowledge of basic programming.

Equity Derivatives Advanced Models Day One
Equity Models

* Description, construction and analysis of some of the popular advanced mathematical models for the pricing of financial derivatives in an equity setting.

Shortfalls of the Black-Scholes Model

* Problems with the Normal Distribution
* The need for stochastic volatility
* Implied volatility
* Stylised features of financial returns

An Introduction to L vy Processes

* Definitions
* L vy-Kinthchin representation
* Properties
* Examples

Jump Models

* L vy models
* Variance Gamma model
* Risk-neutral modelling - equivalent martingale measures
* Extensions of the VG model

Workshop: PC-based implementation of the VG model (Matlab)
Day Two
Stochastic Volatility

* Stylised features of volatility
* Heston model
* Heston with jumps
* L vy models with stochastic volatility

Pricing European Options using Characteristic Functions

* Characteristic functions
* Carr-Madan formula for European options
* FFT techniques
* Characteristic function technique for other payoffs

Calibration

* Basic concepts of calibration
* Search algorithm
* Choosing starting values
* Examples

Workshop: PC-based implementation of FFT pricing and calibration algorithm (Matlab)
Day Three
Monte Carlo Simulations: Theory

* Standard sampling of Heston paths
* Standard sampling VG paths
* Advanced sampling methods: Milstein's scheme
* Sampling L vy processes with stochastic volatility paths

Exotic Option Pricing

* Pricing European options using Monte Carlo simulation

Workshop: PC-based implementation of Monte Carlo Simulations and Exotic Option pricing (Matlab): Pricing of Barriers, Cliquets, reverse Cliquets, Asians

At the end of the course delegates should have running on their machines (Matlab):

* FFT pricer for vanillas for VG and/or Heston
* Calibration algorithm for VG and/or Heston
* Monte Carlo Pricers for VG and/or Heston for a range of exotic options

About The Training Provider: London Financial Studies

More Equity Training from London Financial Studies

• Behavioural Finance and Equity Investment Strategies
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