sbmac@sbmac.org.br

(16) 99637-4820

Programa de Verão do Instituto de Matemática da UFRJ

O Claudio Albanese tem uma excelente experiência tanto acadêmica quanto de trabalho com as empresas (vejam  http://www.level3finance.com/). Trabalha em Londres e esta vai ser uma oportunidade única para os alunos da graduação e pós-graduação.

Os alunos interessados devem enviar email para: verao@im.ufrj.br e lella@im.ufrj.br
As inscrições devem ser feitas na página da pós-graduação: http://www.pg.im.ufrj.br/verao.html

   
Minicurso de 16 horas (primeira semana de fevereiro)

Professor: Claudio Albanese
 claudio@albanese.co.uk
http://www.level3finance.com/

Titulo: Financial Derivatives and the Engineering of Global Calibration

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 Ementa:

1. Financial Derivatives

Financial Contracts and Temporal Modal Logic

Pricing by Robust Replication

The Fundamental Theorem of Finance

Global Calibration

Local Calibration

2. High Performance and High Throughput Computing

Latest micro-architectures and current trends

SIMD and MIMD processors

High density CPU boards: Nehalem and Opterons

GPU microchips: Tesla, Cypress and Larrabee

PCIe and chipsets

3. Finance with Operator Methods

Semi-martingale property, high frequency trading and arbitrage

Markov Processes and Generators

Fast Exponentiation

Convergence in Graph Norm: Theory and Empirical Evidence

Single Precision Robustness

Monte Carlo Methods

4. OPLIB: Low Level Performance Critical Primitives

Third Level BLAS

Matrix Multiplication on the nVidia Tesla architecture

Matrix Multiplication on the AMD Juniper and Cypress architectures

Batching Strategies and Fourth Level BLAS

Optimizing Scenario Generation Algorithms

5. Model Design and Global Calibration

Model Design without Analytic Solvability

Combining Slow and Fast Factors

Equity Models

Foreign Exchange Models

Interest Rate Models

Examples of Global Calibration

6. Multi-Factor Models

Heterogeneous Clusters with High Density GPU and High Density CPU Nodes

Orchestrating a Kernel Factory

Dynamic Gaussian Copulas

Numerical Radon-Nykodym Derivatives and Sensitivity Analysis

Dynamic Portfolio Simulation

7. Single Factor Path Dependent Derivatives

Theory of Abelian Processes

Feynman-Kac-Girsanov-Ito Theorem

Moment Methods

Example 1: Exotic Volatility Derivatives

Example 2: Derivatives on Cliquets

8. Credit Modelling

Defaultable Equity Models

Aggregate Calibration Strategies and Industry Sector Analysis

CDS Curves

Dynamic Conditioning versus Dynamic Gaussian Copulas

CDO Calibration

Counterparty Risk

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