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en:mafi [2016/06/06 17:59] rbourlesen:mafi [2019/01/10 17:11] (Version actuelle) cpouet
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 +=====Course unit: Financial mathematics=====
  
 +  * Title in French: Mathématiques financières 
 +  * Course code: tba
 +  * ECTS credits: 2
 +  * Teaching hours: 50h
 +  * Type: specialized course
 +  * Language of instruction: English
 +  * Coordinator: Christophe Pouet
 +  * Instructor(s): Ismail Akil (JP Morgan) , Philippe Bertrand, Abderrahim Ben Jazia (RSM France)
 +
 +**Brief description**
 +
 +This course is a specialized course for anyone interested in mathematical finance. The main topics are advanced derivatives pricing, interest rate models, numerical methods in finance and portfolio management with structured products. 
 +
 +**Learning outcomes**
 +
 +  * Discover more complex financial models (interest rate models, models with stochastic volality,...)
 +  * Know how to use numerical methods to price financial product
 +
 +**Course content**
 +
 +__//Advanced mathematical finance//__
 +  - Local volatility models (Dupire, CEV)
 +  - Stochastic volatility models (Heston, SABR)
 +  - Interest rate models (Vasicek, Hull&White, Cox-Ingersoll-Ross)
 +  - Princing with Matlab
 +
 +__//Advanced portfolio management//__
 +  - The principles of portfolio insurance
 +  - Three basic methods (Stop-loss, CPPI, OBPI)
 +  - Dynamic management and simulations
 +
 +**Bibliography**
 +  * Bertrand, P. et Prigent, J.-L., "Gestion de portefeuille : analyse quantitative et gestion structurée" , Economica, 2006.
 +  * Lamberton, D. and B. Lapeyre, "Introduction to Stochastic Calculus Applied to Finance", 2nd ed., Chapman and Hall/CRC, 2007