Search for dissertations about: "Finite element method for option pricing"

Found 3 swedish dissertations containing the words Finite element method for option pricing.

  2. 1. Valuing Path-Dependent Options using the Finite Element Method, Duality Techniques, and Model Reduction

    Author : Georgios Foufas; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; Galerkin; duality; a posteriori error estimation; adaptivity; option pricing; Greeks; Brownian motion; European option; barrier option; lookback option; Asian option; average option; POD; model reduction; balanced truncation; lookback option;

    Abstract : In this thesis we develop an adaptive finite element method for pricing of several path-dependent options including barrier options, lookback options, and Asian options. The options are priced using the Black-Scholes PDE-model, and the resulting PDE:s are of parabolic type in one spatial dimension with different boundary conditions and jump conditions at monitoring dates. READ MORE

  4. 2. Some Applications of Variational Inequalities in Mathematical Finance and Numerics

    Author : Martin Dahlgren; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; HJB quasi variational inequalities; option pricing; Impulse control; parabolic PDE; finite element method; Galerkin method;

    Abstract : This thesis contains two parts. The first part deals with a stochastic impulse control problem, subject to the restriction of a minimum time lapse in between interventions made by the controller. We prove existence of an optimal control and show that the value function of the control problem satisfies a system of quasi-variational inequalities. READ MORE

  5. 3. Essays in Quantitative Finance

    Author : Patrik Karlsson; Nationalekonomiska institutionen; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; credit valuation adjustment CVA ; derivative pricing; interest rate derivatives; Monte Carlo simulation;

    Abstract : This thesis contributes to the quantitative finance literature and consists of four research papers.Paper 1. This paper constructs a hybrid commodity interest rate market model with a stochastic local volatility function that allows the model to simultaneously fit the implied volatility of commodity and interest rate options. READ MORE