Advanced search
Showing result 1 - 5 of 8 swedish dissertations matching the above criteria.
-
1. Essays on Lookback and Barrier Options - A Malliavin Calculus Approach
Abstract : This thesis consists of four theoretical essays on contingent claim analysis and its connection to Malliavin calculus. The first three papers are analyzed in the famous Black and Scholes model, while the setup of the fourth paper involves an international environment and the presence of exchange rates. READ MORE
-
2. Some Extensions of Fractional Ornstein-Uhlenbeck Model : Arbitrage and Other Applications
Abstract : This doctoral thesis endeavors to extend probability and statistical models using stochastic differential equations. The described models capture essential features from data that are not explained by classical diffusion models driven by Brownian motion.New results obtained by the author are presented in five articles. READ MORE
-
3. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions
Abstract : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. READ MORE
-
4. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations
Abstract : The thesis consists of four papers on numerical complexityanalysis of weak approximation of ordinary and partialstochastic differential equations, including illustrativenumerical examples. Here by numerical complexity we mean thecomputational work needed by a numerical method to solve aproblem with a given accuracy. READ MORE
-
5. Analytical Approximation of Contingent Claims
Abstract : This PhD thesis consists of three separate papers. The common theme is methods to calculate analytical approximations for prices of different contingent claims under various model assumptions. The first two papers deals with approximations of standard European options in stochastic volatility models. READ MORE