Sökning: "Malliavin calculus"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Malliavin calculus.
1. Essays on Lookback and Barrier Options - A Malliavin Calculus Approach
Sammanfattning : 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. LÄS MER
2. Some Extensions of Fractional Ornstein-Uhlenbeck Model : Arbitrage and Other Applications
Sammanfattning : 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. LÄS MER
3. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions
Sammanfattning : 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. LÄS MER
4. Numerical Complexity Analysis of Weak Approximation of Stochastic Differential Equations
Sammanfattning : 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. LÄS MER
5. Analytical Approximation of Contingent Claims
Sammanfattning : 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. LÄS MER