Sökning: "Finansiell Matematik"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Finansiell Matematik.

  1. 1. Simulation and Estimation of Diffusion Processes : Applications in Finance

    Författare :Carl Åkerlindh; Finansiell matematik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Diffusion processes; Kalman filter; Uncented Kalman filter; EM algorithm; Kernel estimation; Bandwidth selection; Multilevel Monte Carlo; Simulated maximum likelihood estimation; Julia language;

    Sammanfattning : Diffusion processes are the most commonly used models in mathematical finance, and are used extensively not only by academics but also practitioners. Nowadays a wide range of models, that can capture many of the effects observed in financial markets, are available. LÄS MER

  3. 2. Estimation and Model Validation of Diffusion Processes

    Författare :Erik Lindström; Finansiell matematik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : Estimation and Model Validation of Diffusion Processes Abstract The main motivation for this thesis is the need for estimation and model validation of diffusion processes, i.e. stochastic processes satisfying a stochastic differential equation driven by Brownian motion. LÄS MER

  4. 3. Statistical Modeling of Diffusion Processes with Financial Applications

    Författare :Erik Lindström; Finansiell matematik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; actuarial mathematics; Statistik; operations research; programming; Option pricing; Model validation; Recursive estimation; Diffusion processes; Maximum Likelihood Estimation; operationsanalys; programmering; aktuariematematik; Statistics;

    Sammanfattning : This thesis consists of five papers (Paper A-E) on statistical modeling of diffusion processes. Two papers (Paper A & D) consider Maximum Likelihood estimators for non-linear diffusion processes. LÄS MER

  5. 4. Calibration and Hedging in Finance

    Författare :Love Lindholm; Anders Szepessy; Erik Lindström; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; finance; local volatility; calibration; optimal control; hedging; quadratic hedging; equity; index; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

    Sammanfattning : This thesis treats aspects of two fundamental problems in applied financial mathematics: calibration of a given stochastic process to observed marketprices on financial instruments (which is the topic of the first paper) and strategies for hedging options in financial markets that are possibly incomplete (which is the topic of the second paper).Calibration in finance means choosing the parameters in a stochastic process so as to make the prices on financial instruments generated by the process replicate observed market prices. LÄS MER

  7. 5. Asymptotic Analysis of Hedging Errors Induced by Discrete Time Hedging

    Författare :Mats Brodén; Matematisk statistik; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Discrete time hedging; discretization error; L2 convergence; Non-linear Kalman filters; Calibration;

    Sammanfattning : The first part of this thesis deals with approximations of stochastic integrals and discrete time hedging of derivative contracts; two closely related subjects. Paper A considers the problem of approximating the value of a Wiener process. LÄS MER