Essays about: "JUMP-DIFFUSION"

Showing result 1 - 5 of 30 essays containing the word JUMP-DIFFUSION.

  1. 1. Implementation and evaluation of the Heston-Queue-Hawkes option pricing model

    University essay from Uppsala universitet/Sannolikhetsteori och kombinatorik

    Author : Samuel Rosén; [2023]
    Keywords : HQH; Heston Queue Hawkes; Option Pricing; jump diffusion;

    Abstract : Introduction: This thesis presents a python implementation and evaluation of the Heston-Queue-Hawkes (HQH) model, a recent jump-diffusion model for pricing options. The model is capable of tracking options for a wide range of different underlying assets. READ MORE

  2. 2. Artificial Intelligence for Option Pricing

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Emil Hietanen; [2022-06-19]
    Keywords : Options; calls; puts; pricing; artificial neural networks; models; volatility; comparison;

    Abstract : This thesis addresses the issue of vulnerable underlying assumptions used in option pricing methodology. More precisely; underlying assumptions made on the financial assets and markets make option pricing theory vulnerable to changes in the financial framework. READ MORE

  3. 3. Risk Assessment of International Mixed Asset Portfolio with Vine Copulas

    University essay from Linköpings universitet/Tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Axel Nilsson; [2022]
    Keywords : Vine Copulas; Extreme Value Theory; Financial Risk Management; Vine Copulas; Extremvärdesteori; Finansiell riskhantering;

    Abstract : This thesis gives an example of assessing the risk of a financial portfolio with international assets, where the assets may be of different classes, by the use of Monte Carlo simulation and Extreme Value Theory. The simulation uses univariate modelling, models of the assets’ returns as stochastic processes, as well as vine copulas to create dependency between the variables. READ MORE

  4. 4. Monte-Carlo Based Pricing of American Options Using Known Characteristics of the Expected Continuation Value Function

    University essay from Lunds universitet/Matematisk statistik

    Author : Olle Ottander; Fredrik Lindstedt; [2022]
    Keywords : Option; American Option; Monte-Carlo; Least-Square; Black-Scholes; Merton; Finite Moment Log Stable; FMLS; Heston; Expected Continuation Value; Mathematics and Statistics;

    Abstract : The problem of pricing American stock options is far more complex than pricing European options due to the possibility of early execution. This feature means that the decision to either hold on to the option or exercising it early must be continually evaluated, leading to closed form solutions such as the Black-Scholes Formula to not be applicable on American options written on dividend paying assets. READ MORE

  5. 5. Deep learning for portfolio optimization

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : JOHN N. MBITI; [2021]
    Keywords : Portfolio optimization; optimal portfolio; jump diffusion; Itô-Lévy process; stochastic control; dynamic programming; HJB equation; utility optimization; stochastic gradient descent; Deep learning; neural network.;

    Abstract : In this thesis, an optimal investment problem is studied for an investor who can only invest in a financial market modelled by an Itô-Lévy process; with one risk free (bond) and one risky (stock) investment possibility. We present the dynamic programming method and the associated Hamilton-Jacobi-Bellman (HJB) equation to explicitly solve this problem. READ MORE