Essays about: "Heston model"

Showing result 1 - 5 of 18 essays containing the words Heston model.

  1. 1. A Utility Approach: Strategy Analysis and Optimization

    University essay from Lunds universitet/Matematisk statistik

    Author : Magnús Ólafur Sigurdsson; [2019]
    Keywords : Utility optimization; Portfolio analysis; Dynamic programming; Bellman equation.; Technology and Engineering;

    Abstract : Utility theory and Monte Carlo simulations are used to calculate optimal allocation for long term as well as, risk averse investors with a portfolio consisting of one risky asset and one risk-free bank account. The problems solved in this thesis are divided into two types, static and dynamic. READ MORE

  2. 2. Asymptotic results for American option prices under extended Heston model

    University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Author : Veronica Teri; [2019]
    Keywords : American options; Stochastic Volatility; Extended Heston model; Fast mean–reversion volatility; Asymptotic expansion; Average Volatility;

    Abstract : In this thesis, we consider the pricing problem of an American put option. We introduce a new market model for the evolution of the underlying asset price. Our model adds a new parameter to the well known Heston model. Hence we name our model the extended Heston model. READ MORE

  3. 3. An introduction to Multilevel Monte Carlo with applications to options.

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Kristofer Cronvald; [2019]
    Keywords : Multilevel Monte Carlo; Options; Mathematical finance; Simulation; Stochastic Differential Equations; Computational complexity; Strong convergence; Weak convergence; Euler-Maruyama; Milstein.;

    Abstract : A standard problem in mathematical finance is the calculation of the price of some financial derivative such as various types of options. Since there exists analytical solutions in only a few cases it will often boil down to estimating the price with Monte Carlo simulation in conjunction with some numerical discretization scheme. READ MORE

  4. 4. To what degree is the VIX benchmark computed by CBOE representative of its definition?

    University essay from Lunds universitet/Matematisk statistik

    Author : Patrik Liedbeck; Wilhlem Ålander; [2018]
    Keywords : Mathematics and Statistics;

    Abstract : The purpose of this paper is through an empirical approach understand the dynamics of VIX and investigate to what degree the benchmark computed by CBOE is representative of its definition. The method implemented is of a design where one constructs a hypothetical world in which synthetic options data are produced by the Bates-Heston model. READ MORE

  5. 5. Optimal portfolio allocation by the martingale method in an incomplete and partially observable market

    University essay from KTH/Matematisk statistik

    Author : Emil Karlsson; [2016]
    Keywords : ;

    Abstract : In this thesis, we consider an agent who wants to maximize his expected utility of his terminal wealth with respect to the power utility by the martingale method. The assets that the agent can allocate his capital to are assumed to follow a stochastic differential equation and exhibits stochastic volatility. READ MORE