Sökning: "Heston model"

Visar resultat 1 - 5 av 26 uppsatser innehållade orden Heston model.

  1. 1. Deep Learning and the Heston Model:Calibration & Hedging

    Kandidat-uppsats, Göteborgs universitet/Institutionen för nationalekonomi med statistik

    Författare :Oliver Klingberg Malmer; Victor Tisell; [2020-07-03]
    Nyckelord :deep learning; deep hedging; deep calibration; option pricing; stochastic volatilty; Heston model; S P 500 index options; incomplete markets; transaction costs;

    Sammanfattning : The computational speedup of computers has been one of the de ning characteristicsof the 21st century. This has enabled very complex numerical methods for solving existingproblems. As a result, one area that has seen an extraordinary rise in popularity over the lastdecade is what is called deep learning. LÄS MER

  2. 2. Implied volatility expansion under the generalized Heston model

    Kandidat-uppsats, Mälardalens högskola/Akademin för utbildning, kultur och kommunikation; Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Författare :Hanna Andersson; Ying Wang; [2020]
    Nyckelord :Heston model; Generalized Heston model; implied volatility; implied volatility expansion; Black–Scholes; Monte Carlo method; European options;

    Sammanfattning : In this thesis, we derive a closed-form approximation to the implied volatility for a European option, assuming that the underlying asset follows the generalized Heston model. A new para- meter is added to the Heston model which constructed the generalized Heston model. LÄS MER

  3. 3. American option prices and optimal exercise boundaries under Heston Model–A Least-Square Monte Carlo approach

    Kandidat-uppsats, Mälardalens högskola/Akademin för utbildning, kultur och kommunikation; Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Författare :Omar Mohammad; Rafi Khaliqi; [2020]
    Nyckelord :options; pricing; american; Monte-Carlo; Least square; heston model; stochastic; volatility; early exercise boundary volatility;

    Sammanfattning : Pricing American options has always been problematic due to its early exercise characteristic. As no closed-form analytical solution for any of the widely used models exists, many numerical approximation methods have been proposed and studied. LÄS MER

  4. 4. Consistent pricing of VIX options

    Master-uppsats, Lunds universitet/Matematisk statistik

    Författare :Wilhelm Ålander; [2020]
    Nyckelord :VIX; Option pricing; Fourier methods.; Mathematics and Statistics;

    Sammanfattning : This thesis is an extension from the thesis "To what degree is the VIX benchmark computed by CBOE representative of its definition?" presented on June 16 in 2018. The primary purpose of this thesis is to investigate a consistent way of Fourier pricing with the Heston model and whether or not the estimates can be improved by extending the amount of CIR processes in order to catch the non-linear behavior of VIX options. LÄS MER

  5. 5. Option pricing models: A comparison between models with constant and stochastic volatilities as well as discontinuity jumps

    Kandidat-uppsats, Umeå universitet/Institutionen för matematik och matematisk statistik; Umeå universitet/Institutionen för matematik och matematisk statistik

    Författare :Carl Paulin; Maja Lindström; [2020]
    Nyckelord :Financial mathematics; option pricing; calibration; options; parameter calibration; Black Scholes Merton model; Heston model; Bates model; Merton jump diffusion model; Black Scholes;

    Sammanfattning : The purpose of this thesis is to compare option pricing models. We have investigated the constant volatility models Black-Scholes-Merton (BSM) and Merton’s Jump Diffusion (MJD) as well as the stochastic volatility models Heston and Bates. LÄS MER