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Option Pricing under the Double Exponential Jump-Diffusion Model with Stochastic Volatility and Interest Rate

open access: diamondJournal of Management Science and Engineering, 2017
This paper proposes an efficient option pricing model that incorporates stochastic interest rate (SIR), stochastic volatility (SV), and double exponential jump into the jump-diffusion settings.
Rongda Chen   +5 more
doaj   +2 more sources

Relativistic Option Pricing

open access: yesInternational Journal of Financial Studies, 2021
The change of information near light speed, advances in high-speed trading, spatial arbitrage strategies and foreseen space exploration, suggest the need to consider the effects of the theory of relativity in finance models. Time and space, under certain
Vitor H. Carvalho, Raquel M. Gaspar
doaj   +1 more source

Option Pricing using Quantum Computers [PDF]

open access: yesQuantum, 2020
We present a methodology to price options and portfolios of options on a gate-based quantum computer using amplitude estimation, an algorithm which provides a quadratic speedup compared to classical Monte Carlo methods.
Nikitas Stamatopoulos   +6 more
doaj   +1 more source

A New Homotopy Transformation Method for Solving the Fuzzy Fractional Black–Scholes European Option Pricing Equations under the Concept of Granular Differentiability

open access: yesFractal and Fractional, 2022
The Black–Scholes option pricing model is one of the most significant achievements in modern investment science. However, many factors are constantly fluctuating in the actual financial market option pricing, such as risk-free interest rate, stock price,
Jianke Zhang, Yueyue Wang, Sumei Zhang
doaj   +1 more source

Strategic option pricing

open access: yesEconomics and Business Review, 2020
In this paper an extension of the well-known binomial approach to option pricing is presented. The classical question is: What is the price of an option on the risky asset?
Bieta Volker, Broll Udo, Siebe Wilfried
doaj   +1 more source

Markov model of option pricing

open access: yesLietuvos Matematikos Rinkinys, 2021
In the article is proposed the algorithm of modeling the dynamics of asset prices by Markov process with continuous time and countable set of states and numerical option pricing.
Eimutis Valakevičius
doaj   +1 more source

European option pricing problem based on a class of Caputo-Hadamard uncertain fractional differential equation

open access: yesAIMS Mathematics, 2023
Uncertain fractional differential equation (UFDE) is very suitable for describing the dynamic change in uncertain environments. In this paper, we consider the European option pricing problem by applying the Caputo-Hadamard UFDEs to simulate the dynamic ...
Hanjie Liu, Yuanguo Zhu, Yiyu Liu
doaj   +1 more source

Martingale Option Pricing [PDF]

open access: yes, 2007
We show that our generalization of the Black-Scholes partial differential equation (pde) for nontrivial diffusion coefficients is equivalent to a Martingale in the risk neutral discounted stock price.
Bassler, K. E.   +2 more
core   +2 more sources

Review of modern numerical methods for a simple vanilla option pricing problem [PDF]

open access: yes, 2018
Option pricing is a very attractive issue of financial engineering and optimization. The problem of determining the fair price of an option arises from the assumptions made under a given financial market model.
Holčapek, Michal   +4 more
core   +1 more source

Option pricing of geometric Asian options in a subdiffusive Brownian motion regime

open access: yesAIMS Mathematics, 2020
In this paper, pricing problem of the geometric Asian option in a subdiffusive Brownian motion regime is discussed. The subdiffusive property is manifested by the random periods of time, during which the asset price does not change.
Zhidong Guo   +2 more
doaj   +1 more source

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