Modeling Asset Price Under Two-Factor Heston Model with Jumps

In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call optio...

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Veröffentlicht in:International journal of applied and computational mathematics 2017-12, Vol.3 (4), p.3783-3794
Hauptverfasser: Mehrdoust, Farshid, Saber, Naghmeh, Najafi, Ali Reza
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Saber, Naghmeh
Najafi, Ali Reza
description In this paper, we present an extension of the double Heston’s stochastic volatility model by adding jumps to financial modeling for stock prices. We assume that the underlying asset price follows the double Heston’s stochastic volatility model with jumps. In order to evaluate the European call option pricing, we use the Fast Fourier transform approach as an effective tool in the valuation of options and compare it with a discretization scheme in naive Monte-Carlo and antithetic variates Monte-Carlo methods.
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subjects Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Computer simulation
Fast Fourier transformations
Fourier transforms
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Modelling
Monte Carlo simulation
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
Volatility
title Modeling Asset Price Under Two-Factor Heston Model with Jumps
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