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Media Statistika, 2022 The Option is widely applied in the financial sector. The Black-Scholes-Merton model is often used in calculating option prices on a stock price movement.
Abdul Hoyyi +2 more
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PENENTUAN KONTRAK OPSI TIPE EROPA MENGGUNAKAN MODEL SIMULASI VARIANCE GAMMA (VG)
E-Jurnal Matematika, 2023 Options are used as a hedge against stock price uncertainty brought on by unstable stock prices fluctuation. The price of an option contract can be determined using a variety of approaches, one of which is the Variance Gamma. The purpose of this study is
NI KADEK LANI PITRAYANI +2 more
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Extension of Short Rate Model Under a Lévy Process
Fountain Journal of Natural and Applied Sciences (FUJNAS), 2023 A lot of abnormalities occur in real-life scenarios, thus leading to some difficulties in modelling such scenarios without a deeper understanding of certain aspects of Lévy processes.
Dr A. M. Udoye
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Special greeks of a variance-gamma driven vasicek model
Scientific African, 2023 Abrupt happenings in financial markets have resulted to the need to adopt Lévy processes such as a variance gamma process in modelling financial derivatives since it has the ability to capture jumps that occur in such scenario.
Adaobi M. Udoye, Lukman S. Akinola
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The Variance Gamma Distribution [PDF]
Significance, 2019 Abstract Scott Nestler and Andrew Hall provide an overview of a little-known but highly flexible distribution, which can be useful for modelling share price ...
Scott Nestler, Andrew Hall
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On the Moments of the Variance-Gamma Distribution
Statistics & Probability Letters, 2023 6 ...
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Efficient simulation of gamma and variance-gamma processes [PDF]
Proceedings of the 2003 International Conference on Machine Learning and Cybernetics (IEEE Cat. No.03EX693), 2004 We study algorithms for sampling discrete-time paths of a gamma process and a variance-gamma process, defined as a Brownian process with random time change obeying a gamma process. The attractive feature of the algorithms is that increments of the processes over longer time scales are assigned to the first sampling coordinates. The algorithms are based
Avramidis, Athanassios.N. +2 more
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Optimal Variance–Gamma approximation on the second Wiener chaos [PDF]
Journal of Functional Analysis, 2022 In this paper, we consider a target random variable $Y \sim \CVG$ distributed according to a centered Variance--Gamma distribution. For a generic random element $F=I_2(f)$ in the second Wiener chaos with $\E[F^2]= \E[Y^2]$ we establish a non-asymptotic optimal bound on the distance between $F$ and $Y$ in terms of the maximum of difference of the first ...
Azmoodeh, Ehsan +2 more
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Stat, 2023 Lévy processes are useful tools for analysis and modeling of jump‐diffusion processes. Such processes are commonly used in the financial and physical sciences. One approach to building new Lévy processes is through subordination, or a random time change.
Caitlin M. Berry, William Kleiber
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SOME PRICING TOOLS FOR THE VARIANCE GAMMA MODEL [PDF]
International Journal of Theoretical and Applied Finance, 2020 We establish several closed pricing formulas for various path-independent payoffs, under an exponential Lévy model driven by the Variance Gamma process. These formulas take the form of quickly convergent series and are obtained via tools from Mellin transform theory as well as from multidimensional complex analysis.
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