Results 41 to 50 of about 257,172 (325)
Geometric fractional Brownian motion model for commodity market simulation
Alexandria Engineering Journal, 2021 The geometric Brownian motion (GBM) model is a mathematical model that has been used to model asset price paths. By incorporating Hurst parameter to GBM to characterize long-memory phenomenon, the geometric fractional Brownian motion (GFBM) model was ...
Siti Nur Iqmal Ibrahim +2 more
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Discrete Dynamics in Nature and Society, 2020 In this paper, we first investigate the stochastic representation of the modified advection-dispersion equation, which is proved to be a subordinated stochastic process.
Longjin Lv, Luna Wang
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Option pricing of geometric Asian options in a subdiffusive Brownian motion regime
AIMS 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
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Mathematics, 2023 In this paper, we propose an enhanced model for pricing vulnerable options. Specifically, our model assumes that parameters such as interest rates, jump intensity, and asset value volatility are governed by an observable continuous-time finite-state ...
Xiangdong Liu, Zanbin Zhang
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Asian Option Pricing with Monotonous Transaction Costs under Fractional Brownian Motion
Journal of Applied Mathematics, 2013 Geometric-average Asian option pricing model with monotonous transaction cost rate under fractional Brownian motion was established. The method of partial differential equations was used to solve this model and the analytical expressions of the Asian ...
Di Pan +3 more
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Delay geometric Brownian motion in financial option valuation [PDF]
, 2012 Motivated by influential work on complete stochastic volatility models, such as Hobson and Rogers [11], we introduce a model driven by a delay geometric Brownian motion (DGBM) which is described by the stochastic delay differential equation dSðtÞ ¼ mðSðt
Mao, Xuerong, Sabanis, Sotirios
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Infinite ergodicity for geometric Brownian motion
, 2022 Geometric Brownian motion is an exemplary stochastic processes obeying multiplicative noise, with widespread applications in several fields, e.g. in finance, in physics and biology. The definition of the process depends crucially on the interpretation of the stochastic integrals which involves the discretization parameter $α$ with $0 \leq α\leq 1 ...
Giordano, Stefano +2 more
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Frontiers in Applied Mathematics and StatisticsThis research is devoted to studying a geometric Brownian motion with drift switching driven by a 2 × 2 Markov chain. A discrete-time multiplicative approximation scheme was developed, and its convergence in Skorokhod topology to the continuous-time ...
Vitaliy Golomoziy +2 more
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Linear drift and entropy for regular covers [PDF]
, 2009 We consider a regular Riemannian cover $\M$ of a compact Riemannian manifold. The linear drift $\ell$ and the Kaimanovich entropy $h$ are geometric invariants defined by asymptotic properties of the Brownian motion on $\M$. We show that $\ell^2 \leq h$
Ledrappier, François
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Central Limit Theorems for the Brownian motion on large unitary groups [PDF]
, 2009 In this paper, we are concerned with the large N limit of linear combinations of the entries of a Brownian motion on the group of N by N unitary matrices. We prove that the process of such a linear combination converges to a Gaussian one.
De France +3 more
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