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Fifty years at the interface between financial modeling and operations research
Over the last fifty years, there has been an increasing intersection of methodologies,
applications, and contributions at the frontier of finance and operations research. This invited …
applications, and contributions at the frontier of finance and operations research. This invited …
Numerical approximation and fast implementation to a generalized distributed-order time-fractional option pricing model
M Zhang, J Jia, X Zheng - Chaos, Solitons & Fractals, 2023 - Elsevier
We present a fully-discrete finite element scheme to a generalized distributed-order time-
fractional option pricing model, which adequately describes, eg, the valuation of the …
fractional option pricing model, which adequately describes, eg, the valuation of the …
A data-driven framework for consistent financial valuation and risk measurement
In this paper, we propose a general data-driven framework that unifies the valuation and risk
measurement of financial derivatives, which is especially useful in markets with thinly-traded …
measurement of financial derivatives, which is especially useful in markets with thinly-traded …
Monte Carlo method for pricing lookback type options in Lévy models
OE Kudryavtsev, AS Grechko, IE Mamedov - Theory of Probability & Its …, 2024 - SIAM
We construct a universal Monte Carlo method for pricing the options whose payout function
depends on the final position of the extremum of the Lévy process. The proposed method is …
depends on the final position of the extremum of the Lévy process. The proposed method is …
The return barrier and return timer option with pricing under Lévy processes
This work introduces two new financial derivatives into the finance literature. The first is the
return barrier option, which has emerged recently as a popular contract in the OTC markets …
return barrier option, which has emerged recently as a popular contract in the OTC markets …
A simplified Wiener–Hopf factorization method for pricing double barrier options under Lévy processes
O Kudryavtsev - Computational Management Science, 2024 - Springer
We developed a new method to price double barrier options under pure non-Gaussian Lévy
processes admitting jumps of unbounded variation. In our approach, we represent the …
processes admitting jumps of unbounded variation. In our approach, we represent the …
Optimal harvesting under marine reserves and uncertain environment
M Gaïgi, VL Vath, S Scotti - European Journal of Operational Research, 2022 - Elsevier
Persistence in the literature is the perception of an inherent tradeoff between ecological
conservation and economic harvesting goals. Overexploitation may lead to resource …
conservation and economic harvesting goals. Overexploitation may lead to resource …
Метод Монте-Карло для вычисления цен опционов типа lookback в моделях Леви
ОЕ Кудрявцев, АС Гречко, ИЭ Мамедов - Теория вероятностей и ее …, 2024 - mathnet.ru
В статье построен универсальный метод Монте-Карло для оценивания опционов,
функция выплат которых зависит от конечного положения экстремума процесса Леви …
функция выплат которых зависит от конечного положения экстремума процесса Леви …
Early exercise boundaries for American-style knock-out options
JPV Nunes, JP Ruas, JC Dias - European Journal of Operational Research, 2020 - Elsevier
This paper proposes a novel representation for the early exercise boundary of American-
style double knock-out options in terms of the simpler optimal stop** boundary of a nested …
style double knock-out options in terms of the simpler optimal stop** boundary of a nested …
Pricing discretely monitored barrier options under Markov processes through Markov chain approximation
The authors propose an explicit closed-form approximation formula for the price of discretely
monitored single or double barrier options with an underlying asset that evolves according …
monitored single or double barrier options with an underlying asset that evolves according …