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Foreign Exchange Options on Heston-CIR Model Under Lévy Process Framework
Applied Mathematics and Computation. 2023. No. 446. Article 127851.
Ascione G., Mehrdoust F., Orlando G., Samimi O.
In this paper, we consider the Heston-CIR model with Lévy process for pricing in the foreign exchange (FX) market by providing a new formula that better fits the distribution of prices. To do that, first, we study the existence and uniqueness of the solution to this model. Second, we examine the strong convergence of the Lévy process with stochastic domestic short interest rates, foreign short interest rates and stochastic volatility. Then, we apply Least Squares Monte Carlo (LSMC) method for pricing American options under our model with stochastic volatility and stochastic interest rate. Finally, by considering real-world market data, we illustrate numerical results for the four-factor Heston-CIR Lévy model.
Карпова Д. А., Sizova I., Gordin V. E., Креативные индустрии 2026 Т. 2 № 2 С. 10–31
This article examines the musealisation of industrial heritage and its role in regional and corporate branding. The relevance of this study stems from deindustrialisation processes, the growth of industrial tourism, and the need to preserve historical memory, which is particularly important in the context of Russian realities—the lack of a legal definition of the concept ...
Added: September 9, 2026
Veselova L. S., Морозова В. С., Дарчиева А. А., Управленец 2026 Vol. 17 No. 4 P. 66–78
На фоне развивающихся торгово-экономических отношений между Россией и Китаем российские десерт- ные бренды получают новые возможности для выхода на китайский рынок. Однако их присутствие ограничено преи- мущественно приграничными регионами, а продвижение сдерживается недостаточной адаптацией к социокультурным особенностям китайских потребителей. Статья посвящена разработке практических рекомендаций по формированию стратегии адаптации российских десертных брендов к специфике китайского рынка. ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 8 С. 110–123
Для многокритериальных задач принятия решений по аналогии с качественной вероятностью введены понятия полной и частичной качественной важности как бинарных отношений, обладающих постулируемыми
свойствами. Предложено новое определение отношения нестрогого предпочтения на множестве вариантов решений, порождаемое качественной
важностью. Исследованы его свойства. Указаны аналитические правила,
позволяющие попарно сравнивать варианты по предпочтительности. Проведено сравнение новых отношений предпочтения с разработанными ранее для задач, ...
Added: September 9, 2026
Podinovskiy V. V., Нелюбин А. П., Автоматика и телемеханика 2026 № 7 С. 113–126
Рассматриваются задачи принятия решений, когда предпочтения оцениваются в порядковой шкале, а возможности реализации значений
неопределенного фактора описываются качественной вероятностью (полной или только частичной). Вводятся определения отношений предпочтения и безразличий на множестве стратегий. Предлагаются простые
решающие правила, позволяющие сравнивать стратегии по предпочтительности, и приводятся иллюстративные примеры. ...
Added: September 9, 2026
Kilinc-Ata N., Warong M. M., SN Business & Economics 2026 Vol. 6 Article 326(2026)
Green transitions are widely expected to attract cleaner capital and accelerate decarbonization; however, emerging-economy evidence increasingly challenges this assumption. This study examines the dynamic relationship between energy transition indicators and capital inflows in BRICS+ economies over the period 1996–2022, explicitly testing the “Green Haven” hypothesis under conditions of global uncertainty. Unlike much of the existing ...
Added: September 9, 2026
Warong M. M., International Journal of Diplomacy and Economy 2026
This study conducted in Indonesia between 2000 and 2023, demonstrates a complex, non-linear interplay between the economic environment and the emergence of clean energy start-ups. Using Autoregressive Distributed Lag and Markov Switching models, the research shows that start-up formation coincides with periods of lower GDP growth, suggesting that innovation is often spurred by necessity. Two ...
Added: September 9, 2026
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Кореневский В. В., Экономика и математические методы 2026 Т. 25 № 3 С. 853–878
The US presidential election is a lengthy and complex process, during which candidates present their views and programs for reforming the country's politics and economy, while mass media broadcast these positions to a wide audience. In the most recent election, the topic of cryptocurrencies was used in the campaign for the electorate for the first ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Veselova A., Dikova D., Aray Y., Asia Pacific Journal of Management 2026
We examine board of directors’ gender diversity and corporate social responsibility (CSR) disclosure of Russian firms, and test for their effects on the market valuation of these firms. The Russian context is unique because gender disparity of boards and top management remains high in Russia due to historical legacy, absence of specific diversity-promoting regulations and ...
Added: September 8, 2026
Mozias P., Социальные и гуманитарные науки. Отечественная и зарубежная литература. Серия 9: Востоковедение и африканистика 2026 № 2 С. 173–208
Abstract. Over the years of market reforms, China has moved from an autarkic economy to the position of the world’s largest trading power, becoming a global leader both in export volume and in total foreign trade turnover. For a long time, China’s export success was commonly explained by her use of comparative advantages in labor-intensive ...
Added: September 7, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density.
We generalize the bound to polynomials in several variables and almost periodic functions.
We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Kelbert M., Statistics 2026 Vol. 60
We present variational representations for the weighted divergencies
and exponential error function, and discuss implications for the
statistical inference and entropic optimal transport. ...
Added: September 7, 2026
Kucheryavyy P., Математические заметки 2026 Т. 2026 № 120 С. 380–401
В работе изучаются перестановки, возникающие при упорядочивании по возрастанию дробных долей произведений элементов фиксированной целочисленной последовательности на вещественный параметр. Исследуется количество различных перестановок, которые можно получить таким образом при изменении этого параметра от нуля до единицы. ...
Added: September 7, 2026
Kolesnik N. A., Общество и экономика 2026 № 1-2 С. 114–134
Стремительно растущее население планеты и рост объемов индивидуального потребления при низкой включенности населения в экологические практики признается ключевым
препятствием на пути к экономике замкнутого цикла. В статье анализируется использование
огромного рекламно-коммуникационного потенциала крупных торговых сетей для вовлечения
населения в экономику замкнутого цикла через повышение экологической сознательности и популяризацию ответственного потребления. Эмпирической основой исследования стала база данных коммуникации шести ...
Added: September 6, 2026
Orlando G., Bufalo M., Technological and Economic Development of Economy 2023 Vol. 29 No. 4 P. 1216–1238
This research aims to propose the so-called CIR#, which takes its cue from the well- known Cox-Ingersoll-Ross (CIR) model originally devised for pricing, as a general econometric model. To this end, we present the results on two very different time series such as Polish interest rates (subject to market sentiments) and seasonal tourism (subject to ...
Added: February 22, 2024
Alexander Gushchin, Pavlyukevich I., Ritsch M., Statistical Inference for Stochastic Processes 2020 Vol. 23 No. 3 P. 553–570
We consider the problem of estimation of the drift parameter of an ergodic Ornstein–
Uhlenbeck type process driven by a Lévy process with heavy tails. The process is observed
continuously on a long time interval [0, T ], T →∞. We prove that the statistical model is
locally asymptotic mixed normal and the maximum likelihood estimator is asymptotically
efficient. ...
Added: October 27, 2020
Belkina T. A., Kabanov Y., Theory of Probability and Its Applications 2016 Vol. 60 No. 4 P. 671–679
We consider a model of an insurance company investing its reserve into a risky asset whose price follows a geometric Lévy process. We show that the nonruin probability is a viscosity solution of a second order integro-differential equation and prove a uniqueness theorem for the latter. ...
Added: February 23, 2017
Moreno-Franco H. A., Applied Mathematics and Optimization 2018 Vol. 78 No. 1 P. 25–60
The main goal of this paper is to establish existence, regularity and uniqueness results for the solution of a Hamilton–Jacobi–Bellman (HJB) equation, whose operator is an elliptic integro-differential operator. The HJB equation studied in this work arises in singular stochastic control problems where the state process is a controlled d-dimensional Lévy process. ...
Added: October 12, 2016
Gushchin A. A., Küchler U., Stochastic Processes and their Applications 2000 Vol. 88 No. 2 P. 195–211
Let a be a finite signed measure on [-r,0], Z a Lévy process (that is a real process with independent stationary increments and càdlàg paths). A linear stochastic delay differential equation
X(t)=X(0)+∫ 0 t ∫ [-r,0] X(s+u)da(u)ds+Z(t),t≥0,(1)
driven by Z is studied, only càdlàg solutions to (1) such that Z and (X(t),-r≤t≤0) are independent being considered. Set ...
Added: October 8, 2013