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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.
Брычков М. Е., Незнанов А.А., Программирование 2026 № 4 С. 50–66
The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...
Added: October 9, 2026
ООО "Издательство Юрайт ", 2026.
The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...
Added: October 9, 2026
Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913
The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...
Added: October 9, 2026
Bessonova E., Popova S., Fedulova M., Emerging Markets Review 2026 Vol. 75 Article 101564
To mitigate the shocks caused by the pandemic-related restrictions, many governments implemented extensive support measures for companies facing sharp declines in revenues. In Russia, loan guarantee programmes allowed many firms to apply for loans during the pandemic. As a result, the number of small loans soared. Participation in the loan guarantee programmes helped firms in ...
Added: October 8, 2026
Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124
We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...
Added: October 8, 2026
Kuzminov Y., Koshel A., Kruchinskaia E., Russian Journal of Economics 2026 No. 12(3) P. 311–334
The expansion of digital platforms and ecosystems is reshaping consumption and the structure of modern markets. In the Russian context, a representative survey conducted by the authors indicates frequent online purchasing driven primarily by time savings, broader assortment and price accessibility. Platforms thus generate consumer benefits, including non-monetary gains that are not fully captured by ...
Added: October 8, 2026
Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245
This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...
Added: October 8, 2026
Люксембург А. А., УРСС, 2005.
Изучается возможность автоматизированного построения математических теорий. Рассматривается дедуктивная система, основанная на языке логики предикатов первого порядка, объектами системы являются математические выражения или формулы, которые описывают математические объекты или их свойства. В дедуктивной системе выводятся математические определения и теоремы. Для доказательства теорем используются методы автоматического доказательства. Разработан алгоритм, выводящий часть формул системы. Для решения задачи используется аппарат математической ...
Added: October 7, 2026
Aleskerov F. T., Chaika E., Дерендяев А. Б. et al., Procedia Computer Science 2026 No. 287 P. 590–595
Under conditions of dynamic socio-economic changes, effective planning and decision-making are key factors in ensuring a high quality of life for the population in territories. This paper presents a decision support system for territorial administrations for the development and implementation of sustainable development strategies, using one of the regions of the Russian Federation – the ...
Added: October 7, 2026
Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7
We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...
Added: October 6, 2026
Kuzminov Y., Kruchinskaia E., Koshel A. et al., М.: Издательский дом НИУ ВШЭ, 2026.
В научном докладе цифровые платформы впервые рассмотрены не как частный сегмент цифрового рынка, а как новый институциональный механизм организации экономики. В одной исследовательской рамке соединены экономика, право, социология, компьютерные науки, информационная безопасность, данные бизнеса и регуляторная практика — все то, что позволяет взглянуть на платформы как на институт со своими правилами игры. Особую ценность работе ...
Added: October 6, 2026
Lola I. S., Ostapkovich G. V., Asoskov D., ИСИЭЗ НИУ ВШЭ, 2026.
Центр конъюнктурных исследований Института статистических исследований и экономики знаний НИУ ВШЭ представляет информационно-аналитический материал «Потребительские настроения населения в III квартале 2026 г.», подготовленный в рамках Программы фундаментальных исследований НИУ ВШЭ.
В основу обзора положены ежеквартальные опросы более 5 тыс. человек в возрасте от 16 лет и старше. Такие опросы Федеральная служба государственной статистики (Росстат) проводит во всех субъектах ...
Added: October 6, 2026
Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875
We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...
Added: October 5, 2026
Rastvortseva S., Tyushkevich Y., Salushkina Z. S., Journal of regional and international competitiveness 2026 Vol. 7 No. 2 P. 38–49
This paper examines the contemporary models of international competitiveness adopted by Big Tech corporations between 2010 and 2025. The study aims to identify the internal drivers underpinning the resilience of technological giants and to assess their capacity to withstand external shocks, including sanctions, geo-economic fragmentation, and regulatory shifts. To achieve this objective, the authors employ ...
Added: October 5, 2026
De Gruyter, 2026.
Post-Soviet Eurasia is one of the world's most geopolitically consequential and rapidly transforming regions. Developments across it increasingly reshape political, economic and social relations far beyond its borders. Understanding these dynamics is therefore both intellectually urgent and analytically demanding, requiring an interdisciplinary approach capable of moving beyond established categories and fragmented national perspectives.
This handbook provides ...
Added: October 5, 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