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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">umovest</journal-id><journal-title-group><journal-title xml:lang="ru">Статистика и Экономика</journal-title><trans-title-group xml:lang="en"><trans-title>Statistics and Economics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2500-3925</issn><publisher><publisher-name>Plekhanov Russian University of Economics</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21686/2500-3925-2018-4-61-69</article-id><article-id custom-type="elpub" pub-id-type="custom">umovest-1296</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СТАТИСТИКА И МАТЕМАТИЧЕСКИЕ МЕТОДЫ В ЭКОНОМИКЕ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>STATISTICAL AND MATHEMATICAL METHODS  IN ECONOMICS</subject></subj-group></article-categories><title-group><article-title>Экономико-математическая модель прогнозирования динамики финансового рынка</article-title><trans-title-group xml:lang="en"><trans-title>Economic-mathematical model for predicting financial market dynamics</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мусин</surname><given-names>А. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Musin</surname><given-names>Artur R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Артур Рустамович Мусин</p></bio><email xlink:type="simple">amusin@nes.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский финансово-промышленный университет «СИНЕРГИЯ», Москва</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow University for Industry and  Finance «SYNERGY»</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2018</year></pub-date><pub-date pub-type="epub"><day>04</day><month>09</month><year>2018</year></pub-date><volume>15</volume><issue>4</issue><fpage>61</fpage><lpage>69</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мусин А.Р., 2018</copyright-statement><copyright-year>2018</copyright-year><copyright-holder xml:lang="ru">Мусин А.Р.</copyright-holder><copyright-holder xml:lang="en">Musin A.R.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://statecon.rea.ru/jour/article/view/1296">https://statecon.rea.ru/jour/article/view/1296</self-uri><abstract><sec><title>Цель исследования</title><p>Цель исследования. Существующие подходы к прогнозированию динамики финансовых рынков, как правило, сводятся к использованию аппарата эконометрического исчисления или наработкам технического анализа, что, в свою очередь, является следствием предпочтения данных подходов в среде специалистов, занимающихся теоретическими исследованиями, и профессиональных участников рынка соответственно. Целью исследования является разработка  прогнозной  экономико-математической модели, позволяющей совмещать в себе оба подхода. Другими словами, данная модель должна являться оцениваемой с помощью традиционных методов эконометрики и при этом учитывать воздействие на процесс ценообразования эффекта от кластеризации участников  по поведенческим закономерностям, как основы технического анализа. Помимо этого является необходимым, чтобы создаваемая экономико-математическая модель учитывала явление существования исторических торговых уровней и контролировала оказываемое ими влияние на динамику цены, при ее нахождении в локальных областях данных уровней. Подобный анализ закономерностей поведения цены в окрестностях исторических повторяющихся уровней является популярным подходом в среде профессиональных участников рынка. Также немаловажным критерием потенциальной применимости разрабатываемой модели широким кругом заинтересованных специалистов, является простота ее общей функциональной формы и, в частности, конкретных используемых компонент.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. В проведенном исследовании в качестве рассматриваемого финансового ряда, в целях его прогнозирования, был выбран рынок обменного курса фунта стерлингов к доллару США (GBPUSD) за период всего 2017 года. Представленная экономико-математическая модель была оценена с помощью классического фильтра Калмана со встроенной нейронной сетью. Выбор данных инструментов оценивания объясняется их широкими возможностями при работе с нестационарными зашумленными временными рядами финансового рынка. Также использование фильтра Калмана является популярным при оценке моделей локального уровня, принцип которых был реализован в новой предложенной в работе модели.</p></sec><sec><title>Результаты</title><p>Результаты. С помощью выбранного подхода по одновременному использованию калмановской фильтрации и искусственной нейронной сети была получена статистически значимая оценка всех коэффициентов модели. Последующее ее применение на данных ряда GBPUSD из тестового множества позволило продемонстрировать ее высокие прогнозные способности по сравнению с дополнительно рассмотренной моделью случайного блуждания, в особенности с точки зрения процента верных направлений прогноза. Полученные результаты свидетельствуют о том, что построенная модель позволяет эффективно учитывать структурные особенности рассматриваемого рынка и строить неплохие прогнозы будущего движения цены.</p></sec><sec><title>Заключение</title><p>Заключение. Проведенное исследование направлено на развитие и совершенствование аппарата прогнозирования движения цен на финансовых рынках. В свою очередь, представленная в работе экономико-математическая модель может быть использована как специалистами при проведении теоретических исследований процесса ценообразования на финансовых рынках, так и профессиональными участниками рынка для прогнозирования направления будущего движения цен. Высокий процент правильных направлений прогноза позволяет использовать предложенную модель как самостоятельно, так и в рамках подтверждающего инструмента.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Study purpose</title><p>Study purpose. Existing approaches to forecasting dynamics of financial markets, as a rule, reduce to econometric calculations or technical analysis techniques, which in turn is a consequence of preferences among specialists, engaged in theoretical research and professional market participants, respectively. The main study purpose is developing a predictive economic-mathematical model that allows combining both approaches. In other words, this model should be estimated using traditional methods of econometrics and, at the same time, take into account the impact on the pricing process of the effect of clustering participants on behavioral patterns, as the basis of technical analysis. In addition, it is necessary that the created economic-mathematical model should take into account the phenomenon of existing historical trading levels and control the influence they exert on price dynamics, when it falls into local areas of these levels. Such analysis of price behavior patterns in certain areas of historical repeating levels is a popular approach among professional market participants. Besides, an important criterion of developing model’s potential applicability by a wide range of the interested specialists is its general functional form’s simplicity and, in particular, its components.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. In the study, the market of the pound sterling exchange rate against the US dollar (GBP/USD) for the whole period of 2017 was chosen as the considered financial series, in order to forecast it. The presented economic-mathematical model was estimated by classical Kalman filter with an embedded neural network. The choice of these assessment tools can be explained by their wide capabilities in dealing with non-stationary, noisy financial market time series. In addition, applying Kalman filter is a popular technique for estimation local-level models, which principle was implemented in the newly model, proposed in article.</p></sec><sec><title>Results</title><p>Results. Using chosen approach of simultaneous applying Kalman filter and artificial neural network, there were obtained statistically significant estimations of all model’s coefficients. The subsequent model application on GBP/USD series from the test dataset allowed demonstrating its high predictive ability comparing with added random walk model, in particular judging by percentage of correct forecast directions. All received results have confirmed that constructed model allows effectively taking into account structural features of considered market and building good forecasts of future price dynamics.</p></sec><sec><title>Conclusion</title><p>Conclusion. The study was focused on developing and improving apparatus of forecasting financial market prices dynamics. In turn, economic-mathematical model presented in that paper can be used both by specialists, carrying out theoretical studies of pricing process in financial markets, and by professional market participants, forecasting the direction of future price movements. High percentage of correct forecast directions makes it possible to use proposed model independently or as a confirmatory tool.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>динамика финансового рынка</kwd><kwd>прогнозирование</kwd><kwd>экономико-математические модели</kwd><kwd>фильтр Калмана</kwd><kwd>нейронные сети</kwd></kwd-group><kwd-group xml:lang="en"><kwd>financial market dynamics</kwd><kwd>forecasting</kwd><kwd>economic-mathematical models</kwd><kwd>Kalman filter</kwd><kwd>neural networks</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Cootner P.H. The Random Character of Stock Market Prices. 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