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<article 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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Economics and Mathematical Methods</journal-id><journal-title-group><journal-title xml:lang="en">Economics and Mathematical Methods</journal-title><trans-title-group xml:lang="ru"><trans-title>Экономика и математические методы</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0424-7388</issn><issn publication-format="electronic">3034-6177</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">684358</article-id><article-id pub-id-type="doi">10.31857/S0424738825020047</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Problems of national economy</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Народнохозяйственные проблемы</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Dynamics of macroeconomic indicators in Russia: Wavelet analysis of unemployment, inflation and interest rates</article-title><trans-title-group xml:lang="ru"><trans-title>Динамика макроэкономических показателей в России: вейвлет-анализ безработицы, инфляции и процентной ставки</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kurilova</surname><given-names>А. А.</given-names></name><name xml:lang="ru"><surname>Курилова</surname><given-names>А. А.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Institute of Finance, Economics and Management</p></bio><bio xml:lang="ru"><p>Институт финансов, экономики и управления</p></bio><email>aakurilova@yandex.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Togliatti State University</institution></aff><aff><institution xml:lang="ru">ФГБОУ ВО Тольяттинский государственный университет</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-07-04" publication-format="electronic"><day>04</day><month>07</month><year>2025</year></pub-date><volume>61</volume><issue>2</issue><issue-title xml:lang="ru"/><fpage>44</fpage><lpage>56</lpage><history><date date-type="received" iso-8601-date="2025-06-14"><day>14</day><month>06</month><year>2025</year></date><date date-type="accepted" iso-8601-date="2025-06-14"><day>14</day><month>06</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Российская академия наук</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0424-7388/article/view/684358">https://journals.eco-vector.com/0424-7388/article/view/684358</self-uri><abstract xml:lang="en"><p>This article proposes a wavelet analysis of the dynamics of three key macroeconomic indicators in the Russian economy: unemployment, inflation and interest rates for the period from 1990 to 2021. The analysis of the dynamics of key macroeconomic indicators in the Russian economy was carried out using wavelet analysis in combination with tests for stationarity of time series, such as the extended Dickey–Fuller test, Phillips–Perron test, Granger test and Quach–Perron test. The analysis shows that in Russia there are no parameters relevant of Phillips curve during the period under review, and the inverse relationship between the inflation rate and the unemployment rate is not confirmed. However, there is a relationship between the interest rate and inflation, as well as between the interest rate and the unemployment rate, although the nature of these relationships varies over different time periods. The study revealed changes in the temporal dynamics of these indicators at different time frequencies (low and high). In particular, a statistically significant relationship between unemployment and inflation was found at low frequencies, where unemployment peaks began to precede inflation peaks from 2009 and onwards. At high frequencies, there is a time shift between the interest rate and inflation after 1998, as well as a negative shift between the interest rate and unemployment during certain time periods. These results help to better understand long-term trends and relationships in the Russian economy, and also have practical implications for the formation of economic policy.</p></abstract><trans-abstract xml:lang="ru"><p>В данной статье проведен вейвлет-анализ динамики трех ключевых макроэкономических показателей в российской экономике: безработицы, инфляции и процентной ставки за период с 1990 по 2021 г. Анализ динамики ключевых макроэкономических показателей в российской экономике был проведен с использованием вейвлет-анализа в сочетании с тестами на стационарность временных рядов — такими, как расширенный тест Дикки–Фуллера, тест Филлипс–Перрона, тест Грейнджера и тест Квача–Перрона. Анализ показывает, что в России отсутствует кривая Филлипса на протяжении рассматриваемого периода и обратная зависимость между уровнем инфляции и уровнем безработицы не подтверждается. Однако существует зависимость между процентной ставкой и инфляцией, а также между процентной ставкой и уровнем безработицы, хотя характер этих зависимостей меняется в разные временные периоды. Исследование выявило изменения во временной динамике этих показателей на различных временных частотах (низких и высоких). В частности, на низких частотах обнаружена статистически значимая взаимосвязь между безработицей и инфляцией, где пики безработицы начали предшествовать пикам инфляции с 2009 г. На высоких частотах наблюдается сдвиг во времени между процентной ставкой и инфляцией после 1998 г., а также отрицательное содвижение между процентной ставкой и безработицей в определенные временные периоды. Эти результаты помогают лучше понять долгосрочные тенденции и взаимосвязи в российской экономике, а также имеют практическое значение для формирования экономической политики.</p></trans-abstract><kwd-group xml:lang="en"><kwd>wavelet analysis</kwd><kwd>modeling</kwd><kwd>unemployment</kwd><kwd>inflation</kwd><kwd>interest rate</kwd><kwd>wavelet transforms</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>вейвлет-анализ</kwd><kwd>моделирование</kwd><kwd>безработица</kwd><kwd>инфляция</kwd><kwd>процентная ставка</kwd><kwd>вейвлет-преобразования</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Аверина Д. С., Горшкова Т. Г., Синельникова-Мурылева Е.В. (2018). 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