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<article xmlns="https://jats.nlm.nih.gov/publishing/1.1/" xmlns:xlink="http://www.w3.org/1999/xlink" xml:lang="ru" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" dtd-version="1.1" specific-use="eps-0.1"><front><journal-meta><journal-id journal-id-type="publisher">SciNotesIBI</journal-id><journal-id journal-id-type="ojs">SciNotesIBI</journal-id><journal-title-group><journal-title xml:lang="ru">Ученые записки Международного банковского института</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the International Banking Institute</trans-title></trans-title-group><abbrev-journal-title xml:lang="en">Proceedings of the International Banking Institute</abbrev-journal-title><abbrev-journal-title xml:lang="ru">Ученые записки Международного банковского института</abbrev-journal-title></journal-title-group><contrib-group/><publisher><publisher-name>Международный банковский институт</publisher-name><publisher-loc><country>RU</country><uri>https://www.ibispb.ru/</uri></publisher-loc></publisher><issn pub-type="ppub">2413-3345</issn><self-uri xlink:href="https://journal.ibispb.ru/index.php/SciNotesIBI"/></journal-meta><article-meta><article-id pub-id-type="publisher-id">316</article-id><article-id pub-id-type="EDN">BWVKVN</article-id><article-categories><subj-group subj-group-type="heading" xml:lang="ru"><subject>Статьи</subject></subj-group></article-categories><title-group><article-title xml:lang="ru">Развитие портфельной теории и финансовые инновации 21 века</article-title><trans-title-group xml:lang="en"><trans-title>The development of portfolio theory and financial innovations of the 21st century</trans-title></trans-title-group></title-group><contrib-group content-type="author"><contrib><name-alternatives><string-name specific-use="display">КОЛЕСНИКОВА А.В.</string-name><name name-style="western" specific-use="primary"><surname>КОЛЕСНИКОВА</surname><given-names>Анастасия Викторовна</given-names></name></name-alternatives><xref ref-type="aff" rid="aff-1"/><bio xml:lang="en"><p><strong>Assistant professor</strong></p>
<p>Department of world economy and management</p>
<p>Autonomous non-profit organization of higher education «International banking Institute named after Anatoliy Sobchak»</p>
<p>191023, Nevsky pr., 60, Saint-Petersburg, Russia</p></bio><bio xml:lang="ru"><p><strong>к.э.н.</strong></p>
<p>Кафедра мировой экономики и менеджмента</p>
<p>Автономная некоммерческая организация высшего образования «Международный банковский институт имени Анатолия Собчака»</p>
<p>191023, Невский пр., 60. Санкт-Петербург, Россия</p></bio></contrib><contrib><name-alternatives><string-name specific-use="display">САМОЙЛОВА Я.В.</string-name><name name-style="western" specific-use="primary"><surname>САМОЙЛОВА</surname><given-names>Яна Владимировна</given-names></name></name-alternatives><bio xml:lang="en"><p><strong>Assistant professor</strong></p>
<p>Department of Banking and innovative financial technologies</p>
<p>Autonomous non-profit organization of higher education «International banking Institute named after Anatoliy Sobchak»</p>
<p>191023, Nevsky pr., 60, Saint-Petersburg, Russia</p></bio><bio xml:lang="ru"><p><strong>к.э.н.</strong></p>
<p>Кафедра банковского бизнеса и инновационных финансовых технологий</p>
<p>Автономная некоммерческая организация высшего образования «Международный банковский институт имени Анатолия Собчака»</p>
<p>191023, Невский пр., 60. Санкт-Петербург, Россия</p></bio></contrib></contrib-group><aff id="aff-1"><institution content-type="orgname">Автономная некоммерческая организация высшего образования «Международный банковский институт имени Анатолия Собчака»</institution></aff><pub-date date-type="collection"><year>2021</year></pub-date><pub-date date-type="pub" publication-format="epub"><day>24</day><month>12</month><year>2021</year></pub-date><issue seq="4">4 (38)</issue><issue-id>18</issue-id><fpage>39</fpage><lpage>52</lpage><pub-history><event event-type="received"><event-desc>Received: <date date-type="received" iso-8601-date="2026-04-10T12:23:11+00:00"><day>10</day><month>4</month><year>2026</year></date></event-desc></event></pub-history><permissions><copyright-statement>Copyright (c) 2021 Ученые записки Международного банковского института</copyright-statement><copyright-year>2021</copyright-year><copyright-holder>Ученые записки Международного банковского института</copyright-holder><license xlink:href="https://creativecommons.org/licenses/by-nc/4.0/"><license-p>&lt;a rel="license" href="https://creativecommons.org/licenses/by-nc/4.0/"&gt;&lt;img alt="Лицензия Creative Commons" src="//i.creativecommons.org/l/by-nc/4.0/88x31.png" /&gt;&lt;/a&gt;&lt;p&gt;Это произведение доступно по &lt;a rel="license" href="https://creativecommons.org/licenses/by-nc/4.0/"&gt;лицензии Creative Commons «Attribution-NonCommercial» («Атрибуция — Некоммерческое использование») 4.0 Всемирная&lt;/a&gt;.&lt;/p&gt;</license-p></license></permissions><self-uri xlink:href="https://journal.ibispb.ru/index.php/SciNotesIBI/article/download/316/315/1106" content-type="application/pdf"/><self-uri xlink:href="https://journal.ibispb.ru/index.php/SciNotesIBI/article/view/316"/><abstract><p>В статье проанализированы базовые подходы к управлению портфельными инвестициями, с точки зрения реализации основных методов риск-менеджмента. Авторы исследуют современные финансовые технологии на предмет возможностей их практического применения для реализации существующих теорий и методологических разработок этой области. В статье изложены подходы к разработке современного инструментария для решения первоочередных проблем управления инвестиционными рисками, а также дополнения классических теорий математическими моделями, дающими возможность их эффективного практического применения.</p></abstract><trans-abstract xml:lang="en"><p>In the article basic approaches to portfolio investment management are analyzed, from the point of view view of implementation of the main methods of risk management. The authors explore modern financial technologies from the point of view of the possibilities of their practical application for the implementation of existing theories and methodological developments in this area. The article outlines approaches to the development of modern tools for solving the priority problems of investment risk management, as well as additions Classic theories with mathematical models that make it possible to apply them effectively.</p></trans-abstract><trans-abstract xml:lang="en&lt;p class=&quot;MsoNormal&quot; style=&quot;text-align: justify; text-indent: 35.45pt; line-height: 120%;&quot;&gt;&lt;span lang=&quot;EN-US&quot; style=&quot;font-size: 12.0pt; mso-bidi-font-size: 14.0pt; line-height: 120%; mso-ansi-language: EN-US;&quot;&gt;In the article basic approaches to portfolio investment management are analyzed, from the point of view view of implementation of the main methods of risk management. The authors explore modern financial technologies from the point of view of the possibilities of their practical application for the implementation of existing theories and methodological developments in this area. The article outlines approaches to the development of modern tools for solving the priority problems of investment risk management, as well as additions Classic theories with mathematical models that make it possible to apply them effectively.&lt;/span&gt;&lt;/p&gt;"/><kwd-group xml:lang="ru"><title>Ключевые слова</title><kwd>Финансовые риски</kwd><kwd>портфельная теория</kwd><kwd>управление рисками</kwd><kwd>диверсификация</kwd><kwd>финансовая модель</kwd><kwd>управление портфелем</kwd></kwd-group><kwd-group xml:lang="en"><title>Keywords</title><kwd>Financial risks</kwd><kwd>portfoliotheory</kwd><kwd>risk management</kwd><kwd>diversification</kwd><kwd>financial model</kwd><kwd>portfolio management</kwd></kwd-group><funding-group><award-group><funding-source xml:lang="en">This research received no external funding.</funding-source></award-group><award-group><funding-source xml:lang="ru">Настоящее исследование не получило внешнего финансирования.</funding-source></award-group></funding-group><counts><page-count count="14"/></counts><custom-meta-group><custom-meta><meta-name>issue-cover</meta-name><meta-value><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="https://journal.ibispb.ru/public/journals/1/cover_issue_18_ru.jpg"/></meta-value></custom-meta></custom-meta-group><custom-meta-group><custom-meta><meta-name>production-ready-file-url</meta-name><meta-value><ext-link ext-link-type="uri" xlink:href="https://journal.ibispb.ru/index.php/SciNotesIBI/jatsTemplate/download?submissionFileId=1105&amp;fileId=628&amp;submissionId=316&amp;stageId=5"/></meta-value></custom-meta></custom-meta-group></article-meta></front><body/><back><ref-list><ref id="R1"><mixed-citation xml:lang="ru_RU">Markowits Н. 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