<?xml version="1.0" encoding="UTF-8"?>
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" dtd-version="1.4" article-type="research-article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="issn">2411-3336</journal-id>
      <journal-id journal-id-type="eissn">2541-9404</journal-id>
      <journal-title-group>
        <journal-title xml:lang="ru">Записки Горного института</journal-title>
        <journal-title xml:lang="en">Journal of Mining Institute</journal-title>
      </journal-title-group>
      <publisher>
        <publisher-name xml:lang="ru">Санкт-Петербургский горный университет императрицы Екатерины ΙΙ</publisher-name>
        <publisher-name xml:lang="en">Empress Catherine II Saint Petersburg Mining University</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id custom-type="pmi" pub-id-type="custom">pmi-8033</article-id>
      <article-id pub-id-type="uri">https://pmi.spmi.ru/pmi/article/view/8033</article-id>
      <article-categories>
        <subj-group subj-group-type="section-heading" xml:lang="ru">
          <subject>Экономика и менеджмент</subject>
        </subj-group>
        <subj-group subj-group-type="section-heading" xml:lang="en">
          <subject>Economics and management</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title xml:lang="en">The modification of Markowitz portfolios made for stocks from the warsaw stock exchange</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name name-style="eastern">
            <surname>T. Sawik</surname>
            <given-names>Bartosz </given-names>
          </name>
          <name-alternatives>
            <name name-style="eastern" xml:lang="ru">
              <surname>T. Sawik</surname>
              <given-names>Bartosz </given-names>
            </name>
            <name name-style="western" xml:lang="en">
              <surname>T. Sawik</surname>
              <given-names>Bartosz </given-names>
            </name>
          </name-alternatives>
          <email>pmi@spmi.ru</email>
          <xref ref-type="aff" rid="aff1"/>
        </contrib>
        <aff-alternatives id="aff1">
          <aff>
            <institution xml:lang="ru">Университет науки и технологии (Краков, Польша)</institution>
          </aff>
          <aff>
            <institution xml:lang="en">University of Science and Technology (Krakow, Poland)</institution>
          </aff>
        </aff-alternatives>
      </contrib-group>
      <pub-date pub-type="epub" iso-8601-date="2006-04-07">
        <day>07</day>
        <month>04</month>
        <year>2006</year>
      </pub-date>
      <pub-date date-type="collection">
        <year>2006</year>
      </pub-date>
      <volume>167</volume>
      <issue>2</issue>
      <fpage>306</fpage>
      <lpage>308</lpage>
      <history>
        <date date-type="received" iso-8601-date="2005-07-29">
          <day>29</day>
          <month>07</month>
          <year>2005</year>
        </date>
        <date date-type="accepted" iso-8601-date="2005-08-20">
          <day>20</day>
          <month>08</month>
          <year>2005</year>
        </date>
        <date date-type="rev-recd" iso-8601-date="2006-04-07">
          <day>07</day>
          <month>04</month>
          <year>2006</year>
        </date>
      </history>
      <permissions>
        <copyright-statement>© Bartosz  T. Sawik</copyright-statement>
        <copyright-year>2006</copyright-year>
        <copyright-holder xml:lang="ru">Bartosz  T. Sawik</copyright-holder>
        <copyright-holder xml:lang="en">Bartosz  T. Sawik</copyright-holder>
        <license xlink:href="http://creativecommons.org/licenses/by/4.0">
          <license-p>CC BY 4.0</license-p>
        </license>
      </permissions>
      <self-uri xlink:type="simple" xlink:href="https://pmi.spmi.ru/pmi/article/view/8033">https://pmi.spmi.ru/pmi/article/view/8033</self-uri>
      <abstract xml:lang="ru">
        <p>Рассматривается метод расчета альтернативных ограничений для модели Марковича. Три измененных и одна стандартная модели Марковича дают четыре структуры пакета ценных бумаг с разными коэффициентами предотвращения крайнего риска. Структура инвестиций каждого из пакетов ценных бумаг зависит от коэффициента предотвращения крайнего риска, параметров вспомогательных функций для выбранных инвестиций и соотношения акций пакета и акций на фондовом рынке в выбранные периоды и для определенного числа акций. Источником данных для анализа послужили Варшавская фондовая биржа и период планирования с декабря 2000 по декабрь 2004 г.</p>
      </abstract>
      <abstract xml:lang="en">
        <p>This paper presents a method for constructing alternative constraints for the Markowitz model. Three models with modification and one standard Markowitz problem give four structures of stock portfolios with different coefficients of extreme risk aversion. The structure of the investment space of each portfolio depends on the coefficient of extreme risk aversion, the shape of the utility function for the selected investment, the ratio of stocks in the portfolio to stocks on the exchange during the selected periods, and the number of stocks. The date sets for the analysis are taken from the WSJ and refer to a planning horizon of 49 months: December 2000 to December 2004.</p>
      </abstract>
    </article-meta>
  </front>
  <body/>
  <back>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <mixed-citation xml:lang="ru">SAWIK B., 2004, The Calculation of utility and risk aversion for investment portfolios of the Warsaw Stock Exchange, Kraków, UWND-AGH, ISBN 83-89388-63-4.</mixed-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <mixed-citation xml:lang="ru">SAWIK B., 2003, New approach to investment portfolios, Kraków, STN, ISBN 83-918282-1-7.</mixed-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <mixed-citation xml:lang="ru">SAWIK B., 2001, Risk aversion control in investment portfolios, WZ-AGH, Kraków, ISBN 83-914035-8-0.</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
