<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">turan</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник университета «Туран»</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of "Turan" University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1562-2959</issn><issn pub-type="epub">2959-1236</issn><publisher><publisher-name>Университет «Туран»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.46914/1562-2959-2023-1-3-141-152</article-id><article-id custom-type="elpub" pub-id-type="custom">turan-3546</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>ЭКОНОМИКА: ИСТОРИЯ, ТЕОРИЯ, ПРАКТИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ECONOMY: HISTORY, THEORY, PRACTICE</subject></subj-group></article-categories><title-group><article-title>Применение методов описательной статистики к казахстанскому фондовому рынку</article-title><trans-title-group xml:lang="en"><trans-title>Application of descriptive statistics methods to Kazakhstan stock market</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0795-0095</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мауленов</surname><given-names>А. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Maulenov</surname><given-names>A. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>PhD, ассистент-профессор.</p><p>Алматы</p></bio><bio xml:lang="en"><p>PhD, assistant professor.</p><p>Almaty</p></bio><email xlink:type="simple">askar.maulenov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Международный университет информационных технологий<country>Казахстан</country></aff><aff xml:lang="en">International University of Information Technology<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>04</day><month>10</month><year>2023</year></pub-date><volume>0</volume><issue>3</issue><fpage>141</fpage><lpage>152</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Мауленов А.О., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Мауленов А.О.</copyright-holder><copyright-holder xml:lang="en">Maulenov A.O.</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://vestnik.turan-edu.kz/jour/article/view/3546">https://vestnik.turan-edu.kz/jour/article/view/3546</self-uri><abstract><p>В статье рассматриваются методы описательной статистики и их применение для наиболее ликвидных акций казахстанского фондового рынка KASE (торговые коды: HSBK, KZTK, CCBN, KZTO, KCEL, KEGC, KZKAK) с 2007 по 2022 гг. Рассчитываются показатели описательной статистики по каждой акции, такие как средняя доходность, дисперсия, размах выборки, стандартное отклонение, коэффициент вариации, эксцесс и асимметричность. Оценены коэффициенты уравнения регрессии и коэффициент детерминации R2, показывающие взаимосвязь между доходностью рынка и доходностью отдельной акции. Проведен сравнительный анализ индексного роста акций с 2013 по 2022 гг. Построена гистограмма частотного распределения доходностей рынка KASE на основе годовых и ежемесячных периодов и ее эмпирическая функция распределения. Проверена гипотеза о нормальном распределении доходности согласно критерию Пирсона. Распределения доходностей по многим акциям не полностью соответствуют нормальному распределению и имеют положительную асимметрию, т.е. имеют длинный хвост с правой стороны. Построена рыночная кривая, характеризующая зависимость доходностей акций от уровня риска. Согласно данной кривой установлено, что акции HSBK являются наиболее рискованными из всех рассматриваемых акций, недооцененными и привлекательными инвестициями для инвесторов, применяющих агрессивную стратегию инвестирования. Акции KEGC являются менее рискованными и весьма привлекательными инвестициями для инвесторов, применяющих более консервативную стратегию инвестирования на казахстанском фондовом рынке.</p></abstract><trans-abstract xml:lang="en"><p>The article discusses the methods of descriptive statistics and its application for the most liquid shares of the Kazakhstan stock market KASE (trading codes: HSBK, KZTK, CCBN, KZTO, KCEL, KEGC, KZKAK) from 2007 to 2022. Descriptive statistics are calculated for each stock, such as average return, variance, sample range, standard deviation, coefficient of variation, kurtosis, and skewness. The coefficients of the regression equation and the coefficient of determination R2 are estimated, which show the relationship between the market return and the return on an individual stock. The comparative analysis of index growth of stocks was carried out from 2013 to 2022. The histogram of the frequency distribution of KASE market returns based on annual and monthly periods and its empirical distribution function have been constructed. The hypothesis about the normal distribution of returns according to the Pearson criterion was tested. The distributions of returns for many stocks do not fully correspond to the normal distribution and have a positive skewness, i.e. have a long tail on the right side. The market curve has been constructed that characterizes the dependence of stock returns on the level of risk. According to this curve, it is established that HSBK stocks are the most risky of all the considered stocks, undervalued and attractive investments for investors using an aggressive investment strategy. KEGC stocks are less risky and very attractive investments for investors who use a more conservative investment strategy in the Kazakhstani stock market.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>ожидаемая доходность</kwd><kwd>стандартное отклонение</kwd><kwd>коэффициент вариации</kwd><kwd>коэффициент «бета»</kwd><kwd>эксцесс</kwd><kwd>асимметричность</kwd><kwd>рыночный портфель</kwd></kwd-group><kwd-group xml:lang="en"><kwd>expected return</kwd><kwd>standard deviation</kwd><kwd>coefficient of variation</kwd><kwd>coefficient of beta</kwd><kwd>kurtosis</kwd><kwd>skewness</kwd><kwd>market portfolio</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">Ibbotson R.G., Harrington J.P. Stocks, Bonds, Bills and Inflation. 2021 Yearbook. 198 p. URL:https://www.cfainstitute.org/en/research/foundation/2021/sbbi-2021-summary-edition</mixed-citation><mixed-citation xml:lang="en">Ibbotson R.G., Harrington J.P. (2021) Stocks, Bonds, Bills and Inflation. Yearbook. 198 p. URL:https://www.cfainstitute.org/en/research/foundation/2021/sbbi-2021-summary-edition. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Пресс-релиз KASE по итогам 2020, 2021 и 2022 годов. URL: https://kase.kz/ru/press_releases/</mixed-citation><mixed-citation xml:lang="en">Press-reliz KASE po itogam 2020, 2021 i 2022 godov. URL: https://kase.kz/ru/press_releases/. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Шарп У., Александер Г., Бэйли Дж. Инвестиции. – М.: ИНФРА-М, 2006. – XII, 1028 c.</mixed-citation><mixed-citation xml:lang="en">Sharp U., Aleksander G., Bjejli Dzh. (2006) Investicii. M.: INFRA-M, XII, 1028 p. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Ван Хорн Д.К., Вахович Д.М. Основы финансового менеджмента. 12-е издание. – М.: ООО «И.Д. Вильямс», 2008. – 1232 с.</mixed-citation><mixed-citation xml:lang="en">Van Horn D.K., Vahovich D.M. (2008) Osnovy finansovogo menedzhmenta. 12-e izdanie. M.: OOO «I.D. Vil'jams», 1232 p. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Pearson K. Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1895. Vol. 186. P. 343–414.</mixed-citation><mixed-citation xml:lang="en">Pearson K. Contributions to the Mathematical Theory of Evolution. II. Skew Variation in Homogeneous Material // Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 1895. Vol. 186. P. 343–414. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Damodaran A. Historical Returns on Stocks, Bonds and Bills: 1928–2022. URL: https://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html</mixed-citation><mixed-citation xml:lang="en">Damodaran A. Historical Returns on Stocks, Bonds and Bills: 1928–2022. URL: https://pages.stern.nyu.edu/~adamodar/New_Home_Page/datafile/histretSP.html. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Ibbotson R.G., Sinquefield R.A. Stocks, Bonds, Bills, and Inflation: The Past and the Future. Charlottesville, VA: Financial Analyst Research Foundation. 1983. 137 p.</mixed-citation><mixed-citation xml:lang="en">Ibbotson R.G., Sinquefield R.A. (1983) Stocks, Bonds, Bills, and Inflation: The Past and the Future. Charlottesville, VA: Financial Analyst Research Foundation. 137 p. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Wilson J.W., Jones C.P. A Comparison of annual Common Stcok Returns: 1871–1925 and 1926–1985 // Journal of Business, 60. 1987, no. 2, pp. 239–258.</mixed-citation><mixed-citation xml:lang="en">Wilson J.W., Jones C.P. (1987) A Comparison of annual Common Stcok Returns: 1871–1925 and 1926–1985 // Journal of Business, 60, no. 2, pp. 239–258. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Siegel J.J. The Equity Premium: Stock and Bond Returns Since 1802 // Financial Analyst Journal, 48. 1992, no. 1, pp. 28–38.</mixed-citation><mixed-citation xml:lang="en">Siegel J.J. (1992) The Equity Premium: Stock and Bond Returns Since 1802 // Financial Analyst Journal, 48, no. 1, pp. 28–38. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Schwert G.W. Why Does Stcok Market Volatility Change Over Time? // Journal of Finance, 44. 1989, no. 5, pp. 1115–1153.</mixed-citation><mixed-citation xml:lang="en">Schwert G.W. (1989) Why Does Stcok Market Volatility Change Over Time? // Journal of Finance, 44. no. 5, pp. 1115–1153. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Ширяев А.Н. Основы стохастической финансовой математики. Том 1. Факты. Модели. – Москва: ФАЗИС, 1998. – 512 с.</mixed-citation><mixed-citation xml:lang="en">Shirjaev A.N. Osnovy stohasticheskoj finansovoj matematiki. Tom 1. Fakty. Modeli. Moskva: FAZIS, 1998. 512 p. (In Russian).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Azimli A. Degree and structure of return dependence among commodities, energy stocks and international equity markets during the post-COVID-19 period // The International Journal of Minerals Policy and Economics. 21 March 2022. URL: https://doi.org/10.1016/j.resourpol.2022.102679</mixed-citation><mixed-citation xml:lang="en">Azimli A. Degree and structure of return dependence among commodities, energy stocks and international equity markets during the post-COVID-19 period // The International Journal of Minerals Policy and Economics. 21 March 2022. URL: https://doi.org/10.1016/j.resourpol.2022.102679. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Wolski R. Risk and return in the real estate, bond and stock markets // Conference: 24th Annual European Real Estate Society. January 2017. URL: https://doi.org/10.1016/j.frl.2021.102524</mixed-citation><mixed-citation xml:lang="en">Wolski R. Risk and return in the real estate, bond and stock markets // Conference: 24th Annual European Real Estate Society. January 2017. URL: https://doi.org/10.1016/j.frl.2021.102524. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Patjoshi P. Comparative Risk Return Analysis of Bombay Stock Market with Selected Banking Stocks in India // IRA-International Journal of Management &amp; Social Sciences. 2016, no. 4(1). ISSN 2455-2267 URL: http://dx.doi.org/10.21013/jmss.v4.n1.p18</mixed-citation><mixed-citation xml:lang="en">Patjoshi P. Comparative Risk Return Analysis of Bombay Stock Market with Selected Banking Stocks in India // IRA-International Journal of Management &amp; Social Sciences. 2016, no. 4(1). ISSN 2455-2267 URL: http://dx.doi.org/10.21013/jmss.v4.n1.p18. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Hull J.C. Options, futures, and other derivatives / Prentice Hall; 8th ed. Edition. 2011. 841 p.</mixed-citation><mixed-citation xml:lang="en">Hull J.C. (2011) Options, futures, and other derivatives / Prentice Hall; 8th ed. Edition. 841 p. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Defusco R.A., McLeavey D.W., Pinto J.E., Runkle D.E. Ethical and Professional Standards and Quantitative Methods CFA PROGRAM CURRICULUM // Statistical concepts and market returns, CFA Institute. 2011. Vol. 1. Reading 7.</mixed-citation><mixed-citation xml:lang="en">Defusco R.A., McLeavey D.W., Pinto J.E., Runkle D.E. (2011) Ethical and Professional Standards and Quantitative Methods CFA PROGRAM CURRICULUM // Statistical concepts and market returns, CFA Institute. Vol. 1. Reading 7. (In English).</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Электронная торговая площадка «Bloomberg terminal», раздел Security, подраздел KZ Equity. URL: https://www.bloomberg.com/markets/stocks</mixed-citation><mixed-citation xml:lang="en">Jelektronnaja torgovaja ploshhadka «Bloomberg terminal», razdel Security, podrazdel KZ Equity. URL: https://www.bloomberg.com/markets/stocks. (In Russian).</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
