{"id":302700,"date":"2025-07-12T16:55:31","date_gmt":"2025-07-12T16:55:31","guid":{"rendered":"https:\/\/pocketoption.com\/blog\/news-events\/data\/what-is-stock-2\/"},"modified":"2025-07-12T16:55:31","modified_gmt":"2025-07-12T16:55:31","slug":"what-is-stock","status":"publish","type":"post","link":"https:\/\/pocketoption.com\/blog\/tr\/knowledge-base\/learning\/what-is-stock\/","title":{"rendered":"Hisse Senetleri Nedir: Verilere Dayal\u0131 Matematiksel Analiz ve Etkili Yat\u0131r\u0131m Stratejileri"},"content":{"rendered":"<div id=\"root\"><div id=\"wrap-img-root\"><\/div><\/div>","protected":false},"excerpt":{"rendered":"","protected":false},"author":50,"featured_media":213940,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[17],"tags":[47,46,28],"class_list":["post-302700","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-learning","tag-beginner","tag-how","tag-investment"],"acf":{"h1":"Pocket Option: Hisse Senetleri Nedir ve Yat\u0131r\u0131ma Modern Matematiksel Yakla\u015f\u0131m","h1_source":{"label":"H1","type":"text","formatted_value":"Pocket Option: Hisse Senetleri Nedir ve Yat\u0131r\u0131ma Modern Matematiksel Yakla\u015f\u0131m"},"description":"Hisse senetleri nedir? Piyasa dalgalanmalar\u0131ndan \u00f6nce optimal karlar sa\u011flayan derinlemesine matematiksel analiz ve hisse senedi yat\u0131r\u0131m stratejilerini Pocket Option ile ke\u015ffedin.","description_source":{"label":"Description","type":"textarea","formatted_value":"Hisse senetleri nedir? Piyasa dalgalanmalar\u0131ndan \u00f6nce optimal karlar sa\u011flayan derinlemesine matematiksel analiz ve hisse senedi yat\u0131r\u0131m stratejilerini Pocket Option ile ke\u015ffedin."},"intro":"Stoklar\u0131n matematiksel bir perspektiften anla\u015f\u0131lmas\u0131, yaln\u0131zca bilin\u00e7li yat\u0131r\u0131m kararlar\u0131 alman\u0131za yard\u0131mc\u0131 olmakla kalmaz, ayn\u0131 zamanda piyasada rekabet avantaj\u0131 da sa\u011flar. Ara\u015ft\u0131rmalar, ba\u015far\u0131l\u0131 yat\u0131r\u0131mc\u0131lar\u0131n %87'sinin stratejilerinde nicel modeller uygulad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir. Bu makale, de\u011ferleme modellerinden portf\u00f6y optimizasyon y\u00f6ntemlerine kadar pratik matematiksel analiz ara\u00e7lar\u0131yla, belirli hesaplama \u00f6rnekleri e\u015fli\u011finde sizi donatacakt\u0131r.","intro_source":{"label":"Intro","type":"text","formatted_value":"Stoklar\u0131n matematiksel bir perspektiften anla\u015f\u0131lmas\u0131, yaln\u0131zca bilin\u00e7li yat\u0131r\u0131m kararlar\u0131 alman\u0131za yard\u0131mc\u0131 olmakla kalmaz, ayn\u0131 zamanda piyasada rekabet avantaj\u0131 da sa\u011flar. Ara\u015ft\u0131rmalar, ba\u015far\u0131l\u0131 yat\u0131r\u0131mc\u0131lar\u0131n %87'sinin stratejilerinde nicel modeller uygulad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir. Bu makale, de\u011ferleme modellerinden portf\u00f6y optimizasyon y\u00f6ntemlerine kadar pratik matematiksel analiz ara\u00e7lar\u0131yla, belirli hesaplama \u00f6rnekleri e\u015fli\u011finde sizi donatacakt\u0131r."},"body_html":"<div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Hisse Senetleri Nedir: Matematiksel ve Finansal Perspektiften Tan\u0131m<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Matematiksel ve finansal perspektiften hisse senetleri nedir? Bunlar, bir \u015firketin varl\u0131klar\u0131n\u0131n ve gelirlerinin bir k\u0131sm\u0131na sahip olundu\u011funu g\u00f6steren, defter de\u011feri, piyasa fiyat\u0131 ve F\/K oran\u0131 gibi nicel de\u011ferlerle temsil edilen m\u00fclkiyet sertifikalar\u0131d\u0131r. Her hisse, m\u00fclkiyetin bir birimini temsil eder ve yat\u0131r\u0131mc\u0131lara sahip olduklar\u0131 hisselere g\u00f6re \u015firketin k\u00e2rlar\u0131na kat\u0131lma imkan\u0131 tan\u0131r.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Matematiksel olarak, bir hissenin de\u011feri, \u015firketin operasyonel performans\u0131yla ilgili nicel de\u011fi\u015fkenler taraf\u0131ndan belirlenir. \u00d6rne\u011fin, ABC \u015firketi 100 milyar VND k\u00e2r elde etmi\u015f ve 10 milyon tedav\u00fcldeki hisseye sahipse, hisse ba\u015f\u0131na kazan\u00e7 (EPS) 10,000 VND olacakt\u0131r (100,000,000,000 \u00f7 10,000,000).<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Temel Bile\u015fen<\/th><th>Matematiksel Temsil<\/th><th>Hesaplama \u00d6rne\u011fi<\/th><th>Analizdeki \u00d6nemi<\/th><\/tr><\/thead><tbody><tr><td>Defter De\u011feri (BV)<\/td><td>BV = (Varl\u0131klar - Y\u00fck\u00fcml\u00fcl\u00fckler) \/ Hisse say\u0131s\u0131<\/td><td>BV = (1,000 - 400) \/ 10 = 60 VND<\/td><td>Hisse ba\u015f\u0131na net varl\u0131k de\u011feri<\/td><\/tr><tr><td>Hisse Ba\u015f\u0131na Kazan\u00e7 (EPS)<\/td><td>EPS = Net K\u00e2r \/ Hisse say\u0131s\u0131<\/td><td>EPS = 100 \/ 10 = 10 VND<\/td><td>Hisse ba\u015f\u0131na k\u00e2rl\u0131l\u0131k<\/td><\/tr><tr><td>F\/K Oran\u0131<\/td><td>F\/K = Hisse Fiyat\u0131 \/ EPS<\/td><td>F\/K = 150 \/ 10 = 15 kat<\/td><td>Yat\u0131r\u0131m\u0131n geri kazan\u0131lmas\u0131 i\u00e7in gereken y\u0131l say\u0131s\u0131<\/td><\/tr><tr><td>Temett\u00fc Verimi<\/td><td>Temett\u00fc Verimi = (Temett\u00fc \/ Fiyat) \u00d7 100%<\/td><td>Verim = (5 \/ 150) \u00d7 100% = 3.33%<\/td><td>Temett\u00fclerden y\u0131ll\u0131k getiri<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option'da, hisse senetlerini sadece menkul k\u0131ymetler olarak de\u011fil, \u00e7\u00f6z\u00fcmlenmesi gereken matematiksel denklemler olarak g\u00f6r\u00fcyoruz. Bu denklemdeki her de\u011fi\u015fken - gelir art\u0131\u015f\u0131, k\u00e2r marjlar\u0131, varl\u0131k kullan\u0131m verimlili\u011fi - ger\u00e7ek de\u011feri bulmak i\u00e7in modellenebilir. \u00d6rne\u011fin, 5 y\u0131l \u00fcst \u00fcste %15 gelir art\u0131\u015f\u0131 g\u00f6steren bir i\u015fletme, be\u015finci y\u0131l gelirini FV = PV \u00d7 (1 + 0.15)^5 = PV \u00d7 2.01 form\u00fcl\u00fc ile hesaplayabilir, bu da gelirin iki kat\u0131na \u00e7\u0131kaca\u011f\u0131n\u0131 g\u00f6sterir.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Hisse De\u011ferleme Denklemleri ve Pratik Matematiksel Modeller<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerinin ne oldu\u011funu nicel bir yakla\u015f\u0131mla incelerken, \u0130ndirgenmi\u015f Nakit Ak\u0131\u015f\u0131 (DCF) modeli \u00f6nemli bir matematiksel ara\u00e7 haline gelir. DCF'nin g\u00fcc\u00fc, bir \u015firketin gelecekteki finansal potansiyelini zaman fakt\u00f6rlerini ve riski dikkate alarak bug\u00fcnk\u00fc de\u011fere d\u00f6n\u00fc\u015ft\u00fcrme yetene\u011fidir.<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>De\u011ferleme Modeli<\/th><th>Form\u00fcl<\/th><th>Hesaplama \u00d6rne\u011fi<\/th><\/tr><\/thead><tbody><tr><td>DCF Modeli<\/td><td>P = \u03a3[CF\u208d\u209c\u208e\/(1+r)\u1d57]<\/td><td>CF\u2081 = 10, CF\u2082 = 12, CF\u2083 = 15, r = %10:P = 10\/1.1 + 12\/1.21 + 15\/1.331 = 9.09 + 9.92 + 11.27 = 30.28<\/td><\/tr><tr><td>Gordon B\u00fcy\u00fcme Modeli<\/td><td>P = D\u2081\/(r-g)<\/td><td>D\u2081 = 5, r = %12, g = %4:P = 5\/(0.12-0.04) = 5\/0.08 = 62.5<\/td><\/tr><tr><td>\u0130ki A\u015famal\u0131 Model<\/td><td>P = \u03a3[D\u208d\u209c\u208e\/(1+r)\u1d57] + [D\u208d\u2099\u208e\u00d7(1+g)]\/(r-g)\u00d7(1+r)^(-n)<\/td><td>5 y\u0131l boyunca y\u00fcksek b\u00fcy\u00fcme (g\u2081=%20), ard\u0131ndan istikrarl\u0131 (g\u2082=%3):P = 57.56 + 185.43 = 242.99<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>DCF'yi pratikte uygulayarak, \u00f6n\u00fcm\u00fczdeki 3 y\u0131l i\u00e7inde 10 milyar, 12 milyar ve 15 milyar VND nakit ak\u0131\u015f\u0131 \u00fcretmesi beklenen bir yaz\u0131l\u0131m \u015firketini ele alal\u0131m. %10'luk bir iskonto oran\u0131 (yat\u0131r\u0131m riskini yans\u0131tan) ile nakit ak\u0131\u015flar\u0131n\u0131n bug\u00fcnk\u00fc de\u011feri:<\/p><\/div><div class='po-container po-container_width_article-sm article-content po-article-page__text'><ul class='po-article-page-list'><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>1. Y\u0131l: 10 milyar \/ (1 + 0.1) = 9.09 milyar<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>2. Y\u0131l: 12 milyar \/ (1 + 0.1)\u00b2 = 9.92 milyar<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>3. Y\u0131l: 15 milyar \/ (1 + 0.1)\u00b3 = 11.27 milyar<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Toplam bug\u00fcnk\u00fc de\u011fer: 30.28 milyar<\/li><\/ul><\/div><div class='po-container po-container_width_article-sm'><h3 class='po-article-page__title'>Beta Katsay\u0131s\u0131 ve Sermaye Varl\u0131k Fiyatland\u0131rma Modeli (CAPM)<\/h3><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Yat\u0131r\u0131mc\u0131lar hisse senetlerinin ne oldu\u011funu risk perspektifinden ara\u015ft\u0131rd\u0131klar\u0131nda, Beta katsay\u0131s\u0131 (\u03b2) \u00f6nemli bir matematiksel ara\u00e7 haline gelir. Beta, bir hissenin piyasaya g\u00f6re oynakl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er ve \u015fu \u015fekilde hesaplan\u0131r:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u03b2 = Cov(R\u208d\u1d62\u208e, R\u208d\u2098\u208e) \/ Var(R\u208d\u2098\u208e)<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: VCB hissesinin piyasa ile kovaryans\u0131 0.0015 ve piyasa varyans\u0131 0.001 ise, VCB'nin Betas\u0131 0.0015\/0.001 = 1.5 olur. Bu, piyasa %1 y\u00fckseldi\u011finde\/d\u00fc\u015ft\u00fc\u011f\u00fcnde, VCB'nin %1.5 y\u00fckselme\/d\u00fc\u015fme e\u011filiminde olaca\u011f\u0131 anlam\u0131na gelir.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Beta, CAPM modelinde beklenen getiri oran\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>E(R\u208d\u1d62\u208e) = R\u208d\u1da0\u208e + \u03b2\u208d\u1d62\u208e[E(R\u208d\u2098\u208e) - R\u208d\u1da0\u208e]<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>VCB'ye uyguland\u0131\u011f\u0131nda, risksiz getiri oran\u0131 %4, beklenen piyasa getirisi %10:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>E(R\u208d\u1d65c\u0299\u208e) = %4 + 1.5 \u00d7 (%10 - %4) = %4 + %9 = %13<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara portf\u00f6ylerindeki her bir hissenin g\u00f6receli risk seviyesini do\u011fru bir \u015fekilde de\u011ferlendirmelerine yard\u0131mc\u0131 olan ger\u00e7ek zamanl\u0131 Beta analiz ara\u00e7lar\u0131 sunar.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Hisse Senetlerini Kimler \u0130hra\u00e7 Eder ve Halka Arz S\u00fcrecinin Nicel Analizi<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerini kimin ihra\u00e7 etti\u011fi sorusu, risk analizinde \u00f6nemli bir rol oynar. Hisse senetleri, anonim \u015firketler taraf\u0131ndan ilk halka arz (IPO) s\u00fcreciyle ihra\u00e7 edilir. Matematiksel a\u00e7\u0131dan, IPO fiyatland\u0131rma s\u00fcreci, en makul fiyat seviyesini belirlemeyi ama\u00e7layan karma\u015f\u0131k bir optimizasyon problemidir.<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>A\u015fama<\/th><th>Fiyatland\u0131rma Form\u00fcl\u00fc<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><\/tr><\/thead><tbody><tr><td>IPO \u00d6ncesi<\/td><td>V = E \u00d7 P\/E\u208dcomp\u208e \u00d7 (1-d)<\/td><td>K\u00e2r\u0131 50 milyar olan teknoloji \u015firketi, sekt\u00f6r F\/K = 20, %30 indirim:V = 50 \u00d7 20 \u00d7 (1-0.3) = 700 milyar<\/td><\/tr><tr><td>IPO Fiyatland\u0131rma<\/td><td>P\u208dipo\u208e = (V\u208d\u015firket\u208e\/N) \u00d7 (1-d\u208dipo\u208e)<\/td><td>\u015eirket de\u011feri 700 milyar, 10 milyon hisse, IPO indirimi %15:P\u208dipo\u208e = (700\/10) \u00d7 (1-0.15) = 70 \u00d7 0.85 = 59,500 VND<\/td><\/tr><tr><td>IPO Sonras\u0131<\/td><td>P\u208dpiyasa\u208e = P\u208dipo\u208e \u00d7 (1+r\u208dpiyasa\u208e)<\/td><td>IPO fiyat\u0131 59,500 VND, piyasa tepkisi +%20:P\u208dpiyasa\u208e = 59,500 \u00d7 1.2 = 71,400 VND<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Tarihsel veri analizi, IPO'lar\u0131n genellikle ihra\u00e7 ba\u015far\u0131s\u0131n\u0131 sa\u011flamak i\u00e7in ger\u00e7ek de\u011ferlerinden %15-20 daha d\u00fc\u015f\u00fck fiyatland\u0131r\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir. \u0130\u015fte ilk g\u00fcn piyasa fiyat\u0131na g\u00f6re IPO indirim oran\u0131n\u0131 hesaplama form\u00fcl\u00fc:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Eksik fiyatland\u0131rma oran\u0131 (%) = [(P\u208dg\u00fcn1\u208e - P\u208dipo\u208e) \/ P\u208dipo\u208e] \u00d7 100%<\/p><\/div><div class='po-container po-container_width_article-sm'><h3 class='po-article-page__title'>\u0130hra\u00e7 Kalitesinin Nicel Analizi<\/h3><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Bir hisse ihra\u00e7\u00e7\u0131s\u0131n\u0131n kalitesini objektif olarak de\u011ferlendirmek i\u00e7in yat\u0131r\u0131mc\u0131lar, birden fazla fakt\u00f6r\u00fc entegre eden nicel bir puanlama modeli kullanabilir:<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Kriter<\/th><th>A\u011f\u0131rl\u0131k<\/th><th>\u00d6l\u00e7ek<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><\/tr><\/thead><tbody><tr><td>3 y\u0131ll\u0131k Gelir Art\u0131\u015f\u0131<\/td><td>%20<\/td><td>1-10<\/td><td>%25 b\u00fcy\u00fcme \u2192 Puan 8 \u00d7 %20 = 1.6<\/td><\/tr><tr><td>\u00d6zsermaye Getirisi (ROE)<\/td><td>%25<\/td><td>1-10<\/td><td>ROE %22 \u2192 Puan 9 \u00d7 %25 = 2.25<\/td><\/tr><tr><td>Y\u00f6netim Kalitesi<\/td><td>%20<\/td><td>1-10<\/td><td>De\u011ferlendirme 7\/10 \u2192 7 \u00d7 %20 = 1.4<\/td><\/tr><tr><td>Rekabet\u00e7i Konum<\/td><td>%20<\/td><td>1-10<\/td><td>Pazar pay\u0131 %35 \u2192 Puan 8 \u00d7 %20 = 1.6<\/td><\/tr><tr><td>IPO \u0130\u015flem Yap\u0131s\u0131<\/td><td>%15<\/td><td>1-10<\/td><td>De\u011ferlendirme 6\/10 \u2192 6 \u00d7 %15 = 0.9<\/td><\/tr><tr><td>Bile\u015fik Puan<\/td><td>%100<\/td><td>1-10<\/td><td>1.6 + 2.25 + 1.4 + 1.6 + 0.9 = 7.75\/10<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>7.75\/10'luk bir bile\u015fik puanla, \u015firket iyi kaliteye sahip olarak de\u011ferlendirilir ve yat\u0131r\u0131m i\u00e7in d\u00fc\u015f\u00fcn\u00fclmeye de\u011ferdir. Bu puanlama modeli, duygusal fakt\u00f6rleri ortadan kald\u0131r\u0131r ve yat\u0131r\u0131m kararlar\u0131 i\u00e7in objektif bir temel olu\u015fturur.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option kullanan yat\u0131r\u0131mc\u0131lar, ara\u015ft\u0131rma s\u00fcresini k\u0131salt\u0131rken y\u00fcksek do\u011frulu\u011fu sa\u011flamak i\u00e7in benzer otomatik de\u011ferlendirme modellerine eri\u015febilirler.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>\u0130statistiksel Matematiksel Perspektiften Menkul K\u0131ymet Hisse Senetleri Nedir<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u0130statistiksel bak\u0131\u015f a\u00e7\u0131s\u0131yla, menkul k\u0131ymet hisse senetleri nedir? Bunlar, belirli matematiksel \u00f6zelliklere sahip finansal zaman serileridir. Hisse senedi fiyatlar\u0131 genellikle belirli olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131 izleyen rastgele s\u00fcre\u00e7lerle tan\u0131mlan\u0131r.<\/p><\/div><div class='po-container po-container_width_article-sm article-content po-article-page__text'><ul class='po-article-page-list'><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Geometrik Brownian Hareketi (GBM): dS = \u03bcSdt + \u03c3SdW, fiyatlar\u0131n rastgele hareketini tan\u0131mlar<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Logaritmik getiriler: r = ln(S\u208d\u209c\u208e\/S\u208d\u209c\u208b\u2081\u208e), genellikle normal da\u011f\u0131l\u0131m\u0131 izler<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Ko\u015fullu varyans (GARCH): tarihsel verilere dayal\u0131 oynakl\u0131k tahmini<\/li><\/ul><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>\u0130statistiksel \u00d6zellik<\/th><th>Form\u00fcl<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><\/tr><\/thead><tbody><tr><td>Beklenen Getiri<\/td><td>E(R) = \u03a3[p\u1d62 \u00d7 R\u1d62]<\/td><td>Senaryolar: %20 Art\u0131\u015f (olas\u0131l\u0131k %30), Stabil (%40), %10 Azal\u0131\u015f (%30)E(R) = 0.3 \u00d7 %20 + 0.4 \u00d7 %0 + 0.3 \u00d7 (-%10) = %6 - %3 = %3<\/td><\/tr><tr><td>Oynakl\u0131k (y\u0131ll\u0131k)<\/td><td>\u03c3\u208dannual\u208e = \u03c3\u208ddaily\u208e \u00d7 \u221a252<\/td><td>G\u00fcnl\u00fck standart sapma %1.2:\u03c3\u208dannual\u208e = %1.2 \u00d7 \u221a252 = %1.2 \u00d7 15.87 = %19.04<\/td><\/tr><tr><td>Korelasyon Katsay\u0131s\u0131<\/td><td>\u03c1 = Cov(R\u2090, R\u1d66) \/ (\u03c3\u2090 \u00d7 \u03c3\u1d66)<\/td><td>Kovaryans 0.0008, \u03c3\u2090 = 0.02, \u03c3\u1d66 = 0.05:\u03c1 = 0.0008 \/ (0.02 \u00d7 0.05) = 0.0008 \/ 0.001 = 0.8<\/td><\/tr><tr><td>Sharpe Oran\u0131<\/td><td>S = (R - R\u1da0) \/ \u03c3<\/td><td>Getiri %15, risksiz oran %5, oynakl\u0131k %20:S = (%15 - %5) \/ %20 = %10 \/ %20 = 0.5<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Ger\u00e7ek bir \u00f6rnek: ABC hissesinin tarihsel veri analizi g\u00fcnl\u00fck oynakl\u0131\u011f\u0131n %1.2 oldu\u011funu g\u00f6steriyorsa, y\u0131ll\u0131k oynakl\u0131k %1.2 \u00d7 \u221a252 = %19.04 olacakt\u0131r (y\u0131lda 252 i\u015flem g\u00fcn\u00fc varsay\u0131larak). Beklenen getiri %15 ve risksiz oran %5 oldu\u011funda, Sharpe oran\u0131 (%15 - %5) \/ %19.04 = 0.52 olur - piyasa ortalamas\u0131na g\u00f6re olduk\u00e7a iyi bir oran.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Menkul k\u0131ymet hisse senetlerinin ne oldu\u011funu istatistiksel bir perspektiften anlamak, yat\u0131r\u0131mc\u0131lar\u0131n olas\u0131l\u0131k ve matematiksel beklentilere dayal\u0131 ticaret stratejileri olu\u015fturmalar\u0131na yard\u0131mc\u0131 olur. Pocket Option, yat\u0131r\u0131mc\u0131lar\u0131n bilimsel temelli kararlar almalar\u0131na yard\u0131mc\u0131 olan geli\u015fmi\u015f olas\u0131l\u0131k analizi ara\u00e7lar\u0131 sunar.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Matematiksel Modellerle Hisse Teknik Analiz Y\u00f6ntemleri<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerinin teknik analizi, esasen finansal zaman serilerinde desen tan\u0131ma problemidir. Teknik g\u00f6stergeler, fiyat verilerini eyleme ge\u00e7irilebilir sinyallere d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in matematiksel form\u00fcller kullan\u0131r.<\/p><\/div><div class='po-container po-container_width_article-sm article-content po-article-page__text'><ul class='po-article-page-list'><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Basit Hareketli Ortalama (SMA): SMA(n) = (P\u2081 + P\u2082 + ... + P\u2099) \/ n<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>G\u00f6receli G\u00fc\u00e7 Endeksi (RSI): RSI = 100 - [100 \/ (1 + RS)], burada RS = Ortalama Kazan\u00e7 \/ Ortalama Kay\u0131p<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Bollinger Bantlar\u0131: BB = SMA(n) \u00b1 k \u00d7 \u03c3(n), genellikle n = 20, k = 2 kullan\u0131l\u0131r<\/li><\/ul><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>G\u00f6stergesi<\/th><th>Form\u00fcl<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><th>Yorumlama<\/th><\/tr><\/thead><tbody><tr><td>MACD<\/td><td>MACD = EMA(12) - EMA(26)Sinyal = MACD'nin EMA(9)<\/td><td>EMA(12) = 104, EMA(26) = 100MACD = 104 - 100 = 4Sinyal = 3Histogram = 4 - 3 = 1<\/td><td>MACD &gt; Sinyal: al\u0131m sinyaliMACD &lt; Sinyal: sat\u0131m sinyali<\/td><\/tr><tr><td>RSI<\/td><td>RSI = 100 - [100 \/ (1 + RS)]<\/td><td>14 g\u00fcnl\u00fck ortalama kazan\u00e7 = %2, 14 g\u00fcnl\u00fck ortalama kay\u0131p = %1RS = %2 \/ %1 = 2RSI = 100 - [100 \/ (1 + 2)] = 100 - 33.33 = 66.67<\/td><td>RSI &gt; 70: a\u015f\u0131r\u0131 al\u0131mRSI &lt; 30: a\u015f\u0131r\u0131 sat\u0131m<\/td><\/tr><tr><td>Fibonacci D\u00fczeltmesi<\/td><td>Seviye = Y\u00fcksek - (Y\u00fcksek - D\u00fc\u015f\u00fck) \u00d7 Oran<\/td><td>Y\u00fcksek = 100, D\u00fc\u015f\u00fck = 8038.2% Seviye: 100 - (100 - 80) \u00d7 0.382 = 100 - 7.64 = 92.3661.8% Seviye: 100 - (100 - 80) \u00d7 0.618 = 100 - 12.36 = 87.64<\/td><td>Potansiyel destek\/diren\u00e7 seviyeleri<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>MACD uygulamas\u0131n\u0131n ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: XYZ hissesinin EMA(12)'si 104, EMA(26)'s\u0131 100 ise, MACD 4 olur. MACD'nin 9 g\u00fcnl\u00fck EMA's\u0131 olan Sinyal hatt\u0131 3'tedir. MACD, Sinyal'in \u00fczerine \u00e7\u0131kt\u0131\u011f\u0131nda (Histogram = 4 - 3 = 1 &gt; 0), bu potansiyel bir al\u0131m sinyalidir. Ortalama i\u015flem hacmine g\u00f6re %50 art\u0131\u015fla birlikte oldu\u011funda, sinyalin g\u00fcvenilirli\u011fi daha da y\u00fcksektir.<\/p><\/div><div class='po-container po-container_width_article-sm'><h3 class='po-article-page__title'>Teknik Analizde Makine \u00d6\u011frenimi Uygulamalar\u0131<\/h3><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Makine \u00f6\u011frenimi algoritmalar\u0131, hisse senetlerinin ne oldu\u011funu incelerken geleneksel teknik analizin yeteneklerini geni\u015fletmi\u015ftir. Bireysel g\u00f6stergelere g\u00fcvenmek yerine, makine \u00f6\u011frenimi modelleri karma\u015f\u0131k desenleri tan\u0131mlamak i\u00e7in d\u00fczinelerce de\u011fi\u015fkeni entegre edebilir.<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Algoritma<\/th><th>\u00c7al\u0131\u015fma Prensibi<\/th><th>\u00d6zel Uygulama<\/th><th>Ortalama Do\u011fruluk<\/th><\/tr><\/thead><tbody><tr><td>Sinir A\u011flar\u0131 (ANN)<\/td><td>y = f(\u03a3(w\u1d62x\u1d62 + b))<\/td><td>20 teknik g\u00f6stergeye dayal\u0131 k\u0131sa vadeli fiyat tahmini<\/td><td>%58-65<\/td><\/tr><tr><td>Rastgele Orman<\/td><td>f = 1\/n \u03a3f\u1d62(x)<\/td><td>Trend s\u0131n\u0131fland\u0131rmas\u0131 (yukar\u0131\/a\u015fa\u011f\u0131\/yatay)<\/td><td>%65-72<\/td><\/tr><tr><td>LSTM<\/td><td>Uzun vadeli \"haf\u0131za\" yetene\u011fine sahip sinir a\u011f\u0131<\/td><td>Karma\u015f\u0131k zaman serisi analizi<\/td><td>%60-68<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option, k\u0131sa vadeli trend tahmininde %65-70 ortalama do\u011frulukla makine \u00f6\u011frenimi ile entegre bir teknik analiz sistemi geli\u015ftirmi\u015ftir. Bu sistem, potansiyel giri\u015f ve \u00e7\u0131k\u0131\u015f noktalar\u0131n\u0131 belirlemek i\u00e7in 42 teknik g\u00f6stergeyi i\u015flem hacmi verileriyle birle\u015ftirir.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: Rastgele orman modelimiz, a\u015f\u0131r\u0131 sat\u0131m b\u00f6lgesinden yukar\u0131 d\u00f6nen RSI, Sinyal hatt\u0131n\u0131n \u00fczerine \u00e7\u0131kan MACD ve 20 g\u00fcnl\u00fck ortalaman\u0131n %30 \u00fczerinde artan hacim kombinasyonunun normal piyasa ko\u015fullar\u0131nda %72 ba\u015far\u0131 oran\u0131yla bir al\u0131m sinyali olu\u015fturdu\u011funu belirlemi\u015ftir.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Matematik Kullanarak Optimal Hisse Portf\u00f6y\u00fc Olu\u015fturma<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerinin ne oldu\u011funu portf\u00f6y y\u00f6netimi perspektifinden daha iyi anlamak i\u00e7in, Harry Markowitz'in Modern Portf\u00f6y Teorisi (MPT) sa\u011flam bir matematiksel temel sa\u011flar. MPT, her risk seviyesinde en y\u00fcksek beklenen getiriyi sa\u011flayan yat\u0131r\u0131m portf\u00f6yleri setleri olan etkin s\u0131n\u0131r portf\u00f6ylerini olu\u015fturmak i\u00e7in optimizasyon kullan\u0131r.<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Bile\u015fen<\/th><th>Form\u00fcl<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><\/tr><\/thead><tbody><tr><td>Beklenen Portf\u00f6y Getirisi<\/td><td>E(Rp) = \u03a3(w\u1d62 \u00d7 E(R\u1d62))<\/td><td>2 hisse portf\u00f6y\u00fc: w\u2081 = %60, E(R\u2081) = %12; w\u2082 = %40, E(R\u2082) = %8E(Rp) = 0.6 \u00d7 %12 + 0.4 \u00d7 %8 = %7.2 + %3.2 = %10.4<\/td><\/tr><tr><td>Portf\u00f6y Riski<\/td><td>\u03c3p\u00b2 = \u03a3i \u03a3j (w\u1d62w\u2c7c\u03c3\u1d62\u2c7c)<\/td><td>\u03c3\u2081 = %20, \u03c3\u2082 = %15, \u03c1\u2081\u2082 = 0.3\u03c3p\u00b2 = (0.6)\u00b2 \u00d7 (%20)\u00b2 + (0.4)\u00b2 \u00d7 (%15)\u00b2 + 2 \u00d7 0.6 \u00d7 0.4 \u00d7 0.3 \u00d7 %20 \u00d7 %15\u03c3p\u00b2 = 0.0144 + 0.0036 + 0.00216 = 0.02016\u03c3p = \u221a0.02016 = %14.2<\/td><\/tr><tr><td>Sharpe Oran\u0131<\/td><td>SR = (Rp - Rf) \/ \u03c3p<\/td><td>Rp = %10.4, Rf = %4, \u03c3p = %14.2SR = (%10.4 - %4) \/ %14.2 = %6.4 \/ %14.2 = 0.45<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Portf\u00f6y optimizasyon problemi Lagrange y\u00f6ntemi kullan\u0131larak \u00e7\u00f6z\u00fclebilir. A (beklenen getiri %12, oynakl\u0131k %20) ve B (beklenen getiri %8, oynakl\u0131k %15) olmak \u00fczere 2 hisseye sahip oldu\u011fumuzu varsayal\u0131m, korelasyon katsay\u0131s\u0131 0.3. Sharpe oran\u0131n\u0131 maksimize etmek i\u00e7in, optimal a\u011f\u0131rl\u0131klar\u0131 \u015fu \u015fekilde buluruz:<\/p><\/div><div class='po-container po-container_width_article-sm article-content po-article-page__text'><ul class='po-article-page-list'><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Optimal a\u011f\u0131rl\u0131klar (w\u2081, w\u2082) = (0.6; 0.4)<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Beklenen portf\u00f6y getirisi = 0.6 \u00d7 %12 + 0.4 \u00d7 %8 = %10.4<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Portf\u00f6y oynakl\u0131\u011f\u0131 = %14.2 (yukar\u0131daki form\u00fcl kullan\u0131larak hesaplanm\u0131\u015ft\u0131r)<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Sharpe oran\u0131 = (%10.4 - %4) \/ %14.2 = 0.45<\/li><\/ul><\/div><div class='po-container po-container_width_article-sm'><h3 class='po-article-page__title'>Nicel \u00c7e\u015fitlendirme Stratejisi<\/h3><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u00c7e\u015fitlendirme, menkul k\u0131ymet hisse senetlerinin ne oldu\u011funu risk y\u00f6netimi perspektifinden ara\u015ft\u0131r\u0131rken temel bir unsurdur. \u00c7e\u015fitlendirme etkinli\u011fi, varl\u0131klar aras\u0131ndaki korelasyona ba\u011fl\u0131d\u0131r ve kesin olarak \u00f6l\u00e7\u00fclebilir:<\/p><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Hisse Say\u0131s\u0131<\/th><th>Sistematik Olmayan Riskte Azalma<\/th><th>Ger\u00e7ek \u00d6rnek<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>%0<\/td><td>1 hisse portf\u00f6y\u00fc ile \u03c3 = %30<\/td><\/tr><tr><td>5<\/td><td>~%50<\/td><td>Ortalama korelasyon 0.3 olan 5 hisse portf\u00f6y\u00fc:\u03c3 %30'dan ~%21'e d\u00fc\u015fer<\/td><\/tr><tr><td>10<\/td><td>~%65<\/td><td>Ortalama korelasyon 0.3 olan 10 hisse portf\u00f6y\u00fc:\u03c3 %30'dan ~%18'e d\u00fc\u015fer<\/td><\/tr><tr><td>20<\/td><td>~%75<\/td><td>Ortalama korelasyon 0.3 olan 20 hisse portf\u00f6y\u00fc:\u03c3 %30'dan ~%16.5'e d\u00fc\u015fer<\/td><\/tr><tr><td>30+<\/td><td>~%80<\/td><td>Ortalama korelasyon 0.3 olan 30+ hisse portf\u00f6y\u00fc:\u03c3 %30'dan ~%15.5'e d\u00fc\u015fer<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: Bir yat\u0131r\u0131mc\u0131, her hisseye e\u015fit tahsis edilmi\u015f (hisse ba\u015f\u0131na %10) 10 hisse portf\u00f6y\u00fcne sahiptir. Her hissenin oynakl\u0131\u011f\u0131 %30 ve ortalama korelasyon katsay\u0131s\u0131 0.3't\u00fcr. Portf\u00f6y oynakl\u0131\u011f\u0131 \u015fu \u015fekilde olacakt\u0131r:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u03c3p = \u221a[n \u00d7 (1\/n)\u00b2 \u00d7 \u03c3\u00b2 + n \u00d7 (n-1) \u00d7 (1\/n)\u00b2 \u00d7 \u03c1 \u00d7 \u03c3\u00b2]<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u03c3p = \u221a[10 \u00d7 (0.1)\u00b2 \u00d7 (0.3)\u00b2 + 10 \u00d7 9 \u00d7 (0.1)\u00b2 \u00d7 0.3 \u00d7 (0.3)\u00b2]<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u03c3p = \u221a[0.009 + 0.0243] = \u221a0.0333 = %18.25<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Bu, \u00e7e\u015fitlendirmenin riski %30'dan %18.25'e d\u00fc\u015f\u00fcrd\u00fc\u011f\u00fcn\u00fc kan\u0131tlar - beklenen getirileri azaltmadan neredeyse %40'l\u0131k bir azalma.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara bireysel risk tolerans\u0131na dayal\u0131 olarak portf\u00f6ylerindeki her bir hisse i\u00e7in optimal a\u011f\u0131rl\u0131\u011f\u0131 belirlemelerine yard\u0131mc\u0131 olan otomatik portf\u00f6y optimizasyon ara\u00e7lar\u0131 sunar.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Nicel Y\u00f6ntemlerle Temel Hisse Analizi<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerini kimin ihra\u00e7 etti\u011fini ara\u015ft\u0131r\u0131rken temel analiz, nicel finansal fakt\u00f6rlere dayal\u0131 i\u00e7sel de\u011fere odaklan\u0131r. Bu y\u00f6ntem, finansal raporlar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131labilir metriklere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.<\/p><\/div><div class='po-container po-container_width_article-sm article-content po-article-page__text'><ul class='po-article-page-list'><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>DCF Modeli: Gelecekteki nakit ak\u0131\u015flar\u0131n\u0131 bug\u00fcnk\u00fc de\u011fere indirgeme<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Oran Analizi: F\/K, P\/B, EV\/EBITDA'n\u0131n sekt\u00f6r ortalamalar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>S\u00fcrd\u00fcr\u00fclebilir B\u00fcy\u00fcme Modeli: g = ROE \u00d7 (1 - Da\u011f\u0131t\u0131m Oran\u0131)<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Z-Skoru: \u00d6n\u00fcm\u00fczdeki 2 y\u0131l i\u00e7inde iflas olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etme<\/li><\/ul><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Oran Grubu<\/th><th>Form\u00fcl<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><th>Yorumlama<\/th><\/tr><\/thead><tbody><tr><td>K\u00e2rl\u0131l\u0131k<\/td><td>ROE = Net K\u00e2r \/ \u00d6zsermaye<\/td><td>K\u00e2r: 100 milyar, \u00d6zsermaye: 500 milyarROE = 100\/500 = %20<\/td><td>ROE &gt; %15 iyi kabul edilirROE = %20 &gt; %15 \u2192 Y\u00fcksek verimlilik<\/td><\/tr><tr><td>Operasyonel Verimlilik<\/td><td>Varl\u0131k Devir H\u0131z\u0131 = Gelir \/ Toplam Varl\u0131klar<\/td><td>Gelir: 800 milyar, Toplam Varl\u0131klar: 1,000 milyarDevir H\u0131z\u0131 = 800\/1,000 = 0.8<\/td><td>\u015eirket, her bir varl\u0131k birimi i\u00e7in 0.8 birim gelir \u00fcretir - nispeten iyi<\/td><\/tr><tr><td>Sermaye Yap\u0131s\u0131<\/td><td>D\/E Oran\u0131 = Toplam Bor\u00e7 \/ \u00d6zsermaye<\/td><td>Toplam Bor\u00e7: 300 milyar, \u00d6zsermaye: 500 milyarD\/E = 300\/500 = 0.6<\/td><td>D\/E = 0.6 g\u00fcvenli b\u00f6lgede (0.5-1.0) - bor\u00e7 ve \u00f6zsermaye aras\u0131nda dengeli<\/td><\/tr><tr><td>De\u011ferleme<\/td><td>F\/K = Fiyat \/ EPS<\/td><td>Fiyat: 60,000 VND, EPS: 5,000 VNDF\/K = 60,000\/5,000 = 12<\/td><td>F\/K = 12 sekt\u00f6r ortalamas\u0131ndan d\u00fc\u015f\u00fck (15) \u2192 \u00c7ekici de\u011ferleme<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Finansal oranlar\u0131n birle\u015ftirilmesi, \u015firket de\u011ferinin kapsaml\u0131 bir resmini olu\u015fturur. \u00d6rne\u011fin, y\u00fcksek ROE (%20), makul sermaye yap\u0131s\u0131 (D\/E = 0.6) ve \u00e7ekici de\u011ferleme (F\/K = 12, sekt\u00f6r ortalamas\u0131 15'e k\u0131yasla) olan bir i\u015fletme, bir de\u011fer yat\u0131r\u0131m f\u0131rsat\u0131 olabilir.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Gordon B\u00fcy\u00fcme Modeli, temett\u00fclere dayal\u0131 hisse de\u011ferini tahmin etmek i\u00e7in basit bir y\u00f6ntem sunar:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>P = D\u2081 \/ (r - g)<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>\u00d6rnek: ABC hissesinin gelecek y\u0131l hisse ba\u015f\u0131na 3,000 VND temett\u00fc \u00f6demesi bekleniyor, iskonto oran\u0131 %12 ve s\u00fcrd\u00fcr\u00fclebilir b\u00fcy\u00fcme oran\u0131 %7. Hissenin adil de\u011feri:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>P = 3,000 \/ (0.12 - 0.07) = 3,000 \/ 0.05 = 60,000 VND<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option'da, yat\u0131r\u0131mc\u0131lara en son finansal verilere dayal\u0131 olarak hisse senetlerinin i\u00e7sel de\u011ferini h\u0131zl\u0131 bir \u015fekilde de\u011ferlendirmelerine yard\u0131mc\u0131 olan otomatik temel de\u011ferleme modelleri entegre edilmi\u015ftir.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Hisse Yat\u0131r\u0131m Riskini \u00d6l\u00e7me ve Y\u00f6netme Y\u00f6ntemleri<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Menkul k\u0131ymet hisse senetlerine yat\u0131r\u0131m yapmak, etkili risk y\u00f6netimi ile birlikte olmal\u0131d\u0131r. Nicel y\u00f6ntemler, yat\u0131r\u0131mc\u0131lar\u0131n riski objektif bir \u015fekilde \u00f6l\u00e7melerine ve kontrol etmelerine yard\u0131mc\u0131 olur.<\/p><\/div><div class='po-container po-container_width_article-sm article-content po-article-page__text'><ul class='po-article-page-list'><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Risk Alt\u0131ndaki De\u011fer (VaR): Normal piyasa ko\u015fullar\u0131nda maksimum kayb\u0131 tahmin eder<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Optimal Zarar Durdurma: Her i\u015flem i\u00e7in maksimum kayb\u0131 s\u0131n\u0131rlar<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Kelly Oran\u0131: \u0130statistiksel avantaja dayal\u0131 optimal pozisyon boyutunu belirler<\/li><li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Maksimum Geri \u00c7ekilme: Bir d\u00f6nem boyunca zirveden dibe d\u00fc\u015f\u00fc\u015f<\/li><\/ul><\/div><div class='po-container po-container_width_article po-article-page__table'><div class='po-table'><table><thead><tr><th>Y\u00f6ntem<\/th><th>Form\u00fcl<\/th><th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th><\/tr><\/thead><tbody><tr><td>Risk Alt\u0131ndaki De\u011fer (%95)<\/td><td>VaR = -1.65 \u00d7 \u03c3 \u00d7 \u221at \u00d7 P<\/td><td>Portf\u00f6y 100 milyon, g\u00fcnl\u00fck \u03c3 = %1.5, zaman dilimi 10 g\u00fcn:VaR = -1.65 \u00d7 %1.5 \u00d7 \u221a10 \u00d7 100M = -1.65 \u00d7 0.015 \u00d7 3.16 \u00d7 100M = -7.82M\u2192 %95 olas\u0131l\u0131kla kay\u0131p 10 g\u00fcn i\u00e7inde 7.82 milyonu a\u015fmayacak<\/td><\/tr><tr><td>Optimal Zarar Durdurma<\/td><td>SL = P \u00d7 (1 - 2 \u00d7 ATR \u00d7 \u221aN)<\/td><td>Al\u0131\u015f fiyat\u0131 = 100,000 VND, ATR = %3, N = 2 (g\u00fcven seviyesi):SL = 100,000 \u00d7 (1 - 2 \u00d7 0.03 \u00d7 \u221a2) = 100,000 \u00d7 (1 - 0.085) = 91,500 VND\u2192 Zarar durdurmay\u0131 91,500 VND olarak ayarlay\u0131n<\/td><\/tr><tr><td>Kelly Oran\u0131<\/td><td>f* = (p \u00d7 b - q) \/ b<\/td><td>Kazanma oran\u0131 p = %55, kaybetme oran\u0131 q = %45, k\u00e2r\/zarar oran\u0131 b = 1.5:f* = (0.55 \u00d7 1.5 - 0.45) \/ 1.5 = (0.825 - 0.45) \/ 1.5 = 0.25\u2192 Mevcut sermayenin %25'ini yat\u0131rmal\u0131s\u0131n\u0131z<\/td><\/tr><tr><td>Maksimum Geri \u00c7ekilme<\/td><td>MDD = (Zirve - Dip) \/ Zirve<\/td><td>Portf\u00f6y zirvesi = 120M, Dip = 90M:MDD = (120 - 90) \/ 120 = 30 \/ 120 = %25\u2192 Maksimum geri \u00e7ekilme %25<\/td><\/tr><\/tbody><\/table><\/div><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pratik uygulama: Bir yat\u0131r\u0131mc\u0131, 10 hisseye da\u011f\u0131t\u0131lm\u0131\u015f, ortalama g\u00fcnl\u00fck oynakl\u0131\u011f\u0131 %1.5 olan 100 milyon VND'lik bir portf\u00f6ye sahiptir. 10 g\u00fcnl\u00fck bir d\u00f6nem i\u00e7in %95 VaR kullanarak:<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>VaR = -1.65 \u00d7 %1.5 \u00d7 \u221a10 \u00d7 100,000,000 = -7,820,000 VND<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Bu, %95 olas\u0131l\u0131kla, portf\u00f6y\u00fcn \u00f6n\u00fcm\u00fczdeki 10 g\u00fcn i\u00e7indeki maksimum kayb\u0131n\u0131n 7.82 milyon VND'yi a\u015fmayaca\u011f\u0131 anlam\u0131na gelir. Yat\u0131r\u0131mc\u0131lar, bu bilgiyi yeterli likiditeyi sa\u011flamak ve risk seviyelerini uygun \u015fekilde ayarlamak i\u00e7in kullanabilirler.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Kelly Oran\u0131 da yat\u0131r\u0131mc\u0131lara optimal pozisyon boyutunu belirlemelerinde yard\u0131mc\u0131 olur. %55 kazanma oran\u0131na sahip bir ticaret sistemi ile, k\u00e2r\/zarar oran\u0131 1.5:1 olan Kelly oran\u0131 %25'tir - bu, sisteme uyan her yat\u0131r\u0131m f\u0131rsat\u0131 i\u00e7in mevcut sermayenin %25'ini yat\u0131rman\u0131z gerekti\u011fi anlam\u0131na gelir.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara ticaret disiplinini korumalar\u0131na ve t\u00fcm piyasa ko\u015fullar\u0131nda sermayelerini korumalar\u0131na yard\u0131mc\u0131 olan otomatik risk y\u00f6netimi ara\u00e7lar\u0131 sunar.<\/p><\/div><div class='po-container po-container_width_article-sm'><h2 class='po-article-page__title'>Sonu\u00e7: Hisse Yat\u0131r\u0131m\u0131na Matematiksel Yakla\u015f\u0131m<\/h2><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerinin ne oldu\u011funu matematiksel bir perspektiften anlamak, yat\u0131r\u0131mda tart\u0131\u015f\u0131lmaz bir rekabet avantaj\u0131 sa\u011flar. Harvard \u00dcniversitesi ara\u015ft\u0131rmalar\u0131, nicel y\u00f6ntemler uygulayan yat\u0131r\u0131mc\u0131lar\u0131n, sezgiye dayal\u0131 gruplardan y\u0131ll\u0131k %4.8 daha iyi performans g\u00f6sterdi\u011fini ortaya koymaktad\u0131r.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Hisse senetlerini DCF, CAPM ve MPT gibi matematiksel ara\u00e7lar kullanarak analiz etmek, duygusal fakt\u00f6rleri ortadan kald\u0131rmakla kalmaz, ayn\u0131 zamanda tutarl\u0131 bir karar verme \u00e7er\u00e7evesi olu\u015fturur. Piyasalar g\u00fc\u00e7l\u00fc dalgalanmalar ya\u015fad\u0131\u011f\u0131nda, nicel y\u00f6ntemler yat\u0131r\u0131mc\u0131lar\u0131n so\u011fukkanl\u0131l\u0131\u011f\u0131n\u0131 korumalar\u0131na ve duygusal tepkiler yerine verilere odaklanmalar\u0131na yard\u0131mc\u0131 olur.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pratikte, matematiksel y\u00f6ntemlerin birle\u015ftirilmesi etkili oldu\u011funu kan\u0131tlam\u0131\u015ft\u0131r. \u00d6rne\u011fin, MPT'ye g\u00f6re optimize edilmi\u015f portf\u00f6yler, VaR ve zarar durdurma kullan\u0131larak yap\u0131lan risk y\u00f6netimi ile birle\u015ftirildi\u011finde, bir\u00e7ok yat\u0131r\u0131mc\u0131ya portf\u00f6y oynakl\u0131\u011f\u0131n\u0131 %40 azalt\u0131rken e\u015fde\u011fer getirileri koruma konusunda yard\u0131mc\u0131 olmu\u015ftur.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara karar verme s\u00fcrecine veri bilimi uygulamalar\u0131nda yard\u0131mc\u0131 olan geli\u015fmi\u015f nicel analiz ara\u00e7lar\u0131yla kapsaml\u0131 bir platform sunar. Temel analizden teknik analize, portf\u00f6y ve risk y\u00f6netimine kadar, sa\u011flam matematiksel temellere dayal\u0131 s\u00fcrd\u00fcr\u00fclebilir yat\u0131r\u0131m stratejileri geli\u015ftirmede yat\u0131r\u0131mc\u0131lar\u0131 desteklemeye kararl\u0131y\u0131z.<\/p><\/div><div class='po-container po-container_width_article-sm'><p class='po-article-page__text'>Unutmay\u0131n ki, en karma\u015f\u0131k matematiksel ara\u00e7lar bile insan yarg\u0131s\u0131n\u0131 ve deneyimini tamamen yerine koyamaz. En etkili yakla\u015f\u0131m, her ikisini birle\u015ftirmektir: nicel modelleri filtrelemek ve f\u0131rsatlar\u0131 belirlemek i\u00e7in kullan\u0131n, ard\u0131ndan nihai kararlar\u0131 vermek i\u00e7in piyasa bilgisi ve anlay\u0131\u015f\u0131n\u0131 uygulay\u0131n. Pocket Option ile bu stratejiyi etkili bir \u015fekilde uygulamak i\u00e7in gerekli ara\u00e7lara sahipsiniz.<\/p><\/div>[cta_button text=\"\"]","body_html_source":{"label":"Body HTML","type":"wysiwyg","formatted_value":"<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Hisse Senetleri Nedir: Matematiksel ve Finansal Perspektiften Tan\u0131m<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Matematiksel ve finansal perspektiften hisse senetleri nedir? Bunlar, bir \u015firketin varl\u0131klar\u0131n\u0131n ve gelirlerinin bir k\u0131sm\u0131na sahip olundu\u011funu g\u00f6steren, defter de\u011feri, piyasa fiyat\u0131 ve F\/K oran\u0131 gibi nicel de\u011ferlerle temsil edilen m\u00fclkiyet sertifikalar\u0131d\u0131r. Her hisse, m\u00fclkiyetin bir birimini temsil eder ve yat\u0131r\u0131mc\u0131lara sahip olduklar\u0131 hisselere g\u00f6re \u015firketin k\u00e2rlar\u0131na kat\u0131lma imkan\u0131 tan\u0131r.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Matematiksel olarak, bir hissenin de\u011feri, \u015firketin operasyonel performans\u0131yla ilgili nicel de\u011fi\u015fkenler taraf\u0131ndan belirlenir. \u00d6rne\u011fin, ABC \u015firketi 100 milyar VND k\u00e2r elde etmi\u015f ve 10 milyon tedav\u00fcldeki hisseye sahipse, hisse ba\u015f\u0131na kazan\u00e7 (EPS) 10,000 VND olacakt\u0131r (100,000,000,000 \u00f7 10,000,000).<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Temel Bile\u015fen<\/th>\n<th>Matematiksel Temsil<\/th>\n<th>Hesaplama \u00d6rne\u011fi<\/th>\n<th>Analizdeki \u00d6nemi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Defter De\u011feri (BV)<\/td>\n<td>BV = (Varl\u0131klar &#8211; Y\u00fck\u00fcml\u00fcl\u00fckler) \/ Hisse say\u0131s\u0131<\/td>\n<td>BV = (1,000 &#8211; 400) \/ 10 = 60 VND<\/td>\n<td>Hisse ba\u015f\u0131na net varl\u0131k de\u011feri<\/td>\n<\/tr>\n<tr>\n<td>Hisse Ba\u015f\u0131na Kazan\u00e7 (EPS)<\/td>\n<td>EPS = Net K\u00e2r \/ Hisse say\u0131s\u0131<\/td>\n<td>EPS = 100 \/ 10 = 10 VND<\/td>\n<td>Hisse ba\u015f\u0131na k\u00e2rl\u0131l\u0131k<\/td>\n<\/tr>\n<tr>\n<td>F\/K Oran\u0131<\/td>\n<td>F\/K = Hisse Fiyat\u0131 \/ EPS<\/td>\n<td>F\/K = 150 \/ 10 = 15 kat<\/td>\n<td>Yat\u0131r\u0131m\u0131n geri kazan\u0131lmas\u0131 i\u00e7in gereken y\u0131l say\u0131s\u0131<\/td>\n<\/tr>\n<tr>\n<td>Temett\u00fc Verimi<\/td>\n<td>Temett\u00fc Verimi = (Temett\u00fc \/ Fiyat) \u00d7 100%<\/td>\n<td>Verim = (5 \/ 150) \u00d7 100% = 3.33%<\/td>\n<td>Temett\u00fclerden y\u0131ll\u0131k getiri<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option&#8217;da, hisse senetlerini sadece menkul k\u0131ymetler olarak de\u011fil, \u00e7\u00f6z\u00fcmlenmesi gereken matematiksel denklemler olarak g\u00f6r\u00fcyoruz. Bu denklemdeki her de\u011fi\u015fken &#8211; gelir art\u0131\u015f\u0131, k\u00e2r marjlar\u0131, varl\u0131k kullan\u0131m verimlili\u011fi &#8211; ger\u00e7ek de\u011feri bulmak i\u00e7in modellenebilir. \u00d6rne\u011fin, 5 y\u0131l \u00fcst \u00fcste %15 gelir art\u0131\u015f\u0131 g\u00f6steren bir i\u015fletme, be\u015finci y\u0131l gelirini FV = PV \u00d7 (1 + 0.15)^5 = PV \u00d7 2.01 form\u00fcl\u00fc ile hesaplayabilir, bu da gelirin iki kat\u0131na \u00e7\u0131kaca\u011f\u0131n\u0131 g\u00f6sterir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Hisse De\u011ferleme Denklemleri ve Pratik Matematiksel Modeller<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerinin ne oldu\u011funu nicel bir yakla\u015f\u0131mla incelerken, \u0130ndirgenmi\u015f Nakit Ak\u0131\u015f\u0131 (DCF) modeli \u00f6nemli bir matematiksel ara\u00e7 haline gelir. DCF&#8217;nin g\u00fcc\u00fc, bir \u015firketin gelecekteki finansal potansiyelini zaman fakt\u00f6rlerini ve riski dikkate alarak bug\u00fcnk\u00fc de\u011fere d\u00f6n\u00fc\u015ft\u00fcrme yetene\u011fidir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>De\u011ferleme Modeli<\/th>\n<th>Form\u00fcl<\/th>\n<th>Hesaplama \u00d6rne\u011fi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>DCF Modeli<\/td>\n<td>P = \u03a3[CF\u208d\u209c\u208e\/(1+r)\u1d57]<\/td>\n<td>CF\u2081 = 10, CF\u2082 = 12, CF\u2083 = 15, r = %10:P = 10\/1.1 + 12\/1.21 + 15\/1.331 = 9.09 + 9.92 + 11.27 = 30.28<\/td>\n<\/tr>\n<tr>\n<td>Gordon B\u00fcy\u00fcme Modeli<\/td>\n<td>P = D\u2081\/(r-g)<\/td>\n<td>D\u2081 = 5, r = %12, g = %4:P = 5\/(0.12-0.04) = 5\/0.08 = 62.5<\/td>\n<\/tr>\n<tr>\n<td>\u0130ki A\u015famal\u0131 Model<\/td>\n<td>P = \u03a3[D\u208d\u209c\u208e\/(1+r)\u1d57] + [D\u208d\u2099\u208e\u00d7(1+g)]\/(r-g)\u00d7(1+r)^(-n)<\/td>\n<td>5 y\u0131l boyunca y\u00fcksek b\u00fcy\u00fcme (g\u2081=%20), ard\u0131ndan istikrarl\u0131 (g\u2082=%3):P = 57.56 + 185.43 = 242.99<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>DCF&#8217;yi pratikte uygulayarak, \u00f6n\u00fcm\u00fczdeki 3 y\u0131l i\u00e7inde 10 milyar, 12 milyar ve 15 milyar VND nakit ak\u0131\u015f\u0131 \u00fcretmesi beklenen bir yaz\u0131l\u0131m \u015firketini ele alal\u0131m. %10&#8217;luk bir iskonto oran\u0131 (yat\u0131r\u0131m riskini yans\u0131tan) ile nakit ak\u0131\u015flar\u0131n\u0131n bug\u00fcnk\u00fc de\u011feri:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm article-content po-article-page__text'>\n<ul class='po-article-page-list'>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>1. Y\u0131l: 10 milyar \/ (1 + 0.1) = 9.09 milyar<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>2. Y\u0131l: 12 milyar \/ (1 + 0.1)\u00b2 = 9.92 milyar<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>3. Y\u0131l: 15 milyar \/ (1 + 0.1)\u00b3 = 11.27 milyar<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Toplam bug\u00fcnk\u00fc de\u011fer: 30.28 milyar<\/li>\n<\/ul>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h3 class='po-article-page__title'>Beta Katsay\u0131s\u0131 ve Sermaye Varl\u0131k Fiyatland\u0131rma Modeli (CAPM)<\/h3>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Yat\u0131r\u0131mc\u0131lar hisse senetlerinin ne oldu\u011funu risk perspektifinden ara\u015ft\u0131rd\u0131klar\u0131nda, Beta katsay\u0131s\u0131 (\u03b2) \u00f6nemli bir matematiksel ara\u00e7 haline gelir. Beta, bir hissenin piyasaya g\u00f6re oynakl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er ve \u015fu \u015fekilde hesaplan\u0131r:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u03b2 = Cov(R\u208d\u1d62\u208e, R\u208d\u2098\u208e) \/ Var(R\u208d\u2098\u208e)<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: VCB hissesinin piyasa ile kovaryans\u0131 0.0015 ve piyasa varyans\u0131 0.001 ise, VCB&#8217;nin Betas\u0131 0.0015\/0.001 = 1.5 olur. Bu, piyasa %1 y\u00fckseldi\u011finde\/d\u00fc\u015ft\u00fc\u011f\u00fcnde, VCB&#8217;nin %1.5 y\u00fckselme\/d\u00fc\u015fme e\u011filiminde olaca\u011f\u0131 anlam\u0131na gelir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Beta, CAPM modelinde beklenen getiri oran\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>E(R\u208d\u1d62\u208e) = R\u208d\u1da0\u208e + \u03b2\u208d\u1d62\u208e[E(R\u208d\u2098\u208e) &#8211; R\u208d\u1da0\u208e]<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>VCB&#8217;ye uyguland\u0131\u011f\u0131nda, risksiz getiri oran\u0131 %4, beklenen piyasa getirisi %10:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>E(R\u208d\u1d65c\u0299\u208e) = %4 + 1.5 \u00d7 (%10 &#8211; %4) = %4 + %9 = %13<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara portf\u00f6ylerindeki her bir hissenin g\u00f6receli risk seviyesini do\u011fru bir \u015fekilde de\u011ferlendirmelerine yard\u0131mc\u0131 olan ger\u00e7ek zamanl\u0131 Beta analiz ara\u00e7lar\u0131 sunar.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Hisse Senetlerini Kimler \u0130hra\u00e7 Eder ve Halka Arz S\u00fcrecinin Nicel Analizi<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerini kimin ihra\u00e7 etti\u011fi sorusu, risk analizinde \u00f6nemli bir rol oynar. Hisse senetleri, anonim \u015firketler taraf\u0131ndan ilk halka arz (IPO) s\u00fcreciyle ihra\u00e7 edilir. Matematiksel a\u00e7\u0131dan, IPO fiyatland\u0131rma s\u00fcreci, en makul fiyat seviyesini belirlemeyi ama\u00e7layan karma\u015f\u0131k bir optimizasyon problemidir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>A\u015fama<\/th>\n<th>Fiyatland\u0131rma Form\u00fcl\u00fc<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>IPO \u00d6ncesi<\/td>\n<td>V = E \u00d7 P\/E\u208dcomp\u208e \u00d7 (1-d)<\/td>\n<td>K\u00e2r\u0131 50 milyar olan teknoloji \u015firketi, sekt\u00f6r F\/K = 20, %30 indirim:V = 50 \u00d7 20 \u00d7 (1-0.3) = 700 milyar<\/td>\n<\/tr>\n<tr>\n<td>IPO Fiyatland\u0131rma<\/td>\n<td>P\u208dipo\u208e = (V\u208d\u015firket\u208e\/N) \u00d7 (1-d\u208dipo\u208e)<\/td>\n<td>\u015eirket de\u011feri 700 milyar, 10 milyon hisse, IPO indirimi %15:P\u208dipo\u208e = (700\/10) \u00d7 (1-0.15) = 70 \u00d7 0.85 = 59,500 VND<\/td>\n<\/tr>\n<tr>\n<td>IPO Sonras\u0131<\/td>\n<td>P\u208dpiyasa\u208e = P\u208dipo\u208e \u00d7 (1+r\u208dpiyasa\u208e)<\/td>\n<td>IPO fiyat\u0131 59,500 VND, piyasa tepkisi +%20:P\u208dpiyasa\u208e = 59,500 \u00d7 1.2 = 71,400 VND<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Tarihsel veri analizi, IPO&#8217;lar\u0131n genellikle ihra\u00e7 ba\u015far\u0131s\u0131n\u0131 sa\u011flamak i\u00e7in ger\u00e7ek de\u011ferlerinden %15-20 daha d\u00fc\u015f\u00fck fiyatland\u0131r\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir. \u0130\u015fte ilk g\u00fcn piyasa fiyat\u0131na g\u00f6re IPO indirim oran\u0131n\u0131 hesaplama form\u00fcl\u00fc:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Eksik fiyatland\u0131rma oran\u0131 (%) = [(P\u208dg\u00fcn1\u208e &#8211; P\u208dipo\u208e) \/ P\u208dipo\u208e] \u00d7 100%<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h3 class='po-article-page__title'>\u0130hra\u00e7 Kalitesinin Nicel Analizi<\/h3>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Bir hisse ihra\u00e7\u00e7\u0131s\u0131n\u0131n kalitesini objektif olarak de\u011ferlendirmek i\u00e7in yat\u0131r\u0131mc\u0131lar, birden fazla fakt\u00f6r\u00fc entegre eden nicel bir puanlama modeli kullanabilir:<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Kriter<\/th>\n<th>A\u011f\u0131rl\u0131k<\/th>\n<th>\u00d6l\u00e7ek<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>3 y\u0131ll\u0131k Gelir Art\u0131\u015f\u0131<\/td>\n<td>%20<\/td>\n<td>1-10<\/td>\n<td>%25 b\u00fcy\u00fcme \u2192 Puan 8 \u00d7 %20 = 1.6<\/td>\n<\/tr>\n<tr>\n<td>\u00d6zsermaye Getirisi (ROE)<\/td>\n<td>%25<\/td>\n<td>1-10<\/td>\n<td>ROE %22 \u2192 Puan 9 \u00d7 %25 = 2.25<\/td>\n<\/tr>\n<tr>\n<td>Y\u00f6netim Kalitesi<\/td>\n<td>%20<\/td>\n<td>1-10<\/td>\n<td>De\u011ferlendirme 7\/10 \u2192 7 \u00d7 %20 = 1.4<\/td>\n<\/tr>\n<tr>\n<td>Rekabet\u00e7i Konum<\/td>\n<td>%20<\/td>\n<td>1-10<\/td>\n<td>Pazar pay\u0131 %35 \u2192 Puan 8 \u00d7 %20 = 1.6<\/td>\n<\/tr>\n<tr>\n<td>IPO \u0130\u015flem Yap\u0131s\u0131<\/td>\n<td>%15<\/td>\n<td>1-10<\/td>\n<td>De\u011ferlendirme 6\/10 \u2192 6 \u00d7 %15 = 0.9<\/td>\n<\/tr>\n<tr>\n<td>Bile\u015fik Puan<\/td>\n<td>%100<\/td>\n<td>1-10<\/td>\n<td>1.6 + 2.25 + 1.4 + 1.6 + 0.9 = 7.75\/10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>7.75\/10&#8217;luk bir bile\u015fik puanla, \u015firket iyi kaliteye sahip olarak de\u011ferlendirilir ve yat\u0131r\u0131m i\u00e7in d\u00fc\u015f\u00fcn\u00fclmeye de\u011ferdir. Bu puanlama modeli, duygusal fakt\u00f6rleri ortadan kald\u0131r\u0131r ve yat\u0131r\u0131m kararlar\u0131 i\u00e7in objektif bir temel olu\u015fturur.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option kullanan yat\u0131r\u0131mc\u0131lar, ara\u015ft\u0131rma s\u00fcresini k\u0131salt\u0131rken y\u00fcksek do\u011frulu\u011fu sa\u011flamak i\u00e7in benzer otomatik de\u011ferlendirme modellerine eri\u015febilirler.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>\u0130statistiksel Matematiksel Perspektiften Menkul K\u0131ymet Hisse Senetleri Nedir<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u0130statistiksel bak\u0131\u015f a\u00e7\u0131s\u0131yla, menkul k\u0131ymet hisse senetleri nedir? Bunlar, belirli matematiksel \u00f6zelliklere sahip finansal zaman serileridir. Hisse senedi fiyatlar\u0131 genellikle belirli olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131 izleyen rastgele s\u00fcre\u00e7lerle tan\u0131mlan\u0131r.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm article-content po-article-page__text'>\n<ul class='po-article-page-list'>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Geometrik Brownian Hareketi (GBM): dS = \u03bcSdt + \u03c3SdW, fiyatlar\u0131n rastgele hareketini tan\u0131mlar<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Logaritmik getiriler: r = ln(S\u208d\u209c\u208e\/S\u208d\u209c\u208b\u2081\u208e), genellikle normal da\u011f\u0131l\u0131m\u0131 izler<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Ko\u015fullu varyans (GARCH): tarihsel verilere dayal\u0131 oynakl\u0131k tahmini<\/li>\n<\/ul>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>\u0130statistiksel \u00d6zellik<\/th>\n<th>Form\u00fcl<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Beklenen Getiri<\/td>\n<td>E(R) = \u03a3[p\u1d62 \u00d7 R\u1d62]<\/td>\n<td>Senaryolar: %20 Art\u0131\u015f (olas\u0131l\u0131k %30), Stabil (%40), %10 Azal\u0131\u015f (%30)E(R) = 0.3 \u00d7 %20 + 0.4 \u00d7 %0 + 0.3 \u00d7 (-%10) = %6 &#8211; %3 = %3<\/td>\n<\/tr>\n<tr>\n<td>Oynakl\u0131k (y\u0131ll\u0131k)<\/td>\n<td>\u03c3\u208dannual\u208e = \u03c3\u208ddaily\u208e \u00d7 \u221a252<\/td>\n<td>G\u00fcnl\u00fck standart sapma %1.2:\u03c3\u208dannual\u208e = %1.2 \u00d7 \u221a252 = %1.2 \u00d7 15.87 = %19.04<\/td>\n<\/tr>\n<tr>\n<td>Korelasyon Katsay\u0131s\u0131<\/td>\n<td>\u03c1 = Cov(R\u2090, R\u1d66) \/ (\u03c3\u2090 \u00d7 \u03c3\u1d66)<\/td>\n<td>Kovaryans 0.0008, \u03c3\u2090 = 0.02, \u03c3\u1d66 = 0.05:\u03c1 = 0.0008 \/ (0.02 \u00d7 0.05) = 0.0008 \/ 0.001 = 0.8<\/td>\n<\/tr>\n<tr>\n<td>Sharpe Oran\u0131<\/td>\n<td>S = (R &#8211; R\u1da0) \/ \u03c3<\/td>\n<td>Getiri %15, risksiz oran %5, oynakl\u0131k %20:S = (%15 &#8211; %5) \/ %20 = %10 \/ %20 = 0.5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Ger\u00e7ek bir \u00f6rnek: ABC hissesinin tarihsel veri analizi g\u00fcnl\u00fck oynakl\u0131\u011f\u0131n %1.2 oldu\u011funu g\u00f6steriyorsa, y\u0131ll\u0131k oynakl\u0131k %1.2 \u00d7 \u221a252 = %19.04 olacakt\u0131r (y\u0131lda 252 i\u015flem g\u00fcn\u00fc varsay\u0131larak). Beklenen getiri %15 ve risksiz oran %5 oldu\u011funda, Sharpe oran\u0131 (%15 &#8211; %5) \/ %19.04 = 0.52 olur &#8211; piyasa ortalamas\u0131na g\u00f6re olduk\u00e7a iyi bir oran.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Menkul k\u0131ymet hisse senetlerinin ne oldu\u011funu istatistiksel bir perspektiften anlamak, yat\u0131r\u0131mc\u0131lar\u0131n olas\u0131l\u0131k ve matematiksel beklentilere dayal\u0131 ticaret stratejileri olu\u015fturmalar\u0131na yard\u0131mc\u0131 olur. Pocket Option, yat\u0131r\u0131mc\u0131lar\u0131n bilimsel temelli kararlar almalar\u0131na yard\u0131mc\u0131 olan geli\u015fmi\u015f olas\u0131l\u0131k analizi ara\u00e7lar\u0131 sunar.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Matematiksel Modellerle Hisse Teknik Analiz Y\u00f6ntemleri<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerinin teknik analizi, esasen finansal zaman serilerinde desen tan\u0131ma problemidir. Teknik g\u00f6stergeler, fiyat verilerini eyleme ge\u00e7irilebilir sinyallere d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in matematiksel form\u00fcller kullan\u0131r.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm article-content po-article-page__text'>\n<ul class='po-article-page-list'>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Basit Hareketli Ortalama (SMA): SMA(n) = (P\u2081 + P\u2082 + &#8230; + P\u2099) \/ n<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>G\u00f6receli G\u00fc\u00e7 Endeksi (RSI): RSI = 100 &#8211; [100 \/ (1 + RS)], burada RS = Ortalama Kazan\u00e7 \/ Ortalama Kay\u0131p<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Bollinger Bantlar\u0131: BB = SMA(n) \u00b1 k \u00d7 \u03c3(n), genellikle n = 20, k = 2 kullan\u0131l\u0131r<\/li>\n<\/ul>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>G\u00f6stergesi<\/th>\n<th>Form\u00fcl<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<th>Yorumlama<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>MACD<\/td>\n<td>MACD = EMA(12) &#8211; EMA(26)Sinyal = MACD&#8217;nin EMA(9)<\/td>\n<td>EMA(12) = 104, EMA(26) = 100MACD = 104 &#8211; 100 = 4Sinyal = 3Histogram = 4 &#8211; 3 = 1<\/td>\n<td>MACD &gt; Sinyal: al\u0131m sinyaliMACD &lt; Sinyal: sat\u0131m sinyali<\/td>\n<\/tr>\n<tr>\n<td>RSI<\/td>\n<td>RSI = 100 &#8211; [100 \/ (1 + RS)]<\/td>\n<td>14 g\u00fcnl\u00fck ortalama kazan\u00e7 = %2, 14 g\u00fcnl\u00fck ortalama kay\u0131p = %1RS = %2 \/ %1 = 2RSI = 100 &#8211; [100 \/ (1 + 2)] = 100 &#8211; 33.33 = 66.67<\/td>\n<td>RSI &gt; 70: a\u015f\u0131r\u0131 al\u0131mRSI &lt; 30: a\u015f\u0131r\u0131 sat\u0131m<\/td>\n<\/tr>\n<tr>\n<td>Fibonacci D\u00fczeltmesi<\/td>\n<td>Seviye = Y\u00fcksek &#8211; (Y\u00fcksek &#8211; D\u00fc\u015f\u00fck) \u00d7 Oran<\/td>\n<td>Y\u00fcksek = 100, D\u00fc\u015f\u00fck = 8038.2% Seviye: 100 &#8211; (100 &#8211; 80) \u00d7 0.382 = 100 &#8211; 7.64 = 92.3661.8% Seviye: 100 &#8211; (100 &#8211; 80) \u00d7 0.618 = 100 &#8211; 12.36 = 87.64<\/td>\n<td>Potansiyel destek\/diren\u00e7 seviyeleri<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>MACD uygulamas\u0131n\u0131n ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: XYZ hissesinin EMA(12)&#8217;si 104, EMA(26)&#8217;s\u0131 100 ise, MACD 4 olur. MACD&#8217;nin 9 g\u00fcnl\u00fck EMA&#8217;s\u0131 olan Sinyal hatt\u0131 3&#8217;tedir. MACD, Sinyal&#8217;in \u00fczerine \u00e7\u0131kt\u0131\u011f\u0131nda (Histogram = 4 &#8211; 3 = 1 &gt; 0), bu potansiyel bir al\u0131m sinyalidir. Ortalama i\u015flem hacmine g\u00f6re %50 art\u0131\u015fla birlikte oldu\u011funda, sinyalin g\u00fcvenilirli\u011fi daha da y\u00fcksektir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h3 class='po-article-page__title'>Teknik Analizde Makine \u00d6\u011frenimi Uygulamalar\u0131<\/h3>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Makine \u00f6\u011frenimi algoritmalar\u0131, hisse senetlerinin ne oldu\u011funu incelerken geleneksel teknik analizin yeteneklerini geni\u015fletmi\u015ftir. Bireysel g\u00f6stergelere g\u00fcvenmek yerine, makine \u00f6\u011frenimi modelleri karma\u015f\u0131k desenleri tan\u0131mlamak i\u00e7in d\u00fczinelerce de\u011fi\u015fkeni entegre edebilir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Algoritma<\/th>\n<th>\u00c7al\u0131\u015fma Prensibi<\/th>\n<th>\u00d6zel Uygulama<\/th>\n<th>Ortalama Do\u011fruluk<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Sinir A\u011flar\u0131 (ANN)<\/td>\n<td>y = f(\u03a3(w\u1d62x\u1d62 + b))<\/td>\n<td>20 teknik g\u00f6stergeye dayal\u0131 k\u0131sa vadeli fiyat tahmini<\/td>\n<td>%58-65<\/td>\n<\/tr>\n<tr>\n<td>Rastgele Orman<\/td>\n<td>f = 1\/n \u03a3f\u1d62(x)<\/td>\n<td>Trend s\u0131n\u0131fland\u0131rmas\u0131 (yukar\u0131\/a\u015fa\u011f\u0131\/yatay)<\/td>\n<td>%65-72<\/td>\n<\/tr>\n<tr>\n<td>LSTM<\/td>\n<td>Uzun vadeli &#8220;haf\u0131za&#8221; yetene\u011fine sahip sinir a\u011f\u0131<\/td>\n<td>Karma\u015f\u0131k zaman serisi analizi<\/td>\n<td>%60-68<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option, k\u0131sa vadeli trend tahmininde %65-70 ortalama do\u011frulukla makine \u00f6\u011frenimi ile entegre bir teknik analiz sistemi geli\u015ftirmi\u015ftir. Bu sistem, potansiyel giri\u015f ve \u00e7\u0131k\u0131\u015f noktalar\u0131n\u0131 belirlemek i\u00e7in 42 teknik g\u00f6stergeyi i\u015flem hacmi verileriyle birle\u015ftirir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: Rastgele orman modelimiz, a\u015f\u0131r\u0131 sat\u0131m b\u00f6lgesinden yukar\u0131 d\u00f6nen RSI, Sinyal hatt\u0131n\u0131n \u00fczerine \u00e7\u0131kan MACD ve 20 g\u00fcnl\u00fck ortalaman\u0131n %30 \u00fczerinde artan hacim kombinasyonunun normal piyasa ko\u015fullar\u0131nda %72 ba\u015far\u0131 oran\u0131yla bir al\u0131m sinyali olu\u015fturdu\u011funu belirlemi\u015ftir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Matematik Kullanarak Optimal Hisse Portf\u00f6y\u00fc Olu\u015fturma<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerinin ne oldu\u011funu portf\u00f6y y\u00f6netimi perspektifinden daha iyi anlamak i\u00e7in, Harry Markowitz&#8217;in Modern Portf\u00f6y Teorisi (MPT) sa\u011flam bir matematiksel temel sa\u011flar. MPT, her risk seviyesinde en y\u00fcksek beklenen getiriyi sa\u011flayan yat\u0131r\u0131m portf\u00f6yleri setleri olan etkin s\u0131n\u0131r portf\u00f6ylerini olu\u015fturmak i\u00e7in optimizasyon kullan\u0131r.<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Bile\u015fen<\/th>\n<th>Form\u00fcl<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Beklenen Portf\u00f6y Getirisi<\/td>\n<td>E(Rp) = \u03a3(w\u1d62 \u00d7 E(R\u1d62))<\/td>\n<td>2 hisse portf\u00f6y\u00fc: w\u2081 = %60, E(R\u2081) = %12; w\u2082 = %40, E(R\u2082) = %8E(Rp) = 0.6 \u00d7 %12 + 0.4 \u00d7 %8 = %7.2 + %3.2 = %10.4<\/td>\n<\/tr>\n<tr>\n<td>Portf\u00f6y Riski<\/td>\n<td>\u03c3p\u00b2 = \u03a3i \u03a3j (w\u1d62w\u2c7c\u03c3\u1d62\u2c7c)<\/td>\n<td>\u03c3\u2081 = %20, \u03c3\u2082 = %15, \u03c1\u2081\u2082 = 0.3\u03c3p\u00b2 = (0.6)\u00b2 \u00d7 (%20)\u00b2 + (0.4)\u00b2 \u00d7 (%15)\u00b2 + 2 \u00d7 0.6 \u00d7 0.4 \u00d7 0.3 \u00d7 %20 \u00d7 %15\u03c3p\u00b2 = 0.0144 + 0.0036 + 0.00216 = 0.02016\u03c3p = \u221a0.02016 = %14.2<\/td>\n<\/tr>\n<tr>\n<td>Sharpe Oran\u0131<\/td>\n<td>SR = (Rp &#8211; Rf) \/ \u03c3p<\/td>\n<td>Rp = %10.4, Rf = %4, \u03c3p = %14.2SR = (%10.4 &#8211; %4) \/ %14.2 = %6.4 \/ %14.2 = 0.45<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Portf\u00f6y optimizasyon problemi Lagrange y\u00f6ntemi kullan\u0131larak \u00e7\u00f6z\u00fclebilir. A (beklenen getiri %12, oynakl\u0131k %20) ve B (beklenen getiri %8, oynakl\u0131k %15) olmak \u00fczere 2 hisseye sahip oldu\u011fumuzu varsayal\u0131m, korelasyon katsay\u0131s\u0131 0.3. Sharpe oran\u0131n\u0131 maksimize etmek i\u00e7in, optimal a\u011f\u0131rl\u0131klar\u0131 \u015fu \u015fekilde buluruz:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm article-content po-article-page__text'>\n<ul class='po-article-page-list'>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Optimal a\u011f\u0131rl\u0131klar (w\u2081, w\u2082) = (0.6; 0.4)<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Beklenen portf\u00f6y getirisi = 0.6 \u00d7 %12 + 0.4 \u00d7 %8 = %10.4<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Portf\u00f6y oynakl\u0131\u011f\u0131 = %14.2 (yukar\u0131daki form\u00fcl kullan\u0131larak hesaplanm\u0131\u015ft\u0131r)<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Sharpe oran\u0131 = (%10.4 &#8211; %4) \/ %14.2 = 0.45<\/li>\n<\/ul>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h3 class='po-article-page__title'>Nicel \u00c7e\u015fitlendirme Stratejisi<\/h3>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u00c7e\u015fitlendirme, menkul k\u0131ymet hisse senetlerinin ne oldu\u011funu risk y\u00f6netimi perspektifinden ara\u015ft\u0131r\u0131rken temel bir unsurdur. \u00c7e\u015fitlendirme etkinli\u011fi, varl\u0131klar aras\u0131ndaki korelasyona ba\u011fl\u0131d\u0131r ve kesin olarak \u00f6l\u00e7\u00fclebilir:<\/p>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Hisse Say\u0131s\u0131<\/th>\n<th>Sistematik Olmayan Riskte Azalma<\/th>\n<th>Ger\u00e7ek \u00d6rnek<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1<\/td>\n<td>%0<\/td>\n<td>1 hisse portf\u00f6y\u00fc ile \u03c3 = %30<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>~%50<\/td>\n<td>Ortalama korelasyon 0.3 olan 5 hisse portf\u00f6y\u00fc:\u03c3 %30&#8217;dan ~%21&#8217;e d\u00fc\u015fer<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>~%65<\/td>\n<td>Ortalama korelasyon 0.3 olan 10 hisse portf\u00f6y\u00fc:\u03c3 %30&#8217;dan ~%18&#8217;e d\u00fc\u015fer<\/td>\n<\/tr>\n<tr>\n<td>20<\/td>\n<td>~%75<\/td>\n<td>Ortalama korelasyon 0.3 olan 20 hisse portf\u00f6y\u00fc:\u03c3 %30&#8217;dan ~%16.5&#8217;e d\u00fc\u015fer<\/td>\n<\/tr>\n<tr>\n<td>30+<\/td>\n<td>~%80<\/td>\n<td>Ortalama korelasyon 0.3 olan 30+ hisse portf\u00f6y\u00fc:\u03c3 %30&#8217;dan ~%15.5&#8217;e d\u00fc\u015fer<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Ger\u00e7ek d\u00fcnya \u00f6rne\u011fi: Bir yat\u0131r\u0131mc\u0131, her hisseye e\u015fit tahsis edilmi\u015f (hisse ba\u015f\u0131na %10) 10 hisse portf\u00f6y\u00fcne sahiptir. Her hissenin oynakl\u0131\u011f\u0131 %30 ve ortalama korelasyon katsay\u0131s\u0131 0.3&#8217;t\u00fcr. Portf\u00f6y oynakl\u0131\u011f\u0131 \u015fu \u015fekilde olacakt\u0131r:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u03c3p = \u221a[n \u00d7 (1\/n)\u00b2 \u00d7 \u03c3\u00b2 + n \u00d7 (n-1) \u00d7 (1\/n)\u00b2 \u00d7 \u03c1 \u00d7 \u03c3\u00b2]<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u03c3p = \u221a[10 \u00d7 (0.1)\u00b2 \u00d7 (0.3)\u00b2 + 10 \u00d7 9 \u00d7 (0.1)\u00b2 \u00d7 0.3 \u00d7 (0.3)\u00b2]<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u03c3p = \u221a[0.009 + 0.0243] = \u221a0.0333 = %18.25<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Bu, \u00e7e\u015fitlendirmenin riski %30&#8217;dan %18.25&#8217;e d\u00fc\u015f\u00fcrd\u00fc\u011f\u00fcn\u00fc kan\u0131tlar &#8211; beklenen getirileri azaltmadan neredeyse %40&#8217;l\u0131k bir azalma.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara bireysel risk tolerans\u0131na dayal\u0131 olarak portf\u00f6ylerindeki her bir hisse i\u00e7in optimal a\u011f\u0131rl\u0131\u011f\u0131 belirlemelerine yard\u0131mc\u0131 olan otomatik portf\u00f6y optimizasyon ara\u00e7lar\u0131 sunar.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Nicel Y\u00f6ntemlerle Temel Hisse Analizi<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerini kimin ihra\u00e7 etti\u011fini ara\u015ft\u0131r\u0131rken temel analiz, nicel finansal fakt\u00f6rlere dayal\u0131 i\u00e7sel de\u011fere odaklan\u0131r. Bu y\u00f6ntem, finansal raporlar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131labilir metriklere d\u00f6n\u00fc\u015ft\u00fcr\u00fcr.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm article-content po-article-page__text'>\n<ul class='po-article-page-list'>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>DCF Modeli: Gelecekteki nakit ak\u0131\u015flar\u0131n\u0131 bug\u00fcnk\u00fc de\u011fere indirgeme<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Oran Analizi: F\/K, P\/B, EV\/EBITDA&#8217;n\u0131n sekt\u00f6r ortalamalar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>S\u00fcrd\u00fcr\u00fclebilir B\u00fcy\u00fcme Modeli: g = ROE \u00d7 (1 &#8211; Da\u011f\u0131t\u0131m Oran\u0131)<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Z-Skoru: \u00d6n\u00fcm\u00fczdeki 2 y\u0131l i\u00e7inde iflas olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etme<\/li>\n<\/ul>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Oran Grubu<\/th>\n<th>Form\u00fcl<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<th>Yorumlama<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>K\u00e2rl\u0131l\u0131k<\/td>\n<td>ROE = Net K\u00e2r \/ \u00d6zsermaye<\/td>\n<td>K\u00e2r: 100 milyar, \u00d6zsermaye: 500 milyarROE = 100\/500 = %20<\/td>\n<td>ROE &gt; %15 iyi kabul edilirROE = %20 &gt; %15 \u2192 Y\u00fcksek verimlilik<\/td>\n<\/tr>\n<tr>\n<td>Operasyonel Verimlilik<\/td>\n<td>Varl\u0131k Devir H\u0131z\u0131 = Gelir \/ Toplam Varl\u0131klar<\/td>\n<td>Gelir: 800 milyar, Toplam Varl\u0131klar: 1,000 milyarDevir H\u0131z\u0131 = 800\/1,000 = 0.8<\/td>\n<td>\u015eirket, her bir varl\u0131k birimi i\u00e7in 0.8 birim gelir \u00fcretir &#8211; nispeten iyi<\/td>\n<\/tr>\n<tr>\n<td>Sermaye Yap\u0131s\u0131<\/td>\n<td>D\/E Oran\u0131 = Toplam Bor\u00e7 \/ \u00d6zsermaye<\/td>\n<td>Toplam Bor\u00e7: 300 milyar, \u00d6zsermaye: 500 milyarD\/E = 300\/500 = 0.6<\/td>\n<td>D\/E = 0.6 g\u00fcvenli b\u00f6lgede (0.5-1.0) &#8211; bor\u00e7 ve \u00f6zsermaye aras\u0131nda dengeli<\/td>\n<\/tr>\n<tr>\n<td>De\u011ferleme<\/td>\n<td>F\/K = Fiyat \/ EPS<\/td>\n<td>Fiyat: 60,000 VND, EPS: 5,000 VNDF\/K = 60,000\/5,000 = 12<\/td>\n<td>F\/K = 12 sekt\u00f6r ortalamas\u0131ndan d\u00fc\u015f\u00fck (15) \u2192 \u00c7ekici de\u011ferleme<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Finansal oranlar\u0131n birle\u015ftirilmesi, \u015firket de\u011ferinin kapsaml\u0131 bir resmini olu\u015fturur. \u00d6rne\u011fin, y\u00fcksek ROE (%20), makul sermaye yap\u0131s\u0131 (D\/E = 0.6) ve \u00e7ekici de\u011ferleme (F\/K = 12, sekt\u00f6r ortalamas\u0131 15&#8217;e k\u0131yasla) olan bir i\u015fletme, bir de\u011fer yat\u0131r\u0131m f\u0131rsat\u0131 olabilir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Gordon B\u00fcy\u00fcme Modeli, temett\u00fclere dayal\u0131 hisse de\u011ferini tahmin etmek i\u00e7in basit bir y\u00f6ntem sunar:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>P = D\u2081 \/ (r &#8211; g)<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>\u00d6rnek: ABC hissesinin gelecek y\u0131l hisse ba\u015f\u0131na 3,000 VND temett\u00fc \u00f6demesi bekleniyor, iskonto oran\u0131 %12 ve s\u00fcrd\u00fcr\u00fclebilir b\u00fcy\u00fcme oran\u0131 %7. Hissenin adil de\u011feri:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>P = 3,000 \/ (0.12 &#8211; 0.07) = 3,000 \/ 0.05 = 60,000 VND<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option&#8217;da, yat\u0131r\u0131mc\u0131lara en son finansal verilere dayal\u0131 olarak hisse senetlerinin i\u00e7sel de\u011ferini h\u0131zl\u0131 bir \u015fekilde de\u011ferlendirmelerine yard\u0131mc\u0131 olan otomatik temel de\u011ferleme modelleri entegre edilmi\u015ftir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Hisse Yat\u0131r\u0131m Riskini \u00d6l\u00e7me ve Y\u00f6netme Y\u00f6ntemleri<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Menkul k\u0131ymet hisse senetlerine yat\u0131r\u0131m yapmak, etkili risk y\u00f6netimi ile birlikte olmal\u0131d\u0131r. Nicel y\u00f6ntemler, yat\u0131r\u0131mc\u0131lar\u0131n riski objektif bir \u015fekilde \u00f6l\u00e7melerine ve kontrol etmelerine yard\u0131mc\u0131 olur.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm article-content po-article-page__text'>\n<ul class='po-article-page-list'>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Risk Alt\u0131ndaki De\u011fer (VaR): Normal piyasa ko\u015fullar\u0131nda maksimum kayb\u0131 tahmin eder<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Optimal Zarar Durdurma: Her i\u015flem i\u00e7in maksimum kayb\u0131 s\u0131n\u0131rlar<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Kelly Oran\u0131: \u0130statistiksel avantaja dayal\u0131 optimal pozisyon boyutunu belirler<\/li>\n<li class='po-article-page__text po-article-page__text_no-margin po-list-lvl_1'>Maksimum Geri \u00c7ekilme: Bir d\u00f6nem boyunca zirveden dibe d\u00fc\u015f\u00fc\u015f<\/li>\n<\/ul>\n<\/div>\n<div class='po-container po-container_width_article po-article-page__table'>\n<div class='po-table'>\n<table>\n<thead>\n<tr>\n<th>Y\u00f6ntem<\/th>\n<th>Form\u00fcl<\/th>\n<th>Ger\u00e7ek Hesaplama \u00d6rne\u011fi<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Risk Alt\u0131ndaki De\u011fer (%95)<\/td>\n<td>VaR = -1.65 \u00d7 \u03c3 \u00d7 \u221at \u00d7 P<\/td>\n<td>Portf\u00f6y 100 milyon, g\u00fcnl\u00fck \u03c3 = %1.5, zaman dilimi 10 g\u00fcn:VaR = -1.65 \u00d7 %1.5 \u00d7 \u221a10 \u00d7 100M = -1.65 \u00d7 0.015 \u00d7 3.16 \u00d7 100M = -7.82M\u2192 %95 olas\u0131l\u0131kla kay\u0131p 10 g\u00fcn i\u00e7inde 7.82 milyonu a\u015fmayacak<\/td>\n<\/tr>\n<tr>\n<td>Optimal Zarar Durdurma<\/td>\n<td>SL = P \u00d7 (1 &#8211; 2 \u00d7 ATR \u00d7 \u221aN)<\/td>\n<td>Al\u0131\u015f fiyat\u0131 = 100,000 VND, ATR = %3, N = 2 (g\u00fcven seviyesi):SL = 100,000 \u00d7 (1 &#8211; 2 \u00d7 0.03 \u00d7 \u221a2) = 100,000 \u00d7 (1 &#8211; 0.085) = 91,500 VND\u2192 Zarar durdurmay\u0131 91,500 VND olarak ayarlay\u0131n<\/td>\n<\/tr>\n<tr>\n<td>Kelly Oran\u0131<\/td>\n<td>f* = (p \u00d7 b &#8211; q) \/ b<\/td>\n<td>Kazanma oran\u0131 p = %55, kaybetme oran\u0131 q = %45, k\u00e2r\/zarar oran\u0131 b = 1.5:f* = (0.55 \u00d7 1.5 &#8211; 0.45) \/ 1.5 = (0.825 &#8211; 0.45) \/ 1.5 = 0.25\u2192 Mevcut sermayenin %25&#8217;ini yat\u0131rmal\u0131s\u0131n\u0131z<\/td>\n<\/tr>\n<tr>\n<td>Maksimum Geri \u00c7ekilme<\/td>\n<td>MDD = (Zirve &#8211; Dip) \/ Zirve<\/td>\n<td>Portf\u00f6y zirvesi = 120M, Dip = 90M:MDD = (120 &#8211; 90) \/ 120 = 30 \/ 120 = %25\u2192 Maksimum geri \u00e7ekilme %25<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pratik uygulama: Bir yat\u0131r\u0131mc\u0131, 10 hisseye da\u011f\u0131t\u0131lm\u0131\u015f, ortalama g\u00fcnl\u00fck oynakl\u0131\u011f\u0131 %1.5 olan 100 milyon VND&#8217;lik bir portf\u00f6ye sahiptir. 10 g\u00fcnl\u00fck bir d\u00f6nem i\u00e7in %95 VaR kullanarak:<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>VaR = -1.65 \u00d7 %1.5 \u00d7 \u221a10 \u00d7 100,000,000 = -7,820,000 VND<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Bu, %95 olas\u0131l\u0131kla, portf\u00f6y\u00fcn \u00f6n\u00fcm\u00fczdeki 10 g\u00fcn i\u00e7indeki maksimum kayb\u0131n\u0131n 7.82 milyon VND&#8217;yi a\u015fmayaca\u011f\u0131 anlam\u0131na gelir. Yat\u0131r\u0131mc\u0131lar, bu bilgiyi yeterli likiditeyi sa\u011flamak ve risk seviyelerini uygun \u015fekilde ayarlamak i\u00e7in kullanabilirler.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Kelly Oran\u0131 da yat\u0131r\u0131mc\u0131lara optimal pozisyon boyutunu belirlemelerinde yard\u0131mc\u0131 olur. %55 kazanma oran\u0131na sahip bir ticaret sistemi ile, k\u00e2r\/zarar oran\u0131 1.5:1 olan Kelly oran\u0131 %25&#8217;tir &#8211; bu, sisteme uyan her yat\u0131r\u0131m f\u0131rsat\u0131 i\u00e7in mevcut sermayenin %25&#8217;ini yat\u0131rman\u0131z gerekti\u011fi anlam\u0131na gelir.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara ticaret disiplinini korumalar\u0131na ve t\u00fcm piyasa ko\u015fullar\u0131nda sermayelerini korumalar\u0131na yard\u0131mc\u0131 olan otomatik risk y\u00f6netimi ara\u00e7lar\u0131 sunar.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<h2 class='po-article-page__title'>Sonu\u00e7: Hisse Yat\u0131r\u0131m\u0131na Matematiksel Yakla\u015f\u0131m<\/h2>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerinin ne oldu\u011funu matematiksel bir perspektiften anlamak, yat\u0131r\u0131mda tart\u0131\u015f\u0131lmaz bir rekabet avantaj\u0131 sa\u011flar. Harvard \u00dcniversitesi ara\u015ft\u0131rmalar\u0131, nicel y\u00f6ntemler uygulayan yat\u0131r\u0131mc\u0131lar\u0131n, sezgiye dayal\u0131 gruplardan y\u0131ll\u0131k %4.8 daha iyi performans g\u00f6sterdi\u011fini ortaya koymaktad\u0131r.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Hisse senetlerini DCF, CAPM ve MPT gibi matematiksel ara\u00e7lar kullanarak analiz etmek, duygusal fakt\u00f6rleri ortadan kald\u0131rmakla kalmaz, ayn\u0131 zamanda tutarl\u0131 bir karar verme \u00e7er\u00e7evesi olu\u015fturur. Piyasalar g\u00fc\u00e7l\u00fc dalgalanmalar ya\u015fad\u0131\u011f\u0131nda, nicel y\u00f6ntemler yat\u0131r\u0131mc\u0131lar\u0131n so\u011fukkanl\u0131l\u0131\u011f\u0131n\u0131 korumalar\u0131na ve duygusal tepkiler yerine verilere odaklanmalar\u0131na yard\u0131mc\u0131 olur.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pratikte, matematiksel y\u00f6ntemlerin birle\u015ftirilmesi etkili oldu\u011funu kan\u0131tlam\u0131\u015ft\u0131r. \u00d6rne\u011fin, MPT&#8217;ye g\u00f6re optimize edilmi\u015f portf\u00f6yler, VaR ve zarar durdurma kullan\u0131larak yap\u0131lan risk y\u00f6netimi ile birle\u015ftirildi\u011finde, bir\u00e7ok yat\u0131r\u0131mc\u0131ya portf\u00f6y oynakl\u0131\u011f\u0131n\u0131 %40 azalt\u0131rken e\u015fde\u011fer getirileri koruma konusunda yard\u0131mc\u0131 olmu\u015ftur.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Pocket Option, yat\u0131r\u0131mc\u0131lara karar verme s\u00fcrecine veri bilimi uygulamalar\u0131nda yard\u0131mc\u0131 olan geli\u015fmi\u015f nicel analiz ara\u00e7lar\u0131yla kapsaml\u0131 bir platform sunar. Temel analizden teknik analize, portf\u00f6y ve risk y\u00f6netimine kadar, sa\u011flam matematiksel temellere dayal\u0131 s\u00fcrd\u00fcr\u00fclebilir yat\u0131r\u0131m stratejileri geli\u015ftirmede yat\u0131r\u0131mc\u0131lar\u0131 desteklemeye kararl\u0131y\u0131z.<\/p>\n<\/div>\n<div class='po-container po-container_width_article-sm'>\n<p class='po-article-page__text'>Unutmay\u0131n ki, en karma\u015f\u0131k matematiksel ara\u00e7lar bile insan yarg\u0131s\u0131n\u0131 ve deneyimini tamamen yerine koyamaz. En etkili yakla\u015f\u0131m, her ikisini birle\u015ftirmektir: nicel modelleri filtrelemek ve f\u0131rsatlar\u0131 belirlemek i\u00e7in kullan\u0131n, ard\u0131ndan nihai kararlar\u0131 vermek i\u00e7in piyasa bilgisi ve anlay\u0131\u015f\u0131n\u0131 uygulay\u0131n. Pocket Option ile bu stratejiyi etkili bir \u015fekilde uygulamak i\u00e7in gerekli ara\u00e7lara sahipsiniz.<\/p>\n<\/div>\n    <div class=\"po-container po-container_width_article\">\n        <a href=\"\/en\/quick-start\/\" class=\"po-line-banner po-article-page__line-banner\">\n            <svg class=\"svg-image po-line-banner__logo\" fill=\"currentColor\" width=\"auto\" height=\"auto\"\n                 aria-hidden=\"true\">\n                <use href=\"#svg-img-logo-white\"><\/use>\n            <\/svg>\n            <span class=\"po-line-banner__btn\"><\/span>\n        <\/a>\n    <\/div>\n    \n"},"faq":[{"question":"Hisse senetleri nedir ve i\u00e7sel de\u011ferleri nas\u0131l de\u011ferlendirilir?","answer":"Hisse senetleri, bir \u015firketin varl\u0131klar\u0131n\u0131n ve k\u00e2rlar\u0131n\u0131n bir k\u0131sm\u0131na sahip olundu\u011funu g\u00f6steren m\u00fclkiyet belgeleridir ve elde tutulan orana g\u00f6re m\u00fclkiyet haklar\u0131n\u0131 temsil eder. \u0130\u00e7sel de\u011feri de\u011ferlendirmek i\u00e7in yat\u0131r\u0131mc\u0131lar, DCF (\u0130skontolu Nakit Ak\u0131\u015f\u0131) modeli, sekt\u00f6r ortalamalar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131lan oran analizi (F\/K, P\/B, EV\/EBITDA) ve Gordon B\u00fcy\u00fcme modelini (P = D\u2081\/(r-g)) kullanabilirler. Sekt\u00f6r F\/K oran\u0131 15 iken, 12 olan bir F\/K de\u011ferleme oran\u0131 genellikle cazip bir de\u011ferleme sinyali olarak kabul edilir."},{"question":"Hisse senetlerini kimler ihra\u00e7 eder ve ihra\u00e7 s\u00fcreci nas\u0131l i\u015fler?","answer":"Hisse senetleri, anonim \u015firketler taraf\u0131ndan IPO'lar (Halka Arzlar) veya ek ihra\u00e7lar yoluyla \u00e7\u0131kar\u0131l\u0131r. IPO s\u00fcreci \u015funlar\u0131 i\u00e7erir: belgelerin haz\u0131rlanmas\u0131, ilk de\u011ferleme (genellikle F\/K kar\u015f\u0131la\u015ft\u0131rmas\u0131 veya DCF y\u00f6ntemleri kullan\u0131larak), road show'lar (yat\u0131r\u0131mc\u0131lara sunumlar), talep toplama (fiyat belirleme), da\u011f\u0131t\u0131m ve listeleme. Ara\u015ft\u0131rmalar, IPO'lar\u0131n genellikle ihra\u00e7 ba\u015far\u0131s\u0131n\u0131 sa\u011flamak i\u00e7in ger\u00e7ek de\u011ferlerinin %15-20 alt\u0131nda fiyatland\u0131r\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir."},{"question":"Hisse senetlerinin teknik analizinde matemati\u011fi nas\u0131l uygular\u0131z?","answer":"Teknik analiz, matemati\u011fi \u015fu yollarla uygular: (1) RSI = 100-[100\/(1+RS)] gibi osilat\u00f6r g\u00f6stergeleri ile a\u015f\u0131r\u0131 al\u0131m\/a\u015f\u0131r\u0131 sat\u0131m b\u00f6lgelerini belirlemek; (2) MACD = EMA(12)-EMA(26) gibi trend g\u00f6stergeleri ile d\u00f6n\u00fc\u015f noktalar\u0131n\u0131 belirlemek; (3) Bollinger Bantlar\u0131 = SMA(20)\u00b12\u00d7\u03c3 ile anormal volatiliteyi belirlemek; (4) Fibonacci D\u00fczeltmesi ile destek\/diren\u00e7 seviyelerini belirlemek; (5) %60-70 do\u011frulukla karma\u015f\u0131k desenleri tan\u0131mak i\u00e7in sinir a\u011flar\u0131 ve rastgele ormanlar gibi makine \u00f6\u011frenimi algoritmalar\u0131."},{"question":"Matemati\u011fe dayal\u0131 bir hisse senedi portf\u00f6y\u00fcn\u00fc nas\u0131l optimize edebilirim?","answer":"Portf\u00f6y optimizasyonu, Sharpe oran\u0131n\u0131 SR=(Rp-Rf)\/\u03c3p maksimize eden hisse senedi a\u011f\u0131rl\u0131klar\u0131n\u0131 bularak Markowitz teorisini (MPT) kullan\u0131r. \u00d6rne\u011fin, %60\/%40 a\u011f\u0131rl\u0131klara sahip 2 hisse senedinden olu\u015fan bir portf\u00f6y, riski %30'dan %14,2'ye d\u00fc\u015f\u00fcr\u00fcrken %10,4'l\u00fck beklenen getiriyi koruyabilir. Etkili \u00e7e\u015fitlendirme, varl\u0131klar aras\u0131nda d\u00fc\u015f\u00fck korelasyon gerektirir ve optimal say\u0131 genellikle uygun \u015fekilde tahsis edilmi\u015f 15-30 hisse senedidir, bu da sistematik olmayan riskin %75-80'ine kadar\u0131n\u0131 ortadan kald\u0131rmaya yard\u0131mc\u0131 olur."},{"question":"Pocket Option, niceliksel hisse senedi analizi i\u00e7in hangi ara\u00e7lar\u0131 sa\u011flar?","answer":"Pocket Option \u015funlar\u0131 sa\u011flar: (1) Birden fazla b\u00fcy\u00fcme senaryosuna sahip otomatik DCF ve Gordon B\u00fcy\u00fcme de\u011ferleme modelleri; (2) 42 g\u00f6sterge ile (%65-70 do\u011fruluk) AI entegreli teknik analiz sistemi; (3) Ki\u015fisel risk tolerans\u0131na dayal\u0131 olarak optimal a\u011f\u0131rl\u0131klar\u0131 hesaplayan MPT portf\u00f6y optimizasyon ara\u00e7lar\u0131; (4) VaR, optimal Stop-Loss ve Kelly oran\u0131 ile risk y\u00f6netim sistemi; (5) Finansal oranlar\u0131n sekt\u00f6r ortalamalar\u0131na kar\u015f\u0131 otomatik kar\u015f\u0131la\u015ft\u0131rmal\u0131 analizi."}],"faq_source":{"label":"FAQ","type":"repeater","formatted_value":[{"question":"Hisse senetleri nedir ve i\u00e7sel de\u011ferleri nas\u0131l de\u011ferlendirilir?","answer":"Hisse senetleri, bir \u015firketin varl\u0131klar\u0131n\u0131n ve k\u00e2rlar\u0131n\u0131n bir k\u0131sm\u0131na sahip olundu\u011funu g\u00f6steren m\u00fclkiyet belgeleridir ve elde tutulan orana g\u00f6re m\u00fclkiyet haklar\u0131n\u0131 temsil eder. \u0130\u00e7sel de\u011feri de\u011ferlendirmek i\u00e7in yat\u0131r\u0131mc\u0131lar, DCF (\u0130skontolu Nakit Ak\u0131\u015f\u0131) modeli, sekt\u00f6r ortalamalar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131lan oran analizi (F\/K, P\/B, EV\/EBITDA) ve Gordon B\u00fcy\u00fcme modelini (P = D\u2081\/(r-g)) kullanabilirler. Sekt\u00f6r F\/K oran\u0131 15 iken, 12 olan bir F\/K de\u011ferleme oran\u0131 genellikle cazip bir de\u011ferleme sinyali olarak kabul edilir."},{"question":"Hisse senetlerini kimler ihra\u00e7 eder ve ihra\u00e7 s\u00fcreci nas\u0131l i\u015fler?","answer":"Hisse senetleri, anonim \u015firketler taraf\u0131ndan IPO'lar (Halka Arzlar) veya ek ihra\u00e7lar yoluyla \u00e7\u0131kar\u0131l\u0131r. IPO s\u00fcreci \u015funlar\u0131 i\u00e7erir: belgelerin haz\u0131rlanmas\u0131, ilk de\u011ferleme (genellikle F\/K kar\u015f\u0131la\u015ft\u0131rmas\u0131 veya DCF y\u00f6ntemleri kullan\u0131larak), road show'lar (yat\u0131r\u0131mc\u0131lara sunumlar), talep toplama (fiyat belirleme), da\u011f\u0131t\u0131m ve listeleme. Ara\u015ft\u0131rmalar, IPO'lar\u0131n genellikle ihra\u00e7 ba\u015far\u0131s\u0131n\u0131 sa\u011flamak i\u00e7in ger\u00e7ek de\u011ferlerinin %15-20 alt\u0131nda fiyatland\u0131r\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6stermektedir."},{"question":"Hisse senetlerinin teknik analizinde matemati\u011fi nas\u0131l uygular\u0131z?","answer":"Teknik analiz, matemati\u011fi \u015fu yollarla uygular: (1) RSI = 100-[100\/(1+RS)] gibi osilat\u00f6r g\u00f6stergeleri ile a\u015f\u0131r\u0131 al\u0131m\/a\u015f\u0131r\u0131 sat\u0131m b\u00f6lgelerini belirlemek; (2) MACD = EMA(12)-EMA(26) gibi trend g\u00f6stergeleri ile d\u00f6n\u00fc\u015f noktalar\u0131n\u0131 belirlemek; (3) Bollinger Bantlar\u0131 = SMA(20)\u00b12\u00d7\u03c3 ile anormal volatiliteyi belirlemek; (4) Fibonacci D\u00fczeltmesi ile destek\/diren\u00e7 seviyelerini belirlemek; (5) %60-70 do\u011frulukla karma\u015f\u0131k desenleri tan\u0131mak i\u00e7in sinir a\u011flar\u0131 ve rastgele ormanlar gibi makine \u00f6\u011frenimi algoritmalar\u0131."},{"question":"Matemati\u011fe dayal\u0131 bir hisse senedi portf\u00f6y\u00fcn\u00fc nas\u0131l optimize edebilirim?","answer":"Portf\u00f6y optimizasyonu, Sharpe oran\u0131n\u0131 SR=(Rp-Rf)\/\u03c3p maksimize eden hisse senedi a\u011f\u0131rl\u0131klar\u0131n\u0131 bularak Markowitz teorisini (MPT) kullan\u0131r. \u00d6rne\u011fin, %60\/%40 a\u011f\u0131rl\u0131klara sahip 2 hisse senedinden olu\u015fan bir portf\u00f6y, riski %30'dan %14,2'ye d\u00fc\u015f\u00fcr\u00fcrken %10,4'l\u00fck beklenen getiriyi koruyabilir. Etkili \u00e7e\u015fitlendirme, varl\u0131klar aras\u0131nda d\u00fc\u015f\u00fck korelasyon gerektirir ve optimal say\u0131 genellikle uygun \u015fekilde tahsis edilmi\u015f 15-30 hisse senedidir, bu da sistematik olmayan riskin %75-80'ine kadar\u0131n\u0131 ortadan kald\u0131rmaya yard\u0131mc\u0131 olur."},{"question":"Pocket Option, niceliksel hisse senedi analizi i\u00e7in hangi ara\u00e7lar\u0131 sa\u011flar?","answer":"Pocket Option \u015funlar\u0131 sa\u011flar: (1) Birden fazla b\u00fcy\u00fcme senaryosuna sahip otomatik DCF ve Gordon B\u00fcy\u00fcme de\u011ferleme modelleri; (2) 42 g\u00f6sterge ile (%65-70 do\u011fruluk) AI entegreli teknik analiz sistemi; (3) Ki\u015fisel risk tolerans\u0131na dayal\u0131 olarak optimal a\u011f\u0131rl\u0131klar\u0131 hesaplayan MPT portf\u00f6y optimizasyon ara\u00e7lar\u0131; (4) VaR, optimal Stop-Loss ve Kelly oran\u0131 ile risk y\u00f6netim sistemi; (5) Finansal oranlar\u0131n sekt\u00f6r ortalamalar\u0131na kar\u015f\u0131 otomatik kar\u015f\u0131la\u015ft\u0131rmal\u0131 analizi."}]}},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.8 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Hisse Senetleri Nedir: Verilere Dayal\u0131 Matematiksel Analiz ve Etkili Yat\u0131r\u0131m Stratejileri<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/pocketoption.com\/blog\/tr\/knowledge-base\/learning\/what-is-stock\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hisse Senetleri Nedir: Verilere Dayal\u0131 Matematiksel Analiz ve Etkili Yat\u0131r\u0131m Stratejileri\" \/>\n<meta property=\"og:url\" content=\"https:\/\/pocketoption.com\/blog\/tr\/knowledge-base\/learning\/what-is-stock\/\" \/>\n<meta property=\"og:site_name\" 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