{"id":1752,"date":"2024-01-17T04:12:11","date_gmt":"2024-01-17T04:12:11","guid":{"rendered":"https:\/\/bankfin.unipi.gr\/mastersbankfin\/?post_type=courses&#038;p=1752"},"modified":"2024-01-17T04:12:34","modified_gmt":"2024-01-17T04:12:34","slug":"derivatives","status":"publish","type":"courses","link":"https:\/\/bankfin.unipi.gr\/mastersbankfin\/en\/courses\/derivatives\/","title":{"rendered":"Derivatives"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1752\" class=\"elementor elementor-1752\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5838d14 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"5838d14\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2125c57 elementor-widget elementor-widget-heading\" data-id=\"2125c57\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.19.0 - 29-01-2024 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h2 class=\"elementor-heading-title elementor-size-default\">Derivatives<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6c12fc2 elementor-widget elementor-widget-text-editor\" data-id=\"6c12fc2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.19.0 - 29-01-2024 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p><span style=\"color: #ffc747;\"><b>Full Time<\/b><\/span>\/\/ 2nd Semester, Course Code: <strong>\u039c\u0395\u03a7\u03a1\u0397331<\/strong><\/p><p><span style=\"color: #00ffff;\"><strong>Part Time<\/strong><\/span> \/\/ 3rd Semester, Course Code: <strong>\u039c\u0395\u03a7\u03a1\u0397-\u039c331<\/strong><\/p><p><strong>Credits:<\/strong>\u00a0<strong>6<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-813e6f9 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"813e6f9\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7944cd2 elementor-widget elementor-widget-n-accordion\" data-id=\"7944cd2\" data-element_type=\"widget\" data-settings=\"{&quot;default_state&quot;:&quot;all_collapsed&quot;,&quot;max_items_expended&quot;:&quot;one&quot;,&quot;n_accordion_animation_duration&quot;:{&quot;unit&quot;:&quot;ms&quot;,&quot;size&quot;:400,&quot;sizes&quot;:[]}}\" data-widget_type=\"nested-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"e-n-accordion\" aria-label=\"Accordion. Open links with Enter or Space, close with Escape, and navigate with Arrow Keys\">\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-1270\" class=\"e-n-accordion-item\" >\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"1\" tabindex=\"0\" aria-expanded=\"false\" aria-controls=\"e-n-accordion-item-1270\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><h4 class=\"e-n-accordion-item-title-text\"> Course Description in .pdf <\/h4><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-1270\" class=\"elementor-element elementor-element-294f7ba e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"294f7ba\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-82f5dda elementor-widget elementor-widget-button\" data-id=\"82f5dda\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Full Time Course Description (Greek)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ce0210c elementor-widget elementor-widget-button\" data-id=\"ce0210c\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Full Time Course Description (English)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-04cac09 elementor-widget elementor-widget-button\" data-id=\"04cac09\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Part Time Course Description (Greek)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d3596a3 elementor-widget elementor-widget-button\" data-id=\"d3596a3\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-xs\" href=\"#\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Part Time Course Description (English)<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-905b89e e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"905b89e\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-def6595 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"def6595\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-0cc7e48 elementor-widget elementor-widget-heading\" data-id=\"0cc7e48\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Learning Outcomes<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6aa7c17 elementor-widget elementor-widget-text-editor\" data-id=\"6aa7c17\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>The course focuses on the operating mechanisms of the financial derivatives markets which are currently an active part of the international financial markets. The purpose of the course is to present the use of derivative products, such as Futures and Options, as well as their valuation techniques in a number of mathematical models. Also, speculative strategies, hedging strategies, and investment risk quantification measures related to the necessity of financial derivatives are going to be presented.<\/p>\n<p>After the successful completion of the course, students will be able to<\/p>\n<ul>\n<li>know the main features of basic financial derivative securities, such as Futures\/Forwards and Options.<\/li>\n<li>use basic financial derivative products to design speculative strategies, arbitrage strategies, and hedging strategies.<\/li>\n<li>value basic financial derivative securities with the discrete-time Binomial Model.<\/li>\n<li>value underlying financial derivative securities with the continuous-time Black-Scholes Model of Brownian Geometric Motion and<\/li>\n<li>interpret the main risk components, such as sensitivity coefficients, of basic financial derivative products and use them for risk management of dynamic portfolios.<\/li>\n<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-84f29fc elementor-widget elementor-widget-heading\" data-id=\"84f29fc\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">General Competences<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6f46490 elementor-widget elementor-widget-text-editor\" data-id=\"6f46490\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul>\n<li>Development of free, creative and inductive thinking,<\/li>\n<li>Decision making,<\/li>\n<li>Individual\/independent work,<\/li>\n<li>work in an interdisciplinary environment<\/li>\n<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fb53422 elementor-widget elementor-widget-heading\" data-id=\"fb53422\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Course Content<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0309ed2 elementor-widget elementor-widget-text-editor\" data-id=\"0309ed2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Futures and Futures Contracts: Terminology &ndash; Payoffs &ndash; Standardization &ndash; Margin Operations &ndash; Valuation &ndash; Speculation &ndash; Risk Hedging &ndash; Options Markets: Call and Put &ndash; Basic Positions &ndash; Payoffs and P\/L Charts &ndash; Standardization &ndash; Trading &ndash; Spreads &ndash; Options &ndash;&ndash; Properties of Stock Options: Basic Assumptions &ndash; Factors Affecting the Value of Options &ndash; Speculation &ndash; Put-Call Parity &ndash; Early Exercise of American Options &ndash; The Effect of Dividends &ndash; Options and Speculative Strategies&ndash; Interpretation of the Put Call Parity &ndash; Binomial Model: One-Step Binomial Trees &ndash; Two-Step Binomial Trees &ndash; Valuation with Risk-Free Portfolios &ndash; Risk Neutral Valuation &ndash; Valuation of European Options &ndash; Valuation of American Options &ndash; Hedging Delta Risk &#8211; Stochastic Processes and It&ocirc;&#8217;s Lemma: Types of Stochastic Processes &ndash; Markovian Property &ndash; Weak Market Efficiency &ndash; Continuous-Time Stochastic Processes &ndash; Wiener Processes &ndash; Generalized Wiener Processes &ndash; Processes It&ocirc; &ndash; The Stock Price Process and Parameter Interpretation &ndash; It&ocirc;&#8217;s Lemma and Applications &#8211; Black, Scholes &amp; Merton&#8217;s MDE &ndash; Risk Neutral Valuation &ndash; Black &amp; Scholes Valuation Formulas &ndash; Implied Volatility<\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7f4deb0 elementor-widget elementor-widget-heading\" data-id=\"7f4deb0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Student Performance Evaluation<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-73aad61 elementor-widget elementor-widget-text-editor\" data-id=\"73aad61\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Written Final Exam (80%) and individual homeworks (20%).<\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15f7283 elementor-widget elementor-widget-heading\" data-id=\"15f7283\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Bibliography<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0dca54d elementor-widget elementor-widget-text-editor\" data-id=\"0dca54d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><strong>Suggested Bibliography<\/strong><\/p><ul>\n<li>John C. Hull, Options, Futures, And Other Derivatives, 10th Edition, Pearson, 2018.<\/li>\n<\/ul>\n<p><strong>Related Academic Journals<\/strong><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7f644ec e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"7f644ec\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;,&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f5ac3d0 elementor-widget elementor-widget-text-editor\" data-id=\"f5ac3d0\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p style=\"text-align: center;\"><strong>Master of Science (M.Sc.) in<br \/>\u00abBanking and Finance\u00bb<\/strong><br \/>Specialization in <br \/>\u00abBanking and Financial Management\u00bb<br \/><br \/><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-45d2975 elementor-widget elementor-widget-heading\" data-id=\"45d2975\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Courses<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-30b69b0 hfe-nav-menu__breakpoint-none hfe-nav-menu__align-left hfe-submenu-icon-arrow hfe-submenu-animation-none hfe-link-redirect-child elementor-widget elementor-widget-navigation-menu\" data-id=\"30b69b0\" data-element_type=\"widget\" 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