{"id":1797,"date":"2024-01-17T04:19:40","date_gmt":"2024-01-17T04:19:40","guid":{"rendered":"https:\/\/bankfin.unipi.gr\/mastersbankfin\/?post_type=courses&#038;p=1797"},"modified":"2024-01-17T04:20:13","modified_gmt":"2024-01-17T04:20:13","slug":"topics-in-quantitative-finance","status":"publish","type":"courses","link":"https:\/\/bankfin.unipi.gr\/mastersbankfin\/en\/courses\/topics-in-quantitative-finance\/","title":{"rendered":"Topics in Quantitative Finance"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"1797\" class=\"elementor elementor-1797\">\n\t\t\t\t<div class=\"elementor-element elementor-element-38a6b92 e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"38a6b92\" 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-0e97fc6 elementor-widget elementor-widget-heading\" data-id=\"0e97fc6\" 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\">Topics in Quantitative Finance<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2103582 elementor-widget elementor-widget-text-editor\" data-id=\"2103582\" 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\u0397334<\/strong><\/p><p><span style=\"color: #00ffff;\"><strong>Part Time<\/strong><\/span> \/\/ 4th Semester, Course Code: <strong>\u039c\u0395\u03a7\u03a1\u0397-\u039c334<\/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-66d83c9 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"66d83c9\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-83c89b8 elementor-widget elementor-widget-n-accordion\" data-id=\"83c89b8\" 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-1380\" 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-1380\" >\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-1380\" class=\"elementor-element elementor-element-2bfcb99 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"2bfcb99\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e385109 elementor-widget elementor-widget-button\" data-id=\"e385109\" 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-cf38660 elementor-widget elementor-widget-button\" data-id=\"cf38660\" 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-6cd61c8 elementor-widget elementor-widget-button\" data-id=\"6cd61c8\" 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-2e51671 elementor-widget elementor-widget-button\" data-id=\"2e51671\" 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-bb2999c e-flex e-con-boxed wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-parent\" data-id=\"bb2999c\" 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-563ce69 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"563ce69\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;full&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-76f1c33 elementor-widget elementor-widget-heading\" data-id=\"76f1c33\" 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-5b64f8f elementor-widget elementor-widget-text-editor\" data-id=\"5b64f8f\" 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>This course is an introduction to the numerical techniques used widely by applied economists in finance. Its main goal is to bridge the gap between financial theory and computational practice. This is accomplished with the use of the programming language Matlab which is a powerful numerical computing environment for financial applications.&nbsp;&nbsp;&nbsp;<\/p>\n<p>Upon successful completion of the course, the students will be able to<\/p>\n<ul>\n<li>know and understand the capabilities and functions of the programming language of Matlab.<\/li>\n<li>develop numerical algorithms in Matlab for pricing financial derivatives and computing their Greek letters with the simulation method of Monte Carlo.<\/li>\n<li>employ variance reduction techniques for the numerical improvement of simulation methods of random numbers.<\/li>\n<li>develop numerical lattice algorithms in Matlab for pricing financial derivatives with the method of Binomial Tree.<\/li>\n<li>construct numerical paths of Geometric Brownian Motion for simulating dynamic risk hedging and pricing path-dependent financial derivatives with the simulation method of Monte Carlo<\/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-593a72e elementor-widget elementor-widget-heading\" data-id=\"593a72e\" 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-340a9e6 elementor-widget elementor-widget-text-editor\" data-id=\"340a9e6\" 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>Search for, analysis and synthesis of data and information by the use of appropriate technologies.<\/li>\n<li>Adapting to new situations.<\/li>\n<li>Decision-making.<\/li>\n<li>Individual\/Independent work.<\/li>\n<li>Group\/Team work.<\/li>\n<li>Working in an interdisciplinary environment.<\/li>\n<li>Introduction of innovative research.<\/li>\n<li>Critical thinking.<\/li>\n<li>Development of free, creative and inductive thinking.<\/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-cf83074 elementor-widget elementor-widget-heading\" data-id=\"cf83074\" 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-343ebb9 elementor-widget elementor-widget-text-editor\" data-id=\"343ebb9\" 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 following sections will be presented:<\/p>\n<ul>\n<li>Introduction to Matlab: Matrices, Basic Functions, Programming (M-files), Diagrams.<\/li>\n<li>Monte Carlo Simulation: Generating Random Numbers, Expected Value Estimation, Pricing of European Options, Number of Replications.<\/li>\n<li>Variance Reduction Techniques: Antithetic Sampling, Control Variates, Common Random Numbers &ndash; Estimation of the Greeks.<\/li>\n<li>Binomial Model Simulation: Construction of Binomial Tree, Pricing of European and American Options.<\/li>\n<li>Simulation of Geometric Brownian Motion: Sources of Errors, Asset Path Generation, Stop-Loss and Delta Hedging Strategies, Pricing of Exotic Options &ndash; Asian, Barrier and Lookback Options.<\/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-f05b561 elementor-widget elementor-widget-heading\" data-id=\"f05b561\" 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-87bc8c8 elementor-widget elementor-widget-text-editor\" data-id=\"87bc8c8\" 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>Project (40%) that includes the development and execution of computational algorithms for pricing and\/or hedging financial derivatives.<\/li>\n<li>Presentation (30%) of the above project.<\/li>\n<li>Coursework (30%) that includes the development and execution of computational algorithms for the numerical solution of problems, subject to the material taught in class.<\/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-5d4c345 elementor-widget elementor-widget-heading\" data-id=\"5d4c345\" 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-f1bfaa5 elementor-widget elementor-widget-text-editor\" data-id=\"f1bfaa5\" 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>Paolo Brandimarte, Numerical Methods in Finance and Economics: A Matlab- Based Introduction, 2<sup>nd<\/sup> Edition, John Wiley &amp; Sons, New York, 2006.<\/li>\n<li>John C. Hall, Options, Futures, And Other Derivatives, 8th Edition, Prentice Hall, New Jersey, 2011.<\/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-9cd2066 e-con-full e-flex wpr-particle-no wpr-jarallax-no wpr-parallax-no wpr-sticky-section-no e-con e-child\" data-id=\"9cd2066\" 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-8f8660f elementor-widget elementor-widget-text-editor\" data-id=\"8f8660f\" 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-22d15eb elementor-widget elementor-widget-heading\" data-id=\"22d15eb\" 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-2f4f990 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=\"2f4f990\" data-element_type=\"widget\" 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