{"id":2557,"date":"2022-07-11T08:17:49","date_gmt":"2022-07-11T08:17:49","guid":{"rendered":"https:\/\/svmanalytics.dk\/artikel-kointegration\/"},"modified":"2022-12-06T20:22:20","modified_gmt":"2022-12-06T20:22:20","slug":"artikel-kointegration","status":"publish","type":"page","link":"https:\/\/svmanalytics.dk\/da\/artikler\/artikel-kointegration\/","title":{"rendered":"Artikel: Kointegration"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2557\" class=\"elementor elementor-2557 elementor-1914\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b3008ce elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b3008ce\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3197eec\" data-id=\"3197eec\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57ad83a elementor-widget elementor-widget-heading\" data-id=\"57ad83a\" 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 - v3.14.0 - 18-06-2023 *\/\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><h1 class=\"elementor-heading-title elementor-size-default\">Sammenspillet mellem den amerikanske og canadiske \u00f8konomi<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-419aa05 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"419aa05\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-f30981c\" data-id=\"f30981c\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-051250e elementor-widget elementor-widget-heading\" data-id=\"051250e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Analyse af tidsserier ved hj\u00e6lp af kointegration<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-e6bee2a\" data-id=\"e6bee2a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-307826b elementor-widget elementor-widget-text-editor\" data-id=\"307826b\" 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 - v3.14.0 - 18-06-2023 *\/\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>Juli 2022<\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-bd2e1dd elementor-widget elementor-widget-text-editor\" data-id=\"bd2e1dd\" 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>Forst\u00e5elsen af hvordan et system af tidsserier relaterer sig til hinanden, er et vigtigt emne inden for flere omr\u00e5der. Kointegrationsanalyse er et effektivt redskab til at afd\u00e6kke sammenh\u00e6nge og langsigtede deterministiske og stokastiske tendenser i et s\u00e5dant system. <\/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-dff4714 elementor-widget elementor-widget-heading\" data-id=\"dff4714\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Beskrivelse af data<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8c74b19 elementor-widget elementor-widget-text-editor\" data-id=\"8c74b19\" 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>Form\u00e5let med dette projekt er at opn\u00e5 en bedre forst\u00e5else af sammenspillet mellem den amerikanske og canadiske \u00f8konomi. Specifikt s\u00f8ger vi at afd\u00e6kke langsigtede tendenser og sammenh\u00e6ngen mellem f\u00f8lgende 5 makro\u00f8konomiske tidsserier<\/p>\n<ul>\n<li>Forbrugerprisindeks (FPI) i Canada og USA<\/li>\n<li>Den lange rente i Canada og USA<\/li>\n<li>Valutakursen mellem CAD og USD<\/li>\n<\/ul>\n<p>Bem\u00e6rk at analysen &#8211; i overensstemmelse med almindelig praksis inden for \u00f8konometri &#8211; gennemf\u00f8res ved hj\u00e6lp af log-transformerede forbrugerprisindeks og valutakurser, mens rentesatserne forbliver utransformerede. Tidsserierne kan ses i f\u00f8lgende figur:<\/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-56ff72d elementor-widget elementor-widget-image\" data-id=\"56ff72d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.14.0 - 18-06-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"448\" src=\"https:\/\/svmanalytics.dk\/wp-content\/uploads\/2022\/07\/cointegration_article-1024x448.png\" class=\"attachment-large size-large wp-image-1937\" alt=\"\" srcset=\"https:\/\/svmanalytics.dk\/wp-content\/uploads\/2022\/07\/cointegration_article-1024x448.png 1024w, https:\/\/svmanalytics.dk\/wp-content\/uploads\/2022\/07\/cointegration_article-300x131.png 300w, https:\/\/svmanalytics.dk\/wp-content\/uploads\/2022\/07\/cointegration_article-768x336.png 768w, https:\/\/svmanalytics.dk\/wp-content\/uploads\/2022\/07\/cointegration_article-1536x672.png 1536w, https:\/\/svmanalytics.dk\/wp-content\/uploads\/2022\/07\/cointegration_article-2048x896.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-724a8cf elementor-widget elementor-widget-heading\" data-id=\"724a8cf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Sammenspillet mellem \u00f8konomierne<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3cf8ad7 elementor-widget elementor-widget-text-editor\" data-id=\"3cf8ad7\" 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>Analysen tyder p\u00e5, at systemet er kointegreret, dvs. at der findes en line\u00e6r kombination af tidsserierne, som er station\u00e6r.<\/p>\n<p>Der er evidens i data for at valutakurs- og renteprocesserne kan betragtes som svagt eksogene, dvs. deres v\u00e6rdier er bestemt uden for modellen. Intuitivt kan en forklaring v\u00e6re, at renteniveauet i h\u00f8j grad dikteres af centralbankerne og bruges som et redskab til f.eks. at fors\u00f8ge at kontrollere inflationen. Forbrugerprisindekset vil derved reagere p\u00e5 justeringer i renteniveauet. FPI-processen indg\u00e5r i kointegrationsrelationen med koefficienter af samme st\u00f8rrelsesorden. Dette er m\u00e5ske ikke s\u00e5 overraskende, da Canada og USA er nabolande med et st\u00e6rkt handelsforhold.<\/p>\n<p>Analyse af et kointegreret system af tidsserier er meget nyttigt til at drage inferens for bedre at forst\u00e5 systemet og dets langsigtede tendenser, samt hvordan de individuelle tidsserier relaterer sig til hinanden. Vi kan derudover ogs\u00e5 bruge en kointegrationsrelation til forecasting. Det kan vi g\u00f8re i og med, at vi kan modellere systemet som en Vector Error Correction Model (VECM), hvor lagged v\u00e6rdier af error correction st\u00f8rrelserne kan bruges til at forecaste differens-tidsserierne.<\/p>\n<p>Kointegrationsanalyse er s\u00e5ledes et effektivt v\u00e6rkt\u00f8j, n\u00e5r vi har at g\u00f8re med et system af integrerede tidsserier. <\/p>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Sammenspillet mellem den amerikanske og canadiske \u00f8konomi Analyse af tidsserier ved hj\u00e6lp af kointegration Juli 2022 Forst\u00e5elsen af hvordan et system af tidsserier relaterer sig til hinanden, er et vigtigt emne inden for flere omr\u00e5der. Kointegrationsanalyse er et effektivt redskab til at afd\u00e6kke sammenh\u00e6nge og langsigtede deterministiske og stokastiske tendenser i et s\u00e5dant system. Beskrivelse &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/svmanalytics.dk\/da\/artikler\/artikel-kointegration\/\"> <span class=\"screen-reader-text\">Artikel: Kointegration<\/span> L\u00e6s mere &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2560,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","footnotes":""},"class_list":["post-2557","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Artikel: Kointegration - svmAnalytics<\/title>\n<meta name=\"description\" content=\"svmAnalytics er en dansk konsulentvirksomhed inden for aktuarservice og Data Science. 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