{"id":660,"date":"2020-06-27T10:55:41","date_gmt":"2020-06-27T10:55:41","guid":{"rendered":"https:\/\/ricovictor.com\/?p=660"},"modified":"2020-06-28T18:14:50","modified_gmt":"2020-06-28T18:14:50","slug":"econometria-de-series-de-tiempo-cointegracion","status":"publish","type":"post","link":"https:\/\/ricovictor.com\/index.php\/2020\/06\/27\/econometria-de-series-de-tiempo-cointegracion\/","title":{"rendered":"Econometr\u00eda de series de tiempo: Cointegraci\u00f3n en Stata."},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"660\" class=\"elementor elementor-660\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d60bd7e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d60bd7e\" 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-100 elementor-top-column elementor-element elementor-element-fa34ce1\" data-id=\"fa34ce1\" 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-cf80707 elementor-widget elementor-widget-spacer\" data-id=\"cf80707\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\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-4104c8d elementor-widget elementor-widget-text-editor\" data-id=\"4104c8d\" 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>Cuando se trabaja con <strong>series de tiempo<\/strong> para realizar pron\u00f3sticos econ\u00f3micos o financieros, parte importante\u00a0 de lo que se que se debe revisar es si las series de tiempo son <strong>estacionarias (o al menos d\u00e9bilmente estacionarias)<\/strong> o no <a href=\"https:\/\/ricovictor.com\/index.php\/2020\/04\/02\/estacionariedad-definicion-y-test-para-detectarla-en-r\/\">estacionarias<\/a>. Si una serie de tiempo es no estacionaria, los pron\u00f3sticos no ser\u00e1n acertados. Claro est\u00e1 que hay otras t\u00e9cnicas que se pueden utilizar cuando tu serie de tiempo no es estacionaria. Sin embargo en esta ocasi\u00f3n el tema que se va a abordar es la <a href=\"https:\/\/ricovictor.com\/index.php\/2020\/04\/27\/cointegracion-en-acciones\/\"><strong>cointegraci\u00f3n<\/strong><\/a>.<\/p><p>La <strong>cointegraci\u00f3n<\/strong> se refiere al an\u00e1lisis de regresi\u00f3n lineal con variables de series de tiempo que no son estacionarias, y por lo cu\u00e1l los resultados no tendr\u00edan validez o<strong> significancia estad\u00edstica<\/strong>. Lo anterior implica que se trataria de una regresion espuria o sin sentido entre las variables. Sin embargo es posible que estas variables se puedan someter a la <strong>diferenciaci\u00f3n<\/strong> para conseguir la estacionariedad y puedan compartir una tendencia en com\u00fan, s\u00ed esto es as\u00ed,\u00a0 la relaci\u00f3n entre ambas no ser\u00eda espuria o insignificante. Es por ello que se pueden realizar pruebas de cointegraci\u00f3n para saber si existe una <strong>relaci\u00f3n de largo plazo, o de equilibrio<\/strong> entre las variables.<\/p>\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<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aefc28d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aefc28d\" 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-100 elementor-top-column elementor-element elementor-element-b9768fd\" data-id=\"b9768fd\" 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-0c46ec3 elementor-widget elementor-widget-image\" data-id=\"0c46ec3\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"498\" height=\"227\" src=\"https:\/\/ricovictor.com\/wp-content\/uploads\/2020\/06\/Proceso-Estacionario.png\" class=\"attachment-large size-large wp-image-662\" alt=\"\" srcset=\"https:\/\/ricovictor.com\/wp-content\/uploads\/2020\/06\/Proceso-Estacionario.png 498w, https:\/\/ricovictor.com\/wp-content\/uploads\/2020\/06\/Proceso-Estacionario-300x137.png 300w\" sizes=\"(max-width: 498px) 100vw, 498px\" \/>\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-574b812 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"574b812\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\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<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2f4f988 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2f4f988\" 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-top-column elementor-element elementor-element-91d1757\" data-id=\"91d1757\" 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-297088d elementor-widget elementor-widget-text-editor\" data-id=\"297088d\" 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>\ud83d\udc49 En resumen, una manera de saber si las variables est\u00e1n <strong>cointegradas<\/strong> o no, es estimando el <strong>t\u00e9rmino del error<\/strong> y revisar si \u00e9ste es estacionario o no. Si encuentras que el error es estacionario, se puede decir que las variables est\u00e1n cointegradas, de lo contrario se tratar\u00eda, efectivamente, de una relaci\u00f3n espuria. \u00c9sto puede ser muy \u00fatil en campos como las <a href=\"https:\/\/ricovictor.com\/index.php\/multicointegracion\/\">finanzas<\/a> para estudiar el comportamiento de los <strong>activos financieros<\/strong> y sus relaciones.\u00a0<\/p><p>Por ejemplo en el mercado de <a href=\"https:\/\/ricovictor.com\/index.php\/carteras-de-inversion\/\">acciones<\/a> o en el <strong>mercado de Divisas(Forex)<\/strong> donde los movimientos de los pares de divisas est\u00e1n muy interconectados.<\/p>\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<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-d00100d\" data-id=\"d00100d\" 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-9047113 elementor-widget elementor-widget-image\" data-id=\"9047113\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"699\" height=\"397\" src=\"https:\/\/ricovictor.com\/wp-content\/uploads\/2020\/05\/cointegracion-divi.png\" class=\"attachment-large size-large wp-image-613\" alt=\"\" srcset=\"https:\/\/ricovictor.com\/wp-content\/uploads\/2020\/05\/cointegracion-divi.png 699w, https:\/\/ricovictor.com\/wp-content\/uploads\/2020\/05\/cointegracion-divi-300x170.png 300w\" sizes=\"(max-width: 699px) 100vw, 699px\" \/>\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\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1276b58 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1276b58\" 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-100 elementor-top-column elementor-element elementor-element-f7476ea\" data-id=\"f7476ea\" 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-6987a74 elementor-widget elementor-widget-spacer\" data-id=\"6987a74\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\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-c1fc1d9 elementor-button-info elementor-align-center elementor-widget elementor-widget-button\" data-id=\"c1fc1d9\" 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-lg\" href=\"https:\/\/ricovictor.com\/index.php\/multicointegracion\/\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon elementor-align-icon-left\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"far fa-arrow-alt-circle-right\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t<span class=\"elementor-button-text\">CURSO GRATIS DE COINTEGRACI\u00d3N EN FOREX <\/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-4e61c43 elementor-widget elementor-widget-spacer\" data-id=\"4e61c43\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\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-217e657 elementor-widget elementor-widget-text-editor\" data-id=\"217e657\" 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>El procedimiento que debemos seguir para detectar la estacionariedad en los errores y por tanto determinar si existe o no cointegraci\u00f3n es el siguiente:<\/p><p><strong>Paso 1. Correr la regresi\u00f3n<\/strong><\/p><p><strong>Paso 2. Calcular el t\u00e9rmino del error,<\/strong><\/p><p><strong>Paso 3. Correr una regresi\u00f3n con el termino del error diferenciado y un rezago.<\/strong><\/p><p><strong>Paso 4. Hacer la prueba de ra\u00edz unitaria al error para saber si es estacionario o no.<\/strong><\/p><p>En caso de que el error no sea estacionario, puedes incluir la variable de tendencia para conseguirlo.<\/p><p>\ud83e\uddd0\ud83e\uddd0 Para que puedas ver todo con m\u00e1s claridad en el <strong>siguiente v\u00eddeo<\/strong> tienes un ejemplo pr\u00e1ctico usando el <strong>software Stata,<\/strong> que te servir\u00e1 para entender mucho mejor todo el procedimiento.<\/p>\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<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5d440a6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5d440a6\" 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-100 elementor-top-column elementor-element elementor-element-b6d60e2\" data-id=\"b6d60e2\" 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-16b9a65 elementor-view-default elementor-widget elementor-widget-icon\" data-id=\"16b9a65\" data-element_type=\"widget\" data-widget_type=\"icon.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-icon-wrapper\">\n\t\t\t<div class=\"elementor-icon\">\n\t\t\t<i aria-hidden=\"true\" class=\"far fa-arrow-alt-circle-down\"><\/i>\t\t\t<\/div>\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-b6ac3ab elementor-widget elementor-widget-video\" data-id=\"b6ac3ab\" data-element_type=\"widget\" data-settings=\"{&quot;youtube_url&quot;:&quot;https:\\\/\\\/www.youtube.com\\\/watch?v=lbN3cAUrMaw&amp;fbclid=IwAR07UcYAICVK_RfLNzwszzHHld2ymL6G0C6DgkaYxFOg6QbmdIR2i6EiJNQ&quot;,&quot;video_type&quot;:&quot;youtube&quot;,&quot;controls&quot;:&quot;yes&quot;}\" data-widget_type=\"video.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-wrapper elementor-open-inline\">\n\t\t\t<div class=\"elementor-video\"><\/div>\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<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8ac1b61 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8ac1b61\" 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-100 elementor-top-column elementor-element elementor-element-2e56a48\" data-id=\"2e56a48\" 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-191f42f elementor-widget elementor-widget-spacer\" data-id=\"191f42f\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\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-4c6e35d elementor-widget elementor-widget-text-editor\" data-id=\"4c6e35d\" 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><em><strong>Si te interesa la econometr\u00eda y la estad\u00edstica aqu\u00ed tienes el canal de Youtube de Lul\u00fa Cuellar ,donde encontrar\u00e1s muchos m\u00e1s v\u00eddeos y tutoriales \ud83d\ude00\ud83d\ude00<\/strong><\/em><\/p><p><em><strong>https:\/\/www.youtube.com\/channel\/UC25LYleJ9taa5CTcEGvE_0A\/featured<\/strong><\/em><\/p>\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>Cuando se trabaja con series de tiempo para realizar pron\u00f3sticos econ\u00f3micos o financieros, parte importante&nbsp; de lo que se que se debe revisar es si las series de tiempo son estacionarias (o al menos d\u00e9bilmente estacionarias) o no estacionarias. Si una serie de tiempo es no estacionaria, los pron\u00f3sticos no ser\u00e1n acertados. Claro est\u00e1 que &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/ricovictor.com\/index.php\/2020\/06\/27\/econometria-de-series-de-tiempo-cointegracion\/\"> <span class=\"screen-reader-text\">Econometr\u00eda de series de tiempo: Cointegraci\u00f3n en Stata.<\/span> Leer m\u00e1s &raquo;<\/a><\/p>\n","protected":false},"author":3,"featured_media":665,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","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":"","astra-migrate-meta-layouts":"","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[2],"tags":[82],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Econometr\u00eda de series de tiempo: Cointegraci\u00f3n en Stata. - V\u00edctor A. Rico \u2014 Econometr\u00eda y Finanzas Cuantitativas<\/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:\/\/ricovictor.com\/index.php\/2020\/06\/27\/econometria-de-series-de-tiempo-cointegracion\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Econometr\u00eda de series de tiempo: Cointegraci\u00f3n en Stata. - V\u00edctor A. Rico \u2014 Econometr\u00eda y Finanzas Cuantitativas\" \/>\n<meta property=\"og:description\" content=\"Cuando se trabaja con series de tiempo para realizar pron\u00f3sticos econ\u00f3micos o financieros, parte importante&nbsp; de lo que se que se debe revisar es si las series de tiempo son estacionarias (o al menos d\u00e9bilmente estacionarias) o no estacionarias. Si una serie de tiempo es no estacionaria, los pron\u00f3sticos no ser\u00e1n acertados. Claro est\u00e1 que &hellip; Econometr\u00eda de series de tiempo: Cointegraci\u00f3n en Stata. Leer m\u00e1s &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ricovictor.com\/index.php\/2020\/06\/27\/econometria-de-series-de-tiempo-cointegracion\/\" \/>\n<meta property=\"og:site_name\" content=\"V\u00edctor A. 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