{"id":110178,"date":"2021-11-09T10:25:00","date_gmt":"2021-11-09T15:25:00","guid":{"rendered":"https:\/\/ibkrcampus.com\/?p=110178"},"modified":"2022-11-21T09:49:09","modified_gmt":"2022-11-21T14:49:09","slug":"czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis","status":"publish","type":"post","link":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/","title":{"rendered":"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis"},"content":{"rendered":"\n<p id=\"h-excerpt\"><strong><em>Excerpt<\/em><\/strong><\/p>\n\n\n\n<p>In quantitative finance we are used to measuring direct&nbsp;<strong>linear correlations<\/strong>&nbsp;or&nbsp;<a href=\"https:\/\/quantatrisk.com\/2016\/12\/01\/non-linear-cross-bi-correlations-oil-prices-stock-fundamentals-python\/\" rel=\"noreferrer noopener\" target=\"_blank\">non-linear cross-bicorrelations<\/a>&nbsp;among various time-series. For the former, by default, one adopts the calculation of Pearson product-moment&nbsp;<strong>correlation coefficients<\/strong>&nbsp;to quantify a linear relationship between two vectors. This is true if the the data follow Gaussian distribution. In other case, the rank correlation methods need to be applied (e.g. Spearman\u2019s or Kendall\u2019s). A good diversification of assets kept in the investment portfolio often benefits from correlation measures. We want to limit the risk of losing too much due to highly correlated (co-moving in the same direction) assets. While correlation measures of any kind are powerful tools in finance, can it be something better than that?<\/p>\n\n\n\n<p>Remarkably, this is a quantitative biology that delivers new weapon to the table. Biologists love in-depth data analyses and devoted lots of time to the studies of biological samples. The samples can be far different in their origin or composition, however when it comes to counting, comparing and classifying, the language of mathematics standing behind has, luckily, the same denominator with the analysis of financial data samples.<\/p>\n\n\n\n<p>In biology people are more inclined towards talking about&nbsp;<strong>similarities<\/strong>, thus similarity metrics. Similarity metrics \u2014 also referred to as correlation metrics \u2014 are applied to two or more objects (e.g. DNA sequences, etc.). The similarity metric will&nbsp;<em>quantify an association<\/em>&nbsp;the objects have with each other. This quantification could be a variety of measurements, such as how often the objects are involved in a similar process, how likely the objects are to appear in the same location, etc. The value representing the quantified correlation is often referred to as the&nbsp;<strong>similarity coefficient<\/strong>, or the correlation coefficient. This similarity coefficient is a real-valued number that describes to what extent the objects are related.<\/p>\n\n\n\n<p><em>Visit <strong>Quant at Risk <\/strong>to learn about the theory of Pearson\u2019s and Spearman\u2019s correlation coefficients,  and to download sample&nbsp;<strong>Python code<\/strong>&nbsp;illustrating the functionality based on&nbsp;<strong>39-Crypto-Asset Portfolio<\/strong>&nbsp;during micro flash-crash in May 2021:<br><\/em><a href=\"https:\/\/quantatrisk.com\/2021\/10\/27\/czekanowski-index-similarity-correlation-asset-portfolio-analysis-python\/\">https:\/\/quantatrisk.com\/2021\/10\/27\/czekanowski-index-similarity-correlation-asset-portfolio-analysis-python\/<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.<\/p>\n","protected":false},"author":710,"featured_media":110199,"comment_status":"closed","ping_status":"open","sticky":true,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[339,343,349,338],"tags":[10613,10614,10612,10615,10609,4166,10611,10610],"contributors-categories":[13732],"class_list":{"0":"post-110178","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-data-science","8":"category-programing-languages","9":"category-python-development","10":"category-ibkr-quant-news","11":"tag-applied-risk-management","12":"tag-crypto-finance","13":"tag-czekanowski-index-based-similarity","14":"tag-linear-correlations","15":"tag-pearsons-coefficient","16":"tag-portfolio-management","17":"tag-similarity-coefficient","18":"tag-spearmans-coefficient","19":"contributors-categories-quant-at-risk"},"pp_statuses_selecting_workflow":false,"pp_workflow_action":"current","pp_status_selection":"publish","acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.9 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis<\/title>\n<meta name=\"description\" content=\"In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.interactivebrokers.com\/campus\/wp-json\/wp\/v2\/posts\/110178\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis | IBKR Quant Blog\" \/>\n<meta property=\"og:description\" content=\"In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/\" \/>\n<meta property=\"og:site_name\" content=\"IBKR Campus US\" \/>\n<meta property=\"article:published_time\" content=\"2021-11-09T15:25:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-11-21T14:49:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"900\" \/>\n\t<meta property=\"og:image:height\" content=\"549\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Dr. Pawel Lachowicz\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. Pawel Lachowicz\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\n\t    \"@context\": \"https:\\\/\\\/schema.org\",\n\t    \"@graph\": [\n\t        {\n\t            \"@type\": \"NewsArticle\",\n\t            \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/#article\",\n\t            \"isPartOf\": {\n\t                \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/\"\n\t            },\n\t            \"author\": {\n\t                \"name\": \"Dr. Pawel Lachowicz\",\n\t                \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#\\\/schema\\\/person\\\/5097d856a095fc59920af69437fb1797\"\n\t            },\n\t            \"headline\": \"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis\",\n\t            \"datePublished\": \"2021-11-09T15:25:00+00:00\",\n\t            \"dateModified\": \"2022-11-21T14:49:09+00:00\",\n\t            \"mainEntityOfPage\": {\n\t                \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/\"\n\t            },\n\t            \"wordCount\": 364,\n\t            \"publisher\": {\n\t                \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#organization\"\n\t            },\n\t            \"image\": {\n\t                \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/#primaryimage\"\n\t            },\n\t            \"thumbnailUrl\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2021\\\/11\\\/code-quant.jpg\",\n\t            \"keywords\": [\n\t                \"Applied Risk Management\",\n\t                \"Crypto Finance\",\n\t                \"Czekanowski Index-Based Similarity\",\n\t                \"linear correlations\",\n\t                \"Pearson\u2019s coefficient\",\n\t                \"portfolio management\",\n\t                \"Similarity coefficient\",\n\t                \"Spearman\u2019s coefficient\"\n\t            ],\n\t            \"articleSection\": [\n\t                \"Data Science\",\n\t                \"Programming Languages\",\n\t                \"Python Development\",\n\t                \"Quant\"\n\t            ],\n\t            \"inLanguage\": \"en-US\"\n\t        },\n\t        {\n\t            \"@type\": \"WebPage\",\n\t            \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/\",\n\t            \"url\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/\",\n\t            \"name\": \"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis | IBKR Quant Blog\",\n\t            \"isPartOf\": {\n\t                \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#website\"\n\t            },\n\t            \"primaryImageOfPage\": {\n\t                \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/#primaryimage\"\n\t            },\n\t            \"image\": {\n\t                \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/#primaryimage\"\n\t            },\n\t            \"thumbnailUrl\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2021\\\/11\\\/code-quant.jpg\",\n\t            \"datePublished\": \"2021-11-09T15:25:00+00:00\",\n\t            \"dateModified\": \"2022-11-21T14:49:09+00:00\",\n\t            \"description\": \"In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.\",\n\t            \"inLanguage\": \"en-US\",\n\t            \"potentialAction\": [\n\t                {\n\t                    \"@type\": \"ReadAction\",\n\t                    \"target\": [\n\t                        \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/\"\n\t                    ]\n\t                }\n\t            ]\n\t        },\n\t        {\n\t            \"@type\": \"ImageObject\",\n\t            \"inLanguage\": \"en-US\",\n\t            \"@id\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/ibkr-quant-news\\\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\\\/#primaryimage\",\n\t            \"url\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2021\\\/11\\\/code-quant.jpg\",\n\t            \"contentUrl\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2021\\\/11\\\/code-quant.jpg\",\n\t            \"width\": 900,\n\t            \"height\": 549,\n\t            \"caption\": \"Quant\"\n\t        },\n\t        {\n\t            \"@type\": \"WebSite\",\n\t            \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#website\",\n\t            \"url\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/\",\n\t            \"name\": \"IBKR Campus US\",\n\t            \"description\": \"Financial Education from Interactive Brokers\",\n\t            \"publisher\": {\n\t                \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#organization\"\n\t            },\n\t            \"potentialAction\": [\n\t                {\n\t                    \"@type\": \"SearchAction\",\n\t                    \"target\": {\n\t                        \"@type\": \"EntryPoint\",\n\t                        \"urlTemplate\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/?s={search_term_string}\"\n\t                    },\n\t                    \"query-input\": {\n\t                        \"@type\": \"PropertyValueSpecification\",\n\t                        \"valueRequired\": true,\n\t                        \"valueName\": \"search_term_string\"\n\t                    }\n\t                }\n\t            ],\n\t            \"inLanguage\": \"en-US\"\n\t        },\n\t        {\n\t            \"@type\": \"Organization\",\n\t            \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#organization\",\n\t            \"name\": \"Interactive Brokers\",\n\t            \"alternateName\": \"IBKR\",\n\t            \"url\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/\",\n\t            \"logo\": {\n\t                \"@type\": \"ImageObject\",\n\t                \"inLanguage\": \"en-US\",\n\t                \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#\\\/schema\\\/logo\\\/image\\\/\",\n\t                \"url\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2024\\\/05\\\/ibkr-campus-logo.jpg\",\n\t                \"contentUrl\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/wp-content\\\/uploads\\\/sites\\\/2\\\/2024\\\/05\\\/ibkr-campus-logo.jpg\",\n\t                \"width\": 669,\n\t                \"height\": 669,\n\t                \"caption\": \"Interactive Brokers\"\n\t            },\n\t            \"image\": {\n\t                \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#\\\/schema\\\/logo\\\/image\\\/\"\n\t            },\n\t            \"publishingPrinciples\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/about-ibkr-campus\\\/\",\n\t            \"ethicsPolicy\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/cyber-security-notice\\\/\"\n\t        },\n\t        {\n\t            \"@type\": \"Person\",\n\t            \"@id\": \"https:\\\/\\\/ibkrcampus.com\\\/campus\\\/#\\\/schema\\\/person\\\/5097d856a095fc59920af69437fb1797\",\n\t            \"name\": \"Dr. Pawel Lachowicz\",\n\t            \"sameAs\": [\n\t                \"https:\\\/\\\/quantatrisk.com\\\/\"\n\t            ],\n\t            \"url\": \"https:\\\/\\\/www.interactivebrokers.com\\\/campus\\\/author\\\/pawellachowicz\\\/\"\n\t        }\n\t    ]\n\t}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis","description":"In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.interactivebrokers.com\/campus\/wp-json\/wp\/v2\/posts\/110178\/","og_locale":"en_US","og_type":"article","og_title":"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis | IBKR Quant Blog","og_description":"In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.","og_url":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/","og_site_name":"IBKR Campus US","article_published_time":"2021-11-09T15:25:00+00:00","article_modified_time":"2022-11-21T14:49:09+00:00","og_image":[{"width":900,"height":549,"url":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg","type":"image\/jpeg"}],"author":"Dr. Pawel Lachowicz","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Dr. Pawel Lachowicz","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"NewsArticle","@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/#article","isPartOf":{"@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/"},"author":{"name":"Dr. Pawel Lachowicz","@id":"https:\/\/ibkrcampus.com\/campus\/#\/schema\/person\/5097d856a095fc59920af69437fb1797"},"headline":"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis","datePublished":"2021-11-09T15:25:00+00:00","dateModified":"2022-11-21T14:49:09+00:00","mainEntityOfPage":{"@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/"},"wordCount":364,"publisher":{"@id":"https:\/\/ibkrcampus.com\/campus\/#organization"},"image":{"@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/#primaryimage"},"thumbnailUrl":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg","keywords":["Applied Risk Management","Crypto Finance","Czekanowski Index-Based Similarity","linear correlations","Pearson\u2019s coefficient","portfolio management","Similarity coefficient","Spearman\u2019s coefficient"],"articleSection":["Data Science","Programming Languages","Python Development","Quant"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/","url":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/","name":"Czekanowski Index-Based Similarity as Alternative Correlation Measure in N-Asset Portfolio Analysis | IBKR Quant Blog","isPartOf":{"@id":"https:\/\/ibkrcampus.com\/campus\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/#primaryimage"},"image":{"@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/#primaryimage"},"thumbnailUrl":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg","datePublished":"2021-11-09T15:25:00+00:00","dateModified":"2022-11-21T14:49:09+00:00","description":"In quantitative finance we are used to measuring direct\u00a0linear correlations\u00a0or\u00a0non-linear cross-bicorrelations\u00a0among various time-series.","inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.interactivebrokers.com\/campus\/ibkr-quant-news\/czekanowski-index-based-similarity-as-alternative-correlation-measure-in-n-asset-portfolio-analysis\/#primaryimage","url":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg","contentUrl":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg","width":900,"height":549,"caption":"Quant"},{"@type":"WebSite","@id":"https:\/\/ibkrcampus.com\/campus\/#website","url":"https:\/\/ibkrcampus.com\/campus\/","name":"IBKR Campus US","description":"Financial Education from Interactive Brokers","publisher":{"@id":"https:\/\/ibkrcampus.com\/campus\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ibkrcampus.com\/campus\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/ibkrcampus.com\/campus\/#organization","name":"Interactive Brokers","alternateName":"IBKR","url":"https:\/\/ibkrcampus.com\/campus\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/ibkrcampus.com\/campus\/#\/schema\/logo\/image\/","url":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2024\/05\/ibkr-campus-logo.jpg","contentUrl":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2024\/05\/ibkr-campus-logo.jpg","width":669,"height":669,"caption":"Interactive Brokers"},"image":{"@id":"https:\/\/ibkrcampus.com\/campus\/#\/schema\/logo\/image\/"},"publishingPrinciples":"https:\/\/www.interactivebrokers.com\/campus\/about-ibkr-campus\/","ethicsPolicy":"https:\/\/www.interactivebrokers.com\/campus\/cyber-security-notice\/"},{"@type":"Person","@id":"https:\/\/ibkrcampus.com\/campus\/#\/schema\/person\/5097d856a095fc59920af69437fb1797","name":"Dr. Pawel Lachowicz","sameAs":["https:\/\/quantatrisk.com\/"],"url":"https:\/\/www.interactivebrokers.com\/campus\/author\/pawellachowicz\/"}]}},"jetpack_featured_media_url":"https:\/\/www.interactivebrokers.com\/campus\/wp-content\/uploads\/sites\/2\/2021\/11\/code-quant.jpg","_links":{"self":[{"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/posts\/110178","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/users\/710"}],"replies":[{"embeddable":true,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/comments?post=110178"}],"version-history":[{"count":0,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/posts\/110178\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/media\/110199"}],"wp:attachment":[{"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/media?parent=110178"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/categories?post=110178"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/tags?post=110178"},{"taxonomy":"contributors-categories","embeddable":true,"href":"https:\/\/ibkrcampus.com\/campus\/wp-json\/wp\/v2\/contributors-categories?post=110178"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}