<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with Wdesk from Workiva-->
<!--Copyright 2020 Workiva-->
<!--r:a00df63b-c242-49b0-a216-6fc478723d65,g:bd8b3111-d1ce-41c6-a785-646bbc0ba2f9-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:roleRef roleURI="http://www.intlfcstone.com/role/CoverDocument" xlink:type="simple" xlink:href="intl-20201216.xsd#CoverDocument"/>
  <link:calculationLink xlink:role="http://www.intlfcstone.com/role/CoverDocument" xlink:type="extended"/>
</link:linkbase>
