Populate tokens when Scheduled Reminders are set to Record Activity for Automated Email

From http://civicrm.stackexchange.com/questions/17425/how-to-populate-the-tokens-used-for-a-scheduled-reminder-in-the-activity

Scheduled Reminders allow one to "Record activity for automated email" which is great. But if tokens are used in the Reminder, these are not populated in the Activity that is created. So the user has no idea what information was sent out.