I changed my Apple ID but Calendar did not change

I have a MacBook Pro using OX X Yosemite 10.10.2.

A few months changed my Apple ID. My "Internet Accounts" iCloud account is correct in System Preferences. In Calendar, however, my account still shows my old Apple ID, and the only apparent way to change, delete or add the iCloud account Calendar uses is via the same Internet Accounts account that is already correct.

In other words, my Calendar app is not synchronizing with iCloud like it should, even though Contacts and Reminders are. I've run out of options to try to change the Calendar app to use the correct Apple ID. Any suggestions are welcomed.