Can you rename a picklist value and have it appear on an Analytic report?

I have a business unit picklist and one of the business unit's has changed their name.  All the previous records, workflows, and reports should now be equal to the new business unit name.  Changing the picklist value will make most of these changes automatically through the entire CRM (except any hard coded formulas).

My challenge though is that after making the change to the business unit name on Friday, as of today (Tuesday), all the Analytic reports (those requiring an overnight refresh) show the previous business unit name.  Will these values change automatically?  If so, when?  If not, is there anything I can do to change these values so they appear correctly on the 24 hour refresh reports?