TemekuT: It sounds like you got a voluntary reassessment for your property value as of January of this year (for tax payments due in Dec. and next April). It does NOT sound like this is a response to your appeal.
We must be careful about the dates here because it gets tricky. Your appeal, presumably filed last November, was based on your claimed value as of January of that year. I believe you have not yet got an answer on that. Expect a call from the Assessor’s office with an offer to compromise. If you don’t agree, then you are entitled to a hearing.
