The tax rate determines the taxes, not the assessment. Many homes have the same assessment for years on end, yet the taxes rise each year like the tide before a hurricane.
You can ignore the property assessment for the most part, it is not indicative of the value of a home or its present or future taxes.
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For example, if ratio is $30 per $1,000 of assessed value, then an $100,000 property, would have a $3,000 bill. So when they needed more money, they just made the ratio be higher than $30, and thereby increase the tax bill.
One reason taxes go up on a particular property results from recent improvements. Your best info will come directly from the town tax assessor in respect to questions on specific properties.
Aberdeen's taxes have always been a bit on the higher side, but the homes are priced lower for what you get in comparison to neighboring towns. It sounds as if you like Aberdeen & you have been looking in that town for a while since you noticed the same active listings from months back have higher taxes. I would suggest you call the tax collector in Aberdeen & ask them what is going on with the taxes. They will be happy to tell you & it is best to hear 1st hand so that you know before you buy.