I don't know about your area, but in my area the market value and assessment is usually exactly what you paid for the property, at least the first year you own it. Then, the assessment can rise if the property is re-assessed. Here, the assessed value is usually less than the true market value, because assessments are behind. If we get a reassessment that we think is higher than market value, we have the right of appeal. I appealed one of mine and won the appeal because I had market data that proved they were wrong. As I said, I am not familiar with Florida properties, but I believe property taxes are high there because there is no income tax.
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Comments made are my opinion, and not intended to be legal advice of any kind.