The exemption works on the base, which is why its face value is not what it saves. An exemption of a stated amount removes that much taxable value, and the cash saving is that amount multiplied by the total local rate. The arithmetic is worth doing before treating a headline figure as generous or stingy, and it also explains why the same exemption is worth different amounts in two towns with different rates.
Exemptions come in several structural forms, and the form decides who benefits most. A flat-dollar exemption removes a fixed amount of value from every qualifying home, which is proportionally larger for a modest house. A percentage exemption removes a share of assessed value, which is larger in dollars for an expensive one. Some states instead grant a credit against the computed tax, which bypasses the rate entirely and is not an exemption at all in the technical sense even where the paperwork uses the word. A few reduce only the school-district portion of the bill rather than the whole of it.
The part that is usually worth more than the exemption is the cap that travels with it. In a number of states, claiming the homestead status also limits how fast the assessed value on that property may rise in a year, or freezes it for owners above a stated age. Over a long tenure in a rising market, the compounding effect of a cap dwarfs a one-off reduction in taxable value. The corollary is the part people meet as an unwelcome surprise: the cap is generally released when the property changes hands or loses its owner-occupied status, so a buyer inherits the house and not the seller's tax history, and a family that moves an inherited home into a rental can see the bill jump without anything about the building changing.
Eligibility is about occupancy and ownership on a stated date, and losing either one quietly ends it. Jurisdictions generally require that the claimant own the property and occupy it as a principal residence as of an assessment date, and many require an affirmative statement that no homestead benefit is being claimed anywhere else, including in another state. Renting the property out, moving into care, transferring title into certain trusts or business entities, or claiming a residence-based benefit elsewhere can each end the exemption. Because the benefit renews automatically in many places once granted, it can also continue after eligibility has ended, and a jurisdiction that later discovers this commonly recovers the back tax with interest and a penalty.
The creditor sense, named so that nobody confuses the two. In a bankruptcy case, 11 USC 522 lets a debtor claim exemptions from the estate. Under 522(b)(3)(A) a debtor may claim the exemptions of the state where they were domiciled for the 730 days before filing, and some states require that route rather than allowing the federal list; where the federal list applies, 522(d)(1) covers whatever interest the debtor holds in property that the debtor or a dependent uses as a residence. Two anti-abuse provisions sit on top. Section 522(p)(1) limits what a debtor electing state law may exempt out of any interest acquired during the 1215-day period before filing, with 522(p)(2)(B) protecting equity rolled over from a previous principal residence in the same state and 522(p)(2)(A) exempting a family farmer's principal residence from the limit. Section 522(o) reduces the exemption to the extent its value came from property disposed of in the 10-year period before filing with intent to hinder, delay or defraud a creditor. Underneath all of that, several state constitutions, Texas and Florida the best known, protect a homestead from forced sale in their own right. The dollar amounts in this area are base figures that Congress readjusts periodically, and they vary by state and by which route applies, so no page should recite them. None of this affects a property tax bill, and claiming one has no bearing on the other.