Your local tax assessor or a real estate agent may have the information. The executor of the estate may have done an appraisal. The home may have appreciated tremendously or not at all before the sale and after the passing. You can add selling expenses to the basis.
Missouri is undergoing changes with their capital gains. It has been lowered and may cease to exist soon.
Reference: SB46 - Authorizes an income tax deduction for capital gains
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