WordNet records no synonym and no antonym for net estate. It is the only member of its synset, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
the estate remaining after debts and funeral expenses and administrative expenses have been deducted from the gross estate; the estate then left to be distributed (and subject to federal and state inheritance taxes)
Synonyms, antonyms and the broader and narrower relations for net estate come from Princeton University’s WordNet. Full sources and licences.