WordNet records no synonym and no antonym for central bank. 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.
a government monetary authority that issues currency and regulates the supply of credit and holds the reserves of other banks and sells new issues of securities for the government
Synonyms, antonyms and the broader and narrower relations for central bank come from Princeton University’s WordNet. Full sources and licences.