closeout vs cut-rate sale

closeout and cut-rate sale both are nouns.

Word	Noun	Adjective	Verb	Adverb
closeout	Yes	No	No	No
cut-rate sale	Yes	No	No	No

As nouns, cut-rate sale is a hypernym of closeout; that is, cut-rate sale is a word with a broader meaning than closeout:

closeout: a sale intended to dispose of all remaining stock
cut-rate sale: an occasion (usually brief) for buying at specially reduced prices

Other hypernyms of closeout include sale, sales event.

closeout (noun)	cut-rate sale (noun)
a sale intended to dispose of all remaining stock	an occasion (usually brief) for buying at specially reduced prices