presumptuousness vs audacity

presumptuousness and audacity both are nouns.

Word	Noun	Adjective	Verb	Adverb
presumptuousness	Yes	No	No	No
audacity	Yes	No	No	No

As nouns, audacity is a hypernym of presumptuousness; that is, audacity is a word with a broader meaning than presumptuousness:

presumptuousness: audacious (even arrogant) behavior that you have no right to
audacity: aggressive boldness or unmitigated effrontery

Other hypernyms of presumptuousness include audaciousness.

presumptuousness (noun)	audacity (noun)
audacious (even arrogant) behavior that you have no right to	fearless daring
	aggressive boldness or unmitigated effrontery