wrap up vs shroud

wrap up is not a noun while shroud is a noun.

Word	Noun	Adjective	Verb	Adverb
wrap up	No	No	Yes	No
shroud	Yes	No	Yes	No

As verbs, shroud is a hyponym of wrap up; that is, shroud is a word with a more specific, narrower meaning than wrap up:

Other hyponyms of wrap up include do up, parcel, cere, shrinkwrap, gift-wrap.

wrap up (noun)	shroud (noun)
	burial garment in which a corpse is wrapped
	(nautical) a line (rope or chain) that regulates the angle at which a sail is set in relation to the wind
	a line that suspends the harness from the canopy of a parachute

wrap up (verb)	shroud (verb)
clothe, as if for protection from the elements	wrap in a shroud
form a cylinder by rolling	cover as if with a shroud
finish a task completely	form a cover like a shroud
arrange or fold as a cover or protection