presence of mind vs will power

presence of mind and will power both are nouns.

Word	Noun	Adjective	Verb	Adverb
presence of mind	Yes	No	No	No
will power	Yes	No	No	No

As nouns, will power is a hypernym of presence of mind; that is, will power is a word with a broader meaning than presence of mind:

presence of mind: self-control in a crisis; ability to say or do the right thing in an emergency
will power: the trait of resolutely controlling your own behavior

Other hypernyms of presence of mind include possession, self-command, self-control, self-possession, self-will, willpower.

presence of mind (noun)	will power (noun)
self-control in a crisis; ability to say or do the right thing in an emergency	the trait of resolutely controlling your own behavior