hope vs expectancy

hope and expectancy both are nouns.

Word	Noun	Adjective	Verb	Adverb
hope	Yes	No	Yes	No
expectancy	Yes	No	No	No

As nouns, expectancy is a hypernym of hope; that is, expectancy is a word with a broader meaning than hope:

Other hypernyms of hope include anticipation.

hope (noun)	expectancy (noun)
one of the three Christian virtues	something expected (as on the basis of a norm)
grounds for feeling hopeful about the future	an expectation
the general feeling that some desire will be fulfilled
a specific instance of feeling hopeful
someone (or something) on which expectations are centered

hope (verb)	expectancy (verb)
intend with some possibility of fulfilment
be optimistic; be full of hope; have hopes
expect and wish