optimism vs hope

optimism and hope both are nouns.

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

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

optimism (noun)	hope (noun)
a general disposition to expect the best in all things	one of the three Christian virtues
the optimistic feeling that all is going to turn out well	grounds for feeling hopeful about the future
	the general feeling that some desire will be fulfilled
	a specific instance of feeling hopeful
	someone (or something) on which expectations are centered

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