presbyopia vs hypermetropy

presbyopia and hypermetropy both are nouns.

Word	Noun	Adjective	Verb	Adverb
presbyopia	Yes	No	No	No
hypermetropy	Yes	No	No	No

As nouns, hypermetropy is a hypernym of presbyopia; that is, hypermetropy is a word with a broader meaning than presbyopia:

presbyopia: a reduced ability to focus on near objects caused by loss of elasticity of the crystalline lens after age 45
hypermetropy: abnormal condition in which vision for distant objects is better than for near objects

Other hypernyms of presbyopia include farsightedness, hypermetropia, hyperopia, longsightedness.

presbyopia (noun)	hypermetropy (noun)
a reduced ability to focus on near objects caused by loss of elasticity of the crystalline lens after age 45	abnormal condition in which vision for distant objects is better than for near objects