detriment vs expense

detriment and expense both are nouns.

Word	Noun	Adjective	Verb	Adverb
detriment	Yes	No	No	No
expense	Yes	No	Yes	No

As nouns, expense is a hyponym of detriment; that is, expense is a word with a more specific, narrower meaning than detriment:

detriment (noun)	expense (noun)
a damage or loss	a detriment or sacrifice
	amounts paid for goods and services that may be currently tax deductible (as opposed to capital expenditures)
	money spent to perform work and usually reimbursed by an employer

detriment (verb)	expense (verb)
	reduce the estimated value of something