discount rate vs bank discount

discount rate and bank discount both are nouns.

Word	Noun	Adjective	Verb	Adverb
discount rate	Yes	No	No	No
bank discount	Yes	No	No	No

As nouns, discount rate and bank discount are synonyms defined as:

discount rate and bank discount: interest on an annual basis deducted in advance on a loan

Other synonyms of discount rate include discount.

discount rate (noun)	bank discount (noun)
interest on an annual basis deducted in advance on a loan	interest on an annual basis deducted in advance on a loan
the rate of interest set by the Federal Reserve that member banks are charged when they borrow money through the Federal Reserve System