Amy’s preference for “euros” over “euro’s” is right on – there is a reason why we don’t generally condone putting apostrophes in non-possessive plural nouns.
“euro’s” logically means “euro is” or that euro (a person, place or thing) owns something.
If there is any way at all to omit an apostrophe from a non-possessive plural noun, please do so.
“dollar” might even be capitalized… I’m not sure if that’s the proper way to write it.
Which sounds better?
a) What is the dollar’s status?
or
b) What is the dollar status?
“Dollar status” might be taken to mean the amount of money you’ve got.
“What’s your dollar status, pal?”
“Eh, I wish I had more!”
So in referring to the Dollar, as in the currency and its value versus other currencies, I’d use “Dollar’s status” (or with a lower-case d, if that is acceptable).