Non-resident indirect investments

[PaulWilmot]

I have about $10k here.

The thing is i never bought (traded) US $ for euro because i never actually gave it that much of a thought. This dragged since 2005 and it turns out i actually lost money due to currency ratio (US $ vs €). i dropped down for an unpleasant 30% in terms of euro vs $.

My question is, since i am coming to US in november, what can i do with that money (in a bag).
I am non resident, my valid ID is going to be my passport.
1) Can i open a savings account?
2) Can i open a trading account?
3) If i bring cash (in bills) with me can i get into trouble with customs?
4) Do i have to pay income tax if i make money with trading or tax from interest?

NOTE: i am also big finance n00b so terminology might not be accurate + english not my native

[scott1]

10k is the limit -

"There is no limit on the total amount of monetary instruments that may be brought into or taken out of the United States, nor is it illegal to do so. However, if you transport or cause to be transported (including by mail or other means), more than $10,000 in monetary instruments on any occasion into or out of the United States, or if you receive more than that amount, you must file a report (Customs Form 4790) with U.S. Customs."

http://www.foreignborn.com/visas_imm...nfo-nonres.htm