Puzzle: How much money to bring

Solve this one:

You were going to enter into a 20 stories building…

In every floor there is a guard…

To every guard you will pay a half of the money you brought, then the guard will gave you change of Php1.00.

Question: what is the minimum money that you would bring so that you can reach the top floor of the building having  Php2.00 left?

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Who am I?

LETS SEE HOW FAST YOU CAN SOLVE THIS:

I am a five letter word.

If my first letter is removed i come above you

If my first two letters are removed I am still around you

HINT:  I am used for your comfort

 

 

 

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