I think you will find that what is required is not an actual letter of application for admission to the University, or even to this particular faculty, but information in support of your application: what is motivating you to wish to study business administration; and perhaps also, why are you choosing Uni. of Amsterdam and their Faculty of Business Administration.
However, that does not preclude your closing sentence, thanking them for considering your application, since they will be reviewing all the information as well as this letter.
I will work on the first paragraph for you and post in a little while.
Dear Sir or Madam
I appreciate this opportunity to provide further background information in support of my application for entrance to the International Business Administration program at the University of Amsterdam for the 2008 autumn term.
NOTE: your name and identifiying details should be given at the top of this document so that assessors can identify it at a glance. Your address will be there, so no need to say you live in Isreal. Include your date of birth.
Also, you write, "Since my early years the question of my future university studies and then a profession was very important to me."
Why? I'm wondering whether conditions/employment opportunities/educational opportunities or lack of them weighed heavily here. We are looking for some strong formative influences as to why you have given many years of careful thought to your eventual career. Can you post your thoughts on that?
Before we go any further, you might like to look at these two websites and see how they influence further content of your letter in support:
University of Leicester - SSDS - Careers Service - Applications
HOW TO WRITE A MOTIVATION OR COVER LETTER
Student or Learner