The dilemma which is presented in this article is connected with problem of excessive for a currency. The discussion is based on South Eastern European country case, which is the Albania and its currency - Lek. This currency has a very low marketability outside Albania and a pretty short history in the currency exchange market, during which it had experienced high fluctuations. But we should accept that after the 2000's, our national currency began to reach relatively constant ratios with the main currencies on the exchange market. This stability has fulfilled the normalization picture of the macroeconomic parameters, which were so much unstable during the fast essential changes that happened in the first years of transition. In this article we will try to present the real position of the Albanian currency in the Albanian exchange market.