Comparison Of Pareto Phenomena In Statistics Of Bank Assets In Ukraine, Russia And The U.S

The distribution functions of banks of Ukraine, Russia and USA on assets value at the period of time, including financial crisis of 2008th year are explored. Distributions of Ukrainian and Russian banks correspond to a power law (Pareto phenomenon) with the exponent more then minus two. The exponent in statistics of Ukrainian banks increased monotonously from minus 1,85 (2002) till minus 1,2 (2007) and minus 1,24 (2008) but decreased up to minus 1,5 for two post-crisis years (2009-2010). The exponent of Russian banks was stable in interval minus 1,68 1,63 (2006-2007, 2009-2010) and went up to minus 1,5 only in annum of crisis. The banks of USA present two statistical groups: in the first group of “the middle banks” with assets less then $5-10 bill (2001-2009) the exponent made minus 2,02 2,09 (that much close to canonical value minus 2,0), but in the second group of “the rich banks” the Pareto exponent made about minus 1,5. Conclusion is made that the middle banks of USA are growing “from itself”, using their own assets as ideal constructive resource, while the rich banks USA and all banks of Ukraine and Russia use cheap liquidity for increase their assets. FRS of USA, world financial system and influx of oil-dollars may be considered as the possible sources of this liquidity accordingly. Assets of Ukrainian and Russian banks, as well as of the group of USA rich banks are interpreted as destructive superfluous resource. The criterion of minimal asset of successful bank is offered. The hypothesis is supposed that increased statistical noise of the USA rich banks trend is associated with denouncement of the financial bubbles. A growth of this noise just before the 2008th is noted.