You really can't blame Argentines for wanting their money outside of the country, can you? First, the Argentine government does everything to undermine confidence in the Peso so Argentines look to keep their money in Dollars. Second, the Argentine government decided, at will, to swap Argentines Dollars kept in bank accounts for Pesos to be repaid at some point in the future.
The reasons Argentines want their money abroad is not very hard to understand. It is never good to have two currencies running at the same time in a country but it is 100% the fault of the Argentine government. Please don't come back and argue it was a previous government. That argument has absolutely no weight.
Its not that they always had a government like this. They had, er, they imposed their governments along the XXth century, permitting everything they like to be done. Its not like one decade, it was from 1955 to 1983 at least, plus the 1989-1999 done by thier people. As you read, during the convertibilidad, Menem took the economists from this important economic groups and made them work "for the country". (shall I talk of the results?)
Besides making everything they wanted happen, we had a phenomena called "extranjerizacion del capital", which means, simply, that the argentine upper classes that owned a medium or large companie SOLD EVERYTHING TO CHILEANS, BRASILIANS AND AMERICANS!! Thats right, having a government on your side, instead of choosing investing in their country, they choose to sold everything and take the money outside the country. And it was not only one government, just that the last one, Menem, made everything they requested, economic measures like eliminate inflation, take debt, privatisations and even politically like indulto to the militars of the dictatorship...
This is the first government in decades that has a pro-industry mark, that do not take debt, that in general goes against the big capital and for the people (taking people out of poverty, important social plans, etc)...
There are lots of analysts that say that the problem of Argentina, the most important, is their upper classes. Unlike Chile, or Mexico, or Brazil, the upper classes dont believe in a huge country, they bet always against the country, they want a depressed, small economy. Thye dont like an important economy, an important internal market, a industrial country... Maybe thats because the several experiences of peronismo of having the lower classes with political power, like having them too close, so what they do strategically is defend the distance. Argentina is a very compact society, the most in Latin America with Uruguay, social differences arent that big, a lot less than in the countries mentioned above, the distances are relatively small...