Wait. The "black market dollar rate" is the real price of the dollar. You should not compare with the official dollar price, because that price is totally bogus. You should use the black market dollar price as comparison. What's the BTC premium when you consider the black market dollar for the comparison?
If by "real" you mean "international", that's probably not true. Considering the risks and trouble involved in black market trading, the black market dollar should have a significant markup.