I imagine that basic supply and demand laws would apply. What kind of buy order would it be ? Would it be a strict limit order (ie, don't pay more than X BTC / BQC ? Then the buyer might be able to keep the total price of his purchase down, particularly if it were done over many days in many smaller buys. But if the buy order was not a limit order, I suspect the price of BQC would surge.
http://en.wikipedia.org/wiki/Supply_and_demand