Actually, that's known. Bitcoin was born in the 2008 financial crisis (a year later to be precise) as said above, and got away with it pretty neatly. You can look on the charts, it's been one of the astutest investments since the beginning of the crisis. It has also experienced financial cathode, which began in late 2012 IRC and it is now experiencing depression.

The only thing it hasn't yet experienced is prosperity.