you can have a deflationary depression or an inflationary depression.
Deflationary is when assets prices drop and wealth is destroyed, like the 1930's.
Inflationary is when asset prices go through the roof, people have loaded themselves up in debt and the central bank then decides to pump the system with money so as to prevent the whole system from collapsing. The result is Hyperinflation and the destruction of wealth through the destruction in the value of your money.
I prefer 1930's as to hyperinflation. At least my money will buy me more if prices fall.
