That's quite right. There's an annual report to Congress on this exact question--that is, on the amount of money damages that have been awarded against the state sponsors of terrorism. Against Cuba and Iran, which have been the two most popular targets of these lawsuits, over $10 billion in judgments have been awarded against these countries as of 2007—although there were also some awards against Syria and Sudan.
On April 30th, 2009. See this statement in context.