Since 2006, the earliest data available, Russian individuals have sent nearly $200 billion out of the country—or more than 10 percent of the country's gross domestic product for 2013.

Russian central bankers have been frantically trying to stem a further collapse of the national currency, including a surprise move this week to jack up interest rates to 17 percent. The hope is that those higher rates will bring more hard cash back into Russia—or keep it from leaving.

But the data show that Russians have been sending their money outside the country for years. And the flow of cash has accelerated in the last year, up from $5.9 billion in the first quarter of 2013 to $13.4 billion in the third quarter of this year, the latest data available.