And, according to , over the next 8 to 10 years the outflow of those jobs overall is likely to cease "as companies simply run out of business services jobs suitable for moving to low-cost countries."

offshoring research examines data on 4,700 U.S. and European companies with $1 billion or more in annual revenue, finding that a total of 2.3 million jobs in finance, IT, procurement, and HR will have moved offshore by 2016. That includes nearly 800,000 finance jobs.

The research shows that the 2.3 million represents about a third of all jobs in these areas, and notes that India is by far the most popular destination, with nearly 40% of the offshored jobs heading there.

But along the way, in 2014 the picture changes, according to the research, with the 150,000-job-a-year outflow -- including 66,000 in finace -- leveling off or declining then.