U.S. investors should be concerned about the outcome of Scotland's vote on independence, former Goldman Sachs Asset Management Chairman Jim O'Neill said Thursday.

"Given everything you know about the last six years, people have to be worried about things going really badly wrong," he said. "So, any American investor that's got investments in what is today the U.K., if for some reason it is a 'yes,' there are certainly all sorts of complex risks to deal with."