Despite the rapid growth in its offshore business, the real prize lies in managing money onshore as China gradually opens up the wealth management sector to foreign banks, Lui said. UBS hopes to work with the Chinese clients it serves in Hong Kong to manage more of their assets held in China, she added.

"These clients usually have 20 percent of their wealth with us and the other 80 percent is in China," she said. "This is a very big opportunity to capture."

This article was provided by Bloomberg News.

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