One of the fund's small-cap components is Textainer.
"It's a play on the trade routes between Asia and the Middle East and Europe, which are particularly strong right now," Auxier told CNBC.
He acknowledged that the well-managed firm could falter if international trade slows, but right now, it's the No. 1 company in the global shipping-container industry.
Another small-cap stock in Auxier's fund is MoneyGram International, a money-transfer business that draws on a customer base from the "190 million people that live outside their countries of origin, transferring money back."