"My guess is that they're at an all-time high, and it would be a great time to sell," Katherine Galligan, a retailer analyst at Dallas-based research firm Aperion Group, tells GSR. "Luxury has never been better."

Galligan would not estimate how much Neiman could trade hands for, but she said that there are a number of different suitors that could be interested in the company. Saks Inc. could show interest in order to buy out its main competitor, but it would depend on how many stores the two chains have in close proximity. May Department Stores or Federated Department stores could show interest, in order to get a stronger foothold in the luxury market. But since those two companies are already in an $11 billion merger, it could be a difficult transaction, she said.

The acquisition of Neiman by a wholesale company, similar to Jones Apparel's $400 million purchase of the Barneys New York chain last year, would be less likely, Galligan said. "Barneys is tiny compared to Neiman," she said. However, "nothing would really surprise me," Galligan acknowledged.