By Spencer Jakab 

If Daniel Loeb had gotten his way early this year, the chief executive of Sotheby's would have been going, going, gone by now.

Since then, a rapprochement between the activist manager of hedge fund Third Point and the auction house has made the owners one big, happy family. They would be a lot happier, though, if Sotheby's share price were higher; it has trailed the S&P 500 by 27 percentage points this year.

Unlike art, investment performance isn't in the eye of the beholder. Sotheby's had vigorously denied some of Mr. Loeb's charges, such as that it is spending too much money, and said it already was taking steps he recommended on other fronts, such as boosting online auctions.

Even supposing Mr. Loeb's campaign to shake up the company was much ado about nothing, the resolution shouldn't have left the stock worth less than when it was raging. But it is.

An obvious culprit for this would be near-term profit expectations, but those look fine. Analysts expect Sotheby's on Friday to report earnings per share of $1.40 for the second quarter, up from $1.33 in the same period a year before. That is about what was predicted last fall.

A more likely reason concerns long-term expectations. Despite inking an agreement with eBay Inc. to sell Picassos alongside Pikachus, the ebb and flow of the auction business is tied to the fortunes of rich people. In booming 2007, for example, Sotheby's and Christie's had a combined $11 billion in auction sales. Two years later, these were less than half as much amid a global recession.

The impact on a business with bills to pay rain or shine is stark. Sotheby's fell to a per-share loss of 10 cents in 2009 from a profit of $3.25 in 2007. Likewise, between frothy 1999 and rocky 2002, the bottom line fell from a profit of 56 cents a share to a loss of 89 cents.

Even with 2014's estimated earnings down 27% from 2007's result, the stock trades at what seems like a reasonable 17 times. Considering the extreme cyclicality of the business, though, that modest price tag is about right.

So Sotheby's stock isn't likely to catch many higher bids--and Mr. Loeb may enter a blue period.

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