By Spencer Jakab 

It was dollars to doughnuts that a new chief executive would accentuate the positive.

Tony Thompson, who assumed the top role at Krispy Kreme Doughnuts Inc. in June, did just that when the company unveiled disappointing fiscal second-quarter results back in September. Some of Mr. Thompson's initiatives, such as a focus on beverages and loyalty cards, taking a page out of the playbooks of Dunkin Brands Group Inc. and Starbucks Corp., could give a fillip to revenue. Ditto for a partnership selling branded coffee pods with Keurig Green Mountain Inc.

But there remain plenty of reasons to be cautious about quarterly numbers--particularly given the volatility of the stock in the session following earnings releases. Over the past five years, the median move in the stock has been 9%, positive or negative, including five occasions when it fell by at least 15%.

The numbers might be more flattering this time around. Krispy Kreme on Tuesday is expected to report earnings of 12 cents a share for the fiscal third quarter ended in early November compared with 9 cents in the like period a year earlier, according to analysts polled by FactSet.

Those reported numbers are a good deal lower than the adjusted figures Krispy Kreme emphasizes, which include the benefit of deferred tax assets. On a reported basis, Krispy Kreme trades at 43.1 times the current fiscal year's projected earnings compared with 29.7 times for Dunkin and 26.1 times for Starbucks.

At the end of the second quarter, Krispy Kreme had 884 stores globally, 12% more than a year earlier with the bulk of the expansion in international franchise operations. But, beneath that impressive glaze, there has been a worrying slowdown in customer traffic. International franchises saw a 2.8% drop in same-store sales in the past six months versus the equivalent period a year earlier.

And rising dependence on international franchisees from countries such as Mexico, South Korea and Saudi Arabia--which have seen their currencies depreciate meaningfully relative to the dollar recently--raises the likelihood that fiscal fourth-quarter earnings guidance might get clipped.

Having dropped in the session after fiscal second-quarter results were released, the stock has rallied by 19% in the past three months. There is a risk of crashing from that sugar high.

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