In the response, an S&P official said Siegel's argument "fails the test of both logic and index mathematics."

David Blitzer, S&P's managing director and index committee chair, argued in his letter that, where earnings are concerned, market capitalization is irrelevant.

"A dollar earned or lost is the same irrespective of whether it is earned or lost by a big index constituent or a smaller one," he argued.

Turning Siegel's example on its head, Blitzer pointed out that if Exxon-Mobil earned $10 billion, and Jones Apparel lost $10 billion, investors would bear a proportionate share of each regardless of market cap.

The correct way to look at S&P 500 earnings, Blitzer said, is to look at the index as a single company with 500 divisions.

"The smallest of these divisions could have an outsized loss that wipes out the combined earnings of the entire company," he said. "Claiming that these losses should be ignored or minimized because they came from a less valuable division is flawed."

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