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Spurious correlation: strategy equity curve and the index level

A trader computes that his strategy's equity curve correlates at r=0.96r = 0.96 with the level of the S&P 500 over the same period. He worries his "market-neutral" strategy is secretly just tracking the index.

Why does the 0.96 not show what he fears, and how should he measure his true market exposure?

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