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The Reconfiguration Premium: Co-movement Structure as an Unspanned Dimension of the Variance Risk Premium

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  • Lucas Carvalho

Abstract

Hedge ratios, factor models and diversified portfolios all rest on an estimate of which firms move together. That estimate is not stable: firms migrate between the groupings the market treats as coherent, and when enough migrate the organizing axes of the cross-section turn. We measure the rate of that turning as the mean squared sine of the principal angles between subdominant eigenspaces of consecutive twelve-month S&P 500 correlation matrices. A typical month rewrites a fifth of the structure and carries four-fifths forward. That rate is priced: it couples to the aggregate variance risk premium at t = 5.40, no level measure correlates above 0.32, and the implied-correlation surface spans at most 6.7 percent of it. Only the persistent component is priced - the premium compensates the pace of revision, not the distance traveled. The mechanism is prepayment: implied variance rises on impact, volatility follows two to three quarters later (simulated-null p

Suggested Citation

  • Lucas Carvalho, 2026. "The Reconfiguration Premium: Co-movement Structure as an Unspanned Dimension of the Variance Risk Premium," Papers 2608.20020, arXiv.org.
    • Handle: RePEc:arx:papers:2608.20020
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