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Notebook: replicate VIX on SPX historical, match ±0.5 pts #3

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Description

@obchain

Scope: research/vix-spx-replication.ipynb.

Input: published SPX option chain snapshots + published VIX values (CBOE historical).

Implement: forward, K₀, OTM strip, variance integral, 30d interp.

Validate: computed VIX vs published VIX, target |diff| ≤ 0.5 across 30+ historical days.

Acceptance:

  • notebook runs end-to-end
  • error histogram + RMSE printed
  • ≥95% of days within ±0.5
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