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Surface — skew term structure and the convexity premium

Two shape reads on the S&P 500 option surface. Signal 1 measures how much more the market pays for downside than upside — the skew — at a constant three-month tenor, and looks for the case Imran Lakha singles out: skew bid for puts while the index sits at its highs. Signal 2 measures how much the CBOE volatility index exceeds the plain at-the-money implied at the same tenor, which is the price the market is putting on the wings of the distribution. Both are conditioning variables: they describe the state of the surface and who is carrying risk in it. Neither is an entry trigger, and nothing on this page names a side.

How to use this page — what it answers, how to read the headline numbers, and what would change the read

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Where we are now

Signal 1 · Skew term structure, pinned at three months

the 25-delta risk reversal across every listed expiry, and the divergence between it and where the index is trading

Skew across the listed book — every SPX expiry, today

one point per expiry
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The divergence — how bid the wings are, against where the index is trading

premise-first: the deviation is the signal
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Regression residual — the part of skew the level of the market cannot explain

the sharper instrument
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Skew term structure over time — this app's own forward record

one point per session, from today
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Signal 2 · The convexity premium — CBOE index minus at-the-money implied

what the market pays for the wings, at every tenor CBOE publishes an index for

Convexity premium across the curve — index against at-the-money, four tenors

cross-section, today
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Wing demand over time — the deep proxies, with this app's own premium overlaid

deep proxy + own record
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All of it at a glance

every deep metric against its own history, on one shared colour ramp — the companion to the line charts above

Surface tape — every deep metric against its own history, over time

rows × time
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Every metric on this page, defined

what it measures · how it is computed · what high and low mean · where it sits in its own history — every column sortable

The listed book this was interpolated from

every expiry the chain returned, with the legs each tenor was built from — nothing on this page is an opaque blend

Method, sources and limits