Options analysis (lens)

Definition

The options lens evaluates what derivatives markets say and do: implied volatility as the market’s priced expectation of movement, the greeks as measures of exposure, skew and term structure as the shape of priced risk, and options positioning as a window into how participants are exposed. It serves two roles — analyzing options as instruments, and using options-market information to inform theses on the underlying.

How it works / structure

• Inputs: option chains (ms-option-chain) with bids, asks, open interest, and volume across strikes and expirations.
• Core operations: back out implied volatility from prices (opt-implied-volatility, via Black-Scholes-class models), compute greeks (greek-delta … greek-rho), normalize IV against its own history (opt-iv-rank-percentile), read the surface (skew, term structure), and derive expectations (opt-expected-move) and positioning measures (opt-put-call-ratio, indicator-options-flow).
• Output shape: priced expectations and exposures — “the market prices a ±6% move through earnings”, “front-month IV is at the 15th percentile of its year” — all computable, all thesis-usable.

When it applies

Whenever an instrument has a liquid listed options market: before scheduled events (priced expected move vs a thesis’s expected move), when volatility itself is the thesis (rich vs cheap IV against realized), for strategy selection (pillar 4 options strategies), and around expiration mechanics (event-opex). Thin chains make every reading unreliable — liquidity checks come first.

Risk profile & failure modes

• Model dependence: IV and greeks are model outputs; inputs (rates, dividends, American-exercise handling) shift them.
• Liquidity illusion: wide markets in low-volume chains make mid-price IV readings and flow measures noisy or meaningless.
• Flow ambiguity: volume does not reveal intent — a large call print can be opening or closing, a hedge or a directional view.
• Instrument-level risk: option positions carry defined mechanics (assignment, expiration, pin risk) that the OCC disclosure document covers; strategy entries carry per-structure failure modes.

Evidence & limits

The Black-Scholes-Merton framework (Black and Scholes 1973) is the foundation of listed-option pricing and greek computation; its known empirical deviations (volatility smile/skew) are themselves informative data (opt-volatility-skew). A documented regularity: implied volatility on average exceeds subsequently realized volatility in equity index options — the volatility risk premium — though it is not constant and reverses in stress. Cremers and Weinbaum (2010) found deviations from put-call parity carried modest predictive content for underlying returns. Claims that specific “unusual options activity” patterns reliably predict stock moves are unproven in the public literature and treated as folklore here.

Falsifiable-thesis examples

Illustrations only, not signals:

• “X’s realized move through its next earnings report will be smaller than the straddle-implied expected move measured the day before” — falsified if the close-to-close move exceeds the priced move.
• “Front-month 30-delta put IV on Y will fall at least 10 volatility points within 30 days” — falsified if no such decline occurs.

Cross-references

• Pillar 3 math: greek-delta, greek-gamma, greek-theta, greek-vega, greek-rho, opt-implied-volatility, opt-iv-rank-percentile, opt-volatility-skew, opt-term-structure, opt-expected-move
• Instruments and mechanics: instrument-option-contract, ms-option-chain, ms-expiration-exercise-assignment
• Adjacent lenses: lens-sentiment (positioning), lens-risk (exposure measurement), lens-event-catalyst (event-priced expectations)