Wheel

Definition

The wheel is a cycle of the two premium-collection structures on one underlying: write cash-secured puts until assigned; once assigned, write covered calls on the delivered shares until they are called away; return to writing puts. Every phase is net-long the underlying and short volatility; the “wheel” is sequencing, not a new payoff.

How it works / structure

• Phase 1: cash-secured puts (strategy-cash-secured-put) at parameterized delta/DTE until assignment.
• Phase 2: covered calls (strategy-covered-call) on the assigned shares — strike selection relative to the assignment basis is the key parameter (above basis preserves the exit at a gain; below basis harvests more premium but can lock in a stock loss if called).
• Phase 3: assignment of the call returns the position to cash; the cycle restarts.
• Parameters (engine-executable): put delta/DTE, call delta/DTE, call-strike floor rule (e.g. never below basis), IV gate per phase (iv_rank), roll rules per phase (mgmt-rolling), and a stop condition for abandoning the cycle (thesis break on the underlying).
• Accounting discipline: cycle P&L = all premiums + stock P&L across assignment/call-away, marked continuously — premium-only accounting hides stock drawdowns.

When it applies

Underlyings the account is content to hold outright at the put strikes (the wheel is a stock-accumulation discipline with income, not a stock-avoidance one), in conditions where both put and call premium are adequately priced. Every phase presumes the underlying remains fundamentally acceptable — the cycle has no defined-risk leg.

Risk profile & failure modes

• The stock is the risk: a deep decline during phase 2 leaves the account long shares far below basis, with call premium at usable strikes collapsed; the wheel’s failure mode is identical to owning a falling stock, discovered late.
• Below-basis call trap: writing calls under the basis to keep income flowing converts a paper stock loss into a realized one on assignment.
• Cycle survivorship illusion: wheels reported as “never lost” typically stopped counting when a name broke down and was abandoned — labeled folklore; full-cycle accounting is the platform’s requirement.
• Capital efficiency: the cash reserve and assigned shares tie up full notional; returns must be judged on that base.

Evidence & limits

No published academic study evaluates “the wheel” as a unit; its components have index-level evidence (Whaley 2002 for buy-write; Ungar-Moran 2009 for put-write), both driven by the volatility risk premium with crash-concentrated losses. Claims that the cycle outperforms its components, or equity ownership generally, are unproven — the platform treats the wheel as a parameterized sequence whose replay evidence is generated per underlying.

Falsifiable-thesis examples

Illustrations only, not signals:

• “A full wheel cycle on X (0.30-delta puts, 0.30-delta calls, never below basis) will realize positive total P&L including stock marks over the next two quarters in replay” — falsified by the cycle accounting.
• “X will not close more than 20% below the initial put strike at any point during the cycle window” — falsified by the price series.

Cross-references

• Components: strategy-cash-secured-put, strategy-covered-call
• Management: mgmt-assignment-handling, mgmt-rolling, mgmt-profit-target
• Math and gates: greek-theta, opt-iv-rank-percentile
• Accounting/risk: risk-max-drawdown-budget