kestrel.markets
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A typed, token-efficient language + runtime for agentic trading: agents author bounded plans, the runtime fires them at the tick. CLI + typed library + MCP server.
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TypeScript
/**
* # fill/model — the FillModel seam: a floor judge and a ceiling judge (RUNTIME §6)
*
* One seam sits under every mode of grading: `FillModel.assess(order, leg, ctx) → { fill?,
* pFill, kind }`. Every plan **and the structural null cross the same fill model**, so
* strategies are compared on fills, not on fill assumptions (ARCHITECTURE §4). A fill model
* never returns a bare boolean — it returns a definite floor `fill?` (present only when the
* conservative strict-cross rule fires) *and* a per-assessment probability `pFill` the engine
* accumulates for expected-value accounting.
*
* Two implementations, deliberately a floor and a ceiling:
*
* - {@link StrictCrossV1} — the **floor judge**. A resting order fills only when the tape
* quote strictly crosses its price (a BUY fills iff the leg's ask moves *strictly below*
* the resting price; symmetric for a SELL vs the bid). Same-price never fills; a dark side
* never fills. `pFill ∈ {0, 1}`. Conservative by construction — it under-counts fills, so a
* strategy that clears it clears any honest model.
*
* - {@link MakerFairV1} — the **ceiling judge**. Strict-cross ∪ a calibrated hazard of being
* filled while resting at/near `fair`. The hazard **parameters are injected as a typed data
* object** (a constructor arg): calibration is versioned *input*, not code. The shipped
* default ({@link MAKER_FAIR_DEFAULT_HAZARD}) is clearly labelled **uncalibrated** — it
* exists to make the model runnable, never to assert a fill rate.
*
* Both are pure functions of their arguments (no wall clock, no RNG — RUNTIME §0). All time
* enters as `ctx.dtSinceLast` (milliseconds since this order's previous assessment), injected
* by the engine from the bus clock.
*/
import type { OptionQuote, Right } from "../bus/index.ts";
import type { FillSupport } from "../support/index.ts";
export type { FillSupport } from "../support/index.ts";
export { isCalibratedSupport } from "../support/index.ts";
import { type Moneyness } from "./guarded-intent.ts";
export { classifyMoneyness, MONEYNESS_ATM_BAND, MONEYNESS_DEEP_OTM_FRAC, SELL_FAR_OTM_CAP, BUY_FAR_OTM_CROSSING, } from "./guarded-intent.ts";
export type { Moneyness } from "./guarded-intent.ts";
/** The order fields a fill model reads — a defined-risk, single option leg at a resting
* price. `px` is the resting limit; the strike/right locate the leg on the book. */
export interface FillOrderView {
readonly side: "buy" | "sell";
readonly qty: number;
/** The resting limit price. A floor fill always fills *at this price* (RUNTIME §6). */
readonly px: number;
readonly strike: number;
readonly right: Right;
/** Coarse moneyness vs the underlier, for the directional far-OTM guard.
* Absent ⇒ symmetric legacy path (guard cannot fire). */
readonly moneyness?: Moneyness;
/** `true` when this leg is the **covering wing of a multi-leg defined-risk package** (a
* vertical / condor / fly that fills as a combo, anchored by its near leg). A covered far-OTM
* short is NOT the standalone-offer fantasy, so the sell-far-OTM cap does not apply to it
* (penalizing it would kill every defined-risk spread). Default (absent /
* `false`) ⇒ standalone. */
readonly covered?: boolean;
}
/** Everything a model needs beyond the order and the book leg: the engine's ExecutionFair
* for this leg (absent when unbuildable — the model then falls back to the floor only) and
* the time since this order's previous assessment (ms, injected — RUNTIME §0). */
export interface FillAssessCtx {
/** ExecutionFair for the leg (`@fair`), when the engine could build it. Absent ⇒ dark. */
readonly fair?: number;
/** Milliseconds since this order was last assessed. `0` on the first look after placement
* or on a same-timestamp update; negative inputs are treated as `0` (causal, never
* rewound). */
readonly dtSinceLast: number;
}
/** A single assessment. `fill` is the **definite floor outcome** — present only when the
* conservative strict-cross rule fires (then `pFill` is `1`). When `fill` is absent, `pFill`
* is the **per-assessment** probability the engine folds into a survival product for E[$]
* accounting. `kind` names why (`"cross"`, `"hazard"`, `"no-cross"`, `"no-fair"`).
*
* `episodeKey` opts a model into **per-episode** (not per-look) accrual: when present the engine
* folds `pFill` into the survival product **only when the key changes** from the order's last
* accrued episode (a fresh resting stint), and contributes nothing on a same-key re-look — a
* Bernoulli per resting EPISODE rather than a per-second hazard. Absent ⇒ the legacy per-look
* (time-integrated) accrual. */
export interface FillAssessment {
readonly fill?: {
readonly qty: number;
readonly px: number;
};
readonly pFill: number;
readonly kind: string;
readonly episodeKey?: string;
/** The per-assessment **support flag** ({@link FillSupport}): is this cell
* covered by realized live data (`"calibrated"`) or priced off the offline ceiling with no live
* anchor (`"extrapolated"`)? A structural strict-cross outcome is `"calibrated"` (a price-priority
* fact, not an extrapolation); an uncalibrated hazard cell and the far-OTM-offer / dark-level-lift
* internalization regions are `"extrapolated"`. A grader **REFUSES to bank expected-$ from an
* extrapolated cell** ({@link isCalibratedSupport}) so strategies cannot hill-climb into
* uncalibrated corners of the fill model. Optional/additive: a missing flag is treated
* conservatively downstream (not bankable). */
readonly support?: FillSupport;
}
/** How a model stamps its calibration on a grade (RUNTIME §6 / ADR-0006: every grade stamps
* its judge). A pure floor model has none; a hazard model carries its versioned data. */
export interface FillCalibration {
readonly version: string;
readonly calibrated: boolean;
}
/**
* One thing this fill model (the judge) **structurally could NOT observe** — a stable machine `code`
* plus an honest human `note` (a57.4). Each is a documented structural fact of the model, not a
* fabrication, so a downstream consumer cannot OVER-CLAIM realism the judge never had. This is the exact
* shape the Blotter's fidelity `self_limitation` carries; the model DECLARES it (rather than a downstream
* name-string lookup guessing it), so a calibrated model can never be silently mislabelled.
*/
export interface FillLimit {
/** A stable, lexical machine token for the limit (e.g. `no-queue-position`). */
readonly code: string;
/** The honest human phrasing of what the judge could not see. */
readonly note: string;
}
/** {@link StrictCrossV1}'s self-limitation: the shared tape limits + it credits a fill ONLY on a strict
* tape cross (a conservative floor; no passive/maker fills). */
export declare const STRICT_CROSS_LIMITS: readonly FillLimit[];
/** The maker-fair judges' self-limitation: the shared tape limits + a MODELED passive fill near fair (not
* an observed execution). Shared by {@link MakerFairV1} and the CALIBRATED {@link MakerFairCalV1}: both
* observe the same recorded top-of-book tape and both model passive fills, so the calibrated judge DERIVES
* its declaration from here rather than falling through to an "unstated" fail-closed default. */
export declare const MAKER_FAIR_LIMITS: readonly FillLimit[];
/** The one seam. Implementations are pure; time is injected via {@link FillAssessCtx}. */
export interface FillModel {
readonly name: string;
readonly version: string;
/** The calibration data behind this model, when it has any (stamped on reports). */
readonly calibration?: FillCalibration;
/** What this judge structurally could NOT observe (a57.4) — declared by the model itself, in a stable
* order, so it rides the graded META and reaches the Blotter's fidelity stamp WITHOUT a downstream
* name-string lookup that could silently mislabel a calibrated model. */
readonly self_limitation: readonly FillLimit[];
assess(order: FillOrderView, leg: OptionQuote, ctx: FillAssessCtx): FillAssessment;
}
/**
* The strict-cross floor rule (RUNTIME §6) — a QUOTE cross **or** a TRADE-through print, the two
* deterministic, calibration-free ways the recorded tape hands a resting order a definite fill:
*
* - **Quote cross.** A resting BUY fills iff the leg's ask is present and **strictly below** the
* resting price; a resting SELL iff the bid is present and **strictly above** it. Same-price is
* *not* a cross (`<` / `>`, never `≤` / `≥`); a dark side (`null`) never crosses.
* - **Trade-through** (kestrel-9gu.9). A resting BUY also fills when a trade **prints at or
* through** its price (`leg.last ≤ px`); a resting SELL when `leg.last ≥ px`. RUNTIME §6 defines
* strict-cross on "trade prints/quotes moving through the level" — `OptionQuote.last` carries
* those prints, yet no fill path read it (the 9gu.9 gap). A print AT the resting level is a real
* execution the passive order shared, so it is at-or-through (`≤`/`≥`), not the strict `<`/`>` of
* the quote rule. Deterministic and immediately bankable (a recorded print, not a modeled hazard).
*
* **Same-price doctrine split vs spot (kestrel-0gnb).** The two arms read a same-price *trade
* print* differently, and its spot sibling {@link ../fill/spot.ts spotStrictCross} reads it the
* OTHER way: this options arm is *at-or-through* (a fresh print AT the level fills), while the spot
* arm is strictly-through (`<`/`>`) and REFUSES same-price, because the quote-less catalog tapes
* leave queue position unknowable there whereas the option tape's fresh `last` is an execution the
* passive order shared. Both are floor-legal; spot is strictly the more conservative reading. The
* two share the `strict-cross` judge NAME, so an option-vs-equity comparison under one stamp must
* key the same-price rule on the arm, not the name. (Reconciling the two would be a semantics
* change needing its own review.)
*
* **Freshness is the ENGINE's contract, not this function's.** The tape converter carries `last`
* forward session-cumulatively (99%+ of last-bearing leg-events on the recorded tapes are stale
* carries), and a pure per-look rule cannot tell a fresh execution from a morning print an
* afternoon order never interacted with. {@link ../fill/engine.ts SimFillEngine} owns the
* cross-event print memory and hands `assess` a leg whose `last` is PRESENT only when the print
* CHANGED on this event (fresh; a first sighting is inert). This function therefore treats a
* present `last` as fresh — a caller that bypasses the engine must gate freshness itself.
*
* Either condition is a definite fill, always AT the resting price (RUNTIME §6). This is the
* conservative core all three models share (both call sites strict-cross-first).
*/
export declare function strictCross(order: FillOrderView, leg: OptionQuote): boolean;
/**
* Apply the directional far-OTM asymmetry to a **symmetric** maker hazard `pSym` — the LEGACY
* positional adapter, retained so existing direct callers keep one call shape. It builds a
* {@link GuardedIntent} and delegates to {@link guardedPfill} (fill/guarded-intent), which is the
* single owner of the cap decision; this function adds NO logic of its own. New code on the fill path
* consumes `guardedPfill(pSym, guardedIntentOf(order))` directly.
*/
export declare function directionalPfill(pSym: number, opts: {
readonly isBuy: boolean;
readonly moneyness?: Moneyness | undefined;
readonly covered?: boolean | undefined;
}): number;
/** The floor judge: fills only on a strict tape cross, at the resting price, with
* `pFill ∈ {0, 1}`. It ignores `fair` and time entirely — the most conservative honest
* model. */
export declare class StrictCrossV1 implements FillModel {
readonly name = "strict-cross";
readonly version = "v1";
readonly self_limitation: readonly FillLimit[];
assess(order: FillOrderView, leg: OptionQuote, _ctx: FillAssessCtx): FillAssessment;
}
/**
* Hazard parameters for {@link MakerFairV1} — **versioned calibration data, injected as a
* constructor argument, never hard-coded logic.** A resting maker order near `fair` gets
* filled by passing flow at a per-second hazard rate that decays as the order rests further
* from fair. Calibrating this against realized live fills produces a new record with a new
* `version`; EVs across versions do not naively compare (RUNTIME §6).
*/
export interface MakerFairHazardParams {
/** Calibration identity, stamped on every grade. */
readonly version: string;
/** `false` for any set not fit to realized fills — the shipped default is `false`. */
readonly calibrated: boolean;
/** Fill hazard **per second** at zero edge (resting exactly at fair). */
readonly baseHazardPerSec: number;
/** The relative-edge e-folding scale: at `edgeRel = edgeScale` the hazard rate is `1/e` of
* its at-fair value. `edgeRel = |px − fair| / max(|fair|, fairFloor)`. */
readonly edgeScale: number;
/** Floor for the fair denominator, so a near-zero fair does not explode the relative
* edge. */
readonly fairFloor: number;
}
/**
* The shipped default hazard set — **UNCALIBRATED**. It exists only so `maker-fair-v1` is
* runnable out of the box; it asserts no real fill rate. A live-fit calibration file replaces
* it as versioned input (RUNTIME §6). `calibrated: false` is what a report stamps.
*/
export declare const MAKER_FAIR_DEFAULT_HAZARD: MakerFairHazardParams;
/**
* The per-assessment fill hazard: `1 − exp(−λ(edge)·dt)`, with `λ(edge) = baseHazardPerSec ·
* exp(−edgeRel / edgeScale)`. Monotone **increasing** in `dtMs` (longer at rest ⇒ more likely
* to have been hit) and **decreasing** in `edgeRel` (further from fair ⇒ less flow interacts).
* A non-positive `dtMs` yields `0` (no time elapsed, no hazard). Pure. The exponentials are the
* vendored {@link dexp}, not `Math.exp`, so the hazard is bit-identical across V8/JSC on the
* certified-grade path (see {@link ../fair/detmath.ts}).
*/
export declare function makerFairHazard(params: MakerFairHazardParams, edgeRel: number, dtMs: number): number;
/**
* The ceiling judge: strict-cross ∪ a hazard of being filled while resting at/near `fair`.
* On a strict cross it returns a definite floor fill (`pFill = 1`). Otherwise, if `fair` is
* available, it returns the per-assessment hazard as `pFill` (no `fill`); with no `fair` it
* degrades to the floor only (`pFill = 0`) — conservative, fail-closed.
*/
export declare class MakerFairV1 implements FillModel {
readonly name = "maker-fair";
readonly version = "v1";
readonly self_limitation: readonly FillLimit[];
readonly params: MakerFairHazardParams;
constructor(params?: MakerFairHazardParams);
get calibration(): FillCalibration;
assess(order: FillOrderView, leg: OptionQuote, ctx: FillAssessCtx): FillAssessment;
}
/** The per-side constants of the {@link EpisodeSigmoidParams} form. `uStar` is `null` on a
* saturated side (the sigmoid degenerates to the constant `rho`). */
export interface EpisodeSigmoidSide {
readonly alpha: number;
readonly uStar: number | null;
readonly rho: number;
readonly floor: number;
readonly saturated: boolean;
readonly internalizationFloor: number;
}
/**
* The `episode-sigmoid-u-v1` fill-hazard form — **versioned calibration DATA** loaded from a
* private JSON, never hard-coded numbers. A resting order's per-episode fill probability is a
* sigmoid in the **side-signed aggression axis** `u = a / halfSpread`, where `a = px − fair`
* for a BUY and `a = fair − px` for a SELL (u<0 passive, 0 at-fair, >0 crossed) and `halfSpread`
* is the leg's current `(ask − bid)/2`:
*
* `p(u) = floor + (rho − floor)·sigmoid(alpha·(u − u_star))`
*
* A **saturated** side (alpha≈0 ⇒ SELL) degenerates to the constant `p = rho`. A **dark / one-
* sided** book (no half-spread, so `u` is undefined) is a LEVEL lift: `p = internalizationFloor`
* (a lone-bid/PFOF hazard), never a `u_star` shift. It is a per-RESTING-EPISODE Bernoulli, not a
* per-second hazard (measured time-to-fill is near-instant — median 0s — so time-at-rest adds no
* accrual); the engine folds one `p` per episode via {@link FillAssessment.episodeKey}. */
export interface EpisodeSigmoidParams {
readonly version: string;
readonly buy: EpisodeSigmoidSide;
readonly sell: EpisodeSigmoidSide;
}
/**
* Validate and load {@link EpisodeSigmoidParams} from a parsed calibration JSON (the private
* `hazard_constants.{BUY,SELL}` schema). Fails **loud** on a missing/malformed field — a
* calibration you cannot read is never silently defaulted (RUNTIME §8). The private numbers stay
* in the (gitignored) data file; only the shape is asserted here.
*/
export declare function loadEpisodeSigmoidParams(raw: unknown): EpisodeSigmoidParams;
/**
* The calibrated ceiling judge (`episode-sigmoid-u-v1`). Strict-cross ∪ the per-episode sigmoid
* hazard above. It returns an {@link FillAssessment.episodeKey} (`"lit"` / `"dark"`) so the
* engine accrues **one Bernoulli per resting episode** (placement, each reprice = a new order/
* episode, and each dark↔lit transition = a new episode) rather than integrating over time.
*/
export declare class MakerFairCalV1 implements FillModel {
readonly name: string;
readonly version = "cal";
readonly self_limitation: readonly FillLimit[];
readonly params: EpisodeSigmoidParams;
constructor(params: EpisodeSigmoidParams);
get calibration(): FillCalibration;
assess(order: FillOrderView, leg: OptionQuote, ctx: FillAssessCtx): FillAssessment;
}
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