[{"data":1,"prerenderedAt":19514},["ShallowReactive",2],{"wrun-open-editor-url":3,"indicators:cookbook/greek-exposure":4},"https://openmarket.xyz/chart/#wrun-open=v1",{"slug":5,"filePath":6,"frontmatter":7,"rawMarkdown":12,"tree":13},"cookbook/greek-exposure","cookbook/greek-exposure.md",{"title":8,"description":9,"order":10,"section":11},"Greek exposure","The dealers' exposure in the chart's own option chain, one greek at a time. The Lens setting picks gamma (the default), delta, vanna, charm or vega, or the…",115,"cookbook","---\ntitle: \"Greek exposure\"\ndescription: \"The dealers' exposure in the chart's own option chain, one greek at a time. The Lens setting picks gamma (the default), delta, vanna, charm or vega, or the…\"\norder: 115\nsection: \"cookbook\"\n---\n\n\u003C!-- source: docs/indicators/cookbook/greek-exposure.md; generated by packages/cli/scripts/gen-indicator-docs.ts, do not edit -->\n\n# Greek exposure\n\nThe dealers' exposure in the chart's own option chain, one greek at a time. The **Lens** setting picks gamma (the default), delta, vanna, charm or vega, or the open interest itself and IV times open interest; the **Expiries** setting counts every live expiry, the one settling today, those within a week or a month, the N nearest, or every expiry stacked by days to go. The exposure by strike docks on the price axis (net, calls against puts, or the stacked days), the exposure by expiry stands in bars under the chart, and a card at the bottom of the pane, in the terminal look, reads the lens in one plain line first (\"Long gamma: dealer hedging dampens moves\", \"Long vanna: an IV rise makes dealers sell\"), then the net, the calls, the puts, the same-day expiry, the strike holding the most exposure, where the running sum crosses zero, and the sums above and below spot.\n\nThe parts are a celled `options_chain.cells` input read on the live bar ([Data sources](../core-concepts/data-sources.md#options-chain)), the options kit's `Greeks`, `chainPricedAtMs` and `optionsTradeDay` for the priced greeks, the chain's clock and the calendar ([Options kit](../functions/options-kit.md#pricing-the-chain)), three frames feeding `plot.levels` docked on the price axis and one feeding `panel.bars` under the chart ([Cards, frames and panels](../presentation/cards-frames-panels.md#frames-panels-and-compact-widgets)), and a `render.hud` card with `look: \"terminal\"` over data-only outputs and two text slots ([HUD cards](../presentation/hud-and-hover-cards.md#hud-cards)). This is also the `greek-exposure` template: the **Greek Exposure** card under **HUDs** in the editor's starter list, and it compiles as written.\n\n## The wrun indicator\n\n```typescript sample=greek-exposure\n// Greek Exposure: the dealers' exposure in the chart's own option chain, one greek at a time. The Lens setting picks\n// gamma (the default), delta, vanna, charm or vega, or the open interest itself and IV times open interest; the\n// Expiries setting counts every live expiry, the one settling today, those within a week or a month, the N nearest,\n// or every expiry stacked by days to go (0, 1-7, 8-30, 31-60, 61-120, 121+). The exposure by strike docks on the\n// price axis (net, calls against puts, or the stacked days), the exposure by expiry stands in bars under the chart,\n// and a card in the terminal look reads the lens in one plain line first (Long gamma: dealer hedging dampens moves),\n// then the net, the calls, the puts, the same-day expiry and the strikes that matter.\n// The convention is the open-interest model flow tools use: dealers long the calls and short the puts, so calls add\n// and puts subtract on every lens but delta, which keeps each option's own sign (calls plus, puts minus) as those\n// tools' delta views do. Units: dollars, or units of the underlying (shares on a US stock, contracts on CME, coins on\n// crypto) for gamma per 1% move of spot, delta held, vanna per IV point and charm per calendar day (some tools\n// multiply charm by 365; this does not). Vega reads dollars per IV point either way. The chain rides the live bar\n// only: history bars draw nothing, and everything is measured on the last bar.\n\nsection(\"Lens\");\nparam.choice(\"lens\", [\"gamma\", \"delta\", \"vanna\", \"charm\", \"vega\", \"iv_x_oi\", \"oi\"], \"gamma\", { label: \"Lens\", description: \"gamma per 1% move, delta held, vanna per IV point, charm per day, vega per IV point, IV times open interest, or open interest\" });\nparam.choice(\"units\", [\"dollars\", \"underlying\"], \"dollars\", { label: \"Units\", description: \"Dollars, or units of the underlying (shares, contracts or coins) on gamma, delta, vanna and charm\" });\nparam.choice(\"split\", [\"net\", \"calls_puts\"], \"net\", { label: \"By strike\", description: \"net: one bar per strike, calls minus puts; calls_puts: the calls one way, the puts the other\" });\nsection(\"Expiries and strikes\");\nparam.choice(\"scope\", [\"all\", \"0dte\", \"week\", \"month\", \"nearest\", \"buckets\"], \"all\", { label: \"Expiries\", description: \"all; 0dte: the expiry settling today; week: within 7 days; month: within 30 days; nearest: the N nearest; buckets: every expiry, stacked by days to go\" });\nparam.int(\"nearest\", 4, { min: 1, max: 24, label: \"Nearest expiries\", description: \"The N nearest live expiries, under Expiries: nearest\" });\nparam.number(\"window_pct\", 8, { min: 1, max: 50, label: \"Strike window, percent\", description: \"Strikes docked on the price axis: percent around spot, each side\" });\nparam.number(\"rate_pct\", 4, { min: 0, max: 20, step: 0.25, label: \"Rate, percent\", description: \"The rate vanna, charm and vega are priced at on a US stock or CME chain; a crypto chain prices at 0\" });\ninput(\"close\", ohlcv.close); // the chart's own close: spot where a contract reports no underlying, and the window's centre\ninput(\"chain\", options_chain.cells, { max_cells: 4000, venue: \"auto\", description: \"The chart's own option chain: OPRA on a US stock, CME on futures, Deribit on BTC and ETH\" }); // [strike, expiry_ms, side, oi, gamma, delta, mark_iv, underlying, multiplier, vega] per contract\nmarket.zone(); // the market's clock: 0 UTC (crypto), 1 New York (US stocks), 2 Chicago (CME): the calendar, the model and the unit word\n// The readings, data-only: the card's tiles read them and the Console can too. Each is NaN on history bars.\noutput(\"net_exposure\", none, overlay, { description: \"The lens over the counted expiries, calls plus and puts minus (delta: each option's own sign), in the card title's unit; live bar only\" });\noutput(\"calls_exposure\", none, overlay, { color: \"#38bdf8\", description: \"The calls' part of the net\" });\noutput(\"puts_exposure\", none, overlay, { color: \"#a78bfa\", description: \"The puts' part of the net, signed as it counts\" });\noutput(\"today_exposure\", none, overlay, { description: \"The net of the expiry settling today; NaN when none is listed or counted\" });\noutput(\"top_strike\", none, overlay, { description: \"The strike holding the largest net exposure, either sign (the gamma magnet on the gamma lens)\" });\noutput(\"top_exposure\", none, overlay, { description: \"That strike's net exposure\" });\noutput(\"zero_cross\", none, overlay, { description: \"Where the net, summed up the strikes, crosses zero nearest spot (the gamma flip on the gamma lens)\" });\noutput(\"above_spot\", none, overlay, { description: \"The net over the strikes above spot\" });\noutput(\"below_spot\", none, overlay, { description: \"The net over the strikes at or below spot\" });\noutput(\"tone\", none, overlay, { description: \"The headline's colour: 0 net below zero, 1 no reading, 2 net above zero; live bar only\" });\noutput(\"expiries_counted\", none, overlay, { description: \"The live expiries the Expiries setting counts\" });\nstring(\"read\", { max_bytes: 64 }); // the headline: the lens's one plain line, or why there is no reading\nstring(\"title\", { max_bytes: 64 }); // the card's title: the lens, its unit and the expiries counted\n// The docked profiles, one per shape; only the one the settings pick is written, so the other two stay absent.\nconst net_rows = frame(\"net_rows\", { max_bytes: 24576 });\nconst split_rows = frame(\"split_rows\", { max_bytes: 32768 });\nconst day_rows = frame(\"day_rows\", { max_bytes: 65536 });\nconst expiry_rows = frame(\"expiry_rows\", { max_bytes: 8192 });\nplot.levels({ name: \"by_strike\", frame: net_rows, dock: \"right\", width_frac: 0.14, baseline: \"center\", labels: false, color: \"#38bdf8\", thickness_px: 10, hover: true, format: \"si\" });\nplot.levels({ name: \"calls_puts\", frame: split_rows, dock: \"right\", width_frac: 0.14, baseline: \"center\", labels: false, thickness_px: 10, hover: true, format: \"si\", series: [{ name: \"Calls\", color: \"#38bdf8\" }, { name: \"Puts\", color: \"#a78bfa\" }] });\nplot.levels({ name: \"by_days\", frame: day_rows, dock: \"right\", width_frac: 0.16, baseline: \"center\", labels: false, thickness_px: 10, hover: true, format: \"si\", series: [{ name: \"0d\", color: \"#f43f5e\" }, { name: \"1-7d\", color: \"#f59e0b\" }, { name: \"8-30d\", color: \"#eab308\" }, { name: \"31-60d\", color: \"#22c55e\" }, { name: \"61-120d\", color: \"#38bdf8\" }, { name: \"121d+\", color: \"#a78bfa\" }] });\npanel.bars({ name: \"by_expiry\", title: \"Net by expiry\", x: \"category\", place: \"below\", frame: expiry_rows, orientation: \"vertical\", chrome: \"grid\", color_mode: \"sign\", positive_color: \"#38bdf8\", negative_color: \"#a78bfa\", series: [{ name: \"Net\" }], format: \"si\", hover_card: true, legend_style: \"title\", height_frac: 0.18 });\n\n// The card, in the terminal look: the lens's plain line leads as the headline, coloured by the sign of the net\n// (violet below zero, slate for no reading, sky above), the title names the lens, its unit and the expiries counted.\nrender.hud(\"exposure\", {\n  position: \"bottom_center\",\n  look: \"terminal\",\n  title: \"{{title}}\",\n  columns: 2,\n  tiles: [\n    tile.pill(\"Dealers\", \"read\", { headline: true, color_by: \"tone\", colors: [\"#a78bfa\", \"#94a3b8\", \"#38bdf8\"] }),\n    tile.value(\"Net\", \"net_exposure\", { format: \"si\" }),\n    tile.value(\"Same-day expiry\", \"today_exposure\", { format: \"si\" }),\n    tile.value(\"Calls\", \"calls_exposure\", { format: \"si\" }),\n    tile.value(\"Puts\", \"puts_exposure\", { format: \"si\" }),\n    tile.rows([\n      [\"1) Largest strike\", \"top_strike\", \"price\"],\n      [\"2) Its exposure\", \"top_exposure\", \"si\"],\n      [\"3) Zero crossing\", \"zero_cross\", \"price\"],\n      [\"4) Above spot\", \"above_spot\", \"si\"],\n      [\"5) Below spot\", \"below_spot\", \"si\"],\n    ]),\n  ],\n});\n\nconst TUPLE = 10; // f64s per contract: strike, expiry_ms, side, oi, gamma, delta, mark_iv, underlying, multiplier, vega\nconst MAX_STRIKES = 1024; // distinct strikes kept, the nearest spot when the chain lists more\nconst MAX_EXPIRIES = 64; // live expiries kept, the nearest when the chain lists more\nconst MAX_ROWS = 256; // rows in the docked profile, the strikes nearest spot inside the window\nconst DAYS = 6; // the stacked buckets: 0, 1-7, 8-30, 31-60, 61-120, 121+ days to go\nconst MIN_T_MS = 900000.0; // 15 minutes: a contract closer to its expiry prices no time left, as the chart's greeks do\nconst GAMMA = 0;\nconst DELTA = 1;\nconst VANNA = 2;\nconst CHARM = 3;\nconst VEGA = 4;\nconst IV_X_OI = 5;\nconst SCOPE_ALL = 0;\nconst SCOPE_TODAY = 1;\nconst SCOPE_WEEK = 2;\nconst SCOPE_MONTH = 3;\nconst SCOPE_NEAREST = 4;\nconst SCOPE_BUCKETS = 5;\nconst LENS_NAMES: String[] = [\"Gamma\", \"Delta\", \"Vanna\", \"Charm\", \"Vega\", \"IV x OI\", \"Open interest\"];\nconst LENS_WORDS: String[] = [\"gamma\", \"delta\", \"vanna\", \"charm\", \"vega\", \"implied volatility\", \"open interest\"]; // the no-reading line\nconst MONTHS: String[] = [\"JAN\", \"FEB\", \"MAR\", \"APR\", \"MAY\", \"JUN\", \"JUL\", \"AUG\", \"SEP\", \"OCT\", \"NOV\", \"DEC\"];\nconst strikePrice = new StaticArray\u003Cf64>(MAX_STRIKES); // the strike table, ascending\nconst callAt = new StaticArray\u003Cf64>(MAX_STRIKES); // the calls' exposure per strike\nconst putAt = new StaticArray\u003Cf64>(MAX_STRIKES); // the puts' exposure per strike, signed as it counts\nconst dayAt = new StaticArray\u003Cf64>(MAX_STRIKES * DAYS); // the net per strike and bucket: [strike * DAYS + bucket]\nconst expiryAt = new StaticArray\u003Cf64>(MAX_EXPIRIES); // the live expiries, ascending\nconst expiryDays = new StaticArray\u003Cf64>(MAX_EXPIRIES); // days to go on the market's calendar, 0 on the expiry day\nconst expiryNet = new StaticArray\u003Cf64>(MAX_EXPIRIES);\nconst contractValue = new StaticArray\u003Cf64>(in_chain_max_cells); // each contract's exposure on the lens; NaN when it does not count\nconst expiryKept = new StaticArray\u003Cbool>(MAX_EXPIRIES); // counted by the Expiries setting\nconst greeks = new Greeks(); // prices vanna, charm and vega per contract; allocated once\nconst dateClock = new Clock(\"UTC\"); // reads a date from its day number\n\nlet lens = GAMMA; // settings, read in onStart()\nlet inUnderlying = false;\nlet splitSides = false;\nlet scope = SCOPE_ALL;\nlet nearestCount = 4;\nlet windowPct = 0.08;\nlet rate = 0.04;\nlet zone = 0;\nlet close: f64 = NaN; // this bar\nlet t: f64 = NaN;\nlet strikeCount = 0;\nlet expiryCount = 0;\nlet counted = 0; // expiries the setting counts\nlet readings = 0; // contracts that carried a nonzero reading for the lens\nlet net: f64 = NaN; // the readings, measured on the live bar\nlet calls: f64 = NaN;\nlet puts: f64 = NaN;\nlet today: f64 = NaN;\nlet topStrike: f64 = NaN;\nlet topValue: f64 = NaN;\nlet zeroCross: f64 = NaN;\nlet above: f64 = NaN;\nlet below: f64 = NaN;\n\nfunction onStart(): void {\n  lens = i32(p_lens());\n  inUnderlying = p_units() == 1.0;\n  splitSides = p_split() == 1.0;\n  scope = i32(p_scope());\n  nearestCount = i32(p_nearest());\n  windowPct = p_window_pct() / 100.0;\n  zone = i32(p_market_zone());\n  rate = zone == 0 ? 0.0 : p_rate_pct() / 100.0; // crypto chains are quoted at a rate of 0\n}\n\n// ── The tables: sorted insertion, the nearest kept when full ──\nfunction noteExpiry(ms: f64): void {\n  let lo = 0;\n  let hi = expiryCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (expiryAt[mid] \u003C ms) lo = mid + 1;\n    else hi = mid;\n  }\n  if (lo \u003C expiryCount && expiryAt[lo] == ms) return;\n  if (expiryCount >= MAX_EXPIRIES) {\n    if (lo >= expiryCount) return; // later than every kept expiry\n    expiryCount -= 1; // the latest makes room\n  }\n  for (let k = expiryCount; k > lo; k -= 1) expiryAt[k] = expiryAt[k - 1];\n  expiryAt[lo] = ms;\n  expiryCount += 1;\n}\nfunction findExpiry(ms: f64): i32 {\n  let lo = 0;\n  let hi = expiryCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (expiryAt[mid] \u003C ms) lo = mid + 1;\n    else hi = mid;\n  }\n  return lo \u003C expiryCount && expiryAt[lo] == ms ? lo : -1;\n}\nfunction copyRow(from: i32, to: i32): void {\n  strikePrice[to] = strikePrice[from];\n  callAt[to] = callAt[from];\n  putAt[to] = putAt[from];\n  for (let b = 0; b \u003C DAYS; b += 1) dayAt[to * DAYS + b] = dayAt[from * DAYS + b];\n}\nfunction findStrike(strike: f64): i32 { // the row of a kept strike, -1 when the table does not hold it\n  let lo = 0;\n  let hi = strikeCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (strikePrice[mid] \u003C strike) lo = mid + 1;\n    else hi = mid;\n  }\n  return lo \u003C strikeCount && strikePrice[lo] == strike ? lo : -1;\n}\nfunction strikeSlot(strike: f64): i32 { // the row of this strike, inserted when new; -1 when the table is full and it is the farthest from spot\n  let lo = 0;\n  let hi = strikeCount;\n  while (lo \u003C hi) {\n    const mid = (lo + hi) >> 1;\n    if (strikePrice[mid] \u003C strike) lo = mid + 1;\n    else hi = mid;\n  }\n  if (lo \u003C strikeCount && strikePrice[lo] == strike) return lo;\n  if (strikeCount >= MAX_STRIKES) { // full: the strike farthest from spot leaves, the lower one on a tie\n    const dLow = Math.abs(strikePrice[0] - close);\n    const dHigh = Math.abs(strikePrice[strikeCount - 1] - close);\n    const dNew = Math.abs(strike - close);\n    if (dLow >= dHigh) {\n      if (dNew > dLow || (dNew == dLow && strike \u003C strikePrice[0])) return -1;\n      for (let k = 1; k \u003C strikeCount; k += 1) copyRow(k, k - 1);\n      strikeCount -= 1;\n      if (lo > 0) lo -= 1;\n    } else {\n      if (dNew > dHigh || (dNew == dHigh && strike \u003C strikePrice[strikeCount - 1])) return -1;\n      strikeCount -= 1;\n      if (lo > strikeCount) lo = strikeCount;\n    }\n  }\n  for (let k = strikeCount; k > lo; k -= 1) copyRow(k - 1, k);\n  strikePrice[lo] = strike;\n  callAt[lo] = 0.0;\n  putAt[lo] = 0.0;\n  for (let b = 0; b \u003C DAYS; b += 1) dayAt[lo * DAYS + b] = 0.0;\n  strikeCount += 1;\n  return lo;\n}\nfunction bucketOf(days: f64): i32 { // 0, 1-7, 8-30, 31-60, 61-120, 121+ days to go\n  return days \u003C= 0.0 ? 0 : days \u003C= 7.0 ? 1 : days \u003C= 30.0 ? 2 : days \u003C= 60.0 ? 3 : days \u003C= 120.0 ? 4 : 5;\n}\n\n// ── One contract's exposure on the lens, in the setting's unit, signed as it counts ──\nfunction exposureOf(cells: StaticArray\u003Cf64>, i: i32, nowMs: f64): f64 {\n  const side = cells[i + 2] > 0.0 ? 1.0 : -1.0; // dealers long the calls, short the puts\n  const oi = cells[i + 3];\n  if (lens == IV_X_OI) return side * cells[i + 6] * oi; // IV points times open interest\n  if (lens > IV_X_OI) return side * oi; // open interest\n  const under = cells[i + 7] > 0.0 ? cells[i + 7] : close;\n  const multiplier = cells[i + 8] > 0.0 ? cells[i + 8] : 1.0;\n  let perUnit: f64 = NaN; // the delta change (or delta) one unit of the underlying carries per unit of open interest\n  if (lens == GAMMA) perUnit = side * cells[i + 4] * under * 0.01; // the delta change for a 1% move of spot\n  else if (lens == DELTA) perUnit = cells[i + 5]; // each option's own sign, as delta views read it\n  else {\n    const left = cells[i + 1] - nowMs;\n    const years = left \u003C MIN_T_MS ? 0.0 : left / OPTIONS_YEAR_MS;\n    const sigma = cells[i + 6] / 100.0; // mark IV rides the chain in percentage points\n    if (zone == 1) greeks.spot(side, under, cells[i], years, sigma, rate); // a US stock: Black-Scholes on spot\n    else greeks.forward(side, under, cells[i], years, sigma, rate); // futures and crypto: the underlying is the forward\n    if (lens == VEGA) return side * (cells[i + 9] > 0.0 ? cells[i + 9] : greeks.vega) * oi * multiplier; // dollars per IV point\n    perUnit = side * (lens == VANNA ? greeks.vanna : greeks.charm);\n  }\n  const dollars = perUnit * oi * multiplier * under;\n  if (!inUnderlying) return dollars;\n  return zone == 2 ? dollars / (under * multiplier) : dollars / under; // CME: futures contracts; else shares or coins\n}\n\n// ── The chain, measured on the live bar ──\nfunction measure(n: i32): void {\n  const cells = in_chain_view(); // the live chain in place: the first n values of the build's own buffer\n  const nowMs = chainPricedAtMs(cells, n, t * 1000.0); // when the chart priced the chain's greeks\n  const todayKey = optionsTradeDay(nowMs, zone);\n  strikeCount = 0;\n  expiryCount = 0;\n  for (let i = 0; i + TUPLE - 1 \u003C n; i += TUPLE) if (cells[i] > 0.0 && cells[i + 1] > nowMs) noteExpiry(cells[i + 1]);\n  counted = 0;\n  for (let e = 0; e \u003C expiryCount; e += 1) {\n    const days = optionsTradeDay(expiryAt[e], zone) - todayKey; // a calendar question: 0 on the expiry day, never the hours left\n    expiryDays[e] = days;\n    expiryNet[e] = 0.0;\n    const kept = scope == SCOPE_TODAY ? days \u003C= 0.0 : scope == SCOPE_WEEK ? days \u003C= 7.0 : scope == SCOPE_MONTH ? days \u003C= 30.0 : scope == SCOPE_NEAREST ? e \u003C nearestCount : true;\n    expiryKept[e] = kept;\n    if (kept) counted += 1;\n  }\n  readings = 0;\n  // Two passes, so every total reads the same strikes whatever order the chain arrives in: the first fills the strike\n  // table (the MAX_STRIKES nearest spot when the chain lists more) and notes each contract's exposure; the second adds\n  // the exposures of the contracts whose strike was kept, to the strikes, the day buckets and the expiries alike.\n  const count = n / TUPLE \u003C contractValue.length ? n / TUPLE : contractValue.length;\n  for (let c = 0; c \u003C count; c += 1) {\n    const i = c * TUPLE;\n    contractValue[c] = NaN;\n    const strike = cells[i];\n    if (!(strike > 0.0) || !(cells[i + 3] > 0.0) || !(cells[i + 1] > nowMs)) continue;\n    const e = findExpiry(cells[i + 1]);\n    if (e \u003C 0 || !expiryKept[e]) continue;\n    const v = exposureOf(cells, i, nowMs);\n    if (!isFinite(v)) continue; // no reading for this lens (no IV to price, a NaN greek)\n    contractValue[c] = v;\n    strikeSlot(strike);\n  }\n  for (let c = 0; c \u003C count; c += 1) {\n    const v = contractValue[c];\n    if (isNaN(v)) continue;\n    const i = c * TUPLE;\n    const slot = findStrike(cells[i]);\n    if (slot \u003C 0) continue; // left out of the full table, so out of every total\n    const e = findExpiry(cells[i + 1]);\n    if (cells[i + 2] > 0.0) callAt[slot] += v;\n    else putAt[slot] += v;\n    dayAt[slot * DAYS + bucketOf(expiryDays[e])] += v;\n    expiryNet[e] += v;\n    if (v != 0.0) readings += 1;\n  }\n  // The chain-wide readings, ascending: the totals, the largest strike, the sums each side of spot.\n  calls = 0.0;\n  puts = 0.0;\n  above = 0.0;\n  below = 0.0;\n  topStrike = NaN;\n  topValue = NaN;\n  let best = 0.0;\n  for (let k = 0; k \u003C strikeCount; k += 1) {\n    const row = callAt[k] + putAt[k];\n    calls += callAt[k];\n    puts += putAt[k];\n    if (strikePrice[k] > close) above += row;\n    else below += row;\n    if (Math.abs(row) > best) {\n      best = Math.abs(row);\n      topStrike = strikePrice[k];\n      topValue = row;\n    }\n  }\n  net = calls + puts;\n  today = NaN;\n  for (let e = 0; e \u003C expiryCount; e += 1) if (expiryKept[e] && expiryDays[e] \u003C= 0.0) today = (isNaN(today) ? 0.0 : today) + expiryNet[e];\n  // The zero crossing: the running net walked up the strikes, the crossing nearest spot (the far wings' small sums can\n  // cross it back and forth); a sum landing exactly on zero crosses at that strike and starts a new segment.\n  zeroCross = NaN;\n  let cum = 0.0;\n  let prevCum = 0.0;\n  let prevStrike: f64 = NaN;\n  for (let k = 0; k \u003C strikeCount; k += 1) {\n    cum += callAt[k] + putAt[k];\n    let cross: f64 = NaN;\n    if (!isNaN(prevStrike) && prevCum != 0.0) {\n      if (cum == 0.0) cross = strikePrice[k];\n      else if ((cum > 0.0) != (prevCum > 0.0)) cross = prevStrike + (strikePrice[k] - prevStrike) * (Math.abs(prevCum) / (Math.abs(prevCum) + Math.abs(cum)));\n    }\n    if (!isNaN(cross) && (isNaN(zeroCross) || Math.abs(cross - close) \u003C Math.abs(zeroCross - close))) zeroCross = cross;\n    if (cum == 0.0) prevStrike = NaN;\n    else {\n      prevCum = cum;\n      prevStrike = strikePrice[k];\n    }\n  }\n}\n\n// ── The frames: the docked profile and the bars by expiry, built in the kit's frame buffer without allocating ──\nfunction writeProfile(): void {\n  const lo = close * (1.0 - windowPct);\n  const hi = close * (1.0 + windowPct);\n  let first = 0; // the window's rows: [first, last)\n  while (first \u003C strikeCount && strikePrice[first] \u003C lo) first += 1;\n  let last = first;\n  while (last \u003C strikeCount && strikePrice[last] \u003C= hi) last += 1;\n  while (last - first > MAX_ROWS) { // a wide window on a fine ladder: drop the row farther from spot\n    if (close - strikePrice[first] >= strikePrice[last - 1] - close) first += 1;\n    else last -= 1;\n  }\n  if (last \u003C= first) return; // no strike inside the window: the profile stays absent\n  fb_clear();\n  fb_text(\"{\\\"prices\\\":[\");\n  for (let k = first; k \u003C last; k += 1) {\n    if (k > first) fb_text(\",\");\n    fb_num(strikePrice[k]);\n  }\n  fb_text(\"],\\\"values\\\":[\");\n  for (let k = first; k \u003C last; k += 1) {\n    if (k > first) fb_text(\",\");\n    fb_num(callAt[k] + putAt[k]);\n  }\n  if (scope == SCOPE_BUCKETS) {\n    fb_text(\"],\\\"series\\\":[\");\n    for (let b = 0; b \u003C DAYS; b += 1) {\n      fb_text(b > 0 ? \",[\" : \"[\");\n      for (let k = first; k \u003C last; k += 1) {\n        if (k > first) fb_text(\",\");\n        fb_num(dayAt[k * DAYS + b]);\n      }\n      fb_text(\"]\");\n    }\n    fb_text(\"]}\");\n    writeFrameBuffer(day_rows);\n  } else if (splitSides) {\n    fb_text(\"],\\\"series\\\":[[\");\n    for (let k = first; k \u003C last; k += 1) {\n      if (k > first) fb_text(\",\");\n      fb_num(callAt[k]);\n    }\n    fb_text(\"],[\");\n    for (let k = first; k \u003C last; k += 1) {\n      if (k > first) fb_text(\",\");\n      fb_num(putAt[k]);\n    }\n    fb_text(\"]]}\");\n    writeFrameBuffer(split_rows);\n  } else {\n    fb_text(\"],\\\"colors\\\":[\");\n    for (let k = first; k \u003C last; k += 1) {\n      if (k > first) fb_text(\",\");\n      const row = callAt[k] + putAt[k];\n      fb_text(row > 0.0 ? \"\\\"#38bdf8\\\"\" : row \u003C 0.0 ? \"\\\"#a78bfa\\\"\" : \"\\\"#94a3b8\\\"\"); // above zero sky, below violet\n    }\n    fb_text(\"]}\");\n    writeFrameBuffer(net_rows);\n  }\n}\nfunction writeExpiries(): void {\n  fb_clear();\n  fb_text(\"{\\\"title\\\":\");\n  fb_text(\"\\\"\");\n  fb_text(LENS_NAMES[lens]);\n  fb_text(\" by expiry\\\",\\\"rows\\\":[\");\n  let wrote = 0;\n  for (let e = 0; e \u003C expiryCount; e += 1) {\n    if (!expiryKept[e]) continue;\n    if (wrote > 0) fb_text(\",\");\n    dateClock.update(optionsTradeDay(expiryAt[e], zone) * 86400.0); // the expiry's trade date, read as a date\n    fb_text(\"[\\\"\");\n    if (dateClock.dayOfMonth() \u003C 10) fb_text(\"0\");\n    fb_int(dateClock.dayOfMonth());\n    fb_text(MONTHS[dateClock.month() - 1]);\n    fb_text(\" \");\n    fb_int(i64(expiryDays[e]));\n    fb_text(\"d\\\",\");\n    fb_num(expiryNet[e]);\n    fb_text(\"]\");\n    wrote += 1;\n  }\n  fb_text(\"]}\");\n  writeFrameBuffer(expiry_rows);\n}\n\n// ── The card's words ──\nfunction writeRead(): void {\n  sb_clear();\n  if (readings == 0 || isNaN(net)) {\n    sb_text(\"No \");\n    sb_text(LENS_WORDS[lens]);\n    sb_text(\" in this chain\");\n  } else if (lens == GAMMA) sb_text(net >= 0.0 ? \"Long gamma: dealer hedging dampens moves\" : \"Short gamma: dealer hedging amplifies moves\");\n  else if (lens == DELTA) sb_text(net >= 0.0 ? \"Net long delta: the calls outweigh the puts\" : \"Net short delta: the puts outweigh the calls\");\n  else if (lens == VANNA) sb_text(net >= 0.0 ? \"Long vanna: an IV rise makes dealers sell\" : \"Short vanna: an IV rise makes dealers buy\");\n  else if (lens == CHARM) sb_text(net >= 0.0 ? \"Charm: each day passing makes dealers sell\" : \"Charm: each day passing makes dealers buy\");\n  else if (lens == VEGA) sb_text(net >= 0.0 ? \"Dealers long vega: an IV rise pays them\" : \"Dealers short vega: an IV rise costs them\");\n  else if (lens == IV_X_OI) sb_text(net >= 0.0 ? \"The calls hold the richer open interest\" : \"The puts hold the richer open interest\");\n  else sb_text(net >= 0.0 ? \"More call than put open interest\" : \"More put than call open interest\");\n  str_read_sb();\n}\nfunction unitWord(): String {\n  return zone == 1 ? \"shares\" : zone == 2 ? \"contracts\" : \"coins\";\n}\nfunction writeTitle(): void {\n  sb_clear();\n  sb_text(LENS_NAMES[lens]);\n  sb_text(\", \");\n  if (lens == IV_X_OI) sb_text(\"IV points x OI\");\n  else if (lens > IV_X_OI) sb_text(zone == 0 ? \"coins\" : \"contracts\"); // open interest in the venue's own unit\n  else if (lens == VEGA) sb_text(\"$ per IV point\");\n  else {\n    sb_text(inUnderlying ? unitWord() : \"$\");\n    sb_text(lens == GAMMA ? \" per 1% move\" : lens == DELTA ? \" held\" : lens == VANNA ? \" per IV point\" : \" per day\");\n  }\n  sb_text(\", \");\n  if (scope == SCOPE_TODAY) sb_text(\"same day\");\n  else if (scope == SCOPE_WEEK) sb_text(\"within 7 days\");\n  else if (scope == SCOPE_MONTH) sb_text(\"within 30 days\");\n  else if (scope == SCOPE_NEAREST && nearestCount \u003C expiryCount) {\n    sb_text(\"nearest \");\n    sb_int(nearestCount);\n    sb_text(\" of \");\n    sb_int(expiryCount);\n    sb_text(\" expiries\");\n    str_title_sb();\n    return;\n  } else {\n    sb_text(\"all \");\n    sb_int(expiryCount);\n    sb_text(\" expiries\");\n    str_title_sb();\n    return;\n  }\n  sb_text(\" (\");\n  sb_int(counted);\n  sb_text(counted == 1 ? \" expiry)\" : \" expiries)\");\n  str_title_sb();\n}\n\n// onBar() runs once per bar: history rows carry an empty block and cost one read; the live bar measures the chain, writes\n// the readings (NaN on history rows), the profile, the bars by expiry and the card's words.\nfunction onBar(): void {\n  close = bar.close();\n  t = bar.time();\n  let measured = false; // the live bar carried a chain with a live expiry the setting counts\n  let chainCells = -1;\n  if (bar.isLast()) {\n    chainCells = in_chain_cells();\n    if (chainCells >= TUPLE && !isNaN(close) && !isNaN(t)) {\n      measure(chainCells);\n      measured = counted > 0;\n    }\n  }\n  const reading = measured && readings > 0;\n  out_net_exposure(reading ? net : NaN);\n  out_calls_exposure(reading ? calls : NaN);\n  out_puts_exposure(reading ? puts : NaN);\n  out_today_exposure(reading ? today : NaN);\n  out_top_strike(reading ? topStrike : NaN);\n  out_top_exposure(reading ? topValue : NaN);\n  out_zero_cross(reading ? zeroCross : NaN);\n  out_above_spot(reading ? above : NaN);\n  out_below_spot(reading ? below : NaN);\n  out_tone(reading ? (net > 0.0 ? 2.0 : net \u003C 0.0 ? 0.0 : 1.0) : bar.isLast() ? 1.0 : NaN);\n  out_expiries_counted(measured ? f64(counted) : NaN);\n  if (measured) {\n    if (reading) writeProfile();\n    writeExpiries();\n    writeRead();\n    writeTitle();\n  } else if (bar.isLast()) {\n    // The live bar carried nothing to measure: the headline says why, so the card is never a row of blanks.\n    sb_clear();\n    sb_text(chainCells \u003C TUPLE ? \"Waiting for the options chain\" : expiryCount == 0 ? \"No live expiry in the chain\" : \"No expiry in this setting's range\");\n    str_read_sb();\n    sb_clear();\n    sb_text(LENS_NAMES[lens]);\n    sb_text(\", no chain read\");\n    str_title_sb();\n  }\n}\n```\n\n## How it works\n\n**One lens at a time.** Every contract the Expiries setting counts adds one number to its strike and to its expiry. Per contract, before the sign, with `oi` its open interest, `multiplier` its multiplier (100 on a US listed option, the point value on CME, 1 on Deribit) and `spot` its underlying:\n\n| Lens | Per contract | Unit in dollars |\n| --- | --- | --- |\n| `gamma` | `gamma * oi * multiplier * spot * spot * 0.01` | the dealers' delta change for a 1% move of spot, in dollars |\n| `delta` | `delta * oi * multiplier * spot` | the delta held, in dollars |\n| `vanna` | `vanna * oi * multiplier * spot` | the delta change for one IV point |\n| `charm` | `charm * oi * multiplier * spot` | the delta change as one calendar day passes |\n| `vega` | `vega * oi * multiplier` | the value change for one IV point |\n| `iv_x_oi` | `mark_iv * oi` | IV points times open interest (where the expensive open positions sit) |\n| `oi` | `oi` | open interest, contracts (coins on crypto) |\n\n**The sign: dealers long the calls, short the puts.** That is the open-interest model the gamma map uses: customers sell the calls dealers hold and buy the puts dealers write, so the calls add and the puts subtract on gamma, vanna, charm, vega, IV times open interest and open interest. Delta keeps each option's own sign (a call's delta is positive, a put's negative), the way delta views read the chain. Net gamma above zero is long gamma: hedging leans against moves. Net vanna above zero means an IV rise lifts the dealers' delta, so they sell to stay hedged; below zero they buy. Charm above zero means each day passing lifts their delta, so they sell; below zero they buy.\n\n**Priced greeks.** Gamma and delta are the chain's own. Vanna, charm and, where a venue serves none, vega are priced per contract by the kit's `Greeks`: Black-Scholes on spot on a US stock, at the Rate setting (4% by default); Black-76 on the underlying on futures and crypto, whose underlying is already the forward (crypto at a rate of 0). The time to expiry runs from `chainPricedAtMs()`, the moment the chart priced the chain, in 365-day years; a contract within 15 minutes of its expiry prices no time left. Charm is per calendar day: tools that multiply it by 365 print a yearly figure 365 times larger.\n\n**Units.** `dollars` is the table above. `underlying` divides the four delta lenses by spot: shares on a US stock, coins on crypto, and on CME by spot times the point value, which is futures contracts. Vega stays in dollars per IV point, and the last two lenses keep their own units. The card's title names the unit in use (`Gamma, $ per 1% move, all 11 expiries`).\n\n**Expiries by the calendar.** `0dte` counts the expiry whose trade date is today's on the market's own clock (`optionsTradeDay()`: New York on a US stock, Chicago on CME, UTC on crypto), never the one under 24 hours away; `week` and `month` count the expiries 7 and 30 days out or less on the same calendar; `nearest` the N nearest live expiries; `buckets` every expiry, stacked by days to go: 0, 1 to 7, 8 to 30, 31 to 60, 61 to 120 and 121 or more. A tall bar built from the near buckets is exposure that decays within days; one built from the far buckets persists.\n\n**By strike.** The strikes within `window_pct` (8) percent of the chart's close dock on the price axis, at most 256, one row per strike, centred on zero: net above zero to one side in sky, below zero to the other in violet. `split: calls_puts` draws the calls one way and the puts the other; `buckets` stacks the six day buckets. Each shape has its own `plot.levels`, and only the one the settings pick gets a frame, so the other two stay absent.\n\n**By expiry.** One bar per counted expiry under the chart, labelled by its date and its days to go (`16OCT 1d`), sky above zero and violet below. The panel's title names the lens.\n\n**The card reads the outputs.** The headline is the lens's plain line, coloured by the sign of the net; under it the net, the same-day expiry, the calls and the puts in `si` (`1.24B`), then five rows: the strike holding the largest net either way (the gamma magnet on the gamma lens), its exposure, where the running net summed up the strikes crosses zero nearest spot (the gamma flip on the gamma lens), and the sums over the strikes above and at or below spot.\n\n## Where it runs\n\nCharts of a coin Deribit lists options for (BTC, ETH, SOL and the rest of its list): that is where the copy you run from the editor reads a chain. On a US stock chart `venue: \"auto\"` reads the chart's own OPRA chain, and on a CME futures chart the chain of its root; the chart serves both to OpenMarket's official wrun indicators and discloses the source in the legend. A copy you run from the editor or publish yourself does not read them yet.\n\n## When data is missing\n\nThe headline says why instead of the card going blank: \"Waiting for the options chain\" while the live bar carries none, \"No live expiry in the chain\" when every listed expiry has passed, \"No expiry in this setting's range\" when the Expiries setting counts none (`0dte` on a day with no expiry), and \"No gamma in this chain\" (or the lens's own word) when no counted contract carries a reading, as on an index chain whose greeks are not served yet or a chain without implied volatility. The numbers then read `-` and the profile does not draw; the bars by expiry still stand while the expiries are counted.\n\n## Customize it\n\n- **Another greek.** Set Lens to `vanna` before an event that moves implied volatility, or to `charm` into the close and over a weekend.\n- **Shares instead of dollars.** Set Units to `underlying` to read the hedge in the market's own units.\n- **What decays and what stays.** Set Expiries to `buckets` and read which days build each strike's bar.\n- **A wider ladder.** Raise `window_pct` on a volatile underlying; the totals always count every strike.\n\n## Run it\n\n1. In the editor's Explorer, press the **Templates** icon (\"Browse starter templates\") and pick **Greek Exposure** under **HUDs**.\n2. Press **Run** on a BTC chart: the profile docks on the price axis once the chain arrives, the bars by expiry stand under the chart and the terminal card appears at the bottom centre.\n3. At the editor's Console prompt, type `net_exposure` and `zero_cross` to read the net and the zero crossing on the live bar.\n\n## Concepts used\n\n- [Data sources](../core-concepts/data-sources.md#options-chain) for the `options_chain` celled class, its tuple and the `venue` word\n- [Options kit](../functions/options-kit.md#pricing-the-chain) for `Greeks`, `chainPricedAtMs` and `optionsTradeDay`\n- [Cards, frames and panels](../presentation/cards-frames-panels.md#frames-panels-and-compact-widgets) for frames, `plot.levels` with series and `panel.bars`\n- [HUD cards](../presentation/hud-and-hover-cards.md#hud-cards), [Blocks and tiles](../presentation/hud-and-hover-cards.md#blocks-and-tiles) and [Looks](../presentation/hud-and-hover-cards.md#looks) for the card, its tiles and the slot in the title\n",{"type":14,"children":15,"data":19507,"position":19509},"root",[16,26,29,30,96,97,441,442,460,461,17489,17490,17505,17506,17593,17595,18089,18090,18121,18122,18190,18191,18276,18277,18421,18422,18529,18530,18578,18579,18647,18648,18663,18664,18698,18699,18713,18714,18767,18768,18783,18784,19006,19007,19022,19023,19202,19203,19218,19219],{"type":17,"value":18,"position":19},"comment"," source: docs/indicators/cookbook/greek-exposure.md; generated by packages/cli/scripts/gen-indicator-docs.ts, do not edit ",{"start":20,"end":23},{"line":21,"column":21,"offset":22},1,0,{"line":21,"column":24,"offset":25},130,129,{"type":27,"value":28},"text","\n",{"type":27,"value":28},{"type":31,"tagName":32,"properties":33,"children":34,"position":93},"element","p",{},[35,44,62,69,86],{"type":27,"value":36,"position":37},"The dealers' exposure in the chart's own option chain, one greek at a time. The ",{"start":38,"end":41},{"line":39,"column":21,"offset":40},5,149,{"line":39,"column":42,"offset":43},81,229,{"type":31,"tagName":45,"properties":46,"children":47,"position":57},"strong",{},[48],{"type":27,"value":49,"position":50},"Lens",{"start":51,"end":54},{"line":39,"column":52,"offset":53},83,231,{"line":39,"column":55,"offset":56},87,235,{"start":58,"end":59},{"line":39,"column":42,"offset":43},{"line":39,"column":60,"offset":61},89,237,{"type":27,"value":63,"position":64}," setting picks gamma (the default), delta, vanna, charm or vega, or the open interest itself and IV times open interest; the ",{"start":65,"end":66},{"line":39,"column":60,"offset":61},{"line":39,"column":67,"offset":68},214,362,{"type":31,"tagName":45,"properties":70,"children":71,"position":81},{},[72],{"type":27,"value":73,"position":74},"Expiries",{"start":75,"end":78},{"line":39,"column":76,"offset":77},216,364,{"line":39,"column":79,"offset":80},224,372,{"start":82,"end":83},{"line":39,"column":67,"offset":68},{"line":39,"column":84,"offset":85},226,374,{"type":27,"value":87,"position":88}," setting counts every live expiry, the one settling today, those within a week or a month, the N nearest, or every expiry stacked by days to go. The exposure by strike docks on the price axis (net, calls against puts, or the stacked days), the exposure by expiry stands in bars under the chart, and a card at the bottom of the pane, in the terminal look, reads the lens in one plain line first (\"Long gamma: dealer hedging dampens moves\", \"Long vanna: an IV rise makes dealers sell\"), then the net, the calls, the puts, the same-day expiry, the strike holding the most exposure, where the running sum crosses zero, and the sums above and below spot.",{"start":89,"end":90},{"line":39,"column":84,"offset":85},{"line":39,"column":91,"offset":92},875,1023,{"start":94,"end":95},{"line":39,"column":21,"offset":40},{"line":39,"column":91,"offset":92},{"type":27,"value":28},{"type":31,"tagName":32,"properties":98,"children":99,"position":438},{},[100,109,123,130,148,155,168,175,188,195,208,215,233,240,253,260,273,280,298,305,318,325,338,345,363,370,383,390,407,414,431],{"type":27,"value":101,"position":102},"The parts are a celled 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