Define the contract before defining the entry
0DTE describes remaining life, not one entry signal or payoff. A purchased call, debit spread and short premium position have different exposures. Cboe distinguishes European cash-settled SPX products from American physically settled SPY options. A test must retain the series, expiration, exercise style, multiplier and settlement convention, even when an interface groups contracts under one underlying.
- For expiring SPXW, Cboe specifies ordinary trading cessation at 16:00 ET, or 13:00 ET on a half-day holiday. Check the actual exchange calendar and series rather than hardcoding every session as a full day.
- A broker can impose earlier risk or exercise deadlines. For American contracts, record assignment, exercise, stock delivery and any subsequent stock liquidation explicitly. A spread payoff diagram alone does not account for those cash flows.
| Example contract family | Exercise and settlement | Research consequence |
|---|
| SPXW weekly / end-of-month | European; PM cash settlement; $100 multiplier | No early exercise. Use the official closing-based settlement value if held through expiry. |
| Traditional SPX | European; AM cash settlement; $100 multiplier | Settlement uses component opening prices; ordinary trading ceases the preceding business day. Do not substitute an expiration-day closing price. |
| SPY ETF options | American; physical ETF delivery | Early exercise and assignment can create stock exposure. Verify deliverable, exercise instructions and broker cutoff; a displayed PM label does not mean cash settlement. |
A complete intraday quote fixture with an unchanged underlying
This synthetic fixture isolates elapsed time. It is not historical market data. Assume a hypothetical European, PM cash-settled index call spread: buy one 6000 call and sell one 6005 call, both expiring on the illustrative full session of 2026-10-19 at 16:00 America/New_York (UTC-04:00). The multiplier is $100 per point. The index stays at 6000, annualized IV stays at 20%, and interest and dividend rates are zero. The model clock uses calendar hours / 8760.
- All prices are premium points. Calculate a Black-Scholes call, round its mark to 0.01, then set bid = mark - 0.10 and ask = mark + 0.10. These invented quotes use an illustrative price grid; they are not claims about SPXW tick rules, liquidity or tradable prices.
- Every fixture row assumes simultaneous observations, zero feed delay and enough displayed size for one contract on each side. Real research needs those conditions measured, not presumed. The three timestamps support only these fixed-time comparisons, not an intrabar stop-loss simulation.
- The default experiment enters at 10:00 and exits at 15:45. The 14:00 exit is a separately declared comparison. There is no assignment in this European model; the default closes both legs before expiration.
| Quote timestamp on 2026-10-19 (UTC-04:00) | Hours left | Call strike | Model mark | Assumed bid | Assumed ask |
|---|
| 10:00:00 | 6.00 | 6000 (long) | 12.53 | 12.43 | 12.63 |
| 10:00:00 | 6.00 | 6005 (short) | 10.19 | 10.09 | 10.29 |
| 14:00:00 | 2.00 | 6000 (long) | 7.23 | 7.13 | 7.33 |
| 14:00:00 | 2.00 | 6005 (short) | 5.01 | 4.91 | 5.11 |
| 15:45:00 | 0.25 | 6000 (long) | 2.56 | 2.46 | 2.66 |
| 15:45:00 | 0.25 | 6005 (short) | 0.80 | 0.70 | 0.90 |
Recompute the Greeks at every timestamp
The table gives each call as a long option before applying position signs. Delta is premium points per index point; gamma is delta change per index point. Theta is premium points per elapsed calendar hour, and vega is premium points per one percentage-point increase in IV, such as 20% to 21%. Other providers may use different theta and vega units.
- For one spread, subtract the 6005 Greeks from the 6000 Greeks, then multiply by 100 for cash sensitivity. Net dollar delta grows from about $6.32 per index point at 10:00 to $28.23 at 15:45. This change occurs even though the underlying and IV are unchanged.
- For an instantaneous +1 index-point shock with time and IV fixed, the local approximation is 100 × [net delta × 1 + 0.5 × net gamma × 1²]. It gives about +$6.33 at 10:00 and +$29.04 at 15:45. These are local model changes, not realized returns or exact large-move forecasts.
- OIC explains that gamma is concentrated near the strike as expiry approaches. It does not rise uniformly for every contract. Far in-the-money or out-of-the-money options can lose gamma, and a spread can change its net gamma sign when the underlying moves.
- At 15:45 the net theta is about -1.338923 points per hour, but multiplying it by the remaining quarter-hour does not reproduce the expiry value. Sensitivities change rapidly near the payoff kink. Reprice the endpoint instead of extrapolating one Greek through expiration.
| Time / strike | Delta | Gamma | Theta / hour | Vega / IV point |
|---|
| 10:00 / 6000 | 0.501044 | 0.012703 | -1.044076 | 0.626446 |
| 10:00 / 6005 | 0.437810 | 0.012548 | -1.031368 | 0.618821 |
| 14:00 / 6000 | 0.500603 | 0.022002 | -1.808397 | 0.361679 |
| 14:00 / 6005 | 0.391992 | 0.021191 | -1.741711 | 0.348342 |
| 15:45 / 6000 | 0.500213 | 0.062232 | -5.114924 | 0.127873 |
| 15:45 / 6005 | 0.217961 | 0.045941 | -3.776002 | 0.094400 |
Reproduction formulas and model boundaries
For S = 6000, K = 6000 or 6005, sigma = 0.20 and T = hours left / 8760, define d1 = [ln(S / K) + 0.5 × sigma² × T] / [sigma × sqrt(T)] and d2 = d1 - sigma × sqrt(T). With N the standard normal cumulative distribution and phi its density, call value C = S × N(d1) - K × N(d2). Use unrounded values for Greeks and round only the displayed output.
- Delta = N(d1). Gamma = phi(d1) / [S × sigma × sqrt(T)]. Theta per hour = -S × phi(d1) × sigma / [2 × sqrt(T) × 8760]. Vega per IV percentage point = S × phi(d1) × sqrt(T) / 100.
- At six hours, the unrounded call values are approximately 12.528941 and 10.192548 points. Their rounded marks, 12.53 and 10.19, are the inputs to the cash ledger below. This rounding convention makes every quoted-price result independently reproducible.
- Require positive S and K, nonnegative volatility and nonnegative remaining time. At T = 0 use max(S - K, 0). At sigma = 0, the zero-rate call value also equals intrinsic value; the divided-by-zero Greek formulas are inapplicable. At the expiry strike, smooth Greeks are not defined.
- The model assumes constant volatility, continuous price paths and European exercise. It omits jumps, changing skew, discrete hedging and microstructure. The quote table separately assumes a spread; the pricing formula does not predict that spread or the chance of a fill.
Cross the spread before reporting net P&L
At 10:00, buying the 6000 call at 12.63 and selling the 6005 call at 10.09 costs 2.54 points, or $254. Assume an all-in fee of $0.65 per contract-side: two legs opened and closed cost 4 × $0.65 = $2.60. This is a chosen research assumption, not a quoted broker or exchange rate. Use each account and product fee schedule in a historical test.
- For the default exit, net P&L = 100 × [(2.46 - 0.90) - (12.63 - 10.09)] - 2.60 = -$100.60. The $42.60 difference from the -$58 midpoint result comprises $40 of crossing costs and $2.60 of fees.
- The underlying return is zero in this fixture, while the option spread loses money. An underlying daily candle, even combined with the final expiry payoff, cannot reconstruct this intraday result.
- Bid/ask execution is still an assumption. A complex order may fill at a different net price, fail entirely or encounter partial execution. Independent leg quotes do not prove simultaneous liquidity. Model latency, available size and unmatched-leg handling before claiming executable performance.
- For many contracts, multiply both the leg cash flows and per-contract fees by quantity. If a broker charges minimums or order fees, calculate those separately. Spread widening or higher slippage can overwhelm a small modeled advantage.
| Exit comparison | Midpoint-only gross result | Executable-side assumption | Net after $2.60 fees |
|---|
| 14:00 | 100 × [(7.23 - 5.01) - 2.34] = -$12 | Sell at 7.13; buy back at 5.11; credit = $202 | -$54.60 |
| 15:45 | 100 × [(2.56 - 0.80) - 2.34] = -$58 | Sell at 2.46; buy back at 0.90; credit = $156 | -$100.60 |
| 15:45, extra adverse slippage | Same model marks | 0.05 point worse on each of four contract-sides: another $20 | -$120.60 |
Keep expiration settlement as a separate branch
To study holding through expiry instead, use the official settlement value X, with cash payoff = 100 × [max(X - 6000, 0) - max(X - 6005, 0)]. Assume both legs settle automatically to intrinsic value, no physical delivery, and no additional exercise or settlement fees. Only the two opening contract-side fees apply: $1.30. These assumptions differ from the four-fee closing ledger above.
- This hypothetical European vertical has a $255.30 maximum loss and $244.70 maximum gain under the stated entry, settlement and fee assumptions. A wrong multiplier, unmatched leg or different exercise mechanics invalidates those amounts.
- The result at X = 6000 also shows why the last 15 minutes matter: a 1.76-point model spread mark becomes zero at expiry if the index stays at the lower strike. A low premium does not imply small percentage risk.
- For real PM-settled index options, obtain the published settlement value. For traditional AM-settled contracts, obtain the opening-based value. For American ETF options, use the actual exercise and assignment record rather than this cash-only branch.
| Hypothetical settlement X | Cash payoff | Net versus $254 entry and $1.30 opening fees |
|---|
| 5995 or 6000 | $0 | -$255.30 |
| 6003 | $300 | +$44.70 |
| 6005 or 6010 | $500 | +$244.70 |
Specify a historical data test before inspecting results
The synthetic example tests bookkeeping and sensitivity only. To investigate a trading hypothesis, predefine the sample dates, eligible series, strike-selection rule, observation times, entry latency, exit rule and risk budget using information available at the decision time. A later price or a freshly revised Greek must not select an earlier trade.
- For each leg, retain contract identifier, option type, strike, expiry, exercise style, deliverable, multiplier, bid/ask and size, quote exchange timestamp, receive timestamp, timezone and feed delay label. Store synchronized underlying price, IV and Greeks with their own observation times, units and model assumptions.
- Set a quote-age and cross-leg timestamp tolerance before the study. For example, a chosen one-second age limit rejects a 15:45:00 decision based on a 15:44:57 quote. This is an illustrative rejection rule, not proof that a one-second-old quote is executable.
- Use only observations received by the decision time; apply the declared latency before testing execution. Reject crossed markets, absent legs, nonpositive displayed size or unknown timestamps. Do not forward-fill across expiry, halts or a feed outage. Log rejected sessions so missing data does not silently select easier days.
- Use finer data than the rule being tested. Three snapshots cannot decide whether a stop or target was hit first. Preserve loss days, jumps, news sessions and half days; compare results by entry-time bucket, quote quality, moneyness and cost scenario.
- Evaluate later sessions without choosing parameters from their outcomes. Report net P&L, drawdown, loss distribution, skipped observations, total fees and all tested variants. A high win rate can coexist with a few large losses. No sample here establishes a profitable entry rule.
Use TradingView Options for structure and Pineify for input review
TradingView Options Strategy Builder lets you add call or put legs and set strike, expiration, direction, size and opening price. Recreate the two calls as a scenario where a suitable chain is available, set a one-to-one ratio, and inspect the P&L and Greeks profiles. Its documented price choices include bid, ask, midpoint and theoretical price. Those profiles describe a modeled structure; they do not supply this fixture as historical quotes.
- TradingView Pine Strategy Tester uses its chart broker emulator. Requesting other symbols does not create a native historical multi-leg options ledger with independent fills, expiry settlement and assignment. Use contract-level historical data and a separate reconciled simulator for that task.
- Pineify AI Stocks & Options Picker has an expiration selector, strike rows, call/put bid and ask, IV, volume, open interest and delta when supplied. Expanding a row shows gamma, theta and vega. Missing values display as unavailable; neither volume nor open interest proves an executable quote.
- The underlying snapshot contract includes quote last_updated and timeframe, bid/ask sizes, and underlying last_updated. The current chain table does not present a full timestamp audit or historical Greek series. Obtain timestamped records separately, verify provider units, and confirm actual symbol and expiry coverage. This page does not claim that the Picker supplies historical SPXW data.
- Use Trading Journal plan and review notes to preserve contract assumptions, data-source references, entry and exit decisions, and the net cash calculation. Keep recorded fills separate from model marks. Notes help review evidence; they do not automatically import every leg or rebuild historical quotes.
