SPY option deltas against how often those contracts finished in the money
Answered against 22 years of US equities and 12 years of US options data and published with the query that produced it. This result is stored as of 2026-08-13, from Brier Score: How to Grade a Forecast.
| stated_bucket | stated_pct | finished_itm_pct | sample_size |
|---|---|---|---|
| 0 to 10% | 5.2 | 3.7 | 17114 |
| 10 to 20% | 14.7 | 10.7 | 11108 |
| 20 to 30% | 24.8 | 20.9 | 8628 |
| 30 to 40% | 34.9 | 31.6 | 7359 |
| 40 to 50% | 45 | 42.8 | 6805 |
| 50 to 60% | 55 | 57.2 | 6659 |
| 60 to 70% | 65 | 69.9 | 6558 |
| 70 to 80% | 74.9 | 80.8 | 6110 |
| 80 to 90% | 84.8 | 90.5 | 5481 |
| 90 to 100% | 94 | 96.5 | 3914 |
- Rows × columns
- 10 × 4
- Computed
- Completeness
- No missing values
- Source
- US exchange, SIP and OPRA market data
- Licence
- Strasmore terms · free, no signup
What each column holds
| Column | Type | Range | Notes |
|---|---|---|---|
stated_bucket |
text | 10 distinct values (0 to 10%, 10 to 20%, 20 to 30%…) | |
stated_pct |
number | 5.2 to 94 | percent |
finished_itm_pct |
number | 3.7 to 96.5 | percent |
sample_size |
number | 3,914 to 17,114 |
Computed from Strasmore's warehouse of US exchange, SIP and OPRA market data. Equity prices are delayed; options greeks and implied volatility are end-of-day. This result is stored, not recomputed on load — it is exactly the numbers that were returned on , and the query below is what returned them.
Run it yourself
This is the exact query behind the result above. Change a ticker, a date or a column and run it against the warehouse — no account, no key. The no-signup tier is smaller than the one this page was computed on; a query that reaches past it comes back saying which plan runs it.
WITH settle AS
(
SELECT
date AS settle_date,
any(toFloat64(underlying_close)) AS settle_px
FROM global_markets.options_greeks
WHERE underlying_symbol = 'SPY'
AND date >= '2025-01-01'
AND date < '2026-08-01'
GROUP BY date
),
scored AS
(
SELECT
toUInt8(floor(abs(toFloat64(g.delta)) * 10)) AS bucket,
abs(toFloat64(g.delta)) AS stated,
startsWith(lower(toString(g.option_type)), 'c') AS is_call,
if(is_call,
s.settle_px > toFloat64(g.strike_price),
s.settle_px < toFloat64(g.strike_price)) AS finished_itm
FROM global_markets.options_greeks AS g
INNER JOIN settle AS s ON s.settle_date = g.expiration_date
WHERE g.underlying_symbol = 'SPY'
AND g.date >= '2025-01-01'
AND g.date < '2026-06-01'
AND g.expiration_date <= '2026-07-31'
AND g.days_to_expiry BETWEEN 28 AND 35
AND g.iv_converged = 1
AND g.volume > 0
AND abs(g.delta) > 0.02
AND abs(g.delta) < 0.98
)
SELECT
concat(toString(bucket * 10), ' to ', toString(bucket * 10 + 10), '%') AS stated_bucket,
round(avg(stated) * 100, 1) AS stated_pct,
round(avg(finished_itm) * 100, 1) AS finished_itm_pct,
count() AS sample_size
FROM scored
GROUP BY bucket
ORDER BY bucket
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