STRASMORE/EXPLORE 2,170 QUERIES

Book sum and overround on four illustrative markets

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 2026-08-11, from How to De-Vig Betting Odds Into Probabilities.

as of ranking 4×3read in context →
Book sum and overround on four illustrative markets — 4 rows by 3 columns, computed from US exchange, SIP and OPRA data.
marketbook_sum_pctoverround_pct
Balanced -110 / -110104.764.76
Lopsided -750 / +475105.635.63
Decimal 1.1333 / 5.75105.635.63
Three-way +100 / +230 / +300105.35.3
Rows × columns
4 × 3
Computed
Completeness
No missing values
Source
US exchange, SIP and OPRA market data
Licence
Strasmore terms · free, no signup
Formats
JSON · CSV · the SQL below

What each column holds

Column definitions for Book sum and overround on four illustrative markets, derived from the stored result.
ColumnTypeRangeNotes
market text 4 distinct values
book_sum_pct number 104.76 to 105.63 percent
overround_pct number 4.76 to 5.63 percent

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.

the exact SQL behind every number
SELECT
    b.2 AS market,
    round(100.0 * arraySum(b.3), 2) AS book_sum_pct,
    round(100.0 * (arraySum(b.3) - 1.0), 2) AS overround_pct
FROM
(
    SELECT arrayJoin([
        (1, 'Balanced -110 / -110',         [110.0 / 210.0, 110.0 / 210.0]),
        (2, 'Lopsided -750 / +475',         [750.0 / 850.0, 100.0 / 575.0]),
        (3, 'Decimal 1.1333 / 5.75',        [  1.0 / 1.1333, 1.0 / 5.75]),
        (4, 'Three-way +100 / +230 / +300', [100.0 / 200.0, 100.0 / 330.0, 100.0 / 400.0])
    ]) AS b
)
ORDER BY b.1

Run your own version of this

The same 22 years of US equities and 12 years of options data are queryable in SQL or plain English. A free account runs 100 queries a day and takes no card.

More from this analysisHow to De-Vig Betting Odds Into Probabilities
Implied probability by quote format, illustrative quotes ranking 5×2 De-vig methods on one lopsided market, -750 against +475 ranking 4×3 Implied probability vs what happened: SPY calls 30 days from expiry, 2022 through June 2026 ranking 10×4 How a near coin flip resolves: average implied probability by checkpoint, split by outcome ranking 6×4 Contracts priced near a coin flip: implied vs realized outcome by name, 2023 through June 2026 ranking 6×4 Yes and No probabilities across one SPY chain: call side, put side, and the pair total table 8×5 See all 2,170 queries →