Net collar gamma, theta and vega across the price range
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 2026-08-18, from Collar Option Greeks as the Stock Moves.
| spot_price | net_gamma | net_theta | net_vega |
|---|---|---|---|
| $85 | 5.05 | -2.36 | 7.5 |
| $90 | 6.01 | -3.68 | 10 |
| $100 | -0.88 | 0.94 | -1.82 |
| $110 | -4.96 | 5.75 | -12.34 |
| $118 | -2.68 | 4.21 | -7.68 |
- Rows × columns
- 5 × 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 |
|---|---|---|---|
spot_price |
text | 5 distinct values ($100, $110, $118…) | |
net_gamma |
number | -4.96 to 6.01 | |
net_theta |
number | -3.68 to 5.75 | |
net_vega |
number | -12.34 to 10 |
Computed from Strasmore's warehouse of US exchange, SIP and OPRA market data. Equity prices are delayed; options greeks and implied volatility are end-of-day. This result is stored, not recomputed on load — it is exactly the numbers that were returned on , and the query below is what returned them.
Run it yourself
This is the exact query behind the result above. Change a ticker, a date or a column and run it against the warehouse — no account, no key. The no-signup tier is smaller than the one this page was computed on; a query that reaches past it comes back saying which plan runs it.
SELECT
spot_price,
net_gamma,
net_theta,
net_vega
FROM
(
WITH
100.0 AS contract_multiplier,
90.0 AS put_strike,
110.0 AS call_strike,
0.25 AS vol,
0.04 AS rate,
30.0 / 365.0 AS years
SELECT
spot,
concat('$', toString(toUInt16(spot))) AS spot_price,
(log(spot / put_strike) + (rate + 0.5 * vol * vol) * years) / (vol * sqrt(years)) AS d1_put,
(log(spot / call_strike) + (rate + 0.5 * vol * vol) * years) / (vol * sqrt(years)) AS d1_call,
d1_put - vol * sqrt(years) AS d2_put,
d1_call - vol * sqrt(years) AS d2_call,
exp(-0.5 * d1_put * d1_put) / sqrt(2 * pi()) AS pdf_put,
exp(-0.5 * d1_call * d1_call) / sqrt(2 * pi()) AS pdf_call,
0.5 * (1 + erf(-d2_put / sqrt(2))) AS nd2_put_below,
0.5 * (1 + erf( d2_call / sqrt(2))) AS nd2_call_above,
pdf_put / (spot * vol * sqrt(years)) AS gamma_put,
pdf_call / (spot * vol * sqrt(years)) AS gamma_call,
(-(spot * pdf_put * vol) / (2 * sqrt(years)) + rate * put_strike * exp(-rate * years) * nd2_put_below) / 365 AS theta_put_day,
(-(spot * pdf_call * vol) / (2 * sqrt(years)) - rate * call_strike * exp(-rate * years) * nd2_call_above) / 365 AS theta_call_day,
spot * pdf_put * sqrt(years) / 100 AS vega_put_point,
spot * pdf_call * sqrt(years) / 100 AS vega_call_point,
round(contract_multiplier * (gamma_put - gamma_call), 2) AS net_gamma,
round(contract_multiplier * (theta_put_day - theta_call_day), 2) AS net_theta,
round(contract_multiplier * (vega_put_point - vega_call_point), 2) AS net_vega
FROM
(
SELECT arrayJoin([85.0, 90.0, 100.0, 110.0, 118.0]) AS spot
)
)
ORDER BY spot
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