Second-Order Greeks Risk Monitor
Vomma · Volga · Vanna · QV Convexity — C6
69 nodes · 6 maturities · 2026-03-24
Unstable Nodes
2 / 69
|vomma_z| > 2.0
Max Vomma
4,086
365d maturity nodes
Min Vomma
-119
Near-expiry nodes
Mean Vomma
1,268
Across all 69 nodes
Vomma Heatmap — Maturity × Log-Moneyness
Low vomma
High vomma
Unstable (z > 2)
| Maturity | -0.30 | -0.25 | -0.20 | -0.15 | -0.10 | -0.05 | +0.00 | +0.05 | +0.10 | +0.15 | +0.20 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 14d |
z=-1.1
8
|
z=-1.0
88
|
z=-0.9
249
|
z=-0.6
590
|
z=-0.0
1221
|
z=-0.7
438
|
z=-0.9
232
|
z=-1.0
32
|
z=-1.1
12
|
z=-1.1
7
|
z=-1.1
4
|
| 30d |
z=-0.8
296
|
z=-0.4
827
|
z=-0.0
1219
|
z=+0.3
1580
|
z=-0.0
1231
|
z=-0.8
324
|
z=-0.9
160
|
z=-1.1
0
|
z=-1.1
0
|
||
| 60d |
z=+0.1
1331
|
z=+0.6
1974
|
z=+0.8
2175
|
z=+0.8
2153
|
z=-0.2
1069
|
z=-0.9
236
|
z=-1.0
106
|
z=+0.7
2070
|
|||
| 91d |
z=+0.7
2148
|
z=+1.1
2555
|
z=+1.1
2537
|
z=+0.8
2277
|
z=-0.3
946
|
z=-0.9
186
|
z=-1.0
73
|
z=+0.3
1638
|
|||
| 180d |
z=+1.7
3337
|
z=+1.6
3137
|
z=+1.3
2776
|
z=+0.8
2219
|
z=-0.5
716
|
z=-1.0
94
|
z=-1.1
8
|
z=-0.2
977
|
|||
| 365d |
z=+2.4
4070
|
z=+1.6
3202
|
z=+1.1
2572
|
z=+0.5
1848
|
z=-0.7
408
|
z=-1.1
-59
|
z=-1.2
-119
|
z=-0.7
442
|
z=+2.4
4086
|
Cells show vomma value (∂²V/∂σ²) and z-score.
X-axis = log-moneyness ln(K/S) bins (0.05 wide).
Red-bordered cells: |z| > 2 — P&L convex to vol-of-vol shocks.
All three unstable nodes are at the 1-year maturity.
QV Convexity × 10⁴ — by Maturity
Quadratic variation convexity measures the sensitivity of the straddle P&L to
variance path roughness. Higher values at long maturities reflect accumulated vomma exposure.
Mean Vanna — by Maturity (∂²V/∂S∂σ)
Vanna is the cross-greek measuring how delta changes with implied vol.
Negative mean vanna at short maturities reflects the leverage effect:
rising spot → falling IV → negative delta adjustment.
Vomma Z-Score vs Log-Moneyness — All Maturities
Points above z=+2 (dashed red line) are flagged as unstable.
Longer maturities (darker points) show higher absolute vomma due to greater vol-of-vol accumulation time.
Unstable Node Details
| Maturity | Strike K | Log-Moneyness | Implied Vol | Vomma | Z-Score | Risk Flag |
|---|---|---|---|---|---|---|
| 365d | 7,755 | +0.100 | 21.1% | 4,086 | +2.37 | UNSTABLE |
| 365d | 5,034 | -0.300 | 31.0% | 4,070 | +2.36 | UNSTABLE |