Where is the root of 10(S−100)+30?
Reveal the worked answer
97.
Set the model output to zero rather than reading a price target into it.
What makes a Gamma-flip level move?
Read first: Why dealers hedge
A Gamma-flip level is a root of a positioning model: a hypothetical spot where estimated net Gamma crosses zero. It is not an exchange-designated support or resistance level. It can change even when the chart does not.
A spot scan reprices sensitivities while assuming an inventory and a volatility-surface response. Sticky-strike and other surface conventions can produce different results. A book can have multiple roots or no root in the plotted domain.
A shallow crossing is especially sensitive to estimation changes. Reporting one precise line can hide that uncertainty.
Inspect the curve around the root, not only the displayed price. Identify which inventory or IV assumptions would shift it. Record its timestamp.
Use the level as a hypothesis for observing a regime transition, not an automatic entry. Acceptance and liquidity still matter.
The arithmetic is original conditional teaching material, not a measurement of current dealer positions. The cited Cboe research is historical product-specific evidence, not a live inventory feed. Model outputs should remain distinguishable from observed market facts.
The fictional model is G(S)=10(S−100) shares per dollar. It equals −20 at 98, zero at 100 and +20 at 102. Adding +30 through a changed inventory assumption gives G(S)=10(S−100)+30, with root 97.
The root moved because an input assumption changed. No claim that spot must travel to 97 follows. The graph shows the original curve.
Vertical: Modeled Gamma (shares/USD)
Horizontal: Spot (USD)
| Spot (USD) | Fictional example |
|---|---|
| 95 | -50 |
| 96 | -40 |
| 97 | -30 |
| 98 | -20 |
| 99 | -10 |
| 100 | 0 |
| 101 | 10 |
| 102 | 20 |
| 103 | 30 |
| 104 | 40 |
| 105 | 50 |
A root is not a price that must repel or attract the market. Multiple crossings and uncertain surface dynamics can defeat a single-line interpretation.
Try the question before revealing its answer. These are reading checks, not trading certification or a site completion record.
97.
Set the model output to zero rather than reading a price target into it.
A root is not a price that must repel or attract the market. Multiple crossings and uncertain surface dynamics can defeat a single-line interpretation.
Explain this risk before treating the example as a decision rule. A correct calculation does not guarantee a favorable market outcome.
Return to the question: What makes a Gamma-flip level move? State the observed facts, the assumptions and the failure condition separately.
External references support definitions and conventions. Worked scenarios and prose are original. No current quotes or dealer inventory are claimed.
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