ORC Wing (Jump-Wing)
This page covers the Jump-Wing parameterization of SVI. For the raw SVI parameterization, see SVI. For context on how it fits into the vol surface pipeline, see How Surfaces Are Built.
Jump-Wing (JW), also called ORC Wing after the ORC trading system that popularized it, is an alternative way to express the same SVI smile using parameters that match how traders think.
Raw SVI uses five mathematical parameters that control variance level, slope, skew, shift, and curvature. These are clean for fitting but opaque for intuition. Jump-Wing replaces them with five quantities a trader can read directly off the smile.
Explore the Parameters
Adjust each Jump-Wing parameter to see how it shapes the smile. Toggle "Show raw SVI" to see the equivalent raw parameters.
Jump-Wing Parameter Explorer
Dashed lines show the asymptotic wing slopes. Click "Show raw SVI" to see the equivalent (a, b, ρ, m, σ) parameters.
The Five Parameters
| JW Parameter | Symbol | What it means |
|---|---|---|
| ATM Variance | The variance (IV squared) at the money. Controls the overall level of the smile. | |
| ATM Skew | The slope of the smile at ATM. Negative means the smile tilts down to the right (put skew). | |
| Put Wing Slope | The asymptotic slope of the left wing. Higher = steeper OTM put premiums. | |
| Call Wing Slope | The asymptotic slope of the right wing. Higher = steeper OTM call premiums. | |
| Minimum Variance | The lowest point on the smile. The variance floor. Must be positive. |
Why these parameters matter
A trader looking at a smile cares about:
- Where is ATM? That is , immediately readable.
- Which way does it tilt? That is . A quick check: is the skew normal (negative) or inverted (positive)?
- How expensive are OTM puts? That is . The steeper the put wing, the more the market is paying for crash protection.
- How expensive are OTM calls? That is . A steep call wing means upside is being bid (rare, signals euphoria or event risk).
- What is the floor? That is . How low can vol go even in the cheapest part of the smile?
These map directly to observable features. Compare with raw SVI: "a = 0.04, b = 0.25, rho = -0.4" tells you nothing at a glance. "ATM vol = 50%, put wing slope = 0.30, call wing slope = 0.10" tells you the market is pricing significant downside risk with mild upside premium.
Reading Market Conditions from JW Parameters
| Condition | ATM Var | ATM Skew | Put Wing | Call Wing |
|---|---|---|---|---|
| Calm market | Low | Slightly negative | Moderate | Low |
| Pre-event | Elevated | Near zero | High | High |
| Crisis | Very high | Strongly negative | Very high | Low |
| Euphoria | Moderate | Positive | Low | High |
The relationship between put and call wing slopes tells you the market's directional bias:
- : The market fears downside more than upside (normal for equities/crypto)
- : Symmetric risk (pre-binary event, direction unknown)
- : The market fears upside more (rare, meme-stock/parabolic rally territory)
Converting Between JW and Raw SVI
The two parameterizations describe the same smile. You can convert between them.
Why JW Exists
Raw SVI was designed for fitting. The five parameters are numerically convenient but hard to interpret. When a trader on a vol desk says "steepen the put wing by 2 points," they mean increase . In raw SVI, that same change requires coordinated adjustments to and (and possibly and to keep the fit stable).
JW makes the smile editable by hand. A trader can:
- Bump ATM vol by 1 point (increase )
- Steepen the put wing (increase )
- Flatten the call wing (decrease )
Each change maps to a single parameter. In raw SVI, every intuitive change touches multiple parameters.
Where you see JW in practice
- ORC (now part of Itiviti/Broadridge): The trading system that originated the JW form. Used on many institutional vol desks.
- Bloomberg OVML: Uses a JW-like parameterization for its vol surface editor.
- Internal vol surface editors: Most banks and crypto market makers expose JW-style knobs to traders, even if the underlying model is raw SVI or SSVI.
- Deribit: Their vol surface output can be interpreted in JW terms.
Arbitrage Constraints in JW
The no-arbitrage constraints from raw SVI translate to simple conditions on JW parameters:
- and (wing slopes are non-negative)
- (minimum variance is positive)
- (the minimum is below ATM)
- where (butterfly constraint from raw SVI)
The first three are easy to enforce with slider bounds. The butterfly constraint can be checked after conversion to raw SVI.
See also:
- SVI Parameterization - The raw (a, b, rho, m, sigma) form
- SABR Model - An alternative stochastic vol model
- Interpolation Methods - All methods compared
- How Surfaces Are Built - The full pipeline
- Skew - Understanding strike structure