greeks.pop. The value is a probability from 0.0 to 1.0; the app formats it as a percentage.
What COP Measures
COP is based on the option’s break-even price, not just whether the option expires in the money. For a long call:strike + option_mark.
Inputs
The calculation uses:
The option mark comes from the order book. A two-sided book uses the bid/ask midpoint. A one-sided book may use the available bid or ask as a degraded but real signal.
Formula
Joyride uses the same lognormal model family used for Black-Scholes Greeks. First, it evaluatesd2 at the break-even price:
d2 into a probability with the standard normal cumulative distribution function:
[0.0, 1.0].
Long and Short Display
The server value is always the long-side probability. When the app is showing the sell or short side, it displays the complement:Missing Values
The app renders-- when there is no trustworthy mark to calculate against. This usually means the book is empty or the quote was rejected as crossed.
This is intentional. Using a mark of zero would make break-even equal to the strike and could produce misleading near-100% COP for some in-the-money options.