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Probability Density

The price distribution the options market implies at each expiry, taken from option prices (Breeden-Litzenberger). It shows the likeliest settle and how fat each tail is.

PROBPDFCDFCrypto options (BTC, ETH, SOL, HYPE) and US options (45 underlyings). The 3D view is crypto only.

PROB command showing ETH options-implied probability density curves for several expiries

Typing it

PROBSymbol
>PROBETH
Shows the ETH implied price density for every listed expiry.

What you see

  • PDF. Density against price at expiry, one curve per expiry. The peak is the likeliest settle.
  • CDF. The chance of expiring above each price, with a 50% marker.
  • 3D. The density across strike and expiry as one surface.

Pairs well with

SURFACEOPEXSMILEMC