Portfolio Greeks
Portfolio ThetaΘ
Time decay per day
Portfolio DeltaΔ
Net probability sensitivity
Portfolio Vegaν
Volatility sensitivity
Avg Lambdaλ
Weighted avg leverage
Portfolio Rhoρ
Opportunity cost (locked capital)
Portfolio Kappaκ
Edge sensitivity p(1-p)
Greek Definitions
Θ Theta
Time decay per day. Negative for long positions. Magnitude peaks at p=0.5 and increases as resolution nears. Formula: -contracts × p(1-p) / days.
Δ Delta
Probability sensitivity. Binary in prediction markets: +contracts for YES positions, -contracts for NO positions.
ν Vega
Volatility sensitivity. Peaks at p=0.5, decays at extremes, scales with sqrt(time). Formula: contracts × sqrt(p(1-p)) × sqrt(days/365.25).
ρ Rho
Opportunity cost. Always negative — measures capital locked in the position relative to the risk-free rate. Formula: -contracts × entry_price × (days/365.25) × rate.
λ Lambda
Leverage ratio. For fully collateralized prediction markets, equals 1/entry_price. Always ≥ 1.
κ Kappa
Edge sensitivity. Measures sensitivity to information/correlation changes. Formula: contracts × p(1-p). Peaks at p=0.5.