Why So Serious?
Decomposing the Belief Volatility Smile in Prediction Markets
Prediction market prices are bounded between zero and one, but they are often interpreted with tools borrowed from standard asset pricing. This paper develops a logit-based framework for measuring belief volatility and shows that the apparent smile in implied belief volatility is largely a geometric effect rather than a true information pattern. Using Kalshi FOMC rate-target contracts, the paper also studies how entropy evolves into event resolution and how non-Gaussian belief dynamics can generate meaningful pricing distortions.
Currently being extended to a broader empirical universe of event markets and additional cross-sectional analysis.
PDF