Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Optimal entry and exit for variance swaps: closed-form rules for the perpetual contract

Variance swaps are a convenient instrument for trading vega and convexity, and a listed contract now trades on Cboe. We ask when a trader should put such a position on and when she should take it off, and for a perpetual, continuously settled contract we answer both in closed form: each threshold is

Lab Rats Math 9 Rigor 4 ·  September 16, 2026

Buying at Support: The Entry Problem under Multi-Skew Brownian Motion

We study when to buy a share that will later be sold optimally, when the price follows a geometric multi-skew Brownian motion whose skew levels model support and resistance. The reward for buying is the exit premium of the liquidation problem solved in a companion paper. This premium is strictly $r$

Lab Rats Math 9 Rigor 2 ·  October 4, 2026

Optimal Liquidation with Support and Resistance Levels under Multi-Skew Brownian Motion

We solve the perpetual liquidation problem for a geometric multi-skew Brownian motion carrying local-time pushes upward at a support level and downward at a resistance level, a model of technical analysis that is Markov in the price alone. Three geometries arise, separated by a closed-form criterion

Lab Rats Math 9 Rigor 2 ·  September 28, 2026

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