Papers, ranked by score

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

Pricing and hedging for a sticky diffusion

We introduce a financial market model featuring a risky asset whose price follows a sticky geometric Brownian motion and a riskless asset that grows with a constant interest rate $r\in \mathbb R $. We prove that this model satisfies No Arbitrage (NA) and No Free Lunch with Vanishing Risk (NFLVR) onl

Lab Rats Math 8 Rigor 3 ·  November 28, 2023

On weak notions of no-arbitrage in a 1D general diffusion market with interest rates

We establish deterministic necessary and sufficient conditions for the no-arbitrage notions “no increasing profit” (NIP), “no strong arbitrage” (NSA) and “no unbounded profit with bounded risk” (NUPBR) in one-dimensional general diffusion markets. These are markets with one risky asset, which is mod

Lab Rats Math 9.5 Rigor 1 ·  March 18, 2025

On the structure of increasing profits in a 1D general diffusion market with interest rates

In this paper, we investigate a financial market model consisting of a risky asset, modeled as a general diffusion parameterized by a scale function and a speed measure, and a bank account process with a constant interest rate. This flexible class of financial market models allows for features such

Lab Rats Math 9 Rigor 1 ·  December 8, 2025

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