Papers, ranked by score

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

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

Criteria for the absence of arbitrage in general diffusion markets

We establish deterministic necessary and sufficient conditions for the no-arbitrage notions NA (“no arbitrage”), NUPBR (“no unbounded profit with bounded risk”) and NFLVR (“no free lunch with vanishing risk”) in general diffusion market models with finite and infinite time horizons. These are single

Lab Rats Math 9 Rigor 1 ·  June 20, 2023

No arbitrage and the existence of ACLMMs in general diffusion models

In a seminal paper, F. Delbaen and W. Schachermayer proved that the classical NA (“no arbitrage”) condition implies the existence of an “absolutely continuous local martingale measure” (ACLMM). It is known that in general the existence of an ACLMM alone is not sufficient for NA. In this paper we inv

Lab Rats Math 8.5 Rigor 1 ·  October 13, 2024

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