Papers, ranked by score

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

An Axiomatic Viewpoint on the Rogers--Veraart and Suzuki--Elsinger Models of Systemic Risk

We study a model of clearing in an interbank network with crossholdings and default charges. Following the Eisenberg–Noe approach, we define the model via a set of natural financial regulations including those related with eventual default charges and derive a finite family of fixpoint problems. Th

Lab Rats Math 8 Rigor 2.5 ·  December 26, 2022

Optimal pair trading: consumption-investment problem

We expose a simple solution of the consumption-investment problem pair trading. The proof is based on the remark that the HJB equation can be reduced to a linear parabolic equation solvable explicitly.

Lab Rats Math 7.5 Rigor 2.5 ·  December 11, 2023

On convergence of the Mayer problems arising in the theory of financial markets with transaction cost

The geometric approach to financial markets with proportional transaction cost prescribes to imbed a specific model (of stock market, of currency market etc.), usually given in a parametric form, into a natural framework defined by the two random processes, S and K. The first one, d-dimensional, mod

Lab Rats Math 8.5 Rigor 1.5 ·  May 12, 2026

On the entropy minimal martingale measure in the exponential Ornstein-Uhlenbeck stochastic volatility model

We consider a stochastic volatility model where the price evolution depend on the exponential of the Ornstein–Uhlenbeck process. After a brief revision of the related theory the entropy-minimal equivalent martingale measure. is calculated.

Lab Rats Math 6.5 Rigor 2.5 ·  January 4, 2025

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