Papers, ranked by score

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

A stochastic correlation extension of the Vasicek credit risk model

In the Vasicek credit portfolio model, tail risk is driven primarily by the asset-correlation parameter, yet empirically is subject to correlation risk. We propose a stochastic correlation extension of the Vasicek framework in which the correlation state evolves as a diffusion on the circle. This re

Holy Grail Math 7.5 Rigor 6.5 ·  March 1, 2026

Diffusion on the circle and a stochastic correlation model

We develop diffusion models for time-varying correlation using stochastic processes defined on the unit circle. Specifically, we study Brownian motion on the circle and the von Mises diffusion, and propose their use as continuous-time models for correlation dynamics. The von Mises process, introduce

Holy Grail Math 7.5 Rigor 6.5 ·  December 9, 2024

Asian option valuation under price impact

We develop a tractable framework for valuing Asian options when trading the underlying generates market impact and execution costs. Starting from a discrete-time, quote-level model, we construct a reference midpoint suitable for Asian payoffs and separate market impact into a transient component and

Lab Rats Math 8 Rigor 3 ·  December 8, 2025

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