Papers, ranked by score

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

Marketron Through the Looking Glass: From Equity Dynamics to Option Pricing in Incomplete Markets

The Marketron model, introduced by [“Halperin, Itkin, 2025”], describes price formation in inelastic markets as the nonlinear diffusion of a quasiparticle (the marketron) in a multidimensional space comprising the log-price $x$, a memory variable $y$ encoding past money flows, and unobservable retur

Holy Grail Math 9 Rigor 6 ·  August 13, 2025

A Generalized Langevin Model of Latent Liquidity and Concave Price Impact

We model market impact as the response to submitted order flow net of counterflow from latent traders, activated when price displacements from the level that would prevail without the order exceed individual thresholds. Order flow depletes this pool, and a generalized Langevin equation governs its r

Lab Rats Math 8.5 Rigor 3 ·  September 29, 2026

American options valuation in time-dependent jump-diffusion models via integral equations and characteristic functions

Despite significant advancements in machine learning for derivative pricing, the efficient and accurate valuation of American options remains a persistent challenge due to complex exercise boundaries, near-expiry behavior, and intricate contractual features. This paper extends a semi-analytical appr

Lab Rats Math 8.5 Rigor 3 ·  June 23, 2025

Semi-analytical pricing of American options with hybrid dividends via integral equations and the GIT method

This paper introduces a semi-analytical method for pricing American options on assets (stocks, ETFs) that pay discrete and/or continuous dividends. The problem is notoriously complex because discrete dividends create abrupt price drops and affect the optimal exercise timing, making traditional conti

Lab Rats Math 9 Rigor 2 ·  October 20, 2025

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