Papers, ranked by score

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

Entropy-regularized penalization schemes and reflected BSDEs with singular generators

This paper extends our previous work to continuous-time optimal stopping, focusing on American options in an exploratory setting. Our first contribution is an entropy-regularized penalization scheme, inspired by classical penalization techniques for reflected BSDEs. It yields a smooth approximation

Lab Rats Math 9 Rigor 2.5 ·  February 20, 2026

A Monotone Limit Approach to Entropy-Regularized American Options

Recent advances in continuous-time optimal stopping have been driven by entropy-regularized formulations of randomized stopping problems, with most existing approaches relying on partial differential equation methods. In this paper, we propose a fully probabilistic framework based on the Doob-Meyer-

Lab Rats Math 8.5 Rigor 2.5 ·  February 20, 2026

Well-posedness and penalization schemes for generalized BSDEs and reflected generalized BSDEs

The paper is directly motivated by the pricing of vulnerable European and American options in a general hazard process setup and a related study of the corresponding pre-default backward stochastic differential equations (BSDE) and pre-default reflected backward stochastic differential equations (RB

Lab Rats Math 9.2 Rigor 1.5 ·  December 25, 2022

Vulnerable European and American Options in a Market Model with Optional Hazard Process

We study the upper and lower bounds for prices of European and American style options with the possibility of an external termination, meaning that the contract may be terminated at some random time. Under the assumption that the underlying market model is incomplete and frictionless, we obtain dual

Lab Rats Math 8.5 Rigor 1.5 ·  December 25, 2022

Perpetual American Standard and Lookback Options in Insider Models with Progressively Enlarged Filtrations

We derive closed-form solutions to the optimal stopping problems related to the pricing of perpetual American standard and lookback put and call options in the extensions of the Black-Merton-Scholes model with progressively enlarged filtrations. More specifically, the information available to the in

Lab Rats Math 9 Rigor 1 ·  July 4, 2025

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