Papers, ranked by score

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

Calibration of the Bass Local Volatility model

The Bass local volatility model introduced by Backhoff-Veraguas, Beiglböck, Huesmann, and Källblad is a Markov model perfectly calibrated to vanilla options at finitely many maturities, that approximates the Dupire local volatility model. Conze and Henry-Labordère show that its calibration can be ac

Lab Rats Math 8.5 Rigor 3 ·  November 24, 2023

$q_x$-Bass Martingales: Optimality, Existence and Convergence

We introduce the class of $q_x$-Bass martingales, extending the notion of $q$-Bass martingales. These are martingale couplings with prescribed marginals whose transition kernels are closest to a given family of reference kernels $(q_x)_{x \in \mathbb R^d}$ in the sense of a suitable weak optimal tra

Lab Rats Math 9 Rigor 2 ·  October 14, 2026

Dynamic reinsurance via martingale transport

We formulate a dynamic reinsurance problem in which the insurer seeks to control the terminal distribution of its surplus while minimizing the L2-norm of the ceded risk. Using techniques from martingale optimal transport, we show that, under suitable assumptions, the problem admits a tractable solut

Lab Rats Math 8.5 Rigor 2 ·  January 15, 2026

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