Papers, ranked by score

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

Informative Risk Measures in the Banking Industry: A Proposal based on the Magnitude-Propensity Approach

Despite decades of research in risk management, most of the literature has focused on scalar risk measures (like e.g. Value-at-Risk and Expected Shortfall). While such scalar measures provide compact and tractable summaries, they provide a poor informative value as they miss the intrinsic multivaria

Lab Rats Math 8.5 Rigor 3 ·  November 26, 2025

Strong Solutions and Quantization-Based Numerical Schemes for a Class of Non-Markovian Volatility Models

We investigate a class of non-Markovian processes that hold particular relevance in the realm of mathematical finance. This family encompasses path-dependent volatility models, including those pioneered by [Platen and Rendek, 2018] and, more recently, by [Guyon and Lekeufack, 2023]. Our study unfold

Lab Rats Math 8.5 Rigor 3 ·  February 28, 2025

Efficient simulation of a new class of Volterra-type SDEs

We propose a new theoretical framework that exploits convolution kernels to transform a Volterra-type path-dependent (non-Markovian) stochastic process into a standard (Markovian) diffusion process. Remarkably, it is also possible to go back, i.e., the transformation is reversible. We discuss existe

Lab Rats Math 8.5 Rigor 3 ·  June 5, 2023

Novel exact solutions for PDEs with mixed boundary conditions

We develop methods for the solution of inhomogeneous Robin type boundary value problems (BVPs) that arise for certain linear parabolic Partial Differential Equations (PDEs) on a half line, as well as a second order generalisation. We are able to obtain non-standard solutions to equations arising in

Lab Rats Math 8.5 Rigor 1 ·  November 20, 2023

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