Papers, ranked by score

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

Numerical methods for solving PIDEs arising in swing option pricing under a two-factor mean-reverting model with jumps

This paper concerns the numerical valuation of swing options with discrete action times under a linear two-factor mean-reverting model with jumps. The resulting sequence of two-dimensional partial integro-differential equations (PIDEs) are convection-dominated and possess a nonlocal integral term du

Holy Grail Math 9 Rigor 6 ·  November 3, 2025

Numerical valuation of European options under two-asset infinite-activity exponential Lévy models

We propose a numerical method for the valuation of European-style options under two-asset infinite-activity exponential Lévy models. Our method extends the effective approach developed by Wang, Wan & Forsyth (2007) for the 1-dimensional case to the 2-dimensional setting and is applicable for general

Lab Rats Math 9 Rigor 3 ·  November 4, 2025

Measure-Valued CARMA Processes

In this paper, we examine continuous-time autoregressive moving-average (CARMA) processes on Banach spaces driven by Lévy subordinators. We show their existence and cone-invariance, investigate their first and second order moment structure, and derive explicit conditions for their stationarity. Spec

Lab Rats Math 8.5 Rigor 2 ·  May 13, 2025

The fine structure of electricity price volatility

We conduct the first rigorous study of electricity price volatility for the full panel of electricity prices across three European generation zones. By interpreting the observed day-ahead prices as local averages of a latent price process governed by a stochastic partial differential equation, we de

Lab Rats Math 8 Rigor 2 ·  May 13, 2026

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