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

The second-order Esscher martingale densities for continuous-time market models

In this paper, we introduce the second-order Esscher pricing notion for continuous-time models. Depending whether the stock price $S$ or its logarithm is the main driving noise/shock in the Esscher definition, we obtained two classes of second-order Esscher densities called linear class and exponent

Lab Rats Math 9.2 Rigor 1.5 ·  July 4, 2024

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