Papers, ranked by score

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

The Three-Dimensional Decomposition of Volatility Memory

This paper develops a three-dimensional decomposition of volatility memory into orthogonal components of level, shape, and tempo. The framework unifies regime-switching, fractional-integration, and business-time approaches within a single canonical representation that identifies how each dimension g

Holy Grail Math 8.5 Rigor 8 ·  December 1, 2025

Neural Lévy SDE for State--Dependent Risk and Density Forecasting

Financial returns are known to exhibit heavy tails, volatility clustering and abrupt jumps that are poorly captured by classical diffusion models. Advances in machine learning have enabled highly flexible functional forms for conditional means and volatilities, yet few models deliver interpretable s

Holy Grail Math 7.5 Rigor 8.5 ·  September 1, 2025

Lévy-Driven Option Pricing without a Riskless Asset

We extend the Lindquist-Rachev (LR) option-pricing framework–which values derivatives in markets lacking a traded risk-free bond–by introducing common Levy jump dynamics across two risky assets. The resulting endogenous “shadow” short rate replaces the usual risk-free yield and governs discounting

Holy Grail Math 8 Rigor 7.5 ·  July 27, 2025

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