Papers, ranked by score

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

From constant to rough: A survey of continuous volatility modeling

In this paper, we present a comprehensive survey of continuous stochastic volatility models, discussing their historical development and the key stylized facts that have driven the field. Special attention is dedicated to fractional and rough methods: we outline the motivation behind them and charac

Lab Rats Math 7.5 Rigor 4.5 ·  September 2, 2023

Cash non-additive risk measures: horizon risk and generalized entropy

Horizon risk (see arXiv:2301.04971) is studied in the context of cash non-additive fully-dynamic risk measures induced by BSDEs. Furthermore, we introduce a risk measure based on generalized Tsallis entropy which can dynamically evaluate the riskiness of losses considering both horizon risk and inte

Lab Rats Math 8.5 Rigor 2.5 ·  January 25, 2024

Power law in Sandwiched Volterra Volatility model

In this paper, we present analytical proof demonstrating that the Sandwiched Volterra Volatility (SVV) model is able to reproduce the power-law behavior of the at-the-money implied volatility skew, provided the correct choice of the Volterra kernel. To obtain this result, we assess the second-order

Lab Rats Math 8.5 Rigor 2.5 ·  November 2, 2023

Capturing cash non-additivity and horizon risk via BSDEs and generalized shortfall

Whenever dealing with horizons of different times scales, risk evaluation of losses may incur in both interest rate uncertainty and horizon risk as introduced in [11]. With the goal to capture both effects, we work with cash subadditive fully-dynamic risk measures. In this work we consider such meas

Lab Rats Math 8.5 Rigor 1.5 ·  March 14, 2026

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