Papers, ranked by score

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

Volatility Modeling with Rough Paths: A Signature-Based Alternative to Classical Expansions

We study two complementary methodologies for calibrating implied volatility surfaces: analytical approximations and data-driven models based on rough path theory. On the analytical side, we revisit a second-order asymptotic expansion for the Heston model, and we propose a new, VIX-based calibration

Holy Grail Math 8 Rigor 6 ·  July 31, 2025

Computation of Greeks under rough Volterra stochastic volatility models using the Malliavin calculus approach

Using Malliavin calculus techniques, we obtain formulas for computing Greeks under different rough Volterra stochastic volatility models. Due to the fact that underlying prices are not always square integrable, we extend the classical integration by parts formula to integrable but not necessarily sq

Lab Rats Math 9.2 Rigor 4.5 ·  December 1, 2023

Short-time behavior of the At-The-Money implied volatility for the jump-diffusion stochastic volatility Bachelier model

In this paper we use Malliavin Calculus techniques in order to obtain expressions for the short-time behavior of the at-the-money implied volatility (ATM-IV) level and skew for a jump-diffusion stock price. The diffusion part is assumed to be the stochastic volatility Bachelier model and the jumps a

Lab Rats Math 8.5 Rigor 4.5 ·  March 28, 2025

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