Papers, ranked by score

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

On the implied volatility of Inverse options under stochastic volatility models

In this paper we study short-time behavior of the at-the-money implied volatility for Inverse European options with fixed strike price. The asset price is assumed to follow a general stochastic volatility process. Using techniques of the Malliavin calculus such as the anticipating It^o’s formula we

Holy Grail Math 8.5 Rigor 6.5 ·  December 31, 2023

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

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

Analytic approximation for Bachelier option prices and applications

It is well-known that, in the Bachelier model, when asset prices and volatilities are uncorrelated, the implied volatility coincides with the fair value of the volatility swap. In this paper, via classical Itô calculus and Taylor expansions, we write the price for out-of-the-money (OTM) and in-the-m

Lab Rats Math 8.5 Rigor 4 ·  May 1, 2026

On the implied volatility of European and Asian call options under the stochastic volatility Bachelier model

In this paper we study the short-time behavior of the at-the-money implied volatility for European and arithmetic Asian call options with fixed strike price. The asset price is assumed to follow the Bachelier model with a general stochastic volatility process. Using techniques of the Malliavin calcu

Lab Rats Math 8.5 Rigor 4 ·  August 29, 2023

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