Papers, ranked by score

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

Rough SABR Forward Market Model

This paper advances interest rate modeling in the post-LIBOR era by introducing rough stochastic volatility into the Forward Market Model (FMM). We establish a rigorous asymptotic expansion of swaption implied volatility, connecting the FMM to a rough Bergomi-type framework for forward swap rates. T

Holy Grail Math 8.5 Rigor 5 ·  September 30, 2025

When to efficiently rebalance a portfolio

A constant weight asset allocation is a popular investment strategy and is optimal under a suitable continuous model. We study the tracking error for the target continuous rebalancing strategy by a feasible discrete-in-time rebalancing under a general multi-dimensional Brownian semimartingale model

Lab Rats Math 8.5 Rigor 3 ·  August 17, 2023

On the Skew Stickiness Ratio

The skew stickiness ratio is a statistic that captures the joint dynamics of an asset price and its volatility. We derive a representation formula for this quantity using the Itô-Wentzell and Clark-Ocone formulae, and we apply it to analyze its asymptotics under Bergomi-type stochastic volatility mo

Lab Rats Math 8.5 Rigor 2.5 ·  February 5, 2026

Short-maturity skew stickiness ratio under local volatility

We prove that the skew stickiness ratio converges to two at short maturity under local volatility models. This appears to be the first rigorous proof of this limit for a general time-dependent local volatility function. As a by-product, we strengthen the one-half rule of the implied volatility skew

Lab Rats Math 9 Rigor 2 ·  September 10, 2026

Martingale expansion for stochastic volatility

The martingale expansion provides a refined approximation to the marginal distributions of martingales beyond the normal approximation implied by the martingale central limit theorem. We develop a martingale expansion framework specifically suited to continuous stochastic volatility models. Our appr

Lab Rats Math 8.5 Rigor 2 ·  January 14, 2026

Model-free Hedging of Impermanent Loss in Geometric Mean Market Makers

We consider Geometric Mean Market Makers – a special type of Decentralized Exchange – with two types of users: liquidity takers and arbitrageurs. Liquidity takers trade at prices that can create arbitrage opportunities, while arbitrageurs align the exchange’s price with the external market price.

Lab Rats Math 7.5 Rigor 2.5 ·  March 20, 2023

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