Papers, ranked by score

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

Pricing with Passion: The Local Occupied Volatility (LOV) Model

We introduce the Local Occupied Volatility (LOV) model that sits between Dupire’s local volatility and fully path-dependent dynamics. By design, the LOV model ensures automatic calibration to European vanilla options, while offering the flexibility to capture stylized facts of volatility or fit addi

Holy Grail Math 8.5 Rigor 6.5 ·  April 1, 2026

Bid--Ask Martingale Optimal Transport

Martingale Optimal Transport (MOT) provides a framework for robust pricing and hedging of illiquid derivatives. Classical MOT enforces exact calibration of model marginals to the mid-prices of vanilla options. Motivated by the industry practice of fitting bid and ask marginals to vanilla prices, we

Holy Grail Math 8.5 Rigor 6.5 ·  March 14, 2026

Functional Expansions

Path dependence is omnipresent in many disciplines such as engineering, system theory and finance. It reflects the influence of the past on the future, often expressed through functionals. However, non-Markovian problems are often infinite-dimensional, thus challenging from a conceptual and computat

Lab Rats Math 9 Rigor 3 ·  December 27, 2022

Occupied Processes: Going with the Flow

A stochastic process $X$ becomes occupied when it is enlarged with its occupation flow $\mathcal{O}$ that tracks the time spent by the path at each level. When $X$ is Markov, the occupied process $(\mathcal{O},X)$ enjoys a Markov structure as well. We develop an Itô calculus for occupied processes t

Lab Rats Math 8.5 Rigor 3 ·  November 14, 2023

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