Papers, ranked by score

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

Robust option pricing with volatility term structure -- An empirical study for variance options

The robust option pricing problem is to find upper and lower bounds on fair prices of financial claims using only the most minimal assumptions. It contrasts with the classical, model-based approach and gained prominence in the wake of the 2008 financial crisis, and can be used to understand the exte

Holy Grail Math 7 Rigor 6.5 ·  December 14, 2023

Utility Maximisation with Model-independent Constraints

We consider an agent who has access to a financial market, including derivative contracts, who looks to maximise her utility. Whilst the agent looks to maximise utility over one probability measure, or class of probability measures, she must also ensure that the mark-to-market value of her portfolio

Lab Rats Math 8.5 Rigor 3 ·  December 30, 2025

A measure-valued HJB perspective on Bayesian optimal adaptive control

We consider a Bayesian adaptive optimal stochastic control problem where a hidden static signal has a non-separable influence on the drift of a noisy observation. Being allowed to control the specific form of this dependence, we aim at optimising a cost functional depending on the posterior distribu

Lab Rats Math 9.5 Rigor 1.5 ·  February 18, 2025

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