Papers, ranked by score

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

Optimal Exit Time for Liquidity Providers in Automated Market Makers

We study the problem of optimal liquidity withdrawal for a representative liquidity provider (LP) in an automated market maker (AMM). LPs earn fees from trading activity but are exposed to impermanent loss (IL) due to price fluctuations. While existing work has focused on static provision and exogen

Holy Grail Math 9 Rigor 7 ·  September 8, 2025

Optimal Fees for Liquidity Provision in Automated Market Makers

Passive liquidity providers (LPs) in automated market makers (AMMs) face losses due to adverse selection (LVR), which static trading fees often fail to offset in practice. We study the key determinants of LP profitability in a dynamic reduced-form model where an AMM operates in parallel with a centr

Holy Grail Math 7 Rigor 8 ·  August 11, 2025

Cryptocurrencies and Interest Rates: Inferring Yield Curves in a Bondless Market

In traditional financial markets, yield curves are widely available for countries (and, by extension, currencies), financial institutions, and large corporates. These curves are used to calibrate stochastic interest rate models, discount future cash flows, and price financial products. Yield curves,

Holy Grail Math 6.5 Rigor 6 ·  September 4, 2025

Dispensing with optimal control: a new approach for the pricing and management of share buyback contracts

This paper introduces a novel methodology for the pricing and management of share buyback contracts, overcoming the limitations of traditional optimal control methods, which frequently encounter difficulties with high-dimensional state spaces and the intricacies of selecting appropriate risk penalty

Holy Grail Math 6.5 Rigor 5.5 ·  April 21, 2024

Automated Market Makers: Mean-Variance Analysis of LPs Payoffs and Design of Pricing Functions

With the emergence of decentralized finance, new trading mechanisms called Automated Market Makers have appeared. The most popular Automated Market Makers are Constant Function Market Makers. They have been studied both theoretically and empirically. In particular, the concept of impermanent loss ha

Holy Grail Math 6.5 Rigor 5.5 ·  December 1, 2022

Trading in CEXs and DEXs with Priority Fees and Stochastic Delays

We develop a mixed control framework that combines absolutely continuous controls with impulse interventions subject to stochastic execution delays. The model extends current impulse control formulations by allowing (i) the controller to choose the mean of the stochastic delay of their impulses, and

Lab Rats Math 8.5 Rigor 3.5 ·  February 11, 2026

Optimal Quoting under Adverse Selection and Price Reading

Over the past decade, many dealers have implemented algorithmic models to automatically respond to RFQs and manage flows originating from their electronic platforms. In parallel, building on the foundational work of Ho and Stoll, and later Avellaneda and Stoikov, the academic literature on market ma

Lab Rats Math 8 Rigor 3 ·  August 27, 2025

Optimal hedging of an informed broker facing many traders

This paper investigates the optimal hedging strategies of an informed broker interacting with multiple traders in a financial market. We develop a theoretical framework in which the broker, possessing exclusive information about the drift of the asset’s price, engages with traders whose trading acti

Lab Rats Math 9.5 Rigor 2 ·  June 10, 2025

Competition and Incentives in a Shared Order Book

Recent regulation on intraday electricity markets has led to the development of shared order books with the intention to foster competition and increase market liquidity. In this paper, we address the question of the efficiency of such regulations by analysing the situation of two exchanges sharing

Lab Rats Math 8.5 Rigor 2 ·  September 12, 2025

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