7 papers
A Derivative Pricing Perspective on Liquidity Tokens in Constant Product Market Makers
Maxim Bichuch, Zachary Feinstein
In decentralized finance, any individual can pool their assets into an automated market maker (AMM) -- herein we focus on the constant product market maker (CPMM) -- in exchange fo…
The Price of Liquidity: Implied Volatility of Automated Market Maker Fees
Maxim Bichuch, Zachary Feinstein
An automated market maker (AMM) provides a method for creating a decentralized exchange on the blockchain. For this purpose, individual investors lend liquidity to the AMM pool in…
Computing all Nash equilibria of low-rank bi-matrix games
Zachary Feinstein, Andreas Löhne, Birgit Rudloff
We study constrained bi-matrix games, with a particular focus on low-rank games. Our main contribution is a framework that reduces low-rank games to smaller, equivalent constrained…
The not-so-hidden risks of 'hidden-to-maturity' accounting: on depositor runs and bank resilience
Zachary Feinstein, Grzegorz Halaj, Andreas Sojmark
We introduce a simple model of depositor runs to capture run risks at financial institutions based on their balance sheet composition. Specifically, we consider a reduced potential…
Endogenous distress contagion in a dynamic interbank model: how possible future losses may spell doom today
Zachary Feinstein, Andreas Sojmark
We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This…
Axioms for Automated Market Makers: A Mathematical Framework in FinTech and Decentralized Finance
Maxim Bichuch, Zachary Feinstein
Within this work we consider an axiomatic framework for Automated Market Makers (AMMs). AMMs are smart contracts that set prices for swaps on a pool of assets. By imposing reasonab…