Liquidity Providers Greeks and Impermanent Gain

In traditional finance, the Black & Scholes model has guided almost 50 years of derivatives pricing, defining a standard to model any volatility-based product. With the rise of Decentralized Finance (DeFi) and constant product Automated Market Makers (AMMs), Liquidity Providers (LPs) are playing an

February 23, 2023 · 2 min · thequant.space

Multi-kernel property in high-frequency price dynamics under Hawkes model

This study investigates and uses multi-kernel Hawkes models to describe a high-frequency mid-price process. Each kernel represents a different responsive speed of market participants. Using the conditional Hessian, we examine whether the numerical optimizer effectively finds the global maximum of th

February 23, 2023 · 2 min · thequant.space

Complexity-Approximation Trade-offs in Exchange Mechanisms: AMMs vs. LOBs

This paper presents a general framework for the design and analysis of exchange mechanisms between two assets that unifies and enables comparisons between the two dominant paradigms for exchange, constant function market markers (CFMMs) and limit order books (LOBs). In our framework, each liquidity

February 22, 2023 · 3 min · thequant.space

Dynamic Debt Swapping in Financial Networks

A debt swap is an elementary edge swap in a directed, weighted graph, where two edges with the same weight swap their targets. Debt swaps are a natural and appealing operation in financial networks, in which nodes are banks and edges represent debt contracts. They can improve the clearing payments a

February 22, 2023 · 2 min · thequant.space

FTX's downfall and Binance's consolidation: The fragility of centralised digital finance

This paper investigates the causes of the FTX digital currency exchange’s failure in November 2022. We identify the collapse of the Terra-Luna ecosystem as the pivotal event that triggered a significant decrease in the exchange’s liquidity. Analysing on-chain data, we report that FTX heavily relied

February 22, 2023 · 2 min · thequant.space

Pairwise counter-monotonicity

We systematically study pairwise counter-monotonicity, an extremal notion of negative dependence. A stochastic representation and an invariance property are established for this dependence structure. We show that pairwise counter-monotonicity implies negative association, and it is equivalent to joi

February 22, 2023 · 2 min · thequant.space

The inverse Cox-Ingersoll-Ross process for parsimonious financial price modeling

We propose a formulation to construct new classes of financial price processes based on the insight that the key variable driving prices $P$ is the earning-over-price ratio $γ\simeq 1/P$, which we refer to as the earning yield and is analogous to the yield-to-maturity of an equivalent perpetual bond

February 22, 2023 · 2 min · thequant.space

Convex scalarizations of the mean-variance-skewness-kurtosis problem in portfolio selection

We consider the multi-objective mean-variance-skewness-kurtosis (MVSK) problem in portfolio selection, with and without shorting and leverage. Additionally, we define a sparse variant of MVSK where feasible portfolios have supports contained in a chosen class of sets. To find the MVSK problem’s Pare

February 21, 2023 · 2 min · thequant.space

Optimal investment with a noisy signal of future stock prices

We consider an investor who is dynamically informed about the future evolution of one of the independent Brownian motions driving a stock’s price fluctuations. With linear temporary price impact the resulting optimal investment problem with exponential utility turns out to be not only well posed, bu

February 21, 2023 · 1 min · thequant.space

Exploring the Advantages of Transformers for High-Frequency Trading

This paper explores the novel deep learning Transformers architectures for high-frequency Bitcoin-USDT log-return forecasting and compares them to the traditional Long Short-Term Memory models. A hybrid Transformer model, called \textbf{HFformer}, is then introduced for time series forecasting which

February 20, 2023 · 2 min · thequant.space

Monetary Policy, Digital Assets, and DeFi Activity

This paper studies the effects of unexpected changes in US monetary policy on digital asset returns. We use event study regressions and find that monetary policy surprises negatively affect BTC and ETH, the two largest digital assets, but do not significantly affect the rest of the market. Second, w

February 20, 2023 · 2 min · thequant.space

Revealing production networks from firm growth dynamics

We study the correlation structure of firm growth rates. We show that most firms are correlated because of their exposure to a common factor but that firms linked through the supply chain exhibit a stronger correlation on average than firms that are not. Removing this common factor significantly red

February 20, 2023 · 2 min · thequant.space

Spatio-Temporal Momentum: Jointly Learning Time-Series and Cross-Sectional Strategies

We introduce Spatio-Temporal Momentum strategies, a class of models that unify both time-series and cross-sectional momentum strategies by trading assets based on their cross-sectional momentum features over time. While both time-series and cross-sectional momentum strategies are designed to systema

February 20, 2023 · 2 min · thequant.space

The financial health of a company and the risk of its default: Back to the future

We theorize the financial health of a company and the risk of its default. A company is financially healthy as long as its equilibrium in the financial system is maintained, which depends on the cost attributable to the probability that equilibrium may decay. The estimate of that probability is base

February 20, 2023 · 2 min · thequant.space

Auto.gov: Learning-based Governance for Decentralized Finance (DeFi)

Decentralized finance (DeFi) is an integral component of the blockchain ecosystem, enabling a range of financial activities through smart-contract-based protocols. Traditional DeFi governance typically involves manual parameter adjustments by protocol teams or token holder votes, and is thus prone t

February 19, 2023 · 2 min · thequant.space

Co-trading networks for modeling dynamic interdependency structures and estimating high-dimensional covariances in US equity markets

The time proximity of trades across stocks reveals interesting topological structures of the equity market in the United States. In this article, we investigate how such concurrent cross-stock trading behaviors, which we denote as co-trading, shape the market structures and affect stock price co-mov

February 18, 2023 · 2 min · thequant.space

Cryptocurrencies Are Becoming Part of the World Global Financial Market

In this study the cross-correlations between the cryptocurrency market represented by the two most liquid and highest-capitalized cryptocurrencies: bitcoin and ethereum, on the one side, and the instruments representing the traditional financial markets: stock indices, Forex, commodities, on the oth

February 18, 2023 · 2 min · thequant.space

Form 10-K Itemization

Form 10-K report is a financial report disclosing the annual financial state of a public company. It is an important evidence to conduct financial analysis, i.e., asset pricing, corporate finance. Practitioners and researchers are constantly designing algorithms to better conduct analysis on informa

February 18, 2023 · 2 min · thequant.space

Optimal Mix Among PAYGO, EET and Individual Savings

In order to deal with the aging problem, pension system is actively transformed into the funded scheme. However, the funded scheme does not completely replace PAYGO (Pay as You Go) scheme and there exist heterogeneous mixes among PAYGO, EET (Exempt, Exempt, Taxed) and individual savings in different

February 18, 2023 · 2 min · thequant.space

Generative Ornstein-Uhlenbeck Markets via Geometric Deep Learning

We consider the problem of simultaneously approximating the conditional distribution of market prices and their log returns with a single machine learning model. We show that an instance of the GDN model of Kratsios and Papon (2022) solves this problem without having prior assumptions on the market'

February 17, 2023 · 1 min · thequant.space