Two models are identified for robust cross-impact analysis.
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Investigates cross-impact kernels for financial asset prices.
We extend the "No-dynamic-arbitrage and market impact"-framework of Jim Gatheral [Quantitative Finance, 10(7): 749-759 (2010)] to the multi-dimensional case where trading in one asset has a cross-impact on the price of other assets. From the condition of absence of dynamical arbitrage we derive theoretical limits for t…
Estimates cross-impact on derivatives markets using E-Mini futures and options.
Estimates self- and cross-impact concavity and decay patterns in financial markets.
Study shows integrating OFI from multiple levels improves price impact explanation but not forecasting.
Optimal portfolio choice with cross-impact propagators, solving complex equations.
The study identifies features making cross-impact relevant in explaining price variance of US assets.
We extend the framework of trading strategies of Gatheral [2010] from single stocks to a pair of stocks. Our trading strategy with the executions of two round-trip trades can be described by the trading rates of the paired stocks and the ratio of their trading periods. By minimizing the potential cost arising from cros…
We model the impact costs of a strategy that trades a basket of correlated instruments, by extending to the multivariate case the linear propagator model previously used for single instruments. Our specification allows us to calibrate a cost model that is free of arbitrage and price manipulation. We illustrate our resu…
We reconsider the multivariate Kyle model in a risk-neutral setting with a single, perfectly informed rational insider and a rational competitive market maker, setting the price of n correlated securities. We prove the unicity of a symmetric, positive definite solution for the impact matrix and provide insights on its …
We construct a price impact model between stocks in a correlated market. For the price change of a given stock induced by the short-run liquidity of this stock itself and of the information about other stocks, we introduce a self- and a cross-impact function of the time lag. We model the average cross-response function…
Model explains yield curve dynamics using order flow shocks.
A risk-averse agent hedges her exposure to a non-tradable risk factor using a correlated traded asset and accounts for the impact of her trades on both factors. The effect of the agent's trades on is referred to as cross-impact. By solving the agent's stochastic control problem, we obtain a closed-form expr…
Study optimizes trading in multiple assets with cross-effects.
Paper solves optimal portfolio deleveraging with cross asset impacts.
We provide an asymptotic expansion of the value function of a multidimensional utility maximization problem from consumption with small non-linear price impact. In our model cross-impacts between assets are allowed. In the limit for small price impact, we determine the asymptotic expansion of the value function around …
The composition of natural liquidity has been changing over time. An analysis of intraday volumes for the S&P500 constituent stocks illustrates that (i) volume surprises, i.e., deviations from their respective forecasts, are correlated across stocks, and (ii) this correlation increases during the last few hours of the …
The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible contagion effects. Transactions in fact mediate a significant part of the correlatio…
The price impact for a single trade is estimated by the immediate response on an event time scale, i.e., the immediate change of midpoint prices before and after a trade. We work out the price impacts across a correlated financial market. We quantify the asymmetries of the distributions and of the market structures of …
Study examines Bitcoin market fragmentation and price formation, revealing market leader-lagger dynamics and trading strategies.