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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,341 papers · 148 categories

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3.5%7.1%10.6%14.2% · May 202619922001200920182026
48 results for small trades

High-frequency traders can act as either small informed traders or round-trippers, affecting price discovery and liquidity.

problem Effects of high-frequency trading on price discovery and liquidity.
method Extended Kyle's model with interactions between large informed traders and high-frequency traders.
result High-frequency traders can act as Small-IT or Round-Tripper, impacting price discovery and liquidity.

Optimal trading speeds are reduced by small quadratic costs, with specific velocity regimes identified.

problem Optimal trading speeds in the presence of linear and quadratic costs.
method Matched asymptotic expansion techniques to analyze the effects of small quadratic costs.
result Trading speeds inside a band are reduced by the one-third power of quadratic costs, with specific velocity regimes identified.

Optimizes trading frequencies for multi-asset portfolios with small transaction costs.

problem Investment with multiple assets and small transaction costs.
method Optimizes trading frequencies explicitly for multidimensional diffusion setting, compares to alternatives.
result Explicit formulas for optimal trading frequencies and welfare losses.

An investor with constant absolute risk aversion trades a risky asset with general Itô-dynamics, in the presence of small proportional transaction costs. In this setting, we formally derive a leading-order optimal trading policy and the associated welfare, expressed in terms of the local dynamics of the frictionless op…

2012-09-12abs ↗pdf ↗

Study optimal trading strategies with small price impacts.

problem Optimal portfolio selection in a model with temporary and transient price impacts.
method Derive explicit formulas for asymptotically optimal trading rates and performance losses in the large-liquidity limit.
result Losses are governed by volatility of frictionless target strategy, but optimal portfolio exploits price displacement.

Small trades show unexpected price impact after fee changes.

problem Anomaly in price impact for small transaction volumes post-fee restructuring.
method Reviewed existing master curve for price impact, re-estimated after fee reductions, found anomalies, and rescaled by liquidity proxy.
result Master curve for price impact can be approximated using a liquidity proxy, providing a practical method for practitioners.

In this article we analyse linear correlation and non-linear dependence of traded volume, vv, of the 30 constituents of Dow Jones Industrial Average at different value scales. Specifically, we have raised vv to some real value αα or ββ, which introduces a bias for small (α,β<0 α, β<0) or large (α,β>1α, β>1) values. Our r…

2007-02-21abs ↗pdf ↗

An investor trades a safe and several risky assets with linear price impact to maximize expected utility from terminal wealth. In the limit for small impact costs, we explicitly determine the optimal policy and welfare, in a general Markovian setting allowing for stochastic market, cost, and preference parameters. Thes…

2014-02-21abs ↗pdf ↗

Using a data set which includes all transactions among banks in the Italian money market, we study their trading strategies and the dependence among them. We use the Fourier method to compute the variance-covariance matrix of trading strategies. Our results indicate that well defined patterns arise. Two main communitie…

2006-11-02abs ↗pdf ↗

Study reveals trade dynamics in dry bulk shipping networks, highlighting their randomness and periodic changes.

problem Understanding the randomness and periodic changes in dry bulk shipping networks.
method Analysis of micro-level trade flow data from 2015 to 2023, focusing on grain, coal, and iron ore networks.
result Dry bulk shipping networks exhibit small-world phenomena and periodic life cycles, influenced by importing ports and global events.

An investor with constant relative risk aversion trades a safe and several risky assets with constant investment opportunities. For a small fixed transaction cost, levied on each trade regardless of its size, we explicitly determine the leading-order corrections to the frictionless value function and optimal policy.

2013-06-12abs ↗pdf ↗

We solve exactly a simple model of trend following strategy, and obtain the analytical shape of the profit per trade distribution. This distribution is non trivial and has an option like, asymmetric structure. The degree of asymmetry depends continuously on the parameters of the strategy and on the volatility of the tr…

2005-08-16abs ↗pdf ↗

Optimal trading strategy with predictor and costs, derived equations and shape.

problem Optimal trading strategy in presence of price predictor, costs, and risk control.
method Path-integral method to derive equations for band edges, solved explicitly for Ornstein-Uhlenbeck predictor.
result Explicit equations and shape of the optimal band strategy derived and analyzed.

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of metaorder size, i.e., the impact per share of large metaorders is smaller than that…

2011-02-26abs ↗pdf ↗

This work's purpose is to understand the dynamics of limit order books in order-driven markets. We try to illustrate a dynamical trading mechanism attached to the microstructure of limit order markets. We capture the iterative nature of trading processes, which is critical in the dynamics of bid-ask pairs and the switc…

2013-03-13abs ↗pdf ↗

Study delta-vega hedging for recalibrated options under model uncertainty.

problem Uncertainty in Black-Scholes model and recalibration to market prices.
method Dynamic recalibration of a Black-Scholes model to a liquid vanilla option, delta-vega hedging analysis.
result Delta-vega hedging is asymptotically optimal for small uncertainty aversion.

We find a simple strategy approximating optimal portfolio for short time horizons.

problem Optimizing portfolios in incomplete markets with general utility functions.
method Closed-form formula derived from HJB PDE, approximated by sub- and super-solutions.
result Approximation formula for optimal trading strategy is accurate for small time horizons.

Optimal trading patterns adjust based on market efficiency and slippage costs.

problem Balancing active alphas and trading costs in active portfolios.
method Maximization of utility including projected alpha-based profits, slippage costs, and risk aversion.
result Optimal trading involves a no-trade zone width that scales as Δc1/2Δ\sim c^{1/2}, differing from stochastic settings.

Deep neural network solves portfolio optimization with MGARCH and small transaction costs.

problem Optimizing portfolios with MGARCH and small transaction costs.
method Fixed-point RL algorithm using neural networks.
result NN algorithm shows positive testing performance.

Study examines insider trading with penalties, finding optimal penalties increase quickly for small orders.

problem Analyzing the impact of penalties on insider trading behavior and market efficiency.
method Formal economic model with penalty functions, existence and uniqueness theorems, and optimization.
result Optimal penalties increase quickly for small orders, signaling extreme events and incorporating information into prices.

Research optimizes a small RES utility's portfolio by dynamically trading in German electricity markets.

problem Managing risks in RES producers and electricity traders in changing electricity markets.
method Uses SVAR model to estimate market relationships and data-driven trading strategies to optimize revenue and reduce risk.
result Data-driven trading strategies increase utility revenue and reduce trading risk.

Futures trading is the core of futures business, and it is considered as one of the typical complex systems. To investigate the complexity of futures trading, we employ the analytical method of complex networks. First, we use real trading records from the Shanghai Futures Exchange to construct futures trading networks,…

2010-04-26abs ↗pdf ↗

Unified asymptotics for investment in markets with transaction costs and search frictions.

problem Investment in markets with transaction costs and search frictions.
method Power-utility maximization problem with proportional transaction costs and Poisson-triggered trades, analyzed using a novel asymptotic framework.
result Explicit asymptotics for the no-trade region and value function derived.

Study examines trading strategies against a disorderly liquidation of a large position.

problem Trading against a hedge fund's disorderly liquidation of a risky asset.
method Classified market participants into three types: fully informed, partially informed, and uninformed. Analyzed their optimal trading and wealth processes.
result Different types of investors have distinct optimal trading strategies and wealth processes.

We study trade-based manipulation of stock prices from the perspective of complex trading networks constructed by using detailed information of trades. A stock trading network consists of nodes and directed links, where every trader is a node and a link is formed from one trader to the other if the former sells shares …

2012-12-31abs ↗pdf ↗

Two machine learning methods detect insider trading from investor activity data.

problem Detecting insider trading from trading activity data is challenging.
method Two unsupervised machine learning methods: clustering and group identification.
result Identifies potential insider trading rings around price sensitive events.

This note explores the consequences of nonlinear price impact functions on price dynamics within the chartist-fundamentalist framework. Price impact functions may be nonlinear with respect to trading volume. As indicated by recent empirical studies, a given transaction may cause a large (small) price change if market d…

2004-03-30abs ↗pdf ↗

Study shows how liquidity and trading volume affect price spread in financial markets.

problem Understanding and optimizing price spread in financial markets.
method Analyzes the interplay between order liquidity and order impact, connects spread to microstructural parameters.
result Additional liquidity improves price accuracy and reduces spread up to a certain point, after which it deteriorates.

Complex products trade through fewer countries, making them more fragile.

problem Fragility in the global economy due to centralized trade networks for complex products.
method Used network science and product complexity theory indicators to analyze trade networks.
result Products with higher complexity trade through fewer countries, making them more fragile.

In a market with one safe and one risky asset, an investor with a long horizon, constant investment opportunities, and constant relative risk aversion trades with small proportional transaction costs. We derive explicit formulas for the optimal investment policy, its implied welfare, liquidity premium, and trading volu…

2011-08-04abs ↗pdf ↗

Study classifies stock price data into stationary and non-stationary periods for mechanical trading.

problem Classifying stock price fluctuations into stationary and non-stationary periods for trading.
method Stationarity analysis using KM2_2O-Langevin theory and trend-based indicators for stationary periods, oscillator-based indicators for non-stationary periods.
result Back testing confirms the strategy is a safe trading strategy with small maximum drawdown.