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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.

168,742 papers · 148 categories

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224448672896 · Jun 202019922001200920172026
48 results for insider problem

Researchers tackle insider trading in incomplete markets using a discrete-time jump process approach.

problem Tackles insider trading in incomplete markets under the trinomial model.
method Uses a marked binomial process and stochastic analysis with Malliavin calculus.
result Identifies insider expected additional utility with Shannon entropy of extra information.

Insider trading is one of the numerous white collar crimes that can contribute to the instability of the economy. Traditionally, the detection of illegal insider trades has been a human-driven process. In this paper, we collect the insider tradings made available by the US Securities and Exchange Commissions (SEC) thro…

2017-02-19abs ↗pdf ↗

Study examines insider trading in short-selling restricted markets.

problem Analyzing insider trading opportunities in short-selling prohibited markets.
method Introducing minimal supermartingale measure and analyzing its properties in relation to minimal martingale measure.
result Conditions under which both measures fail to exist, indicating insider information affecting market perception.

We consider the problem of optimal inside portfolio π(t)π(t) in a financial market with a corresponding wealth process X(t)=Xπ(t)X(t)=X^π(t) modelled by \begin{align}\label{eq0.1} \begin{cases} dX(t)&=π(t)X(t)[α(t)dt+β(t)dB(t)]; \quad t\in[0, T] X(0)&=x_0>0, \end{cases} \end{align} where B()B(\cdot) is a Brownian motion. We assum…

2018-01-11abs ↗pdf ↗

Study compares different integrals for optimal portfolio optimization with insider information.

problem Optimizing portfolios in a financial market with insider information.
method Anticipating stochastic calculus and various integrals (Russo-Vallois forward, Ayed-Kuo, Hitsuda-Skorokhod).
result The Hitsuda-Skorokhod and Ayed-Kuo integrals do not provide a financially meaningful investment strategy.

We present a new approach to the optimal portfolio problem for an insider with logarithmic utility. Our method is based on white noise theory, stochastic forward integrals, Hida-Malliavin calculus and the Donsker delta function.

2015-08-26abs ↗pdf ↗

Paper presents a new approach to a strategic insider equilibrium problem in continuous time.

problem Continuous time Kyle-Back model between insider and market marker.
method Uses forward-backward stochastic differential equations (FBSDEs) for characterization of equilibria.
result Characterizes all equilibria through FBSDEs and shows uniqueness of equilibrium without Markovian restrictions.

We present a novel and comprehensive approach to the study of the parametric Plateau problem for locally strictly convex (LSC) hypersurfaces of prescribed curvature for general convex curvature functions inside general Riemannian manifolds. We prove existence of solutions to the Plateau problem with outer barrier for L…

2010-08-20abs ↗pdf ↗

We study arbitrage opportunities, market viability and utility maximization in market models with an insider. Assuming that an economic agent possesses from the beginning an additional information in the form of a random variable G, which only becomes known to the ordinary agents at date T, we give criteria for the No …

2016-08-06abs ↗pdf ↗

Study shows Skorokhod insider outperforms forward insider in logarithmic utility maximization.

problem Maximizing logarithmic utility for an insider with different anticipating techniques.
method Comparison of Russo-Vallois forward and Skorokhod integrals.
result Skorokhod insider outperforms forward insider in logarithmic utility maximization.

Study proves existence and convergence of discrete-time Kyle models with multiple insiders.

problem Existence and convergence of discrete-time Kyle models with multiple informed traders.
method Proves existence and convergence of discrete-time Kyle models with multiple informed traders using mathematical proofs.
result Equilibrium exists and converges to continuous-time equilibrium as the number of trading times increases.

Study risk-averse insider's behavior in dynamic signal asset pricing.

problem Analyzing risk-averse insider's dynamic signal in asset pricing.
method Employing a weak conditioning methodology to construct a Schrödinger bridge, deriving necessary conditions for equilibrium.
result Derive explicit closed-form solutions for important cases.

In this paper, we present a multi-period trading model in the style of Kyle (1985)'s inside trading model, by assuming that there are at least two insiders in the market with long-lived private information, under the requirement that each insider publicly discloses his stock trades after the fact. Based on this model, …

2011-03-04abs ↗pdf ↗

Insider trading is reduced when penalized, affecting expected penalties in a non-monotone way.

problem Reducing insider trading behavior when insiders face legal penalties.
method Characterized via a backward stochastic differential equation (BSDE) with a non-linear operator.
result The insider's expected penalties are non-monotone in the fee structure and determined by relative entropy.

ADSAGE detects anomalies in graph edge sequences for insider threat detection.

problem Detecting insider threats in fine-grained audit logs using graph and text features.
method Anomaly detection at edge level, supporting numeric, categorical, and text attributes.
result ADSAGE detects anomalies in authentications and email communications effectively.

Honest traders can outperform insiders in a Black-Scholes market with positive probability.

problem Comparing the performance of honest and insider traders in a financial market.
method Using anticipating stochastic calculus and forward integral analysis of the Doléans-Dade exponential process.
result The honest trader can achieve higher logarithmic utility and wealth than the insider with positive probability.

Closed-form solutions derived for perpetual options under insider models.

problem Pricing perpetual American standard and lookback options for insiders.
method Closed-form solutions derived using progressively enlarged filtrations and optimal stopping problems.
result Optimal exercise times determined based on asset price maximum or minimum.

Kyle (1985) builds a pioneering and influential model, in which an insider with long-lived private information submits an optimal order in each period given the market maker's pricing rule. An inconsistency exists to some extent in the sense that the ``constant pricing rule " actually assumes an adaptive expected price…

2010-12-10abs ↗pdf ↗

Before a person can be prosecuted and convicted for insider trading, he must first execute the overt act of trading. If no sale of security is consummated, no crime is also consummated. However, through a complex and insidious combination of various financial instruments, one can capture the same amount of gains from i…

2018-05-16abs ↗pdf ↗

In this paper we consider the problem of the quantile hedging from the point of view of a better informed agent acting on the market. The additional knowledge of the agent is modelled by a filtration initially enlarged by some random variable. By using equivalent martingale measures introduced in Amendinger (2000) and …

2008-11-23abs ↗pdf ↗

XGBoost detects unlawful insider trading with high accuracy.

problem Detecting unlawful insider trading from large volumes of transactions.
method Applying eXtreme Gradient Boosting (XGBoost) for identifying and ranking key features.
result XGBoost achieves 97% accuracy in detecting unlawful transactions.

Informed traders strategically reveal noisier signals, making prices less responsive to public information.

problem How informed traders strategically reveal signals impacts market prices and utility.
method Modeling a market with an informed trader, an uninformed trader, and liquidity providers, proving equilibrium existence.
result In equilibrium, the insider strategically reveals a noisier signal, making prices less responsive to public information.

New discrete-time model shows insider trading dynamics.

problem Modeling insider trading with discrete time and noise traders.
method Formulated as a game with three types of traders, including an insider, noise traders, and a market maker. Proved existence of sequential Kyle equilibrium for various distributions and information flows.
result Equilibria exist in mixed strategies but not in pure strategies, unlike in Kyle's original model.

This paper studies the Glosten Milgrom model whose risky asset value admits an arbitrary discrete distribution. Contrast to existing results on insider's models, the insider's optimal strategy in this model, if exists, is not of feedback type. Therefore a weak formulation of equilibrium is proposed. In this weak formul…

2013-10-18abs ↗pdf ↗

We study a multiply warped products manifold associated with the Reissner-Nordstrom metric to investigate the physical properties inside the black hole event horizons. It is shown that, different from the uncharged Schwarzschild metric, the Ricci curvature components inside the Reissner-Nordstrom black hole horizons ar…

2002-04-23abs ↗pdf ↗

Study identifies roots of hyperelliptic involutions and braid groups in mapping class groups.

problem Identifying roots of hyperelliptic involutions and braid groups in mapping class groups.
method Analyzes braid groups and mapping class groups on surfaces of genus nknk.
result Hyperelliptic involutions have infinitely many square and cubic roots.

Illegal insider trading of stocks is based on releasing non-public information (e.g., new product launch, quarterly financial report, acquisition or merger plan) before the information is made public. Detecting illegal insider trading is difficult due to the complex, nonlinear, and non-stationary nature of the stock ma…

2018-07-02abs ↗pdf ↗

We construct an algebraic version of Lagrangian Floer homology for immersed curves inside the pillowcase. We first associate to the pillowcase an algebra A. Then to an immersed curve L inside the pillowcase we associate an A infinity module M(L) over A. Then we prove that Lagrangian Floer homology HF(L,L') is isomorphi…

2017-07-24abs ↗pdf ↗

Study on Kyle-Back model with risk aversion and non-Gaussian beliefs.

problem Existence of equilibrium in Kyle's insider trading model.
method Forward-backward system coupled via optimal transport constraint, stochastic representation, well-posedness of solutions.
result Existence and properties of equilibrium for small risk aversion parameter.

In this paper, we present a multi-period trading model by assuming that traders face not only asymmetric information but also heterogenous prior beliefs, under the requirement that the insider publicly disclose his stock trades after the fact. We show that there is an equilibrium in which the irrational insider camoufl…

2011-05-12abs ↗pdf ↗

In the context of a general semimartingale model of a complete market, we aim at answering the following question: How much is an investor willing to pay for learning some inside information that allows to achieve arbitrage? If such a value exists, we call it the value of informational arbitrage. In particular, we are …

2018-04-02abs ↗pdf ↗

Gradient boosting detects insider purchases predicting abnormal returns in microcap stocks.

problem Predicting abnormal returns in U.S. microcap stocks using insider purchase signals.
method Gradient boosting classifier trained on insider identity, transaction history, and market conditions.
result Gradient boosting classifier achieves AUC of 0.70 on out-of-sample data, with precision and recall of 0.38 and 0.69 respectively.