Continuous-time model shows insider trading constraints impact market dynamics.
problem Trading constraints faced by insiders in continuous-time models.
method Proved global existence of equilibrium with terminal trading constraint.
result Equilibrium model aligns with empirical market behaviors.
Paper finds optimal selling rule for pairs trading with stock constraints.
problem Identifying the best time to sell in pairs trading of stocks.
method Optimal pairs-trading selling rule with constraints on trading.
result Closed-form solution for optimal policy determined by a threshold curve.
Investigates trading with integer constraints in discrete time.
problem Trading with discrete, integer quantities under integer constraints.
method Establishes a novel theory of integer arbitrage-free pricing and hedging for non-rational price processes.
result The set of prices of a contingent claim is either empty or dense in an interval.
This paper studies the problem of optimal investment with CRRA (constant, relative risk aversion) preferences, subject to dynamic risk constraints on trading strategies. The market model considered is continuous in time and incomplete. the prices of financial assets are modeled by Itô processes. The dynamic risk constr…
This paper optimizes trading strategies with costs and diversification constraints.
problem Optimizing trading strategies with transaction costs and diversification constraints.
method Historical multi-stage optimal trading with graph generation and search.
result Developed methods for multi-variate multi-stage optimal trading under constraints.
The paper values and hedges derivatives in uncertain models with trading constraints.
problem Valuing and hedging derivatives under model uncertainty and trading constraints.
method Optimal stochastic control problems and backward stochastic differential equations.
result Indifference prices are related to Black-Scholes prices with modified dividend rates.
Extends trading framework to incorporate real-world constraints.
problem Trading strategies in multi-player non-cooperative games with constraints.
method Re-framed as quadratic programming problem, constraints readily incorporated.
result Two-trader equilibria calculated dynamically.
Develops a method for near-optimal asset allocation with trading constraints.
problem Optimizing investment strategies in financial markets with trading constraints.
method Dual-control method using convex duality to generate bounds on optimal value function.
result Derives near-optimal asset allocation explicitly and demonstrates its accuracy in a real financial market.
An investor with constant relative risk aversion and an infinite planning horizon trades a risky and a safe asset with constant investment opportunities, in the presence of small transaction costs and a binding exogenous portfolio constraint. We explicitly derive the optimal trading policy, its welfare, and implied tra…
Investors face reduced risk and performance loss under dynamic risk constraints in continuous vs. discrete trading.
problem Optimizing portfolio under dynamic risk constraints in continuous and discrete time trading.
method Derive dynamic programming equations for stochastic optimal control problems and solve numerically.
result Loss of expected utility due to dynamic risk constraints is significant but manageable.
The paper optimizes investment strategies with constraints for life-cycle models.
problem Maximizing consumption, death benefit, and wealth under trading constraints.
method Deep pricing kernel approach to solve constrained portfolio optimization.
result Individuals reduce consumption, insurance demand, and wealth due to constraints.
Optimal trading and liquidation strategies with signals and regulatory constraints.
problem Optimal trading and liquidation in models with price predictions and regulatory limits.
method Almgren-Chriss model with general signals, target zone models, and lookback option analysis.
result Explicit formulas for optimal liquidation rates in Bachelier and Black-Scholes dynamics.
Optimal trading strategy using LQR framework with price mean-reversion.
problem Developing a dynamic trading strategy in a market with linear and quadratic costs.
method Model Predictive Control (MPC) approach to optimize trading curve with positivity constraints.
result Optimal trading curve reacts opportunistically to price changes while satisfying constraints.
Study arbitrage in financial markets with trading restrictions.
problem Arbitrage in financial markets with trading constraints.
method Portfolio optimization problems and discrete-time setup.
result Solvability of portfolio optimization problems equivalent to absence of first kind arbitrage.
Study optimal transport with backward martingale constraints in financial markets.
problem Optimal transport in financial markets with insider trading constraints.
method Maximal monotone set and minimal cost approach.
result Sharp conditions for uniqueness and representation of optimal transport plans.
Study on market entry timing in stock liquidation with trading constraints.
problem Optimal timing of market entry and exit in portfolio liquidation with trading restrictions.
method Mean-field game approach to model N N N -player and mean-field games of optimal portfolio liquidation. result Existence of unique equilibrium in both mean-field and N N N -player games. Paper solves optimal contract problem for fund managers with capital injections and trading constraints.
problem Optimal contract for a fund manager with capital injections and endogenous trading constraints.
method Reduces the problem to an inverse problem of SPDE, proving well-posedness and computing the solution explicitly in the Black-Scholes model.
result Characterizes the solution to the inverse problem through a Stochastic Partial Differential Equation (SPDE).
Game theory model for optimal trading with end-of-day constraints.
problem Optimal trading strategy in a game between slow and fast traders.
method Coupled stochastic control problems, Fredholm integral equation solution.
result Explicit solution to the game with profitable strategies for both players.
Study shows how capital constraints can lead to systemic crises in financial systems.
problem Impact of regulatory capital constraints on fire sales and financial stability.
method Mean field game model with banks adjusting holdings via trading strategies under regulatory constraints.
result Capital constraints can lead to simultaneous defaults in a substantial proportion of the banking system.
Paper optimizes financial trading strategies under uncertain market conditions.
problem Guaranteeing robust positive expected profits in financial systems.
method Transformed semi-infinite constraints into structured policies and proposed a novel graphical approach.
result Demonstrated superior risk-adjusted returns and downside risk compared to conventional strategies.
The paper explores optimal investment and contingent claim valuation in illiquid markets using convex duality.
problem Optimal investment and contingent claim valuation in markets with nonlinear trading costs and portfolio constraints.
method Convex duality theory applied to markets with general conditions on utility functions and market models.
result Dual expressions decompose into terms for risk preferences, trading costs, and portfolio constraints.
MPC framework reduces execution costs and schedule deviations in trading.
problem Executing large orders in markets under time and liquidity constraints.
method Model Predictive Control (MPC) framework balancing order completion, market impact, and opportunity cost.
result Significant reductions in slippage and schedule shortfall compared to benchmarks.
Study optimal portfolio management with periodic evaluations in stochastic models, considering convex constraints.
problem Optimal portfolio management under ratio-type periodic evaluations in stochastic factor models with convex trading constraints.
method Transformed infinite horizon optimal control problem into an auxiliary terminal wealth optimization problem. Introduced an auxiliary unconstrained optimization problem in a modified market model. Used martingale duality approach to establish dual minimizer and optimal unconstrained wealth process.
result Derived and verified the optimal constrained portfolio process for the original problem over an infinite horizon.
In a discrete-time market, we study model-independent superhedging, while the semi-static superhedging portfolio consists of {\it three} parts: static positions in liquidly traded vanilla calls, static positions in other tradable, yet possibly less liquid, exotic options, and a dynamic trading strategy in risky assets …
Dynamic risk constraints help limit risky behavior in financial portfolios.
problem Static risk measures fail to control tail-risk-seeking traders.
method Introduces dynamic risk constraints applied throughout the trading horizon.
result Dynamic risk constraints can effectively limit risky behavior in portfolios.
The paper explores the trade-off between recommendation system performance and bandwidth usage.
problem Balancing recommendation system performance with wireless bandwidth constraints.
method Analyzes two scenarios: multi-armed bandit with context and latent structure exploitation.
result Demonstrates a tradeoff between regret and bandwidth usage, with tight bounds for some instances.
Deep Hedging learns risk-neutral vol dynamics for option pricing.
problem Statistical arbitrage in market dynamics without transaction costs.
method Numerical approach to train market simulator and find risk-neutral density.
result Risk-neutral model for stochastic implied volatility can be used for pricing or Deep Hedging.
The paper applies thermodynamics to financial markets to prove no-arbitrage constraints.
problem No arbitrage in financial markets under price impact.
method Stochastic thermodynamics applied to financial trading cycles.
result Proves any round-trip trading strategy yields non-positive expected profit.
We consider the problem of utility maximization for small traders on incomplete financial markets. As opposed to most of the papers dealing with this subject, the investors' trading strategies we allow underly constraints described by closed, but not necessarily convex, sets. The final wealths obtained by trading under…
Analyzes robust martingale selection problem and its relation to no-arbitrage theory.
problem Martingale selection problem in a robust setting.
method Derives conditions for solvability and connects to no-arbitrage theory.
result Obtains versions of the Fundamental Theorem of Asset Pricing in various market conditions.
Study adversarial attacks on automated trading systems.
problem Robustness of deep learning models in algorithmic trading.
method New attacks with size constraints to evaluate model robustness.
result Realistic adversarial attacks can fool automated trading systems.
In the economic literature, geographic distances are considered fundamental factors to be included in any theoretical model whose aim is the quantification of the trade between countries. Quantitatively, distances enter into the so-called gravity models that successfully predict the weight of non-zero trade flows. Howe…
New insights into image compression trade-offs with private randomness.
problem Trade-off between compression rate and perceptual quality in image compression.
method Characterization of rate-distortion trade-off with private randomness under different realism constraints.
result Encoder private randomness is not useful if compression rate is below source entropy, even with limited common and decoder private randomness.
Iterative method learns unknown constraints for MPC control.
problem Learning to satisfy unknown polyhedral state constraints in iterative MPC.
method Collects and improves estimates of unknown constraints using collected data, designs an MPC controller to satisfy the estimated constraints.
result Robust and probabilistic guarantees of constraint satisfaction as a function of task iterations.
Developed Forex trading heuristics with high profit potential.
problem Reduced trade opportunities due to technical indicator values.
method Machine learning simulation of 10 years of Forex data.
result Optimized trade parameters for 118 pips daily profit.
In this article, we develop a general framework to study optimal execution and to price block trades. We prove existence of optimal liquidation strategies and we provide regularity results for optimal strategies under very general hypotheses. We exhibit a Hamiltonian characterization for the optimal strategy that can b…
Paper introduces a new model to assess machine learning strategies in high-frequency trading.
problem Evaluating the economic impact of supervised machine learning in high-frequency trading.
method Developed a 'trade information matrix' to attribute profit and loss to correct and incorrect predictions under execution constraints.
result Demonstrated an estimation approach for measuring the sensitivity of P&L to prediction error in a market making strategy.
Proposes a method to create fair ITRs that balance value and fairness.
problem Fairness issues in ITRs that can lead to unfair advantages or disadvantages.
method Optimal transport theory to transform optimal ITRs into fair ITRs.
result Established a theoretical upper bound on value loss for improved trade-off ITRs.
AFLAC improves domain generalization by balancing invariance and accuracy.
problem Balancing domain invariance and classification accuracy for domain generalization.
method Adversarial feature learning with accuracy constraint (AFLAC).
result AFLAC outperforms domain-invariance-based methods on synthetic and real-world datasets.
Meta-gradient D4PG optimizes performance and constraint adherence in RL.
problem Balancing performance and adherence to complex constraints in RL.
method Uses meta-gradients to find a balance between expected return and minimizing constraint violations.
result Meta-gradient D4PG consistently outperforms baselines across MuJoCo domains.
The paper analyzes profitable bidding strategies for BESS in day-ahead and intraday markets.
problem Optimizing profitability of Battery Energy Storage Systems (BESS) in day-ahead and intraday markets.
method Employing the rolling intrinsic approach to model continuous intraday markets, accounting for bid-ask spreads and liquidity constraints.
result Multi-market bidding strategies outperform single-market participation, and relaxing daily cycling constraints can unlock additional value.
We consider the fundamental theorem of asset pricing (FTAP) and hedging prices of options under non-dominated model uncertainty and portfolio constrains in discrete time. We first show that no arbitrage holds if and only if there exists some family of probability measures such that any admissible portfolio value proces…
Paper improves COCO problem, reducing constraint violation at the cost of slightly more regret.
problem Online Convex Optimization with adversarial constraints.
method Proposes new policies that trade off regret for reduced constraint violation.
result Achieves i l d e O ( d T + T β ) ilde{O}(\sqrt{dT}+ T^β) i l d e O ( d T + T β ) regret and i l d e O ( d T 1 − β ) ilde{O}(dT^{1-β}) i l d e O ( d T 1 − β ) CCV. Optimizes trading portfolios considering risk and profit.
problem Balancing risk and profit in trading portfolios.
method Risk-Aware Trading Swarm (RATS) algorithm.
result RATS improves portfolio performance and risk management.
Quantum computing tackles non-convex portfolio optimization with cardinality constraints.
problem Non-convex portfolio optimization problems in asset management.
method Application of quantum annealing with non-linear cardinality constraints.
result Quantum portfolio optimization yields smaller, more profitable portfolios.
In this work, we consider the optimal portfolio selection problem under hard constraints on trading volume amounts when the dynamics of the risky asset returns are governed by a discrete-time approximation of the Markov-modulated geometric Brownian motion. The states of Markov chain are interpreted as the states of an …
New method integrates constraints in spectral clustering for better results.
problem Integrating prior information (cannot-link and must-link constraints) in clustering.
method Generalizes spectral clustering with a tight relaxation of constrained normalized cut.
result Can always satisfy all constraints and optimize a trade-off between cut and violated constraints.
Proposes a Thompson sampling algorithm for multi-objective contextual bandit problems with auxiliary constraints.
problem Real-world applications with multiple competing objectives and auxiliary constraints.
method Thompson sampling algorithm for multi-outcome contextual bandit problems with auxiliary constraints.
result Empirically evaluated and applied to a real-world video transcoding problem.