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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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48 results for capital constraints

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.

Study examines how business units can benefit from group cohesion under regulatory constraints.

problem Regulatory constraints limit business units' ability to form a single cohesive group.
method Defined and analyzed cohesive risk measures to minimize capital costs.
result Cohesive risk measures allow groups to achieve minimal capital costs without altering individual liabilities.

Optimizes bank capital structure under Basel III constraints, simplifying complex dynamics.

problem Optimizing risky investments, dividends, and capital structure under Basel III constraints.
method Formulated as a stochastic control problem, reducing dynamics to a one-dimensional process in leverage ratio.
result Simple policy: pay dividends at an upper barrier and recapitalize at the distress boundary.

Optimal dividend strategy with ratcheting and capital injection under Cramér-Lundberg model.

problem Optimal dividend payout for an insurance company with ratcheting constraints and capital injections.
method Systematic probabilistic and PDE-based approach to solve HJB equation, constructing strong solution and optimal strategy.
result Existence and uniqueness of strong solution, explicit optimal feedback control strategy.

We consider the problem of minimizing capital at risk in the Black-Scholes setting. The portfolio problem is studied given the possibility that a correlation constraint between the portfolio and a financial index is imposed. The optimal portfolio is obtained in closed form. The effects of the correlation constraint are…

2014-11-24abs ↗pdf ↗

The paper optimizes dividend strategies for companies with assets and liabilities under solvency constraints.

problem Maximizing dividends while adhering to solvency requirements in the face of correlated asset and liability movements.
method Developed verification lemmas to show optimal barrier dividend strategies in two cases: with and without shareholder funding.
result Optimal dividend strategies are barrier-type, derived in closed form and illustrated.

In order to scale transaction rates for deployment across the global web, many cryptocurrencies have deployed so-called "Layer-2" networks of private payment channels. An idealized payment network behaves like a Credit Network, a model for transactions across a network of bilateral trust relationships. Credit Networks …

2019-10-05abs ↗pdf ↗

Reinsurance can help life insurers maintain higher capital guarantees without losing utility.

problem Decreasing capital guarantees in life insurance products.
method Dynamic investment-reinsurance optimization problem with simultaneous Value-at-Risk and no-short-selling constraints. Introduced guarantee-equivalent utility gain for comparison.
result Optimally managed reinsurance allows insurers to offer higher capital guarantees without reducing expected utility.

Study optimal consumption with relaxed benchmarks and drawdown constraints.

problem Optimal consumption under relaxed benchmark tracking and consumption drawdown constraint.
method Transformed stochastic control problem into regular control problem with state-control constraints, then solved using dual transform and optimal consumption behavior.
result Closed-form solution for optimal investment and consumption in feedback form.

Optimal portfolio tracking with dynamic capital injection into a ratcheting benchmark.

problem Optimizing a portfolio's performance by dynamically adding capital to a non-decreasing benchmark.
method Formulated as an unconstrained control problem with a running maximum cost, transformed into an auxiliary problem with a nonlinear HJB equation, solved using probabilistic representation and stochastic flow analysis.
result Established the existence of a unique classical solution to the HJB equation, providing feedback optimal portfolio strategies.

Model explains capital allocation and wealth distribution dynamics in a frictional economy.

problem Understanding capital allocation and wealth distribution dynamics in a frictional economy.
method Mean-field game approach to model interactions between expert and household groups.
result Experts accumulate capital during booms and quickly reverse behavior in busts, even without macro-shocks.

Derives equations for capital deepening in a competitive economy without assuming a production function.

problem Understanding capital deepening and firm survival in a competitive economy.
method Derives equations of motion from accounting identities, without assuming a production function. Uses four coupled relaxation equations to govern capital productivity, labor share, and new investment productivity.
result A 1% improvement in new-capital productivity nearly doubles the aggregate growth rate within one capital lifetime.

Consider an agent who enters a financial market on day t = 0 with an initial capital amount x. He invests this amount on stocks and the money market, and by day t = T, has generated a wealth W . He is given a convex class of probability measures (called scenarios) and a real-valued function (or floors) corresponding to…

2006-01-25abs ↗pdf ↗

Financial institutions are currently required to meet more stringent capital requirements than they were before the recent financial crisis; in particular, the capital requirement for a large bank's trading book under the Basel 2.5 Accord more than doubles that under the Basel II Accord. The significant increase in cap…

2013-08-06abs ↗pdf ↗

Study uses VC correlation to uncover directional financial relationships.

problem Understanding causal relationships between financial variables.
method Volatility constrained correlation (VC correlation) method.
result Operating income is most influential, while market capitalization and revenue are most susceptible.

The study tests a functional-form restriction on risk exposure dynamics using margin debt data.

problem Understanding risk exposure dynamics under capital constraints and slack.
method Testing a regime-conditional functional-form restriction on aggregate risk-exposure dynamics implied by VaR-constrained intermediary models.
result The contraction and growth of exposures under capital constraints and slack are observed and tested.

Hybrid framework optimizes reinsurance using generative models and reinforcement learning.

problem Traditional reinsurance optimization relies on restrictive assumptions and static designs.
method Combines VAEs for joint distribution learning and PPO for dynamic treaty parameter adaptation.
result Hybrid method produces more resilient outcomes with higher surpluses and lower tail risk.

Study examines how insurance affects households prone to proportional losses, especially those near poverty.

problem Impact of insurance on households susceptible to proportional losses, focusing on poverty traps.
method Modelled proportional capital losses with insurance, derived closed formulae and non-local differential equations.
result New formulae and methods to calculate trapping probability, constraints on parameters to prevent certainty of trapping.

Proposes an efficient method for sparse index tracking with 0\ell_0-norm constraints.

problem Constructing a sparse portfolio to track a financial index.
method Formulates a new problem using 0\ell_0-norm constraints, develops an efficient algorithm based on primal-dual splitting.
result Demonstrates effectiveness through experiments on S&P500 and Russell3000 datasets.

The paper analyzes bank decisions in a three-step model, focusing on equity and debt raising.

problem Bank decision-making in a three-time-step model with equity and debt raising.
method Theoretical analysis of raising new equity and debt, considering capital requirements and equity holders constraints.
result Raising equity and debt can increase or decrease return on equity, depending on specific cases.

The study examines how limited liability and haircut affect a bank's loan portfolio's liquidity risk.

problem Impact of limited liability and haircut on a bank's loan portfolio's liquidity risk.
method Constructed a novel loan portfolio model with limited liability and haircut constraint, analyzed at three time steps.
result Model with haircut constraint leads to lesser liquidity risk.

This study finds ESG rating disagreement reduces corporate productivity, especially in certain types of firms.

problem The impact of ESG rating disagreement on corporate productivity.
method Analysis of A-share listed companies data from 2015 to 2022 using XGBoost regression and SHAP.
result ESG rating disagreement reduces corporate productivity, especially in certain types of firms.

The paper refines and generalizes worst-case law invariant convex risk measures.

problem Developing robust convex risk measures under uncertainty sets.
method Generalizing closed forms for worst-case law invariant convex risk measures with uncertainty sets based on norms and moment constraints.
result Explicit closed forms for convex risk measures are developed and assessed through numerical simulations.

This paper studies the optimal dividend problem with capital injection under the constraint that the cumulative dividend strategy is absolutely continuous. We consider an open problem of the general spectrally negative case and derive the optimal solution explicitly using the fluctuation identities of the refracted-ref…

2017-09-19abs ↗pdf ↗

New method optimizes portfolios by dynamically integrating ESG constraints.

problem Static ESG scores mismatch sequential portfolio decisions.
method MACF-X, a family of adapters that learns ESG costs from multimodal evidence.
result Reduces tail ESG budget pressure while maintaining financial performance.

The paper extends Merton's problem by adding benchmark tracking, finding optimal strategies.

problem Maximizing consumption utility with a trade-off against benchmark performance.
method Developed a convex duality theorem and derived optimal strategies for specific cases.
result Found optimal portfolio and consumption strategies for CRRA utility and geometric Brownian motion benchmarks.

The paper explores capital allocation using Euler formula with VaR and ES, revealing non-monotonicity and providing estimation methods.

problem Non-monotonicity in VaR-based capital allocation and the need for consistent risk measures.
method Use of Euler formula, Value-at-Risk (VaR), Expected shortfall (ES), simulation, and Markov chain Monte Carlo.
result Capital allocation with VaR is not monotonous, and consistent risk measures are crucial.

Study finds stock prices rarely appreciate during capital inflows but often appreciate during normal flows.

problem Understanding stock price behavior during capital inflows and outflows.
method Identified capital flow episodes using threshold and k-means clustering; detected stock index changepoints using PELT method; combined results over identified capital flows.
result Stock prices rarely appreciate during capital inflows but often appreciate during normal flows.