Simulation reveals relationships in stock market pyramid schemes.
problem Understanding pyramid scheme behavior in stock markets.
method Agent-based simulation with four investor types and parameters.
result Relationships between main fund's rate of return and trend investors' proportion.
Novel IMEX scheme solves financial PDEs with mixed derivatives.
problem Numerical approximations for financial PDEs with mixed derivatives.
method Second order finite volume IMEX Runge-Kutta scheme.
result Achieves true second order convergence with non-regular initial conditions.
A new financial system with ethics risk modeled using fractional calculus.
problem Modeling financial systems with ethical considerations and market confidence.
method Introduced a five-dimensional conformable derivative financial system and a discretization scheme.
result Numerical solutions of the conformable derivative system were tested for hyperchaos.
A new scheme for FBSDEs simplifies computation without Monte Carlo.
problem Numerical solution for decoupled FBSDEs with reduced complexity.
method Recursive marginal quantization for fully quantization-based scheme.
result Effective numerical procedure for financial applications.
Online surveillance detects systemic risk in financial markets.
problem Detecting and monitoring systemic risk in financial markets.
method Online monitoring procedures for multiple series, controlling for false rejections.
result Procedures allow timely detection of financial distress.
Paper proposes financial schemes that exploit the Axiom of Choice for quick gains.
problem Financial quick gains through non-degenerate price paths.
method Trading schemes based on the Axiom of Choice, considering continuous and positive price paths.
result Schemes can lead to infinite wealth under certain conditions, but are impractical due to the Axiom of Choice.
Deep learning predicts financial trends with profitable trading strategy.
problem Predicting temporal trends of stocks and ETFs in financial markets.
method Data-driven deep learning approach using neural networks trained on raw financial data.
result Deep learning scheme provides statistically significant accurate predictions and profitable trading strategy.
Optimal interbank lending scheme with probabilistic bank failure constraints.
problem Optimizing interbank lending in a network of interconnected banks with probabilistic constraints on failure.
method Derive a closed-form solution for an optimal control problem, compute systemic relevance parameters.
result General solution for interbank lending with probabilistic constraints for all banks.
This study compares financial density forecasts using risk-neutral and historical schemes.
problem Comparing the forecasting ability of risk-neutral and historical financial density models.
method Comprehensive comparison of 15 predictive schemes over 21 years, evaluating statistical consistency, local accuracy, and forecasting errors.
result Risk-neutral densities outperform historical-based predictions in terms of information content.
Neural model learns company embeddings from data and news.
problem Subjective industry classification schemes in finance.
method Multimodal neural model training company embeddings.
result Objective company representations capture nuanced relationships.
New method preserves positivity in financial model simulations.
problem Preserving positivity in financial model simulations.
method Combining semi discrete technique with split step method.
result Explicit and positivity preserving numerical scheme for Ait-Sahalia model.
The paper calculates bonus values in complex insurance schemes.
problem Calculating bonus payments in multi-state with-profit life insurance.
method Combines financial risk simulation with insurance risk methods.
result Efficient numerical procedures for bonus calculation.
Banks in the interbank network can not assess the true risks associated with lending to other banks in the network, unless they have full information on the riskiness of all the other banks. These risks can be estimated by using network metrics (for example DebtRank) of the interbank liability network which is availabl…
Adaptive weighting schemes enhance time-series data augmentation for financial and UCR datasets.
problem Limited size of time-series datasets hinders model performance.
method Two adaptive weighting schemes for automatic data augmentation.
result Improves annualized returns by over 50% on financial dataset and outperforms state-of-the-art on half of UCR datasets.
Derives valuations for financial portfolios from securities lending perspective.
problem Valuation of financial portfolios from securities lending perspective.
method Derives valuations under different assumptions and shows a weighting scheme.
result Weighting scheme converges faster to true valuation under certain conditions.
Novel weak MLMC scheme for Lévy-driven SDEs, applied to financial derivatives pricing.
problem Approximating solutions to Lévy-driven SDEs for financial derivatives pricing.
method Weak multilevel Monte-Carlo scheme with state space discretization of Lévy processes.
result Efficient approximation of financial derivatives pricing models.
Detects financial fraud schemes in networks using graph structure learning.
problem Identifying financial fraud schemes in complex networks.
method Adapting dictionary learning to network topologies, imposing Laplacian structure on dictionaries.
result Proposed methods effectively represent graph structure information for anomaly detection.
Novel numerical scheme for G-heat equation with uncertainty.
problem Efficiently quantify G-expectation for financial products.
method Proposes a novel numerical scheme for the two-dimensional G-heat equation.
result The scheme is monotonic, stable, and convergent, showing high efficiency.
Survey on nonlinear parabolic equations in finance.
problem Nonlinear extensions of the Black-Scholes theory.
method Qualitative and numerical analysis of nonlinear parabolic equations.
result Existence and uniqueness of solutions to nonlinear parabolic equations.
This paper uses Malliavin calculus to price and compute delta of financial derivatives in jump-diffusion models.
problem Pricing and delta computation of financial derivatives in jump-diffusion models with stochastic intensity.
method Utilizes Malliavin calculus to price and compute delta, applying the Euler scheme for convergence analysis.
result Established the convergence of approximated solution, financial derivative, and its delta Greeks.
Financial derivatives based on road travel times for hedging and pricing.
problem Market risk in crypto and banking sectors.
method Modeling travel time data with CARMA models and applying risk-neutral pricing.
result Derivatives pricing based on travel time and its volatility.
High order discretization schemes of SDEs by using free Lie algebra valued random variables are introduced by Kusuoka, Lyons-Victoir, Ninomiya-Victoir and Ninomiya-Ninomiya. These schemes are called KLNV methods. They involve solving the flows of vector fields associated with SDEs and it is usually done by numerical me…
Tackling climate change is at the top of many agendas. In this context, emission trading schemes are considered as promising tools. The regulatory framework for an emission trading scheme introduces a market for emission allowances and creates a need for risk management by appropriate financial contracts. In this work,…
Paper offers a new method for pricing financial derivatives under rough stochastic volatility models.
problem Challenges in pricing financial derivatives, especially vanilla options, for rough stochastic volatility models.
method Developed a decomposition formula and prediction law for European option pricing under general Gaussian Volterra processes.
result Explicit semi-closed approximation formula for rough fractional volatility models, significantly improving computational efficiency.
Scheme for online state discovery in financial markets using feature correlations and clustering.
problem Discovering temporal states in high-frequency financial data without human intervention.
method Unbiased Fourier estimator for feature correlations, high-speed clustering algorithm, state space enumeration.
result Feature cluster configuration is a candidate for system state representation.
The paper models financial asset prices with jumps and evaluates European option prices using numerical methods.
problem Modeling and pricing European options with jumps in delayed stochastic systems.
method Existence, uniqueness, and positivity of solutions to delayed stochastic differential equations with jumps. Application of Fourier transformation for analytical pricing and Monte-Carlo simulation with a logarithmic Euler-Maruyama scheme for numerical approximation.
result The logarithmic Euler-Maruyama scheme provides a positive and convergent method for approximating the solution to the delayed stochastic differential equations with jumps.
Paper uses neural nets for financial optimization problems.
problem Financial optimization and derivative pricing problems.
method Neural networks and deep reinforcement learning for solving PDEs and dynamic optimization.
result Efficient resolution of nonlinear PDEs and dynamic optimization in finance.
Optimal entry into unemployment insurance schemes is analyzed.
problem Optimizing entry into unemployment insurance schemes.
method Solves an optimal stopping problem with a utility function.
result Optimal decisions for entry into unemployment insurance schemes.
New numerical method for quantile hedging in imperfect markets.
problem Quantile hedging in non-linear markets with imperfections.
method Piecewise Constant Policy Timestepping (PCPT) coupled with monotone finite difference approximation.
result Convergence of the proposed numerical scheme proved using BSDE arguments.
We develop high-order approximations for the Heston model.
problem Modeling the Heston model with high accuracy and efficiency.
method Combining approximation schemes on different random grids to achieve any order of convergence.
result Achieve any order of convergence for the Heston model.
The abstract discusses how diversification and securitization lead to information losses in financial risk optimization.
problem Information loss in financial risk optimization practices.
method Information theoretic concepts to quantify information losses in financial transformations and portfolios.
result Diversification and securitization increase information sensitivity, leading to maximal information losses when assets are uncorrelated.
Model financial market with fundraiser and stock, derive option prices.
problem Derive option prices in a market with a fundraiser and multiple solutions to the Black-Scholes equation.
method Model financial market with two types of agents, use Pitman's theorem for Bessel process, derive option prices using numerical scheme.
result Derive option prices for European options and call options in a market with a bubble.
In order to study the geometry of interest rates market dynamics, Malliavin, Mancino and Recchioni [A non-parametric calibration of the HJM geometry: an application of Itô calculus to financial statistics, {\it Japanese Journal of Mathematics}, 2, pp.55--77, 2007] introduced a scheme, which is based on the Fourier Seri…
Paper models corruption in contract negotiations between agents and producers.
problem Formalizing corruption in contract negotiations between agents and producers.
method Mathematical model and economic analysis for three producers, one agent, and one intermediary.
result Optimal non-corruption schemes of financial resources distribution are proposed.
Investment diversification affects financial stability, depending on network connectivity.
problem Analyzing stability of financial networks with diversified portfolios.
method Random matrix dynamical model with portfolio rebalancing, considering heterogeneity and diversification effects.
result Stability/instability transition depends on the largest eigenvalue of the random matrix.
We consider the approximation of stochastic differential equations (SDEs) with non-Lipschitz drift or diffusion coefficients. We present a modified explicit Euler-Maruyama discretisation scheme that allows us to prove strong convergence, with a rate. Under some regularity and integrability conditions, we obtain the opt…
This paper explores deep learning for financial trading, integrating sentiment analysis.
problem Maximizing profit and minimizing loss in financial trading.
method Supervised and reinforcement learning schemes, integrating sentiment analysis.
result Demonstrates the effectiveness of deep learning methods in financial trading.
Proposes a mixed pension system combining PAYG and funded contributions to address sustainability.
problem Sustainability of public pension systems due to declining birth rates and increasing life expectancy.
method Combines a classical PAYG scheme with a funded investment scheme to ensure financial sustainability.
result Individuals contribute to a funded part, making them active participants in addressing demographic risks.
Model financial markets with social media influences using hierarchical networks.
problem Understanding social media's impact on financial markets.
method Agent-based model with hierarchical influence network.
result Model accurately simulates real-world financial market behaviors.
Develops numerical methods for hedging strategies in a specific financial model.
problem Hedging strategies for a specific type of financial model.
method Uses numerical schemes for locally risk minimizing and mean-variance hedging strategies for a normal inverse Gaussian model.
result Introduces numerical results for the hedging strategies.
Develops high-order approximations for financial models, proving convergence and regularity.
problem Challenges in approximating and regularizing the Heston model due to its square root diffusion term.
method Random grid technique, Cox-Ingersoll-Ross (CIR) process, log-Heston process, PDE analysis.
result Achieves weak approximations of any order for smooth test functions in the Heston model, extending to log-Heston process.
Ghost points affect stability in finite difference schemes for diffusion equations.
problem Impact of ghost points on stability of finite difference schemes.
method Exploration of explicit Euler finite difference scheme with ghost points on diffusion equation.
result Stability of the scheme is affected by ghost points.
Botswana's agricultural credit scheme is unsustainable and needs reform.
problem The current scheme is unsustainable and based on flawed actuarial principles.
method Proposes a new subsidy and premium rate setting method considering non-drought years.
result A sustainable agricultural credit guarantee scheme is recommended.
This paper discusses the financial risks faced by the UK Pension Protection Fund (PPF) and what, if anything, it can do about them. It draws lessons from the regulatory regimes under which other financial institutions, such as banks and insurance companies, operate and asks why pension funds are treated differently. It…
Model explains stock price bubbles through debt crises and financial crashes.
problem Analyzing financial fragility and stock price bubbles.
method Stock-flow consistent model integrating macroeconomic and financial market dynamics.
result Model demonstrates how credit expansion and crash risk lead to recurrent boom-bust cycles.
The Epps effect varies under different sampling schemes, affecting correlation emergence rates.
problem Uncertainty in choosing time and sampling rates for financial systems.
method Comparison of Epps effect under calendar, volume, and trade time schemes using a Hawkes process model.
result Correlations emerge faster under trade time compared to calendar time, and linearly under volume time.
Revises derivative pricing post financial crisis by defining a discount rate.
problem Derivative pricing became complex with XVA adjustments.
method Developed a binomial tree model for pricing with counterparty and funding risks.
result Coherent XVAs naturally result from decomposing the discount rate.
In Maslov (2003), a two level model of the occurrence of financial pyramid (bubbles) has been considered. We also considered the mathematical analogy of this model to Bose condensation. In the present paper, we explain why Ponzi schemes and bubbles result in a crisis in real economics. In Maslov (2005), the law of incr…