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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.

169,051 papers · 148 categories

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48 results for compound interest

Analyzes compound interest with constant payments and interest rate.

problem Examines the properties of compound interest balance and payment functions.
method Analyzes the outstanding balance and payment functions for constant payments and interest rate.
result The outstanding balance function is not generally concave in the interest rate.

Study shows convergence rates for BSDEs approximated by compound Poisson processes.

problem Analyzing convergence rates of BSDEs driven by Lévy processes.
method Approximating Lévy processes by compound Poisson processes and studying BSDEs.
result Optimal convergence rates derived for BSDEs in L2\mathbb L^2-norm and Wasserstein distance.

Growth of monetary assets and debts is commonly described by the formula of compound interest which for the case of continuous compounding is the exponential growth law. Its differential form is dc/dt = i c where dc/dt describes the rate of monetary growth, i the compounded interest rate and c the actual principal. Exp…

2012-04-30abs ↗pdf ↗

In this paper we shall prove that the plane of financial events, introduced and applied to financial problems by the author himself (see [2], [3] and [4]) can be considered as a fibration in two different ways. The first one, the natural one, reveals itself to be isomorphic to the tangent- bundle of the real line, when…

2011-06-09abs ↗pdf ↗

Financial investment returns lead to growing wealth inequality.

problem Recent rise in wealth inequality in active financial markets.
method Minimalist modelling strategy combining financial markets, wealth accumulation, and compound interest.
result Accumulated financial investment returns cause ever-increasing wealth concentration and inequality.

Study on risk model with claims, dividends, and random probabilities.

problem Analyzing a risk model with claims, delayed claims, and randomized dividends.
method Discrete time Compound Beta-Binomial Risk Model with recursive expressions for Gerber-Shiu function.
result Recursive relations for ruin-related quantities obtained.

Generative model learns to create molecules with multiple properties using interpretable substructures.

problem Creating molecules with multiple chemical properties is challenging.
method Compose molecules from substructures identified as responsible for each property, using graph generative models.
result Significant improvements in accuracy, diversity, and novelty of generated compounds over state-of-the-art baselines.

New model uses pretrained biochemical language models to generate drug compounds.

problem Developing novel compounds targeting specific proteins.
method Exploits pretrained language models to initialize and fine-tune targeted molecule generation models.
result Warm-started models outperform baseline models, with one-stage strategy showing better generalization.

Study estimates Medallion's compounded return before fees at 31.8%.

problem Incorrectly using yearly returns for compounding leads to overestimation of fund performance.
method Used fund sizes and trading profits to estimate compounded return; used manager's wealth as proxy for Simons.
result Annualized compounded return of Medallion before fees is likely under 35%

Characterizes measures preserving compound mixed renewal process properties.

problem Preserving compound mixed renewal process properties under different probability measures.
method Characterization of progressively equivalent probability measures.
result Any compound mixed renewal process can be converted into a compound mixed Poisson process through a change of measures.

This chapter is an attempt to present a mathematical theory of compound fractional Poisson processes. The chapter begins with the characterization of a well-known Lévy process: The compound Poisson process. The semi-Markov extension of the compound Poisson process naturally leads to the compound fractional Poisson proc…

2011-03-03abs ↗pdf ↗

This paper studies the payoff amounts in simple interest loans without arbitrage.

problem Understanding the payoff amounts in simple interest loans without arbitrage.
method Developed a formula for the payoff amount for simple interest loans, studied within a model of a loan market.
result The sequence of payoff amounts is increasing before a certain critical time and then decreasing.

Study shows how margin loan interest rates converge to a choke price, limiting long-term advantage in the broker call money market.

problem Long-term dynamics of margin loan interest rates and their impact on retail clients' advantage in the broker call money market.
method Analyzes the broker call money market dynamics, assuming perfect inelastic supply and continuous reinvestment, to show convergence of relative size and margin loan interest rates.
result Margin loan interest rates converge to a choke price, limiting the long-term advantage of retail clients over the market.

High throughput screening of compounds (chemicals) is an essential part of drug discovery [7], involving thousands to millions of compounds, with the purpose of identifying candidate hits. Most statistical tools, including the industry standard B-score method, work on individual compound plates and do not exploit cross…

2017-09-28abs ↗pdf ↗

In this paper, we introduce a new model for the risk process based on general compound Hawkes process (GCHP) for the arrival of claims. We call it risk model based on general compound Hawkes process (RMGCHP). The Law of Large Numbers (LLN) and the Functional Central Limit Theorem (FCLT) are proved. We also study the ma…

2017-06-27abs ↗pdf ↗

Semi-supervised learning improves QSAR model predictions for novel compounds.

problem Improving model predictions for compounds not in the training set and adjusting for selection bias.
method Semi-supervised learning framework to estimate model quality and adjust for selection bias.
result Predictions for novel compounds are improved by accounting for compound similarity and selection bias.

Normalized compound random measures are flexible nonparametric priors for related distributions. We consider building general nonparametric regression models using normalized compound random measure mixture models. Posterior inference is made using a novel pseudo-marginal Metropolis-Hastings sampler for normalized comp…

2016-08-02abs ↗pdf ↗

Paper proposes a framework to predict therapeutic properties of compounds.

problem Predict therapeutic properties of compounds with heterogeneous data.
method Domain-adversarial multi-task framework using adversarial learning.
result Framework improves performance over competitive baselines.

This paper examines interest rates and market efficiency in DeFi loanable funds protocols.

problem Equilibrium of supply and demand for loanable funds in DeFi protocols.
method Review of interest rate mechanisms in Compound, Aave, and dYdX; empirical analysis of market efficiency and inter-connectedness.
result Interest rate rules in DeFi protocols do not always equilibrate supply and demand.

New Riemannian geometry for Compound Gaussian distributions applied to efficient change detection.

problem Change detection in multivariate image times series.
method Developed a recursive approach based on Riemannian optimization.
result Optimal performance achieved with computational efficiency.

ChemGrapher uses deep learning to automatically convert chemical compound images into accurate graphs.

problem Automatically converting chemical compound images into accurate graphs with correct bond multiplicity and stereochemical information.
method Developed a deep neural network model for optical compound recognition, including segmentation and classification models.
result Significant error reductions in bond multiplicity and stereochemical information compared to existing tools.

Novel model predicts anticancer compound sensitivity with high accuracy and interpretability.

problem Predicting anticancer compound sensitivity with high accuracy and interpretability.
method Multimodal attention-based convolutional encoder using SMILES, gene expression profiles, and protein-protein interaction networks.
result The model significantly outperforms baseline models and demonstrates high interpretability.

The study improves compound selection in in silico screening by focusing on model's ability to predict desirable outcomes.

problem Improving compound selection in in silico screening to reduce errors and enhance generalization.
method Extending learning theory, the study analyzes the impact of selection policies on generalization and proposes a method to mitigate challenges.
result Generalization can be enhanced by considering a model's ability to predict the fraction of desired outcomes in a batch.

The paper develops generalization bounds for deep compound Gaussian neural networks.

problem Developing theoretical guarantees for the performance of deep neural networks.
method Novel generalization error bounds using a compound Gaussian prior and Dudley's integral.
result Theoretical bounds show generalization error scales O(nln(n))\mathcal{O}(n\sqrt{\ln(n)}) in signal dimension and O((NetworkSize)3/2)\mathcal{O}((Network Size)^{3/2}) in network size.

Study predicts shear stress in compound channels using data mining and machine learning.

problem Predicting shear stress distribution in symmetric compound channels.
method Conducted experiments to measure shear stress. Used data mining and machine learning models (RF, M5P, RC, KStar, AR) to predict.
result Random Forest (RF) model showed highest accuracy with R2=0.9.

We propose an analytical approach to the computation of tail probabilities of compound distributions whose individual components have heavy tails. Our approach is based on the contour integration method, and gives rise to a representation of the tail probability of a compound distribution in the form of a rapidly conve…

2017-10-03abs ↗pdf ↗

Bayesian learning improves reliability of molecular predictions for hit compound discovery.

problem Improving reliability of machine learning predictions for virtual screening.
method Bayesian learning algorithms applied to graph neural networks.
result Bayesian learning leads to well-calibrated predictions and higher hit compound success.

A multi-step model reduces compounding errors in reinforcement learning.

problem Compounding errors in one-step models lead to inaccurate predictions in reinforcement learning.
method Introduced a multi-step model that directly outputs the outcome of a sequence of actions.
result The multi-step model yields better action selection and more accurate value-function estimation.

The study addresses overlooked data-generating processes in time-series asset pricing.

problem The literature on time-series asset pricing overlooks the data-generating processes for factors expressed in return differences.
method The study proposes a new definition of returns and compound returns for factors, and uses OLS with net returns for single-index models.
result OLS with net returns for single-index models leads to inflated alphas, exaggerated t-values, and overestimated Sharpe ratios.