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In this paper we first introduce two new financial products: stock loan and capped stock loan. Then we develop a pure variational inequality method to establish explicitly the values of these stock loans. Finally, we work out ranges of fair…

Pricing of Securities · Quantitative Finance 2010-05-11 Zongxia Liang , Weiming Wu

We reconsider the study of optimal dividend strategies in the Cram\'er-Lundberg risk model. It is well-known that the solution of the classical dividend problem is in general a band strategy. However, the numerical techniques for the…

Optimization and Control · Mathematics 2022-07-05 Hansjörg Albrecher , Brandon García Flores

We introduce a new tool for predicting the evolution of an option for the cases where at some specific time, there is a high-degree of uncertainty for identifying its price. We work over the special case where we can predict the evolution…

Pricing of Securities · Quantitative Finance 2019-05-16 Ivan Arraut , Alan Au , Alan Ching-biu Tse , Carlos Segovia

The correlation coefficient between stocks depends on price history and includes information on hierarchical structure in financial markets. It is useful for portfolio selection and estimation of risk. I introduce the Life Time of…

General Finance · Quantitative Finance 2011-06-01 Andrzej Buda

We propose a new approach for analyzing price fluctuations in their strongly correlated regime ranging from minutes to months. This is done by employing a self-similarity assumption for the magnitude of coarse-grained price fluctuation or…

Statistical Mechanics · Physics 2009-11-07 Yoshi Fujiwara , Hirokazu Fujisaka

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

Statistical Mechanics · Physics 2008-12-02 Jun-ichi Maskawa

We uncover a new anomaly in asset pricing that is linked to the remuneration: the more a company spends on salaries and benefits per employee, the better its stock performs, on average. Moreover, the companies adopting similar remuneration…

General Finance · Quantitative Finance 2016-10-17 Sebastien Valeyre , Denis Grebenkov , Sofiane Aboura , Francois Bonnin

The purpose of this study was to build a customer selection model based on 20 dimensions, including customer codes, total contribution, assets, deposit, profit, profit rate, trading volume, trading amount, turnover rate, order amount,…

General Finance · Quantitative Finance 2017-11-16 Bowen Cai

The stock market is a crucial component of the financial market, playing a vital role in wealth accumulation for investors, financing costs for listed companies, and the stable development of the national macroeconomy. Significant…

Trading and Market Microstructure · Quantitative Finance 2024-02-28 Jiajian Zheng , Duan Xin , Qishuo Cheng , Miao Tian , Le Yang

The Pythagorean formula is one of the most popular ways to measure the true ability of a team. It is very easy to use, estimating a team's winning percentage from the runs they score and allow. This data is readily available on standings…

History and Overview · Mathematics 2014-06-04 Steven J. Miller , Taylor Corcoran , Jennifer Gossels , Victor Luo , Jaclyn Porfilio

This paper introduces StockGPT, an autoregressive ``number'' model trained and tested on 70 million daily U.S.\ stock returns over nearly 100 years. Treating each return series as a sequence of tokens, StockGPT automatically learns the…

Computational Finance · Quantitative Finance 2024-10-24 Dat Mai

A new model for the stock market price analysis is proposed. It is suggested to look at price as an everywhere discontinuous function of time of bounded variation.

General Finance · Quantitative Finance 2011-02-16 Aleksey Kharevsky

Data augmentation methods in combination with deep neural networks have been used extensively in computer vision on classification tasks, achieving great success; however, their use in time series classification is still at an early stage.…

Statistical Finance · Quantitative Finance 2020-10-29 Elizabeth Fons , Paula Dawson , Xiao-jun Zeng , John Keane , Alexandros Iosifidis

On a periodic basis, publicly traded companies are required to report fundamentals: financial data such as revenue, operating income, debt, among others. These data points provide some insight into the financial health of a company.…

Machine Learning · Statistics 2018-04-27 John Alberg , Zachary C. Lipton

The Lindley distribution was first introduced by Lindley in 1958 for Bayesian computations. Over the past years, various generalizations of this distribution have been proposed by different authors. The generalized Lindley distributions…

Statistics Theory · Mathematics 2025-12-30 Afshin Yaghoubi , Esmaile Khorram , Omid Naghshineh Arjmand

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

Disordered Systems and Neural Networks · Physics 2008-12-02 T. R. Hurd

Given a gamma population with known shape parameter $\alpha$, we develop a general theory for estimating a function $g(\cdot)$ of the scale parameter $\beta$ with bounded variance. We begin by defining a sequential sampling procedure with…

Methodology · Statistics 2024-07-09 Jun Hu , Ibtihal Alanazi , Zhe Wang

We consider a generic market model with a single stock and with random volatility. We assume that there is a number of tradable options for that stock with different strike prices. The paper states the problem of finding a pricing rule that…

Probability · Mathematics 2008-12-02 Nikolai Dokuchaev

We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski's path integral model, more precisely we choose a different action, which can be tuned to different time…

Computational Finance · Quantitative Finance 2018-12-26 Giovanni Paolinelli , Gianni Arioli

Prediction of stock prices plays a significant role in aiding the decision-making of investors. Considering its importance, a growing literature has emerged trying to forecast stock prices with improved accuracy. In this study, we introduce…

Statistical Finance · Quantitative Finance 2023-11-14 Md Sabbirul Haque , Md Shahedul Amin , Jonayet Miah , Duc Minh Cao , Ashiqul Haque Ahmed
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