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Financial markets show a number of non-stationarities, ranging from volatility fluctuations over ever changing technical and regulatory market conditions to seasonalities. On the other hand, financial markets show various stylized facts…

Trading and Market Microstructure · Quantitative Finance 2018-12-19 Sebastian M. Krause , Jonas A. Fiegen , Thomas Guhr

Some data is linearly additive, other data is not. In this paper, I discuss types of data based on the boundedness of the data and their linearity. 1) Unbounded data can be linear. 2) One-side bounded data is usually log transformed to be…

Statistics Theory · Mathematics 2019-04-03 Christopher M. Rembold

The measured correlations of financial time series in subsequent epochs change considerably as a function of time. When studying the whole correlation matrices, quasi-stationary patterns, referred to as market states, are seen by applying…

Statistical Finance · Quantitative Finance 2020-11-03 Anton J. Heckens , Sebastian M. Krause , Thomas Guhr

Stock recommendation is vital to investment companies and investors. However, no single stock selection strategy will always win while analysts may not have enough time to check all S&P 500 stocks (the Standard & Poor's 500). In this paper,…

Trading and Market Microstructure · Quantitative Finance 2025-11-18 Hongyang Yang , Xiao-Yang Liu , Qingwei Wu

Microstructure of market dynamics is studied through analysis of tick price data. Linear trend is introduced as a tool for such analysis. Trend arbitrage inequality is developed and tested. The inequality sets limiting relationship between…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Nikolai Zaitsev

We investigate the random walk of prices by developing a simple model relating the properties of the signs and absolute values of individual price changes to the diffusion rate (volatility) of prices at longer time scales. We show that this…

Statistical Finance · Quantitative Finance 2009-11-13 Gabriele La Spada , J. Doyne Farmer , Fabrizio Lillo

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

The multifractal behavior for tick data of prices is investigated in Korean financial market. Using the rescaled range analysis(R/S analysis), we show the multifractal nature of returns for the won-dollar exchange rate and the KOSPI. We…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon

Using non-linear machine learning methods and a proper backtest procedure, we critically examine the claim that Google Trends can predict future price returns. We first review the many potential biases that may influence backtests with this…

Trading and Market Microstructure · Quantitative Finance 2014-03-10 Damien Challet , Ahmed Bel Hadj Ayed

Betting markets are gaining in popularity. Mean beliefs generally differ from prices in prediction markets. Logarithmic utility is employed to study the risk and return adjustments to prices. Some consequences are described. A modified…

Portfolio Management · Quantitative Finance 2024-12-19 Bernhard K Meister

The distribution of the return intervals $\tau$ between volatilities above a threshold $q$ for financial records has been approximated by a scaling behavior. To explore how accurate is the scaling and therefore understand the underlined…

Statistical Finance · Quantitative Finance 2009-06-02 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda

Detailed study of multifractal characteristics of the financial time series of asset values and of its returns is performed using a collection of the high frequency Deutsche Aktienindex data. The tail index ($\alpha$), the Renyi exponents…

Statistical Mechanics · Physics 2009-11-07 A. Z. Gorski , S. Drozdz , J. Speth

In the recent past, there were several works on the prediction of stock price using different methods. Sentiment analysis of news and tweets and relating them to the movement of stock prices have already been explored. But, when we talk…

Computation and Language · Computer Science 2024-12-11 Subhasis Dasgupta , Pratik Satpati , Ishika Choudhary , Jaydip Sen

Financial markets are interconnected, with micro-currents propagating across global markets and shaping economic trends. This paper moves beyond traditional stock market indices to examine cross-sectional return distributions-15 in our…

General Economics · Economics 2025-11-27 Ping Wu , Dan Zhu

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

Pricing of Securities · Quantitative Finance 2024-06-13 Jiho Park

We quantify the amount of information filtered by different hierarchical clustering methods on correlations between stock returns comparing it with the underlying industrial activity structure. Specifically, we apply, for the first time to…

Statistical Finance · Quantitative Finance 2023-07-19 Nicolo Musmeci , Tomaso Aste , Tiziana Di Matteo

The imbalance of buying and selling functions profoundly in the formation of market trends, however, a fine-granularity investigation of the imbalance is still missing. This paper investigates a unique transaction dataset that enables us to…

Computational Finance · Quantitative Finance 2018-02-06 Shan Lu , Jichang Zhao , Huiwen Wang

I describe a method for estimating agents' perceived returns to investments that relies on cross-sectional data containing binary choices and prices, where prices may be imperfectly known to agents. This method identifies the scale of…

Econometrics · Economics 2021-01-27 Clint Harris

Historical returns depend on historical closing prices and distributions. We describe how to compute adjusted closing prices from closing price/distribution data with an emphasis on spreadsheet implementation. Then the growth of a security…

Portfolio Management · Quantitative Finance 2011-05-17 Vic Norton