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We review a resent {\em time-dependent} performance measure for economical time series -- the (optimal) investment horizon approach. For stock indices, the approach shows a pronounced gain-loss asymmetry that is {\em not} observed for the…

Physics and Society · Physics 2008-12-02 Ingve Simonsen , Anders Johansen , Mogens H. Jensen

Previous research has shown that for stock indices, the most likely time until a return of a particular size has been observed is longer for gains than for losses. We establish that this so-called gain/loss asymmetry is present also for…

Statistical Finance · Quantitative Finance 2009-11-25 Johannes Vitalis Siven , Jeffrey Todd Lins

Inverse statistics in economics is considered. We argue that the natural candidate for such statistics is the investment horizons distribution. This distribution of waiting times needed to achieve a predefined level of return is obtained…

Soft Condensed Matter · Physics 2008-12-02 Mogens H. Jensen , Anders Johansen , Ingve Simonsen

The inverse statistics is the distribution of waiting times needed to achieve a predefined level of return obtained from (detrended) historic asset prices \cite{optihori,gainloss}. Such a distribution typically goes through a maximum at a…

Physics and Society · Physics 2009-11-11 A. Johansen , I. Simonsen , M. H. Jensen

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

Statistical Finance · Quantitative Finance 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

In recent publications, the authors have considered inverse statistics of the Dow Jones Industrial Averaged (DJIA) [1-3]. Specifically, we argued that the natural candidate for such statistics is the investment horizons distribution. This…

Physics and Society · Physics 2008-12-02 A. Johansen , I. Simonsen , M. H. Jensen

The statistics of return distributions on various time scales constitutes one of the most informative characteristics of the financial dynamics. Here we present a systematic study of such characteristics for the Polish stock market index…

Data Analysis, Statistics and Probability · Physics 2008-12-18 R. Rak , S. Drozdz , J. Kwapien

We demonstrate that the gain/loss asymmetry observed for stock indices vanishes if the temporal dependence structure is destroyed by scrambling the time series. We also show that an artificial index constructed by a simple average of a…

Statistical Finance · Quantitative Finance 2009-11-24 Johannes Vitalis Siven , Jeffrey Todd Lins

We perform a quantitative analysis of the gain/loss asymmetry for financial time series by using a Bayesian approach. In particular, we focus on some selected indices and analyze the statistical significance of the asymmetry amount through…

Statistical Finance · Quantitative Finance 2021-04-14 Andrea Giuseppe Di Iura , Giulia Terenzi

Researchers have studied the first passage time of financial time series and observed that the smallest time interval needed for a stock index to move a given distance is typically shorter for negative than for positive price movements. The…

Statistical Finance · Quantitative Finance 2009-03-23 Johannes Vitalis Siven , Jeffrey Todd Lins , Jonas Lundbek Hansen

Large and stable indices of the world wide stock markets such as NYSE and SP 500 together with NASDAQ -- the index representing markets of new trends, and WIG -- the index of the local stock market of Eastern Europe, are considered. Due to…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec

A time series that represents daily values of the WIG index (the main index of Warsaw Stock Exchange) over last 5 years is examined. Non-Gaussian features of distributions of fluctuations, namely returns, over a time scale are considered.…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec , Piotr Gnacinski

The Gini index signals only the dispersion of the distribution and is not very sensitive to income differences at the tails of the distribution. The widely used index of inequality can be adjusted to also measure distributional asymmetry by…

Econometrics · Economics 2022-09-15 Mario Schlemmer

Using the correlation matrix formalism we study the temporal aspects of the Warsaw Stock Market evolution as represented by the WIG20 index. The high frequency (1 min) WIG20 recordings over the time period between January 2001 and October…

Data Analysis, Statistics and Probability · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

We pose the estimation and predictability of stock market performance. Three cases are taken: US, Japan, Germany, the monthly index of the value of realized investment in stocks, prices plus the value of dividend payments (OECD data). Once…

General Economics · Economics 2023-05-11 Ignacio Escanuela Romana , Clara Escanuela Nieves

The gain-loss ratio is known to enjoy very good properties from a normative point of view. As a confirmation, we show that the best market gain-loss ratio in the presence of a random endowment is an acceptability index and we provide its…

Portfolio Management · Quantitative Finance 2015-03-13 Sara Biagini , Mustafa Pinar

We study the inter-stock correlations for the largest companies listed on Warsaw Stock Exchange and included in the WIG20 index. Our results from the correlation matrix analysis indicate that the Polish stock market can be well described by…

Statistical Finance · Quantitative Finance 2008-12-02 R. Rak , J. Kwapien , S. Drozdz , P. Oswiecimka

In stochastic finance, one traditionally considers the return as a competitive measure of an asset, {\it i.e.}, the profit generated by that asset after some fixed time span $\Delta t$, say one week or one year. This measures how well (or…

Statistical Mechanics · Physics 2008-12-02 Ingve Simonsen , Mogens H. Jensen , Anders Johansen

Spin models of markets inspired by physics models of magnetism, as the Ising model, allow for the study of the collective dynamics of interacting agents in a market. The number of possible states has been mostly limited to two (buy or sell)…

Physics and Society · Physics 2021-12-14 Stefan Bornholdt

We compare some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory…

Disordered Systems and Neural Networks · Physics 2008-12-02 C. Coronnello , M. Tumminello , F. Lillo , S. Miccichè , R. N. Mantegna
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