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Probability of large movements in financial markets

TLDR
Based on empirical financial time series, it is shown that the “silence-breaking” probability follows a super-universal power law: the probability of observing a large movement is inversely proportional to the length of the on-going low-variability period.
Abstract
Based on empirical financial time series, we show that the “silence-breaking” probability follows a super-universal power law: the probability of observing a large movement is inversely proportional to the length of the on-going low-variability period . Such a scaling law has been previously predicted theoretically [R. Kitt, J. Kalda, Physica A 353 (2005) 480], assuming that the length-distribution of the low-variability periods follows a multi-scaling power law.

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Journal ArticleDOI

Cours d'economie politique

Jean Marchal
- 01 Apr 1950 - 

Memory in the Occurrence of Earthquakes

TL;DR: It is found that the distribution of the recurrence times strongly depends on the previous recurrence time tau0, such that small and largeRecurrence times tend to cluster in time, and the risk of encountering the next event within a certain time span after the last event depends significantly on the past.
Journal ArticleDOI

An adaptive stochastic model for financial markets

TL;DR: In this paper, an adaptive stochastic model is introduced to simulate the behavior of real asset markets, which adapts itself by changing its parameters automatically on the basis of the recent historical data.
Book ChapterDOI

Improving Long-Term Financial Risk Forecasts using High-Frequency Data and Scaling Laws

TL;DR: In this paper, the authors use the abundance of high frequency data to estimate scaling law models and then apply appropriately scaled measures to provide long-term market risk forecasts, making use of the scale invariance property of the scaling law.
References
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Journal ArticleDOI

Low q-moment multifractal analysis of Gold price, Dow Jones Industrial Average and BGL-USD exchange rate

TL;DR: In this article, an estimate of the low q-moment values of the assumed multifractal spectrum of Gold price, Dow Jones Industrial Average (DJIA) and Bulgarian Lev - USA Dollar (BGL-USD) exchange rate over a 6 1/2 year time span has been made.
Journal ArticleDOI

Indication of multiscaling in the volatility return intervals of stock markets

TL;DR: This work investigates intraday data sets of 500 stocks and finds that the cumulative distribution of return intervals has systematic deviations from scaling, and investigates the moments in the range 10
Journal ArticleDOI

Relation between volatility correlations in financial markets and Omori processes occurring on all scales

TL;DR: The results support the hypothesis that the memory in the volatility is related to the Omori processes present on different time scales, which are found when studying long-term correlated fractional Brownian motion and autoregressive fractionally integrated moving average artificial models for volatilities.
Journal ArticleDOI

Size effects on the quenching to the normal state in YBa2Cu3O7-delta thin film superconductors

TL;DR: In this article, currentvoltage curves have been measured in YBa2Cu3O7-delta thin film microbridges with widths lower than the thermal diffusion length.
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