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We study the tick dynamical behavior of the bond futures in Korean Futures Exchange(KOFEX) market. Since the survival probability in the continuous-time random walk theory is applied to the bond futures transaction, the form of the decay…

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

We adapt continuous time random walk (CTRW) formalism to describe asset price evolution and discuss some of the problems that can be treated using this approach. We basically focus on two aspects: (i) the derivation of the price…

Physics and Society · Physics 2008-12-10 J. Masoliver , M. Montero , J. Perello , G. H. Weiss

We apply the Continuous Time Random Walk (CTRW) framework, introduced in finance by Scalas et al., to the analysis of the probability distribution of time intervals between two consecutive trades in the case of BTP futures prices traded at…

Disordered Systems and Neural Networks · Physics 2008-12-02 Marco Raberto , Enrico Scalas , Rudolf Gorenflo , Francesco Mainardi

Continuous time random walks (CTRWs) are used in physics to model anomalous diffusion, by incorporating a random waiting time between particle jumps. In finance, the particle jumps are log-returns and the waiting times measure delay between…

Data Analysis, Statistics and Probability · Physics 2008-12-10 Mark M. Meerschaert , Enrico Scalas

The herd behavior of returns is investigated in Korean futures exchange market. It is obtained that the probability distribution of returns for three types of herding parameter scales as a power law $R^{-\beta}$ with the exponents $…

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

We complement the theory of tick-by-tick dynamics of financial markets based on a Continuous-Time Random Walk (CTRW) model recently proposed by Scalas et al., and we point out its consistency with the behaviour observed in the waiting-time…

Statistical Mechanics · Physics 2009-10-31 Francesco Mainardi , Marco Raberto , Rudolf Gorenflo , Enrico Scalas

Lead-lag relationships, integral to market dynamics, offer valuable insights into the trading behavior of high-frequency traders (HFTs) and the flow of information at a granular level. This paper investigates the lead-lag relationships…

Computational Finance · Quantitative Finance 2025-01-07 Guanlin Li , Xiyan Chen , Yingzheng Liu

We study the continuous time random walk theory from financial tick data of the yen-dollar exchange rate transacted at the Japanese financial market. The dynamical behavior of returns and volatilities in this case is particularly treated at…

Other Condensed Matter · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon , C. Christopher Lee , Myung-Kul Yum

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

We analyze the price return distributions of currency exchange rates, cryptocurrencies, and contracts for differences (CFDs) representing stock indices, stock shares, and commodities. Based on recent data from the years 2017--2020, we model…

Statistical Finance · Quantitative Finance 2021-07-15 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

Continuous-time random walks are a well suited tool for the description of market behaviour at the smallest scale: the tick-to-tick evolution. We will apply this kind of market model to the valuation of perpetual American options:…

Pricing of Securities · Quantitative Finance 2008-12-02 Miquel Montero

In many physical, social or economical phenomena we observe changes of a studied quantity only in discrete, irregularly distributed points in time. The stochastic process used by physicists to describe this kind of variables is the…

Statistical Finance · Quantitative Finance 2020-04-14 Jarosław Klamut , Tomasz Gubiec

In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the…

Statistical Mechanics · Physics 2008-12-02 Enrico Scalas , Rudolf Gorenflo , Francesco Mainardi , Maurizio Mantelli , Marco Raberto

In high-frequency financial data not only returns, but also waiting times between consecutive trades are random variables. Therefore, it is possible to apply continuous-time random walks (CTRWs) as phenomenological models of the…

Physics and Society · Physics 2008-12-10 Enrico Scalas , Rudolf Gorenflo , Hugh Luckock , Francesco Mainardi , Maurizio Mantelli , Marco Raberto

We present an empirical study of the subordination hypothesis for a stochastic time series of a stock price. The fluctuating rate of trading is identified with the stochastic variance of the stock price, as in the continuous-time random…

Physics and Society · Physics 2008-12-02 A. Christian Silva , Victor M. Yakovenko

Anomalous diffusions arise as scaling limits of continuous-time random walks (CTRWs) whose innovation times are distributed according to a power law. The impact of a non-exponential waiting time does not vanish with time and leads to…

Pricing of Securities · Quantitative Finance 2020-04-13 Antoine Jacquier , Lorenzo Torricelli

Leveraging a unique dataset of carbon futures option prices traded on the ICE market from December 2015 until December 2020, we present the results from an unprecedented calibration exercise. Within a multifactor stochastic volatility…

Pricing of Securities · Quantitative Finance 2025-05-19 Simone Serafini , Giacomo Bormetti

We study financial distributions within the framework of the continuous time random walk (CTRW). We review earlier approaches and present new results related to overnight effects as well as the generalization of the formalism which embodies…

Statistical Mechanics · Physics 2008-12-02 Jaume Masoliver , Miquel Montero , Josep Perello , George H. Weiss

This paper investigates the effects of a price limit change on the volatility of the Korean stock market's (KRX) intraday stock price process. Based on the most recent transaction data from the KRX, which experienced a change in the price…

Trading and Market Microstructure · Quantitative Finance 2018-05-15 Wonse Kim , Sungjae Jun

This paper quantifies the effects of equity tail risk on the US government bond market. We estimate equity tail risk with option-implied stock market volatility that stems from large negative price jumps, and we assess its value in…

Pricing of Securities · Quantitative Finance 2020-07-14 Mirco Rubin , Dario Ruzzi
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