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We apply the formalism of the continuous time random walk (CTRW) theory to financial tick data of the bond futures transacted in Korean Futures Exchange (KOFEX) market. For our case, the tick dynamical behaviors of the returns and…

Statistical Mechanics · Physics 2008-12-10 Kyungsik Kim , Seong-Min Yoon , Jum Soo Choi

Mandatory emission trading schemes are being established around the world. Participants of such market schemes are always exposed to risks. This leads to the creation of an accompanying market for emission-linked derivatives. To evaluate…

Pricing of Securities · Quantitative Finance 2010-01-25 K. Borovkov , G. Decrouez , J. Hinz

In this work we afford the statistical characterization of a linear Stochastic Volatility Model featuring Inverse Gamma stationary distribution for the instantaneous volatility. We detail the derivation of the moments of the return…

Statistical Finance · Quantitative Finance 2015-05-20 Danilo Delpini , Giacomo Bormetti

Through a long-period analysis of the inter-temporal relations between the French markets for credit default swaps (CDS), shares and bonds between 2001 and 2008, this article shows how a financial innovation like CDS could heighten…

General Finance · Quantitative Finance 2009-11-23 Nathalie Rey

Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition…

Statistical Mechanics · Physics 2008-12-10 H. Takayasu , M. Takayasu , M. P. Okazaki , K. Marumo , T. Shimizu

Single index financial market models cannot account for the empirically observed complex interactions between shares in a market. We describe a multi-share financial market model and compare characteristics of the volatility, that is the…

Condensed Matter · Physics 2009-10-31 Adam Ponzi

A 24-hour exchange market was created on the Web to trade political futures contracts using fictitious money. In this online market, a political futures contract is a futures contract which matures on the election day with a liquidation…

Physics and Society · Physics 2007-05-23 Sun-Chong Wang , Sai-Ping Li , Chung-Ching Tai , Shu-Heng Chen

The probability distribution of log-returns for financial time series, sampled at high frequency, is the basis for any further developments in quantitative finance. In this letter, we present experimental results based on a large set of…

Statistical Finance · Quantitative Finance 2011-10-11 Laurent Schoeffel

In relation to the traditional financial markets, the cryptocurrency market is a recent invention and the trading dynamics of all its components are readily recorded and stored. This fact opens up a unique opportunity to follow the…

Statistical Finance · Quantitative Finance 2023-05-11 Stanisław Drożdż , Jarosław Kwapień , Marcin Wątorek

We present a new model for credit index derivatives, in the top-down approach. This model has a dynamic loss intensity process with volatility and jumps and can include counterparty risk. It handles CDS, CDO tranches, Nth-to-default and…

Pricing of Securities · Quantitative Finance 2009-11-10 Louis Paulot

Studying Binomial and Gaussian return dynamics in discrete time, we show how excess volatility can be traded to create growth. We test our results on real world data to confirm the observed model phenomena while also highlighting implicit…

Trading and Market Microstructure · Quantitative Finance 2015-11-10 Jan Hendrik Witte

We analyse tick-by-tick data representing major cryptocurrencies traded on some different cryptocurrency trading platforms. We focus on such quantities like the inter-transaction times, the number of transactions in time unit, the traded…

Statistical Finance · Quantitative Finance 2022-09-05 Jarosław Kwapień , Marcin Wątorek , Marija Bezbradica , Martin Crane , Tai Tan Mai , Stanisław Drożdż

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

Several works have observed heavy-tailed behavior in the distributions of returns in different markets, which are observable indicators of underlying complex dynamics. Such prior works study return distributions that are marginalized across…

Statistical Mechanics · Physics 2024-01-11 Hideyuki Miyahara , Hai Qian , Pavan Holur , Vwani Roychowdhury

We test whether the futures prices of some commodity and energy markets are determined by stochastic rules or exhibit nonlinear deterministic endogenous fluctuations. As for the methodologies, we use the maximal Lyapunov exponents (MLE) and…

Statistical Finance · Quantitative Finance 2017-03-30 Loretta Mastroeni , Pierluigi Vellucci

The behavior of stock market returns over a period of 1-60 days has been investigated for S&P 500 and Nasdaq within the framework of nonextensive Tsallis statistics. Even for such long terms, the distributions of the returns are…

Statistical Finance · Quantitative Finance 2017-09-18 Sandhya Devi

We study decades-long historic distributions of accumulated S\&P500 returns, from daily returns to those over several weeks. The time series of the returns emphasize major upheavals in the markets -- Black Monday, Tech Bubble, Financial…

Statistical Finance · Quantitative Finance 2025-12-30 Hamed Farahani , R. A. Serota

It is well known that the distribution of returns from various financial instruments are leptokurtic, meaning that the distributions have "fatter tails" than a Normal distribution, and have skew toward zero. This paper presents a graceful…

Trading and Market Microstructure · Quantitative Finance 2013-04-03 Ben Klemens

We propose a non-parametric extension with leverage functions to the Andersen commodity curve model. We calibrate this model to market data for WTI and NG including option skew at the standard maturities. While the model can be calibrated…

Mathematical Finance · Quantitative Finance 2022-12-16 Orcan Ogetbil , Bernhard Hientzsch

This paper investigates how realized and option implied volatilities are related to the future quantiles of commodity returns. Whereas realized volatility measures ex-post uncertainty, volatility implied by option prices reveals the…

Risk Management · Quantitative Finance 2018-08-01 František Čech , Jozef Baruník
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