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Backtest is a way of financial risk evaluation which helps to analyze how our trading algorithm would work in markets with past time frame. The high volatility situation has always been a critical situation which creates challenges for…

Computational Finance · Quantitative Finance 2023-09-20 S. M. Masrur Ahmed

The scope of this manuscript is to review some recent developments in statistics for discretely observed semimartingales which are motivated by applications for financial markets. Our journey through this area stops to take closer looks at…

Statistical Finance · Quantitative Finance 2025-04-23 Markus Bibinger

Valuation and parity formulas for both European-style and American-style exchange options are presented in a general financial model allowing for jumps, possibility of default and "bubbles" in asset prices. The formulas are given via…

Pricing of Securities · Quantitative Finance 2014-12-02 Constantinos Kardaras

Cryptocurrency, the most controversial and simultaneously the most interesting asset, has attracted many investors and speculators in recent years. The visibly significant market capitalization of cryptos also motivates modern financial…

Risk Management · Quantitative Finance 2021-12-10 Junjie Hu , Wolfgang Karl Härdle , Weiyu Kuo

The majority of studies in the field of AI guided financial trading focus on purely applying machine learning algorithms to continuous historical price and technical analysis data. However, due to non-stationary and high volatile nature of…

Statistical Finance · Quantitative Finance 2021-02-03 Ling Qi , Matloob Khushi , Josiah Poon

The investor is interested in the expected return and he is also concerned about the risk and the uncertainty assumed by the investment. One of the most popular concepts used to measure the risk and the uncertainty is the variance and/or…

Statistical Finance · Quantitative Finance 2008-12-02 Andreia Dionisio , Rui Menezes , Diana A. Mendes

The purpose of this research article is to discover how the econophysics analysis can complement the econometrics models in application to the risk management in the central banks and financial institutions, operating within the nonlinear…

General Finance · Quantitative Finance 2012-11-20 Dimitri O. Ledenyov , Viktor O. Ledenyov

In the late 90's, after severe financial and economic crisis, accompanied by inflation and exchange rate instability, Eastern Europe emerged into two groups of countries with radically contrasting monetary regimes (Currency Boards and…

General Finance · Quantitative Finance 2013-03-26 Muhammad Khan , Mazen Kebewar , Nikolay Nenovsky

The lead-lag relationship plays a vital role in financial markets. It is the phenomenon where a certain price-series lags behind and partially replicates the movement of leading time-series. The present research proposes a new technique…

Statistical Finance · Quantitative Finance 2020-05-12 Kartikay Gupta , Niladri Chatterjee

This paper proposes a numerical method for pricing foreign exchange (FX) options in a model which deals with stochastic interest rates and stochastic volatility of the FX rate. The model considers four stochastic drivers, each represented…

Computational Finance · Quantitative Finance 2019-03-05 Fazlollah Soleymani , Andrey Itkin

The feasibility of XRP as a liquidity medium in cross-border transactions is assessed in this paper using a thorough stochastic framework. We use simulations of settlement latency, regime-switching volatility, and jump-diffusion models. The…

Physics and Society · Physics 2025-07-17 Kiarash Firouzi

In recent years there has been a closer interrelationship between several scientific areas trying to obtain a more realistic and rich explanation of the natural and social phenomena. Among these it should be emphasized the increasing…

Physics and Society · Physics 2016-09-08 Andreia Dionisio , Rui Menezes , Diana A. Mendes

We introduce a new identification strategy for uncertainty shocks to explain macroeconomic volatility in financial markets. The Chicago Board Options Exchange Volatility Index (VIX) measures market expectations of future volatility, but…

Econometrics · Economics 2024-11-06 Ayush Jha , Abootaleb Shirvani , Svetlozar T. Rachev , Frank J. Fabozzi

A time-varying cointegration model for foreign exchange rates is presented. Unlike previous studies, we allow the loading matrix in the vector error correction (VEC) model to be varying over time. Because the loading matrix in the VEC model…

Statistical Finance · Quantitative Finance 2016-10-17 Mikio Ito , Akihiko Noda , Tatsuma Wada

We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for…

Pricing of Securities · Quantitative Finance 2024-04-11 Felix L. Wolf , Griselda Deelstra , Lech A. Grzelak

In a system containing a large number of interacting stochastic processes, there will typically be many non-zero correlation coefficients. This makes it difficult to either visualize the system's inter-dependencies, or identify its dominant…

Other Condensed Matter · Physics 2011-09-06 Mark McDonald , Omer Suleman , Stacy Williams , Sam Howison , Neil F. Johnson

Parametric statistical methods play a central role in analyzing risk through its underlying frequency and severity components. Given the wide availability of numerical algorithms and high-speed computers, researchers and practitioners often…

Applications · Statistics 2025-06-17 Michael R. Powers , Jiaxin Xu

One of the major issues studied in finance that has always intrigued, both scholars and practitioners, and to which no unified theory has yet been discovered, is the reason why prices move over time. Since there are several well-known…

Statistical Finance · Quantitative Finance 2008-12-02 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

Specialized topics on financial data analysis from a numerical and physical point of view are discussed. They pertain to the analysis of crash prediction in stock market indices and to the persistence or not of coherent and random sequences…

Condensed Matter · Physics 2007-05-23 M. Ausloos , K. Ivanova

Biondi et al. (2012) develop an analytical model to examine the emergent dynamic properties of share market price formation over time, capable to capture important stylized facts. These latter properties prove to be sensitive to regulatory…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Simone Righi