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Financial Models with Levy Processes and Volatility Clustering

2011-02-08 Business & Economics
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Release : 2011-02-08
Genre : Business & Economics
Kind : eBook
Book Rating : 262/5 ( reviews)

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Book Synopsis Financial Models with Levy Processes and Volatility Clustering by : Svetlozar T. Rachev

Download or read book Financial Models with Levy Processes and Volatility Clustering written by Svetlozar T. Rachev. This book was released on 2011-02-08. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth guide to understanding probability distributions and financial modeling for the purposes of investment management In Financial Models with Lévy Processes and Volatility Clustering, the expert author team provides a framework to model the behavior of stock returns in both a univariate and a multivariate setting, providing you with practical applications to option pricing and portfolio management. They also explain the reasons for working with non-normal distribution in financial modeling and the best methodologies for employing it. The book's framework includes the basics of probability distributions and explains the alpha-stable distribution and the tempered stable distribution. The authors also explore discrete time option pricing models, beginning with the classical normal model with volatility clustering to more recent models that consider both volatility clustering and heavy tails. Reviews the basics of probability distributions Analyzes a continuous time option pricing model (the so-called exponential Lévy model) Defines a discrete time model with volatility clustering and how to price options using Monte Carlo methods Studies two multivariate settings that are suitable to explain joint extreme events Financial Models with Lévy Processes and Volatility Clustering is a thorough guide to classical probability distribution methods and brand new methodologies for financial modeling.

Clustered Lévy Processes and Their Financial Applications

2016
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Release : 2016
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Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Clustered Lévy Processes and Their Financial Applications by : Donatien Hainaut

Download or read book Clustered Lévy Processes and Their Financial Applications written by Donatien Hainaut. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: This work contributes to the literature over time-changed processes in two directions. Firstly, this is the first thorough study of theoretical properties of Lévy processes, subordinated by a self-excited random clock. The process observed on this new time scale, called clustered Lévy process, presents interesting features for financial modeling like stochastic volatility and grouped jumps. In this framework, we infer analytical expressions for the mean, variance, and a new parametric form of the moment generating function. A bivariate extension is also considered. Furthermore, this article introduces a class of exponential affine changes of measure and the necessary conditions to preserve the dynamics of clustered Lévy processes under an equivalent measure. The second major contribution is empirical. A new particle filter is proposed so as to recover the market time scale from a time series. And a method based on the numerical inversion of the moment generating function is used to estimate parameters. Finally, a numerical analysis reveals that random clocks driving the S&P 500 and Eurostoxx 50 indices are highly correlated to trading volumes.

Quantitative Financial Risk Management

2015-05-06 Business & Economics
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Release : 2015-05-06
Genre : Business & Economics
Kind : eBook
Book Rating : 403/5 ( reviews)

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Book Synopsis Quantitative Financial Risk Management by : Constantin Zopounidis

Download or read book Quantitative Financial Risk Management written by Constantin Zopounidis. This book was released on 2015-05-06. Available in PDF, EPUB and Kindle. Book excerpt: A Comprehensive Guide to Quantitative Financial Risk Management Written by an international team of experts in the field, Quantitative Financial Risk Management: Theory and Practice provides an invaluable guide to the most recent and innovative research on the topics of financial risk management, portfolio management, credit risk modeling, and worldwide financial markets. This comprehensive text reviews the tools and concepts of financial management that draw on the practices of economics, accounting, statistics, econometrics, mathematics, stochastic processes, and computer science and technology. Using the information found in Quantitative Financial Risk Management can help professionals to better manage, monitor, and measure risk, especially in today's uncertain world of globalization, market volatility, and geo-political crisis. Quantitative Financial Risk Management delivers the information, tools, techniques, and most current research in the critical field of risk management. This text offers an essential guide for quantitative analysts, financial professionals, and academic scholars.

Option Pricing and Estimation of Financial Models with R

2011-02-23 Business & Economics
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Release : 2011-02-23
Genre : Business & Economics
Kind : eBook
Book Rating : 203/5 ( reviews)

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Book Synopsis Option Pricing and Estimation of Financial Models with R by : Stefano M. Iacus

Download or read book Option Pricing and Estimation of Financial Models with R written by Stefano M. Iacus. This book was released on 2011-02-23. Available in PDF, EPUB and Kindle. Book excerpt: Presents inference and simulation of stochastic process in the field of model calibration for financial times series modelled by continuous time processes and numerical option pricing. Introduces the bases of probability theory and goes on to explain how to model financial times series with continuous models, how to calibrate them from discrete data and further covers option pricing with one or more underlying assets based on these models. Analysis and implementation of models goes beyond the standard Black and Scholes framework and includes Markov switching models, Lévy models and other models with jumps (e.g. the telegraph process); Topics other than option pricing include: volatility and covariation estimation, change point analysis, asymptotic expansion and classification of financial time series from a statistical viewpoint. The book features problems with solutions and examples. All the examples and R code are available as an additional R package, therefore all the examples can be reproduced.

Quantitative Methods for Economics and Finance

2021-02-12 Business & Economics
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Release : 2021-02-12
Genre : Business & Economics
Kind : eBook
Book Rating : 967/5 ( reviews)

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Book Synopsis Quantitative Methods for Economics and Finance by : J.E. Trinidad-Segovia

Download or read book Quantitative Methods for Economics and Finance written by J.E. Trinidad-Segovia. This book was released on 2021-02-12. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of papers for the Special Issue “Quantitative Methods for Economics and Finance” of the journal Mathematics. This Special Issue reflects on the latest developments in different fields of economics and finance where mathematics plays a significant role. The book gathers 19 papers on topics such as volatility clusters and volatility dynamic, forecasting, stocks, indexes, cryptocurrencies and commodities, trade agreements, the relationship between volume and price, trading strategies, efficiency, regression, utility models, fraud prediction, or intertemporal choice.

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