Discrete Time Series, Processes, and Applications in Finance

Name: Discrete Time Series, Processes, and Applications in Finance
Brand: Springer
SKU: 9783642317415
Price: 3633.0 INR
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by Gilles Zumbach

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ISBN13: 9783642317415
Binding: Hardcover
Subject: N/A
Publisher: Springer
Publisher Imprint: Springer
Publication Date: September 26, 2012
Pages: 322
Original Price: EUR 49.99
Language: English
Edition: 2013
Item Weight: 613 grams
BISAC Subject(s): Game Theory, Probability & Statistics / General, and Applied

About The Book

From the Back Cover

Most financial and investment decisions are based on considerations of possible future changes and require forecasts on the evolution of the financial world. Time series and processes are the natural tools for describing the dynamic behavior of financial data, leading to the required forecasts.

This book presents a survey of the empirical properties of financial time series, their descriptions by means of mathematical processes, and some implications for important financial applications used in many areas like risk evaluation, option pricing or portfolio construction. The statistical tools used to extract information from raw data are introduced. Extensive multiscale empirical statistics provide a solid benchmark of stylized facts (heteroskedasticity, long memory, fat-tails, leverage...), in order to assess various mathematical structures that can capture the observed regularities. The author introduces a broad range of processes and evaluates them systematically against the benchmark, summarizing the successes and limitations of these models from an empirical point of view. The outcome is that only multiscale ARCH processes with long memory, discrete multiplicative structures and non-normal innovations are able to capture correctly the empirical properties. In particular, only a discrete time series framework allows to capture all the stylized facts in a process, whereas the stochastic calculus used in the continuum limit is too constraining. The present volume offers various applications and extensions for this class of processes including high-frequency volatility estimators, market risk evaluation, covariance estimation and multivariate extensions of the processes. The book discusses many practical implications and is addressed to practitioners and quants in the financial industry, as well as to academics, including graduate (Master or PhD level) students. The prerequisites are basic statistics and some elementary financial mathematics.

Gilles Zumbach has worked for several institutions, including banks, hedge funds and service providers and continues to be engaged in research on many topics in finance. His primary areas of interest are volatility, ARCH processes and financial applications.

About The Author

Gilles Zumbach has worked for several institutions, including banks, hedge funds and service providers, while continuing to engage in research on many topics in finance, including tick-by-tick time series, market risk evaluations and option pricing, as well as long-term forecasts, bond portfolio construction, and real-time optimization of market orders. His primary areas of interest are volatility, ARCH processes and financial applications.

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