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Modelling Stock Market Volatility: Bridging the Gap to Continuous Time
 
 
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Modelling Stock Market Volatility: Bridging the Gap to Continuous Time [Hardcover]

Peter H. Rossi (Editor)

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Book Description

0125982755 978-0125982757 November 18, 1996 1
This essay collection focuses on the relationship between continuous time models and Autoregressive Conditionally Heteroskedastic (ARCH) models and applications. For the first time, Modelling Stock Market Volatility provides new insights about the links between these two models and new work on practical estimation methods for continuous time models. Featuring the pioneering scholarship of Daniel Nelson, the text presents research about the discrete time model, continuous time limits and optimal filtering of ARCH models, and the specification and estimation of continuous time processes. This work will lead to a rapid growth in their empirical application as they are increasingly subjected to routine specification testing.

Key Features
* Provides for the first time new insights on the links between continuous time and ARCH models
* Collects seminal scholarship by some of the most renowned researchers in finance and econometrics
* Captures complex arguments underlying the approximation and proper statistical modelling of continuous time volatility dynamics

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Editorial Reviews

Review

"Finance applications have led to a rebirth of interest in continuous time econometric modelling. This volume stresses the achievements of Dan Nelson and includes important contributions."
--PETER M. ROBINSON, London School of Economics
"This volume contains some important contributions to a young but burgeoning literature and is a worthy tribute to Dan Nelson's research. Continuous-time econometrics has finally arrived!"
--ANDREW W. LO, Harris & Harris Group Professor, MIT Sloan School of Management, Cambridge, Massachusetts.
"This volume provides much practical guidance for implementing continuous-time models using real-world data, recorded in discrete time. The articles offer methods and insignts relevant to modelling and estimating volatility in the stock market as well as other financial markets, such as fixed income and foreign exchange."
--ROBERT F. STAMBAUGH, University of Pennsylvania
"This collection of path-breaking papers contains useful insights for a range of readers. For financial economists and others interested in modelling the behavior of volatility over time, Daniel Nelson's important work on exponential ARCH, EGARCH, conditional betas, and rolling estimators is here. For financial engineers and others who wish to apply these models to the pricing of derivative securities, the papers in this volume forge important links between the continuous time theoretical models and the discrete time empirical models used to estimate the crucial volatility process."
--WAYNE E. FERSON, University of Washington
"This book is an essential companion for any graduate student or researcher working in financial econometrics. It contains key papers for better understanding volatility modeling of financial time series, especially the link between discrete-time models of the ARCH family and continuous-time stochastic volatility models. The book's first two-thirds contains seminal papers of Dan Nelson, a major contributor to the analysis of the link between the two types of models. A Central issue is the filtering performance provided by ARCH models for the continuous-time unobserved stochastic volatility. The book's final part presents major papers on specification and estimation of continuous-time processes. All of these reference papers will be read time and time again to absorb their full substance. The introduction by Tim Bollersley and Peter Rossi offers a clear organizing canvas that puts all of the papers in the proper perspective.
--Rene Garcia, Universite de Montreal in JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION (June 2000)

From the Back Cover

This essay collection focuses on the relationship between continuous time models and Autoregressive Conditionally Heteroskedastic (ARCH) models and applications. For the first time, Modelling Stock Market Volatility provides new insights about the links between these two models and new work on practical estimation methods for continuous time models. Featuring the pioneering scholarship of Daniel Nelson, the text presents research about the discrete time model, continuous time limits and optimal filtering of ARCH models, and the specification and estimation of continuous time processes. This work will lead to a rapid growth in their empirical application as they are increasingly subjected to routine specification testing.
Key Features
* Provides for the first time new insights on the links between continuous time and ARCH models
* Collects seminal scholarship by some of the most renowned researchers in finance and econometrics
* Captures complex arguments underlying the approximation and proper statistical modelling of continuous time volatility dynamics

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Inside This Book (learn more)
First Sentence:
The crash of October 1987 reminded everyone that stock market volatility is subject to sudden and at best partially predictable shifts. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
diffusion estimator, asymptotically optimal filter, arbitrary finite moments, predictive asymmetry, nonexplosion condition, distributional uniqueness, generator sad, two conditional moments, score generator, consistent filter, conditional kurtosis, rolling regression, continuous record asymptotics, stock market volatility changes, conditional betas, central limit approximations, conditional variance process, decile portfolios, conditional normality assumption, conditional variance estimates, conditional moment tests, nontrading days, volatility diffusions, martingale approximations, autoregressive conditionally heteroskedastic
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Journal of Econometrics, Journal of Financial Economics, University of Chicago, Journal of Business, Graduate School of Business, Academic Press, Econometric Reviews, Review of Financial Studies, Econometric Theory, Journal of Political Economy, American Economic Review, Cambridge University Press, Ito's Lemma, United Kingdom, Department of Economics, Proceedings of the American Statistical Association, Northwestern University, Discussion Paper, Doctoral Dissertation, Handbook of Mathematical Functions, Massachusetts Institute of Technology, Merrill Lynch, National Science Foundation, San Diego
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