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A discrete and a continuous-time model based on a technical trading rule

A discrete and a continuous-time model based on a technical trading rule In this article we propose a model in discrete and continuous time that incorporates explicitly a technical trading rule in the specification of the volatility. The proposed discrete-time model is an alternative to GARCH-type processes. We derive conditions for the covariance and strict stationarity of the discrete-time process and we study the estimation and inference problems. We also analyze the conditions under which the discrete-time process converges in distribution to a diffusion process. To illustrate the proposed model and compare it with the GARCH specification, we analyze the daily closing stock prices of two major U.S. companies (Microsoft and Oracle), two stock indices (DAX and NASDAQ) and two U.S. Dollar exchange rates (Euro and Sterling) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Financial Econometrics Oxford University Press

A discrete and a continuous-time model based on a technical trading rule

Journal of Financial Econometrics , Volume 5 (2) – Mar 1, 2007

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References (10)

Publisher
Oxford University Press
Copyright
Copyright © The Author 2007. Published by Oxford University Press.
Subject
Articles
ISSN
1479-8409
eISSN
1479-8417
DOI
10.1093/jjfinec/nbm002
Publisher site
See Article on Publisher Site

Abstract

In this article we propose a model in discrete and continuous time that incorporates explicitly a technical trading rule in the specification of the volatility. The proposed discrete-time model is an alternative to GARCH-type processes. We derive conditions for the covariance and strict stationarity of the discrete-time process and we study the estimation and inference problems. We also analyze the conditions under which the discrete-time process converges in distribution to a diffusion process. To illustrate the proposed model and compare it with the GARCH specification, we analyze the daily closing stock prices of two major U.S. companies (Microsoft and Oracle), two stock indices (DAX and NASDAQ) and two U.S. Dollar exchange rates (Euro and Sterling)

Journal

Journal of Financial EconometricsOxford University Press

Published: Mar 1, 2007

Keywords: conditional heteroskedasticity parametric estimation stochastic differential equations diffusion processes

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