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Testing for a unit root in the volatility of asset returns

Testing for a unit root in the volatility of asset returns It is now well established that the volatility of asset returns is time varying and highly persistent. One leading model that is used to represent these features of the data is the stochastic volatility model. The researcher may test for non‐stationarity of the volatility process by testing for a unit root in the log‐squared time series. This strategy for inference has many advantages, but is not followed in practice because these unit root tests are known to have very poor size properties. In this paper I show that new tests that are robust to negative MA roots allow a reliable test for a unit root in the volatility process to be conducted. In applying these tests to exchange rate and stock returns, strong rejections of non‐stationarity in volatility are obtained. Copyright © 1999 John Wiley & Sons, Ltd. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Econometrics Wiley

Testing for a unit root in the volatility of asset returns

Journal of Applied Econometrics , Volume 14 (3) – May 1, 1999

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References (24)

Publisher
Wiley
Copyright
Copyright © 1999 John Wiley & Sons, Ltd.
ISSN
0883-7252
eISSN
1099-1255
DOI
10.1002/(SICI)1099-1255(199905/06)14:3<309::AID-JAE531>3.0.CO;2-X
Publisher site
See Article on Publisher Site

Abstract

It is now well established that the volatility of asset returns is time varying and highly persistent. One leading model that is used to represent these features of the data is the stochastic volatility model. The researcher may test for non‐stationarity of the volatility process by testing for a unit root in the log‐squared time series. This strategy for inference has many advantages, but is not followed in practice because these unit root tests are known to have very poor size properties. In this paper I show that new tests that are robust to negative MA roots allow a reliable test for a unit root in the volatility process to be conducted. In applying these tests to exchange rate and stock returns, strong rejections of non‐stationarity in volatility are obtained. Copyright © 1999 John Wiley & Sons, Ltd.

Journal

Journal of Applied EconometricsWiley

Published: May 1, 1999

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