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ARCH and GARCH models vs. martingale volatility of finance market returns

Joseph L. McCauley

International Review of Financial Analysis, 2009, vol. 18, issue 4, 151-153

Abstract: ARCH and GARCH models assume either i.i.d. or 'white noise' as is usual in regression analysis, while also assuming memory in a conditional mean square fluctuation with stationary increments. We will show that ARCH/GARCH is inconsistent with uncorrelated increments, violating the i.i.d. and 'white' assumptions, and violating finance data and the efficient market hypothesis as well.

Keywords: Nonstationary; differences/increments; ARCH; GARCH; Martingales; Efficient; market; hypothesis; Volatility (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (7)

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