ARCH and GARCH models vs. martingale volatility of finance market returns
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.
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- McCauley, Joseph L. & Bassler, Kevin E. & Gunaratne, Gemunu H., 2008. "Martingales, detrending data, and the efficient market hypothesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 202-216.
- Katarina Juselius & Ronald MacDonald, 2003.
"International Parity Relationships Between Germany and the United States: A Joint Modelling Approach,"
FRU Working Papers
2004/08, University of Copenhagen. Department of Economics. Finance Research Unit.
- Katarina Juselius & Ronald MacDonald, 2000. "International Parity Relationships between Germany and the United States: A Joint Modelling Approach," Discussion Papers 00-10, University of Copenhagen. Department of Economics.
- Bassler, Kevin E. & McCauley, Joseph L. & Gunaratne, Gemunu H., 2006. "Nonstationary increments, scaling distributions, and variable diffusion processes in financial markets," MPRA Paper 2126, University Library of Munich, Germany.
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