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Subordinated Market Index Models: A Comparison
Authors:SIMON R. HURST  ECKHARD PLATEN  SVETLOZAR T. RACHEV
Affiliation:(1) Centre for Financial Mathematics, School of Mathematical Sciences, The Australian National University, Canberra, ACT, 0200, Australia;(2) Department of Statistics and Applied Probability, University of California, Santa Barbara, CA, 93106-3110, USA.
Abstract:
The paper compares various processes subordinated to the Wiener process tomodel the leptokurtic characteristics of index returns. Empirical analysisis performed on the Dow Jones and Nikkei 225 indexes. A good model to capturethe typical tail behaviour of these indexes turns out to be a long Studentt distributed one.
Keywords:Asset price model  subordination  leptokurtic  Student t distribution  symmetric generalised hyperbolic distribution
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