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True and apparent scaling: the proximity of the markov- switching multifractal model to long-range dependence

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Liu, Ruipeng, Di Matteo, T. and Lux, Thomas (2007) True and apparent scaling: the proximity of the markov- switching multifractal model to long-range dependence. Working Paper. Coventry: Warwick Business School, Financial Econometrics Research Centre. Working papers (Warwick Business School. Financial Econometrics Research Centre) (No.07-).

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Official URL: http://www2.warwick.ac.uk/fac/soc/wbs/research/wfr...

Abstract

In this paper, we consider daily financial data of a collection of different stock market indices, exchange rates, and interest rates, and we analyze their multi-scaling properties by estimating a simple specification of the Markov-switching multifractal model (MSM). In order to see how well the estimated models capture the temporal dependence of the data, we estimate and compare the scaling exponents H(q) (for q = 1, 2) for both empirical data and simulated data of the estimated MSM models. In most cases the multifractal model appears to generate ‘apparent’ long memory in agreement with the empirical scaling laws.

Item Type:

Working or Discussion Paper (Working Paper)

Subjects:

H Social Sciences > HG Finance
Q Science > QA Mathematics

Divisions:

Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School

Library of Congress Subject Headings (LCSH):

Scaling (Social sciences), Stock exchanges -- Mathematical models, Multifractals, Markov processes, Estimation theory

Series Name:

Working papers (Warwick Business School. Financial Econometrics Research Centre)

Publisher:

Warwick Business School, Financial Econometrics Research Centre

Place of Publication:

Coventry

Official Date:

2007

Dates:

Date	Event
2007	Published

Number:

No.07-

Number of Pages:

Status:

Not Peer Reviewed

Access rights to Published version:

Open Access

Funder:

Sixth Framework Programme (European Commission) (FP6), Australian Research Council (ARC)

Grant number:

516446 (SFP), DP03440044 (ARC), DP0558183 (ARC)

References:

[1] U. A. Müller, M. M. Dacorogna, R. B. Olsen, O. V. Pictet, M. Schwarz, C. Morgenegg, Journal of Banking and Finance 14, 1189-1208, (1990).
[2] M. M. Dacorogna, R. Gen¸cay, U. A. M¨uller, R. B. Olsen, O. V. Pictet, An Introduction to High Frequency Finance Academic Press, San Diego, (2001).
[3] M. M. Dacorogna, U. A. Müller, R. B. Olsen, O. V. Pictet, Quantitative Finance 1, 198-201, (2001).
[4] T. Di Matteo, Quantitative Finance 7, 21–36, No. 1, (2007).
[5] B. Mandelbrot, A. Fisher, and L. Calvet, Cowles Foundation for Research and Economics Manuscript, (1997).
[6] L. Calvet, and A. Fisher, Journal of Econometrics 105, 27–58, (2001).
[7] L. Calvet, and A. Fisher, Journal of Financial Econometrics 84, 381–406, (2004).
[8] T. Lux, Journal of Business and Economic Statistics in Press, (2007).
[9] R. T. Baillie, T. Bollerslev, and H. Mikkelsen, Journal of Econometrics 74, 3–30, (1996).
[10] T. Di Matteo, T. Aste, and M. Dacorogna, Physica A 324, 183–188, (2003).
[11] T. Di Matteo, T. Aste, and M. Dacorogna, Journal of Banking and Finance 29, 827–851, (2005).
[12] A. W. Lo, Econometrica 59, 1279–1313, (1991).
[13] L. Calvet, and A. Fisher, Review of Economics and Statistics 84, 381–406, (2002).
[14] T. Lux, International Journal of Modern Physics 15, 481–491, (2004).
[15] T. C. Mills, Applied Financial Economics, 3, 303-306, (1993).
[16] B. Huang and C. Yang, Applied Economic Letters, 2, 67-71, (1995).
[17] C. Brooks, Applied Economic Letters, 2, 428-431, (1995).
[18] T. Lux, Applied Economic Letters, 3, 701-706, (1996).
[19] N. Crato and P. J. F. de Lima, Economics Letters, 45, 281-285, (1996).
[20] Williger et al., Finance & Stochastics, 3, 1-13, (1999).