Semiparametric Vector MEM

21 Pages Posted: 12 Oct 2008

See all articles by Fabrizio Cipollini

Fabrizio Cipollini

Universita di Firenze, DiSIA (Dipartimento di Statistica, Informatica, Applicazioni)

Robert F. Engle

New York University (NYU) - Department of Finance; National Bureau of Economic Research (NBER); New York University (NYU) - Volatility and Risk Institute

Giampiero M. Gallo

Corte dei Conti - Italian Court of Audits; University of Bologna - Rimini Center for Economic Analysis (RCEA); Universita' di Firenze - Dipartimento di Statistica, Informatica, Applicazioni "G.Parenti"

Multiple version iconThere are 2 versions of this paper

Date Written: September 4, 2008

Abstract

In financial time series analysis we encounter several instances of non-negative valued processes (volumes, trades, durations, realized volatility, daily range, and so on) which exhibit clustering and can be modeled as the product of a vector of conditionally autoregressive scale factors and a multivariate iid innovation process (vector Multiplicative Error Model). Two novel points are introduced in this paper relative to previous suggestions: a more general specification which sets this vector MEM apart from an equation by equation specification; and the adoption of a GMM-based approach which bypasses the complicated issue of specifying a general multivariate non-negative valued innovation process. A vMEM for volumes, number of trades and realized volatility reveals empirical support for a dynamically interdependent pattern of relationships among the variables on a number of NYSE stocks.

Keywords: GARCH, GMM, MEM, NYSE, number of trades, realized volatility, volumes

JEL Classification: C32, C51

Suggested Citation

Cipollini, Fabrizio and Engle, Robert F. and Gallo, Giampiero M., Semiparametric Vector MEM (September 4, 2008). Available at SSRN: https://ssrn.com/abstract=1282155 or http://dx.doi.org/10.2139/ssrn.1282155

Fabrizio Cipollini

Universita di Firenze, DiSIA (Dipartimento di Statistica, Informatica, Applicazioni) ( email )

Viale Morgagni, 59
Florence, Florence 50134
Italy
+39 055 2751592 (Phone)
+39 055 4223560 (Fax)

Robert F. Engle

New York University (NYU) - Department of Finance

Stern School of Business
44 West 4th Street
New York, NY 10012-1126
United States

National Bureau of Economic Research (NBER)

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

New York University (NYU) - Volatility and Risk Institute ( email )

44 West 4th Street
New York, NY 10012
United States

Giampiero M. Gallo (Contact Author)

Corte dei Conti - Italian Court of Audits ( email )

viale Mazzini
Roma, Roma 00195
Italy

University of Bologna - Rimini Center for Economic Analysis (RCEA) ( email )

Via Patara, 3
Rimini (RN), RN 47900
Italy

Universita' di Firenze - Dipartimento di Statistica, Informatica, Applicazioni "G.Parenti" ( email )

Viale G.B. Morgagni, 59
Florence, 50134
Italy
0039 055 2751 591 (Phone)
0039 055 4223560 (Fax)

HOME PAGE: http://www.disia.unifi.it/gallog

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