Comparison of Volatility Measures: A Risk Management Perspective

Universita' di Firenze, Dipartimento di Statistica G. Parenti Working Paper No. 2008-3

38 Pages Posted: 12 Dec 2007 Last revised: 27 Apr 2009

See all articles by Christian T. Brownlees

Christian T. Brownlees

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences; Barcelona Graduate School of Economics (Barcelona GSE)

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"

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Date Written: April 2009

Abstract

In this paper we address the issue of forecasting Value-at-Risk (VaR) using different volatility measures: realized volatility, bipower realized volatility, two scales realized volatility, realized kernel as well as the daily range. We propose a dynamic model with a flexible trend specification bonded with a penalized maximum likelihood estimation strategy: the P-Spline Multiplicative Error Model. Exploiting UHFD volatility measures, VaR predictive ability is considerably improved upon relative to a baseline GARCH but not so relative to the range; there are relevant gains from modeling volatility trends and using realized kernels that are robust to dependent microstructure noise.

Keywords: Volatility Measures, VaR Forecasting, GARCH, MEM, P-Splines

JEL Classification: C22, C51, C52, C53

Suggested Citation

Brownlees, Christian T. and Gallo, Giampiero M., Comparison of Volatility Measures: A Risk Management Perspective (April 2009). Universita' di Firenze, Dipartimento di Statistica G. Parenti Working Paper No. 2008-3, Available at SSRN: https://ssrn.com/abstract=1070321 or http://dx.doi.org/10.2139/ssrn.1070321

Christian T. Brownlees (Contact Author)

Universitat Pompeu Fabra - Faculty of Economic and Business Sciences ( email )

Ramon Trias Fargas 25-27
Barcelona, 08005
Spain

HOME PAGE: http://84.89.132.1/~cbrownlees/

Barcelona Graduate School of Economics (Barcelona GSE) ( email )

Ramon Trias Fargas 25-27
Barcelona, Catalonia 08014
Spain

Giampiero M. Gallo

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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