Laurent

Publications

A New Class of Multivariate Skew Densities, With Application to Generalized Autoregressive Conditional Heteroscedasticity ModelsJournal articleLuc Bauwens et Sébastien Laurent, Journal of Business & Economic Statistics, Volume 23, Issue 3, pp. 346-354, 2005

We propose a practical and flexible method to introduce skewness in multivariate symmetric distributions. Applying this procedure to the multivariate Student density leads to a “multivariate skew-Student” density in which each marginal has a specific asymmetry coefficient. Combined with a multivariate generalized autoregressive conditional heteroscedasticity model, this new family of distributions is found to be more useful than its symmetric counterpart for modeling stock returns and especially for forecasting the value-at-risk of portfolios.

Bridging the gap between Ox and Gauss using OxGaussJournal articleSébastien Laurent et Jean-Pierre Urbain, Journal of Applied Econometrics, Volume 20, Issue 1, pp. 131-139, 2005

The purpose of this paper is to review and discuss the key improvements brought to OxGauss. Without having to install Gauss on his or her machine, the OxGauss user can run under Ox a wide range of Gauss programs and codes. Even with the consoleOx version (free for academics), Gauss codes can either be called from Ox programs or run and executed on their own. While the new OxGauss version is very powerful in most circumstances, it is of little use once the purpose is to execute programs thatattempt to solve optimization problems using Cml, Maxlik or Optmum. In this paper we propose a set of additional procedures that contribute to bridge the gap between Ox and three well-known Gauss application modules: Cml, Maxlik or Optmum.The effectiveness of our procedures is illustrated by revisiting a large number of freely available Gauss codes in which numerical optimization relies on the above Gauss application modules. The Gauss codes include many programs dealing with nonlinear models such as the Markov regime-switching models STAR models and various GARCH-type models. These illustrations highlight a further potentially interesting implication of OxGauss: it enables non-Gauss users to replicate existing empiricalresults using freely available Gauss codes.

Modelling daily Value-at-Risk using realized volatility and ARCH type modelsJournal articleSébastien Laurent et Pierre Giot, Journal of Empirical Finance, Volume 11, Issue 3, pp. 379-398, 2004

In this paper we show how to compute a daily VaR measure for two stock indexes (CAC40 and SP500) using the one-day-ahead forecast of the daily realized volatility. The daily re-alized volatility is equal to the sum of the squared intraday returns over a given day and thus uses intraday information to define an aggregated daily volatility measure. While the VaR specification based on an ARFIMAX(0,d,1)-skewed Student model for the daily realized volatility provides adequate one-day-ahead VaR forecasts, it does not really improve on the performance of a VaR model based on the skewed Student APARCH model and estimated using daily data. Thus, for the two financial assets considered in an univariate framework, both methods seem to be equivalent. This paper also shows that daily returns standardized by the square root of the one-day-ahead forecast of the daily realized volatility are not normally distributed.

Analytical Derivates of the APARCH ModelJournal articleSébastien Laurent, Computational Economics, Volume 24, Issue 1, pp. 51-57, 2004

This paper derives analytical expressions for the score of the APARCH model of Ding et al. (1993). Interestingly, doing so we derive the analytical score of a broad range of GARCH model since the APARCH model nests at least seven specifications. The use of the APARCH model is now widespread in the literature. However, all the existing applications rely on numerical techniques to calculate the gradients. The paper shows that analytical gradients highly speed-up maximum-likelihood estimation.

Official central bank interventions and exchange rate volatility: Evidence from a regime-switching analysisJournal articleMichel Beine, Sébastien Laurent et Christelle Lecourt, European Economic Review, Volume 47, Issue 5, pp. 891-911, 2003

No abstract is available for this item.

Value-at-risk for long and short trading positionsJournal articlePierre Giot et Sébastien Laurent, Journal of Applied Econometrics, Volume 18, Issue 6, pp. 641-663, 2003

In this paper we model Value-at-Risk (VaR) for daily asset returns using a collection of parametric univariate and multivariate models of the ARCH class based on the skewed Student distribution. We show that models that rely on a symmetric density distribution for the error term underperform with respect to skewed density models when the left and right tails of the distribution of returns must be modelled. Thus, VaR for traders having both long and short positions is not adequately modelled using usual normal or Student distributions. We suggest using an APARCH model based on the skewed Student distribution (combined with a time-varying correlation in the multivariate case) to fully take into account the fat left and right tails of the returns distribution. This allows for an adequate modelling of large returns defined on long and short trading positions. The performances of the univariate models are assessed on daily data for three international stock indexes and three US stocks of the Dow Jones index. In a second application, we consider a portfolio of three US stocks and model its long and short VaR using a multivariate skewed Student density. Copyright © 2003 John Wiley & Sons, Ltd.

Central bank interventions and jumps in double long memory models of daily exchange ratesJournal articleSébastien Laurent et Michel Beine, Journal of Empirical Finance, Volume 10, Issue 5, pp. 641-660, 2003

[eng] Transportation costs and monopoly location in presence of regional disparities. . This article aims at analysing the impact of the level of transportation costs on the location choice of a monopolist. We consider two asymmetric regions. The heterogeneity of space lies in both regional incomes and population sizes: the first region is endowed with wide income spreads allocated among few consumers whereas the second one is highly populated however not as wealthy. Among the results, we show that a low transportation costs induces the firm to exploit size effects through locating in the most populated region. Moreover, a small transport cost decrease may induce a net welfare loss, thus allowing for regional development policies which do not rely on inter-regional transportation infrastructures. cost decrease may induce a net welfare loss, thus allowing for regional development policies which do not rely on inter-regional transportation infrastructures.
[fre] Cet article développe une statique comparative de l'impact de différents scénarios d'investissement (projet d'infrastructure conduisant à une baisse modérée ou à une forte baisse du coût de transport inter-régional) sur le choix de localisation d'une entreprise en situation de monopole, au sein d'un espace intégré composé de deux régions aux populations et revenus hétérogènes. La première région, faiblement peuplée, présente de fortes disparités de revenus, tandis que la seconde, plus homogène en termes de revenu, représente un marché potentiel plus étendu. On montre que l'hétérogénéité des revenus constitue la force dominante du modèle lorsque le scénario d'investissement privilégié par les politiques publiques conduit à des gains substantiels du point de vue du coût de transport entre les deux régions. L'effet de richesse, lorsqu'il est associé à une forte disparité des revenus, n'incite pas l'entreprise à exploiter son pouvoir de marché au détriment de la région l

Market risk in commodity markets: a VaR approachJournal articlePierre Giot et Sébastien Laurent, Energy Economics, Volume 25, Issue 5, pp. 435-457, 2003

We put forward Value-at-Risk models relevant for commodity traders who have long and short trading positions in commodity markets. In a five-year out-of-sample study on aluminium, copper, nickel, Brent crude oil and WTI crude oil daily cash prices and cocoa nearby futures contracts, we assess the performance of the RiskMetrics, skewed Student APARCH and skewed student ARCH models. While the skewed Student APARCH model performs best in all cases, the skewed Student ARCH model delivers good results and its estimation does not require non-linear optimization procedures. As such this new model could be relatively easily integrated in a spreadsheet-like environment and used by market practitioners.

Accounting for conditional leptokurtosis and closing days effects in FIGARCH models of daily exchange ratesJournal articleMichel Beine, Sébastien Laurent et Christelle Lecourt, Applied Financial Economics, Volume 12, Issue 8, pp. 589-600, 2002

This paper, estimates FIGARCH models introduced by Baillie et al. (1996a) for the four major daily exchange rates against the USD (DEM, FRF, YEN and the GBP). The former contributions are extended by accounting for the observed kurtosis through a Student- t based maximum likelihood estimation and by including variables capturing the effect of closing days. These estimations suggest that the introduction of these features improves the goodness of fit properties of the model on the one hand, and may lead to different interest parameters estimates on the other hand. In particular, it is shown that in the case of the DEM, volatility shocks may display much less persistence than documented by previous studies. Finally, it is shown that an ARFIMA-FIGARCH framework turns out to be relevant for all the currencies (except the GBP), without inducing any significant changes in the inference of the stochastic volatility process.

G@RCH 2.2: An Ox Package for Estimating and Forecasting Various ARCH ModelsJournal articleSébastien Laurent et Jean-Philippe Peters, Journal of Economic Surveys, Volume 16, Issue 3, pp. 447-85, 2002

This paper discusses and documents G@RCH 2.2, an Ox package dedicated to the estimation and forecast of various univariate ARCH-type models including GARCH, EGARCH, GJR, APARCH, IGARCH, FIGARCH, HYGARCH, FIEGARCH and FIAPARCH specifications of the conditional variance and an AR(FI)MA specification of the conditional mean. These models can be estimated by Approximate (Quasi) Maximum Likelihood under four assumptions: normal, Student-t, GED or skewed Student errors. Explanatory variables can enter both the conditional mean and the conditional variance equations. h-step-ahead forecasts of both the conditional mean and the conditional variance are available as well as many misspecification tests. We first propose an overview of the package's features, with the presentation of the different specifications of the conditional mean and conditional variance. Then further explanations are given about the estimation methods. Measures of the accuracy of the procedures are also given and the GARCH features provided by G@RCH are compared with those of nine other econometric softwares. Finally, a concrete application of G@RCH 2.2 is provided. Copyright 2002 by Blackwell Publishers Ltd