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Assessing multivariate predictors of financial market movements : a latent factor framework for ordinal data

Publié dansThe annals of applied statistics, vol. 3, no. 1, p. 249-271
Date de publication2009
Résumé

Much of the trading activity in Equity markets is directed to brokerage houses. In exchange they provide so-called “soft dollars,” which basically are amounts spent in “research” for identifying profitable trading opportunities. Soft dollars represent about USD 1 out of every USD 10 paid in commissions. Obviously they are costly, and it is interesting for an institutional investor to determine whether soft dollar inputs are worth being used (and indirectly paid for) or not, from a statistical point of view. To address this question, we develop association measures between what broker–dealers predict and what markets realize. Our data are ordinal predictions by two broker–dealers and realized values on several markets, on the same ordinal scale. We develop a structural equation model with latent variables in an ordinal setting which allows us to test broker–dealer predictive ability of financial market movements. We use a multivariate logit model in a latent factor framework, develop a tractable estimator based on a Laplace approximation, and show its consistency and asymptotic normality. Monte Carlo experiments reveal that both the estimation method and the testing procedure perform well in small samples. The method is then used to analyze our dataset.

Mots-clés
  • Latent variable
  • Generalized linear model
  • Factor analysis
  • Multinomial logit
  • Forecasts
  • LAMLE
  • Laplace approximation
Citation (format ISO)
HUBER, Philippe, VICTORIA-FESER, Maria-Pia, SCAILLET, Olivier. Assessing multivariate predictors of financial market movements : a latent factor framework for ordinal data. In: The annals of applied statistics, 2009, vol. 3, n° 1, p. 249–271. doi: 10.1214/08-AOAS213
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Article (Published version)
accessLevelPublic
Identifiants
ISSN du journal1932-6157
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Informations techniques

Création29/04/2010 11:46:00
Première validation29/04/2010 11:46:00
Heure de mise à jour14/03/2023 15:28:41
Changement de statut14/03/2023 15:28:41
Dernière indexation02/05/2024 11:33:28
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