Modeling and Forecasting Interval Time Series with Threshold Models: An Application to S&P500 Index Returns

Paulo Rodrigues and Nazarii Salish

Working Papers from Banco de Portugal, Economics and Research Department

Abstract: Over recent years several methods to deal with high-frequency data (economic, financial andother) have been proposed in the literature. An interesting example is for instance interval valued time series described by the temporal evolution of high and low prices of an asset. In this paper a new class of threshold models capable of capturing asymmetric e¤ects in interval-valued data is introduced as well as new forecast loss functions and descriptive statistics of the forecast quality proposed. Least squares estimates of the threshold parameter and the regression slopes are obtained; and forecasts based on the proposed threshold model computed. A new forecast procedure based on the combination of this model with the k nearest neighbors method is introduced. To illustrate this approach, we report an application to a weekly sample of S&P500 index returns. The results obtained are encouraging and compare very favorably to available procedures.

JEL-codes: C12 C22 C52 C53 (search for similar items in EconPapers)
Date: 2011
New Economics Papers: this item is included in nep-ecm, nep-ets, nep-fmk and nep-for
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:ptu:wpaper:w201128

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