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Threshold Structures in Economic and Financial Time Series

In: Mathematical and Statistical Methods for Actuarial Sciences and Finance

Author

Listed:
  • Marcella Niglio

    (Univerisità degli Studi di Salerno, Di.S.E.S.)

  • Cosimo Damiano Vitale

    (Univerisità degli Studi di Salerno, Di.S.E.S.)

Abstract

In this paper we present some nonlinear autoregressive moving average (NARMA) models proposed in the literature focusing then the attention on the Threshold ARMA (TARMA) model with exogenous threshold variable. The main features of this stochastic structure are shortly discussed and the forecasts generation is presented. It is widely known that in presence of most economic time series the nonlinearity of the data generating process can be well caught by the threshold model under analysis even if, at the same time, the forecast accuracy is not always equally encouraging. Starting from this statement we evaluate how the forecast accuracy of the US Consumer Price Index can be improved when a TARMA model with exogenous threshold variable is fitted to the data. We give empirical evidence that predictors based on a squared loss function can be more accurate when the spread between US Treasury Bonds and US Treasury Bills is selected as threshold variable.

Suggested Citation

  • Marcella Niglio & Cosimo Damiano Vitale, 2014. "Threshold Structures in Economic and Financial Time Series," Springer Books, in: Marco Corazza & Claudio Pizzi (ed.), Mathematical and Statistical Methods for Actuarial Sciences and Finance, pages 231-241, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-02499-8_21
    DOI: 10.1007/978-3-319-02499-8_21
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