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Mean first passage time for the ESTAR model using the integral equation approach and its applications

Journal Article


Abstract


  • Basak and Ho (2004) derived numerical formulas for the mean first passage time of ARMA models using the integral equation approach. Recently, the ESTAR model has become a popular model for the analysis of economic and financial data. Some researchers used the ESTAR model to analyze real exchange rates, purchasing power parity (PPP) deviations, and arbitrage processes. This article shows that under certain conditions, the integral equation approach can still be used for the ESTAR model. Numerical schemes of the mean first passage time for ESTAR(1) and ESTAR(2) models are proposed in this article. The applications of the schemes for real exchange rates between Australian and New Zealand dollars as well as for pairs trading following the ESTAR(1) model are provided. Copyright © Grace Scientific Publishing, LLC.

Publication Date


  • 2014

Citation


  • Puspaningrum, H., Lin, Y. & Gulati, C. M. (2014). Mean first passage time for the ESTAR model using the integral equation approach and its applications. Journal of Statistical Theory and Practice, 8 (4), 559-577.

Scopus Eid


  • 2-s2.0-84905364414

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/4014

Number Of Pages


  • 18

Start Page


  • 559

End Page


  • 577

Volume


  • 8

Issue


  • 4

Abstract


  • Basak and Ho (2004) derived numerical formulas for the mean first passage time of ARMA models using the integral equation approach. Recently, the ESTAR model has become a popular model for the analysis of economic and financial data. Some researchers used the ESTAR model to analyze real exchange rates, purchasing power parity (PPP) deviations, and arbitrage processes. This article shows that under certain conditions, the integral equation approach can still be used for the ESTAR model. Numerical schemes of the mean first passage time for ESTAR(1) and ESTAR(2) models are proposed in this article. The applications of the schemes for real exchange rates between Australian and New Zealand dollars as well as for pairs trading following the ESTAR(1) model are provided. Copyright © Grace Scientific Publishing, LLC.

Publication Date


  • 2014

Citation


  • Puspaningrum, H., Lin, Y. & Gulati, C. M. (2014). Mean first passage time for the ESTAR model using the integral equation approach and its applications. Journal of Statistical Theory and Practice, 8 (4), 559-577.

Scopus Eid


  • 2-s2.0-84905364414

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/4014

Number Of Pages


  • 18

Start Page


  • 559

End Page


  • 577

Volume


  • 8

Issue


  • 4