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Smooth Transition Simultaneous Equation Models

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  • Kadilli, Anjeza
  • Krishnakumar, Jaya

Abstract

This paper proposes a generalization of the nonlinear simultaneous equation model of Pesaran and Pick (2007) by modelling the comovement between the two endogenous variables as a smooth function of the magnitude of the endogenous variable rather than a step function. The threshold and the speed at which a shock is transmitted are estimated with the other parameters of the model. We investigate the properties of an accurate estimation method which takes into account endogeneity, and a testing procedure for simultaneity in the presence of nuisance parameters under the null hypothesis. We study the conditions on the parameters that ensure the uniqueness of the implicit reduced form of the model. We apply this methodology to the comovement between the sovereign and banking sectors of nine developed countries.

Suggested Citation

  • Kadilli, Anjeza & Krishnakumar, Jaya, 2022. "Smooth Transition Simultaneous Equation Models," Journal of Economic Dynamics and Control, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:dyncon:v:145:y:2022:i:c:s0165188922002494
    DOI: 10.1016/j.jedc.2022.104546
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    More about this item

    Keywords

    Implicit reduced form; Market comovement; NL2SLS estimation method; Nuisance parameters; Simulations; Simultaneity testing;
    All these keywords.

    JEL classification:

    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G00 - Financial Economics - - General - - - General

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