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Multicointegration and present value relations

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  • Engsted, Tom
  • Haldrup, Niels

Abstract

It is well-known that if the forcing variable of a present value (PV) model is an integrated process, then the model will give rise to a particular cointegrating restriction. In this paper we demostrate that if the PV relation is exact, such that no additive error term appears in the specification, then te variables will be multicointegrated such that the cumlation of cointegration errors at one level of cointegration will cointegrate with the forcing variable. Multicointegration thus delivers a statistical property of the data that is necessary, though not sufficient, for this class of models to be valido Estimation and inference of the model are discussed and it is shown that, provided me PV relation is exact, the discount factor of the model can be estimated with arate of convergence that is faster than the usual super-consistent rate characterising estimators in the cointegration literature. Finally, the paper is completed with two empirical analyses of PV models using term structure data and farmland data, respectively.

Suggested Citation

  • Engsted, Tom & Haldrup, Niels, 1996. "Multicointegration and present value relations," DES - Working Papers. Statistics and Econometrics. WS 4540, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:4540
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    5. Dolado, Juan & Galbraith, John W & Banerjee, Anindya, 1991. "Estimating Intertemporal Quadratic Adjustment Cost Models with Integrated Series," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 919-936, November.
    6. Haldrup, Niels, 1994. "The asymptotics of single-equation cointegration regressions with I(1) and I(2) variables," Journal of Econometrics, Elsevier, vol. 63(1), pages 153-181, July.
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    Keywords

    Present value relations;

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