The existence theorem of approximate multibeta representation for multifactor pricing models with unobservable omitted variables: A technical note
This paper extends the approximate multibeta representation of Reisman [Reisman, H. (1988), A general approach to the APT, Econometrica, 56, 473-476, Reisman, H. (1992), Reference variables, factor structure, and the approximate multibeta representation, Journal of Finance, 47(4), 1303-1314] with insufficient information. An existence theorem is presented that if the projection error (when regressing the excess returns on a presumed information set of reference variables with linearity) follows the dependence conditions of a mixing random field, there exists an approximate multibeta representation for the risk premium. This result holds even though the linearity is an incorrect specification and/or that the included variables are not sufficiently informative for the model. In particular, the theorem includes omitted (dynamic) factor(s) which may cause unknown inter-temporal or cross-sectional memory in projection errors. An alternative model selection approach is suggested for the specification of risk premium in empirical finance.
Year of publication: |
2008
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Authors: | Jeng, Jau-Lian |
Published in: |
Global Finance Journal. - Elsevier, ISSN 1044-0283. - Vol. 19.2008, 1, p. 11-18
|
Publisher: |
Elsevier |
Saved in:
Online Resource
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