Consider the Koyck (or, for that matter, the adaptive expectations) model given in Eq. (17.4.7), namely, Suppose

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Consider the Koyck (or, for that matter, the adaptive expectations) model given in Eq. (17.4.7), namely,

Y-α(1-λ) + β X +λY- + (1- λι-1)


Suppose in the original model ut follows the first-order autoregressive scheme ut ˆ’ ρu1ˆ’t = εt, where ρ is the coefficient of autocorrelation and where εt satisfies all the classical OLS assumptions.

a. If ρ = λ, can the Koyck model be estimated by OLS?

b. Will the estimates thus obtained be unbiased? Consistent? Why or why not?

c. How reasonable is it to assume that ρ = λ?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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