Consider the following two dynamic regression models, assignment help


Question Description

Consider the following two dynamic regression models:

Model 1 yt = αyt−1 + βxt + t

Model 2 yt =γxt1−φL +t1−θL

where L is the lag operator and α, β, γ, φ, and θ are parameters. Assume that t ∼ N(0, σ2) (not necessarily the same σ for each model!).

Answer the following:

(a) Under what conditions are these the same dynamic model?

(b) What hypothesis test(s) would we need to use to determine whether these are the same or different model?

(c) If the parameters are different, how would you characterize each of the models and what different interpretations would exist for the impact of a one unit change or shock to xt in each model?

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Conditions under which the two regression models are the same dynamic model
1. Both are time series regression models that explai...

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