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Suppose the true model of return r t is r t = + 1 f 1 , t + 2 f 2 , t +

Suppose the true model of return rt is
rt=+1f1,t+2f2,t+t
where f1,t and f2,t are two factors, and t is white noise,
a) Econometrician Mr. Omit is unaware of existence of factor f2,t and runs the following regression
rt=+1f1,t+t
Is hat()1 from this regression (2) an unbiased estimator of 1 in model (1)? Is it consistent? If there is any biased, what is the direction of the bias?
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