2. Suppose the true model of return rt is rt = a + B₁f₁,t + B₂f2,t + &t where fit and f2,t are two factors, and & is white noise, a) Econometrician Mr. Omit is unaware of existence of factor f2,t and runs the following regression (1) rt = a + B₁f1,t + &t (2) Is ₁ from this regression (2) an unbiased estimator of B₁ in model (1)? Is it consistent? If there is any biased, what is the direction of the bias?
2. Suppose the true model of return rt is rt = a + B₁f₁,t + B₂f2,t + &t where fit and f2,t are two factors, and & is white noise, a) Econometrician Mr. Omit is unaware of existence of factor f2,t and runs the following regression (1) rt = a + B₁f1,t + &t (2) Is ₁ from this regression (2) an unbiased estimator of B₁ in model (1)? Is it consistent? If there is any biased, what is the direction of the bias?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:2. Suppose the true model of return rt is
rt = a + B₁f₁,t + B₂f2,t + &t
where fit and f2,t are two factors, and & is white noise,
a) Econometrician Mr. Omit is unaware of existence of factor f2,t and runs the following
regression
(1)
rt = a + B₁f1,t + &t
(2)
Is ₁ from this regression (2) an unbiased estimator of B₁ in model (1)? Is it consistent? If there is
any biased, what is the direction of the bias?
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