We want to estimate the coefficient k in the Permanent Income Hypothesis C₁ = kY,0

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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We want to estimate the coefficient k in the Permanent Income
Hypothesis
Cį = kY;*, 0 < k<1
where C; is the consumption and Y* is the permanent income.
However, we do not observe the permanent income. Instead, we
can only use a proxy variable Y₁;, which is contaminated by a
classical measurement error (i.e., Y; Y;* + e; and e; is the
classical measurement error). Then the OLS estimator of k obtained
by regressing C on Y and a constant is
biased downward
biased toward zero
biased upward
unbiased
-
Transcribed Image Text:We want to estimate the coefficient k in the Permanent Income Hypothesis Cį = kY;*, 0 < k<1 where C; is the consumption and Y* is the permanent income. However, we do not observe the permanent income. Instead, we can only use a proxy variable Y₁;, which is contaminated by a classical measurement error (i.e., Y; Y;* + e; and e; is the classical measurement error). Then the OLS estimator of k obtained by regressing C on Y and a constant is biased downward biased toward zero biased upward unbiased -
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