It is proved that OLS estimation of the market model is the empirical counterpart of the CAPM

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It is proved that OLS estimation of the market model is the empirical counterpart of the CAPM under classical Gauss–Markov assumptions. Show that: (i) E(ui t ) = 0, (ii) Var (uit ) = σ2i (1 − ρ2iM) ≡ σ2ui is constant, and (iii) Cov (uit , uis ) = 0 for all t ≠ s.

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