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Jegadeesh and Titman (JT 1993) perform a return decomposition on a momentum portfolio, based on a one-factor return specification in Eq (1) and a
Jegadeesh and Titman (JT 1993) perform a return decomposition on a momentum portfolio, based on a one-factor return specification in Eq (1) and a return description of momentum trading. Equation (1): rit = Mi+biFt + Eit Equation (2): E[(rit Ft) (rit-1 rt-1)] - - a) Use Eq 1 and 2 to derive Eq (3) in JT (1993). Provide detailed steps and explanations. b) In Equation (3), what is the conceptual difference between of Cov(Ft, Ft-1) and Cov(Eit, Eit-1)? c) If either of = 0 or Cov(Ft, Ft-1) = 0, then of Cov(Ft, Ft-1) drops out. Conceptually, why does Cov(Ft, Ft-1)=0 reduce momentum profit? Even if Cov(Ft, Ft-1) > 0, why does o2=0 reduce momentum profit? d) What are two scenarios that can lead to Cov(Eit, Eit-1)=0. Conceptually explain why each of the two scenarios make momentum trading unprofitable.
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