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Your research has found that the returns of all securities in the economy share oil price as one common factor, Rie=i+iOt+ei where Rie is the

Your research has found that the returns of all securities in the economy share oil price as one common factor,

Rie=i+iOt+ei

where Rie is the excess return Ri Rf . Consider two well diversified portfolios, A and B with following characteristics:

Answer the following questions (they can all be answered independently).

  1. (6 points) Suppose Rf = 5% and E(Ot) = 4%. Check if there are arbitrage opportunities in this market.
  2. (6 points) Suppose A = 0.5% and B = 1%. Calculate the weights of A and B in a zero-beta portfolio. Then describe how you would exploit the arbitrage opportunity and what is the return of doing so.
  3. (8 points) Given the information provided, What must be the risk-free rate Rf and E(Ot) in this economy if there are no arbitrage opportunities?

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