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(Do not use excel)You are considering an investment in Stock A and Stock B. Your security...

  1. (Do not use excel)You are considering an investment in Stock A and Stock B. Your security analyst has estimated the returns on these two stocks as follows:

___________________________________________________________________________________

State of            Probability of              Return on Return on
     Economy         State Occurring Stock A Stock B

___________________________________________________________________________________

      Bust 0.10                             –0.10 (or –10%) 0.05 (or 5%)
     Normal 0.60 0.15 (or 15%)              0.10 (or 10%)
     Boom 0.30 0.25 (or 25%) 0.40 (or 40%)

___ _________________________________________________________________________________

a) Find the expected return on each stock.           

Use at least six decimal places when computing (b), (c), and (d) below to minimize rounding errors.

b) Compute the variance and standard deviation of returns of each stock.
c) Find the covariance and correlation between the returns on Stock A and Stock B.
d) Assume that you form a portfolio consisting of Stock A and Stock B. You invest $3,000
in Stock A and $7,000 in Stock B.
i) Find the weight of each stock in the portfolio.
ii) Find the expected return and standard deviation of returns on the portfolio
consisting of Stock A and Stock B.

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