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This is a table about possible rates of return on Stock A and B:

State of the economy Probability Stock A Stock B
Deep recession 0.05 -20% -30%
Mild recession 0.25 10% 5%
Average 0.35 15% 20%
Mild boom 0.20 20% 25%
Strong boom 0.15 25% 30%

The following data have been calculated:

SD(A) = 9.34%, SD(B) = 13.68%, Covariance between Stock A & B = 124.38%, Correlation between Stock A & B = 0.9735

(a) Would it be advisable to form a portfolio of both Stock A and B to diversify risk? Explain reasons in words.

(b) Short-selling either stock is allowed (ie. weights need not be all positive), find the minimun variance one can get by forming a portfolio of Stock A and B.

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Bunny Greenfelder
Bunny GreenfelderLv2
28 Sep 2019

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