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Consider the following information on stocks a and b State of the economy probability Stock a Stock b Recession 0.10 - 0.20 0.14 normal 0.60

Consider the following information on stocks a and b

State of the economy

probability

Stock a

Stock b

Recession

0.10

- 0.20

0.14

normal

0.60

0.10

0.24

boom

0.30

0.42

0.28

The market portfolios return is 14% , and the risk free is 6%

Calculate the expected return and standard deviation of stock a and b, respectively

Based upon the expected return of a and b calculated in part a find out their betas

Compute the co-variance between stocks A and B

Consider a portfolio which puts 60% of the money on stock A and the rest of the money on stock B, what must be the expected return and standard deviation of such a portfolio

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