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probability of the state of economic Rate of return STOCK A if states STOCK B occurs STOCK C boom 0,2 0,4 -0,04 0,12 good 0,3

probability of the state of

economic

Rate of return

STOCK A

if states

STOCK B

occurs

STOCK C

boom 0,2 0,4 -0,04 0,12
good 0,3 0,2 0,05 0,08
poor 0,4 0,04 0,1 0,02
burst 0,1 -0,06 0,14 0

a. Calculate the expected return of each stock. b. Calculate the variance and standard deviation of each stock. c. Calculate the expected return of the portfolio (Portfolio1) consisting 40% of stock A, 40% of stock B and 20% of stock C. d. Calculate the variance and standard deviation of this portfolio. e. Consider an alternative portfolio (Portfolio2) 40% of stock A, 20% of stock B, 10% of stock C and 30% in the risk-free asset. Risk-free asset expected return is 2%. What is this portfolios expected return, variance and standard deviation? f. Based on CAPM calculate each stock beta if market risk premium is 5%. g. Which stock has the lowest systematic risk? Which stock has the lowest total risk? Which stock is safest? Explain. h. What is the beta of the Portfolio1 and Portfolio?

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