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Please show steps and explain :) Thank you Consider the following setup: . 3 states of the world: pi = Prob(si) = 0.3, P2 =

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Please show steps and explain :) Thank you

Consider the following setup: . 3 states of the world: pi = Prob(si) = 0.3, P2 = Prob(s) = 0.4 and P3 = Prob(81) = 0.3 1 Asset A's price today is P4,0 = 104, in 6 months it pays for sure a dividend D2,0.5 = 1.5 and its ex-dividend price will be state-dependent either PA,0.5(S1) = 110, P4,0.5(82) 103 and PA,0.5(83) = 90 Asset B's price today is P3,0 = 51, in 6 months it pays for sure a dividend DB,0.5 = 3.5 and its ex-dividend price will be state-dependent either P3,0.5(S1) = 52, P3,0.5 (82) = 57 and P8,0.5(83) = 35 the risk-free interest rate during this 6 months is 0.01 Compute the following 1. The expected returns, risk premia, volatilities and correlations of the three assets 2. The expected return and volatility of a portfolio invested 60% (i.e. with a weight of 0.6) in asset A, 30% in asset B and 10% in the risk-free asset Hint 1: for question 2 first compute the (3 x 1) vector of expected return Ho and the (3 x 3) covariance matrix Vo Hint 2: the covariance between a constant and a random variable is zero

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