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1. Given two stocks with E(r1) = 10%, E(r2) = 15%, σ1 = 20%, σ2 = 25%. Calculate the expected returns and standard deviations of a two-stock portfolio under each of the following conditions:
(a) w1 = 0.60, w2 = 0.40, ρ = 0.5; (5 marks)
(b) w1 = 0.50, w2 = 0.50, ρ = 0; (5 marks)
(c) w1 = 0.40, w2 = 0.60, ρ = -0.5. (5 marks)
Here wi is the weight of stock i in the portfolio, ρ is the correlation between two stock returns.
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