Mrs Z's utility function is given by the following equation: Uz(R, o²) = 0.3R – 0.50? Find the overall optimal portfolio for Mrs Z and compute its expected return and the standard deviation of its returns.
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- Consider two assets. Suppose that the return on asset 1 has expected value 0.05 and standard deviation 0.1 and suppose that the return on asset 2 has expected value 0.02 and standard deviation 0.05. Suppose that the asset returns have correlation 0.4.Consider a portfolio placing weight w on asset 1 and weight 1-w on asset 2; let Rp denote the return on the portfolio. Find the mean and variance of Rp as a function of w.We consider a one-step binomial tree in which the parameters are u = 1.2, d = 0.8, r = 0.12, T = 0.25, fu = 3, fa = 0. Evaluate the followings: (1) Calculate the probability p of an up movement in a risk-neutral world. (2) Compute the current price f.State the return rate (in %) for your optimal portfolio.
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