1. Suppose only two risky assets exist in an economy: trees, which offer expected return E[ru] = 0.18 and standard deviation 0 = 0.22; and gold, which offers expected return E[ro] = 0.10 and standard deviation og = 0.30. (a) Gold offers both a lower expected return and a higher variance, would anyone hold gold? If so, provide a particular portfolio that one might hold and plot the corresponding risky mean-variance frontier. If not, provide evidence of your conclusion that under no con- ditions would anyone hold any gold. Assume that the correlation between the assets is between 1 and -1 (i.e. pe (-1,1)). For simplicity, feel free to assume that p=0. (b) Now, suppose that the correlation between the returns to trees and gold is p=1. Docs your answer to part (a) change? Provide graphical evidence for your solution. 1 2. Suppose there are two risky assets: A and B. Asset A has expected return Ma = 0.10 and standard deviation on = 0.05. Asset B has expected return = 0.15 and standard deviation 0b=0.10. The correlation between the two assets is p= -1. If there exists a risk-free asset in addition to these risky assets, what must the rate of return on the risk-free asset, rf, be