Please help im a bit confused. Pls show your work. Thx!

1. Stocks offer an expected rate of return of 18%, with a standard deviation of 22%. Gold offers an expected return of 10% with a standard deviation of 30%

a) in light of the apparent inferiority of gold with respect to average return and volatility, would anyone hold gold? Support your argument graphically. Draw a graph to support your argument

b) Assume that the correlation between stocks and gold is -0.5. find the weights wS and wG of the efficient risky portfolio which is invested in stocks and gold and which has an expected return of 15%

2. You are evaluating two investment alternatives. One is a passive market portfolio with an expected return of 10% and a standard deviation of 16%. The other is a fund that is actively managed by your broker. This fund has an expected return of 16% and a standard deviation of 20%. The risk-free rate is currently 7%. Answer the question below based on this information:

a) draw the CML and the CAL on one graph

3. Assume that you manage a risky portfolio with an expected rate of return of 20% and a standard deviation of 25%. The T-bill rate is 7%. Suppose that you have client prefers to invest in your portfolio a proportion (y) of his total investment budget that his overall portfolio will have an expected rate of return of 15%.

a) what is the investment proportion of Y?

b) what is the standard deviation of the rate of return on your clients portfolio?

C) The expected rates of returns for stocks A & B are 28% and 22% respectively. the Tbill rate is 12% and the expected rate of return on S&P 500 index is 24%. The standard deviation of stock A is 22% while the standard deviation for stock B is 20%. if you could invest only in Tbills plus one of these stocks, which stock would you use?