Given that the risk-free rate is 2%, the expected return on the market portfolio is 15%, and the standard deviation of returns to the market portfolio is 20%, answer the following questions: a. You have $500,000 to invest. How should you allocate your wealth between the risk free asset and the market portfolio in order to have a 10% expected return? Since the total weight of one’s portfolio should equal 100% b. What is the standard deviation of your portfolio in (a)? c. What proportions (weights) of your money do you need to invest in the market portfolio and the risk free asset to achieve 20% return? d. What does the weight on the risk free asset in the portfolio in part (c) mean? e. What is the standard deviation of your portfolio in part (c)? f. Are your portfolios in parts (a) and (c) efficient? Why or why not? g. Comment on the connection between the return on your portfolios in parts (a) and (c) and their risk.