d. Now, suppose your investment advisor suggests adding the risk-free asset to the portfolio. In other words, your investment advisor recommends you to have a portfolio with three assets: risk-free rate, US equity index, and the International Equity Index. Using the following weights of the risk-free asset as the initial guess, estimate the portfolios that maximize the Sharpe ratios of those portfolios. (15 points) e. Finally, suppose you do not use the weights for the risk-free asset in part d, but any other number you want to assume (as long as the weights of the 3-assets add up to 1). Find a portfolio that maximizes the Sharpe ratio? (15 points) d. Now, suppose your investment advisor suggests adding the risk-free asset to the portfolio. In other words, your investment advisor recommends you to have a portfolio with three assets: risk-free rate, US equity index, and the International Equity Index. Using the following weights of the risk-free asset as the initial guess, estimate the portfolios that maximize the Sharpe ratios of those portfolios. (15 points) e. Finally, suppose you do not use the weights for the risk-free asset in part d, but any other number you want to assume (as long as the weights of the 3-assets add up to 1). Find a portfolio that maximizes the Sharpe ratio? (15 points)