please asnwer the wuestion given in the picture . please give detailed explanation and dont use gpt . i will like answer . im not sure how do we implement sharpe ratio here . the formula includes expected return of portfolios . help please thanks .

A portfolio is made up of three assets. Asset A has the portfolio weight of 40% and a variance of 0.0256 , asset B has the portfolio weight of 20% and a variance of 0.0625 , and asset C has a variance of 0.04 . The correlation coefficient matrix between three assets is summarized in the following table. The expected return of asset A, B and C is 10%,12% and 15% respectively. Suppose the risk-free rate asset offers 4% return to investors. You decide to form a new portfolio with ONLY ONE risky asset A, B or C and the risk-free asset. Which risky asset would you choose to form the new portfolio? Explain your reasoning. 1. Total 20 marks A portfolio is made up of three assets. Asset A has the portfolio weight of 40% and a variance of 0.0256 , asset B has the portfolio weight of 20% and a variance of 0.0625 , and asset C has a variance of 0.04 . The correlation coefficient matrix between three assets is summarized in the following table. The expected return of asset A, B and C is 10%,12% and 15% respectively. a. Find the portfolio weight of asset C. Show your calculations. [2 marks] b. Find the expected return on the portfolio. Show your calculations. [3 marks] c. Calculate the portfolio standard deviation. Show your calculations. Correct your answers to 4 decimal places. [5 marks] d. Suppose an investor forms a new portfolio to achieve 14% expected return with asset A and C only. Find the standard deviation of the portfolio return. Clearly show your steps and calculations. Correct your answers to 4 decimal places. [5 marks] e. Suppose the risk-free rate asset offers 4% return to investors. You decide to form a new portfolio with ONLY ONE risky asset A, B or C and the risk-free asset. Which risky asset would you choose to form the new portfolio? Explain your reasoning. [5 marks]