12. Betty's financial advisor has picked two investments for her portfolio: Sunshine company that sells summer clothes, hats and sunglasses. Rainbow company that sells winter coats, hats and boots Given the following data: Weather Probability of event Returnsunshine Return Rainbow Warm 10% -20% Average 20% 22% Wet 10% 30% I. Calculate the expected Return and standard deviation for Sunshine and Rainbow. Comment on your results. (20 marks) II. Calculate the correlation coefficient of Sunshine and Rainbow and comment upon your results. (20 marks) III. Calculate the expected return and standard deviation of Sunshine and Rainbow with the following weights. (10 marks) Portfolio WeightSrainbow Weightssunshine (%) 100 IV. Use the points below and plot the risk return profile. Draw the indifference curve and explain your graph. (30 marks) Expected Return 15 Standard Deviation 18 0.5 Apple Orange Pear Grape Mango Avocado Peach 26 28 30 V. The higher the risk assumed by an asset the higher the return is demanded by investors. However, according to researchers this is not always the case. Discuss. (20 marks)