You are an Investment Analyst at a fund management company, Waikato Investment Management Ltd. You are asked to analyze the characteristics of two stocks, Wanaka Holdings Ltd. and Pukaki Consolidated Ltd. Below is a table showing some of the data you have gathered: In addition, you also know that the expected return and standard deviation of NZX50 (the market index) are both 10%, and the risk-free rate of interest presently is 2%. Assume that you can borrow and lend at the risk-free rate. Answer the following questions. Round the value of a non-integer number limited to two decimal places. You are expected to show the workings as much as possible. (a) What would be the weight of Wanaka and Pukaki in a portfolio that has exactly the same expected rate of return as the market? Hint: obtain the expected return for each of the two stocks first. (4 marks) (b) What would be the weight of Wanaka and Pukaki in a portfolio that has a rate of return of 14% ? (1 mark) (c) What is the variance of the portfolio in (b) if the correlation between Wanaka and Pukaki is 0.5 ? (1 marks)