Consider the following information regarding a new investment that a company intends to undertake:. State of the Economy Probability Market Return Investment Return Expansion 0.30 40% 60% Normal 0.50 10% 25% Recession 0.20 -15% -40% a). Compute the variance and standard deviation of each (8 marks) b). Compute the correlation between the market the investment return(s) (6 marks) c). Compute the beta of the investment (4 marks) d). Assuming the risk free rate is 5% p.a. Compute the required rate return and advice if the investment is worth undertaken. (7 marks) (