Working as a senior manager at a fast-growing technology company, Gold Standard Ltd (GST), you hold 5,000 shares of Gold Standard stock (via employee stock holding scheme) that is currently trading at $100 per share. You also have $750,000 invested in another (defensive) stock, Natural Gas Ltd. (NGL), to balance the risk of your portfolio. The market information on the two stocks are as follows: Stock Gold Standard: Expected rate of return = 12%, Standard Deviation = 9.11% Stock Natural Gas: Expected rate of return = 6%, Standard Deviation = 3.00% Correlation Coefficient of Stock Gold Standard with Stock Natural Gas = 0.70 The probabilities and rate of returns for GTS under different states of the economy are as follows: State of the Economy Boom Normal Bust Probability 0.25 0.50 0.25 Expected rate of return of Stock Gold Standard under various states of the economy 40% 12% ? (a) Given that the expected rate of return of GST is 12%, calculate its expected return when the state of the economy is "Bust". (4 marks) (b) What is the expected return of your portfolio? [Hints: Calculate the weight of GST and NGL as your first step.] (5 marks) (c) What is the standard deviation of your portfolio? (4 marks)