You plan to buy an insurance policy for $30,000 today. The insurance company allows you to choose one of the alternatives given below. Your opportunity cost of capital is 10% per annum, compounded quarterly. A-A single amount of $51,500 at the end of five years. B-Payment of $3,100 at the end of every three months for three years. C-A perpetual annual payment of $3,100. Payments are made at the end of each year. Use a financial calculator where appropriate. a) Find the value today of each alternative. b) Is each alternative acceptable - that is, worth $30,000 today? c) Which alternative, if any, would you take? d) Find the rate of return for both alternatives A and B. Compare these alternative investments using the rate of return. [13 marks] Note: Show all your workings for each part