3. a) Consider an annuity of 6 cash flows of $5,000 payable annually. If the interest rate is 7 per cent per annum, what is the value of this annuity today if the first cash flow is to be paid immediately? [8 marks]

3. b) You are considering the purchase of a home for $700,000. You have available a deposit of $100,000. The bank will lend you money at 7 per cent per annum compounded monthly over a period up to 20 years. If you borrow the required funds over 20 years, what are the monthly repayments? After two years, how much do you still ow the bank? What is the interest component of the 25^th repayment? [7 marks]