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SECTION A Note : Attempt all questions. Each question carries 3 marks. (15M) 1. Sheila deposits $4000 at the end of every six months into an account that pays 6% p.a., compounded half yearly. If she does this for four years, how much will be in the account after the last deposit has been made? 2. What is the present value of a 4-year annuity, if the annual interest is 5%, and the annual payment is $1,000? 3. You are considering an investment in a 6-year annuity. At the end of each year for the next six years you will receive cash flows of $90. The initial investment is $414.30. To the nearest percent, what rate of return are you expecting from this investment? 4. Find the future value of an annuity when $200 is deposited at the end of each month for six months if interest is 12% p.a. compounded monthly. 5. John establishes an annuity by depositing $100 000 into an account that pays 10% p.a., compounded quarterly. Equal quarterly withdrawals will be made for the next five years. At the end of this time the account will have zero balance. Calculate the amount of each withdrawal