You would like to have $100,000 in 10 years from now to fluid the education expenses of a family member. You wish to deposit money into a bank account to achieve this goal. The money will earn interest at 3% per annum compounded annually. (a) How much must you deposit annually as an ordinary annuity to achieve your goal? (3 marks) (b) Instead of making annual deposits, how much would you need to deposit as a lump-sum today to reach your goal? (3 marks) (c) Suppose that at the beginning of the first year, you deposit $10,000 in the bank towards your goal of $100,000 at the end of 10 years. In addition to this deposit, how much must you deposit each year as an ordinary annuity to obtain your goal? (4 marks)