answer each of the following independent questions. you recently won a lottery and have the option of receiving one of the following three prizes: (1) $76,000 cash immediately, (2) $27,000 cash immediately and a six-year annual annuity of $8,500 beginning one year from today, or (3) a six-year annual annuity of $15,800 beginning one year from today. assuming an interest rate of 7% compounded annually, determine the present value for the above options. which option should you choose? a company wants to accumulate a sum of money to repay certain debts due in the future. the company will make annual deposits of $145,000 into a special bank account at the end of each of 10 years. assuming the bank account pays 8% interest compounded annually, what will be the fund balance after the last payment is made in ten years?