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Answer each of the following independent questions. 1. You recently won a lottery and have the option of recelving one of the following three prizes: (1) $84,000 cash immediately, (2) $31,000 cash immediately and a six-year annual annuity of $9,100 beginning one year from today, or (3) a six-year annual annuity of $16,400 beginning one year from today. Assuming an interest rate of 5% compounded annually, determine the prosent value for the above options. Which option should you choose? 2. A company wants to accumulate a sum of money to repay certain debts due in the future. The company will make annual deposits of $165,000 into a special bank account at the end of each of 10 years. Assuming the bank account pays 6% interest compounded annually, what will be the fund balance after the last payment is made in ten years? Complete this question by entering your answers in the tabs below. You recently won a lottery and have the option of receiving one of the following three prizes: (1) 584,000 cash immediately, (2) $31,000 cash immediately and a six-year annual annulty of $9,100 beginning one year from today, or (3) a six-year annual annuity of $16,400 beginning one year from today. Assuming an interest rate of 5% compounded annually, determine the present value for the above options. Which option should you choose? Note: Round your final answers to nearest whole dollar amount