Answer each of the given independent questions
Problem 1. Alex Meir recently won a lottery and has the option of receiving one of the following three prizes.
(1) 64,000 cash immediately,
(2) $20,000 cash immediately and six-period annuity of $8,000 beginning one year from today,
(3) a six period annuity of $8,000 beginning one year from today, or
(4) a six year period annuity of $13,000 beginning one year from today.
Assuming an interest rate of 6%, which option would Alec choose?
Problem 2. The Weiner Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2020. Weiner will make annual deposits of $100,000 into a special bank account at the end of each of 10 years beginning December 31, 2011. Assuming that the banks pays 7% interest compounded annually, on December 30, 2014 what will be the fund balance after the last payment?