Answer each of the following independent questions. 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 a sixperiod annuity of $8,000 beginning one year from today, or (3) a six-period annuity of $13,000 beginning one year from today. (FV of $1. PV of $1. FVA of $1. PVA of $1, FVAD of $1 and PVAD of \$1) (Use appropriate factor(s) from the tables provided.) 1-a. Assuming an interest rate of 6%, determine the PV value for the above options