mts. vega, recently won thefaculty benefit lottery for $500,000. vega has the option of receiving a lump-sum check for $200,000 or leaving the money in the SUNY Orange faculty benefit fund and receiving an annual year-end check for $25,000 for each of the next 20 years. Prof. Stack likes to (and can) earn at least 10% return (the available interest rate) on his investments. (Omitting any tax implications or consequences please consider and answer the following questions.) For your information the following present value factors at 10% Present Value Present Value of End of Period of $1 an Annuity of $1 20 0.14864 8.51356 a. What is the present value amount of the lump sum - (be careful not to over-think this) (2 points): b. Please show your calculations and identify the present value of the annuity (4 points): c. Which choice financially (the lump sum or the annuity) should (poor) Mrs.vega select and state why this is the best choice? (2 Points)