Congratulations you have just won the tuition lottery! The lottery pay

Congratulations you have just won the tuition lottery! The lottery pays out four beginning-of-the-year cash flows of $50,000 each with the first cash flow today and the remaining cash flows to follow at the start of years 2, 3, and 4.

Since the lottery is managed by the Fergetaboutit University system you are considering their offer of a lump sum of $160,000 today. If after considering all of he relevant economic factors, you conclude it is reasonable to use a 12% interest rate to compare these two offers. Which offer should you take and why?
A) Take the lump sum because the annuity PV is only $151,867.47.
B) Take the annuity because the PV of $170,091.56 is greater than the lump sum.
C) Take the annuity because the PV of $238,966.40 is greater than the lump sum.
D) Take the lump sum because the annuity PV is only $135,595.95.

ANSWER

B
Explanation: B) Via Calculator: N =4, I =12, PMT = 50,000, set timing to “Begin”, Solve for PV = $170,091.56.