Jennifer Davis has just won the Lotto. Her prize pays $ 36000 at the end of each year for 6 years. In addition, she will receive a one-time payment of $ 216000 at the end of 6 years. Using the following factors at 9%, what amount has Jennifer really won in the Lotto? (round to the nearest dollar)

Type of Cash Flow Periods Interest Rate Factor

PV of $1 6 9% 0.5963

FV of $1 6 9% 1.6771

PV ordinary annuity 6 9% 4.4859

FV ordinary annuity 6 9% 7.5233

PV annuity due 6 9% 4.8896

a. $ 422629

b. $ 290293

c. $ 523746

d. $ 396000