Theresa Nunn is planning a 30-day vacation on Pulau Penang, Malaysia, one year from now. The present charge for a luxury suite plus meals in Malaysian ringgit (RM) is RM 1,044/day. The Malaysian ringgit presently trades at RM 3.1350/$. She determines that the dollar cost today for a 30-day stay would be $9,990.43. The hotel informs her that any increase in its room charges will be limited to any increase in the Malaysian cost of living. Malaysian inflation is expected to be 2.7177% annum, while U.S. inflation is expected to be 1.242%.

a. How many dollars might Theresa expect to need one year hence to pay for her 30-day vacation? (Round to the nearest cent.)

b. By what percent will the dollar cost have gone up? Why?