Today is May 6, 2020. Dayo has $4,836.47 and wants to buy a T-bill with a face value of $5,000 that matures on February 12, 2021. The annual simple discount rate is 5.000% and the daycount convention is ACT / 365.

a) How much would the T-bill cost if she were to purchase it today?

b) How much interest would she earn every day (if the discount rate stayed constant)?

c) If Keiko doesn't buy the T-bill today, what is the last day on which she will still be able to buy it?