6.(1) A 13 weeks T-bill with face value $100,000 was sold at annual interest rate of 1% on Monday, February 1st. If you purchase it on February 1st, how much was the purchase price? (2) If you hold the T-bill until maturity (May 1st, 2021), how much will you receive from U.S. Treasury department on maturity date? How much is your annual effective interest rate? (3) If annual interest rate raises to 1.25% 5 weeks later (on March 8, 2021), how much can you sell T-bill on that day? How much is the annual effective interest rate you earned from holding the T-bill for 5 weeks? Will you be better off to sell the T-bill on that day or hold it until maturity? Why