Please answer with an explanation for question 1 & 2 & the use of the financial keys on the calculator for question 3. Thank you

1. A bond sold five weeks ago for $1,100. The bond is worth S1,050 in today's market. Assuming no changes in risk, which of the following is false? a. The bond has less maturity today than it did five weeks ago b. The bond has a smaller premium today than it did five weeks ago c. Interest rates must be higher now than they were five weeks ago d. The bond's current yield has increased from five weeks ago e. The coupon payment of the bond must have increased. 2. Given r and t greater than zero I. Present value interest factors are less than one Il. Future value interest factors are greater than one III.Present value interest factors are greater than future value interest factors. IV Present value interest factors grow as t grows, provided r is held constant. a. I only b. I and II only c. I and IV only d. II and III only e. II and IV only 3. A "Name That Tune" contest has a grand prize of S500,000 However, the contest stipulates that the winner will receive just $200,000 immediately, and $30,000 at the end of each of the next 10 years. Assuming that one can earn 8% on their money, how much has the contest winner actually won? a. $250,000.00 b. $309,225.11 c. $365,826.02 d. $401,302.44