3. You observe the yields of the following Treasury securities (all yields are shown on a bond- equivalent basis). All the securities maturing from 1.5 years on are selling at par. The 0.5 and 1.0-year securities are zero-coupon instruments. Answer the below questions Year Yield to MaturitySpot Rate Year Yield to Maturi Period) Spot Rate 5.25 5.50 5.75 6.00 6.25 6.50 6.75 7.00 7.25 7.50 Period) 5.5 (11) 5.506.0 (12) 6.5 (13) 7.0 (14) 7.5 (15) 8.0 (16) 8.5 (17) 9.0 (18) 9.5 (19) 10.00 (20 5.25 1.0 (2) 1.5 (3) 2.0 (4) 2.5 (5) 3.0 (6) 3.5 (7) 4.0 (8) 4.5 (9) 5.0 (10 7.75 8.00 8.25 8.50 8.75 9.00 9.25 9.50 9.75 10.00 7.97 8.27 8.59 8.92 9.25 9.61 9.97 10.36 10.77 11.20 5.76 (a) Calculate the missing spot rates (b) what should the price of a 6% six-year Treasury security be? (c) What is the six-month forward rate starting in the sixth year