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13. You observe the yields of the following Treasury securities (all yields are shown on a bond-equivalent basis): + Year (Period Yield to Maturity

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13. You observe the yields of the following Treasury securities (all yields are shown on a bond-equivalent basis): + Year (Period Yield to Maturity (%) Spot Rate (%) Year (Period Yield to Maturity (%) Spot Rate (%) 0.5 (1) 5.25 5.25 5.5 (11) 7.75 7.97 1.0 (2) 5.50 5.50 6.0 (12) 8.00 8.27 1.5 (3) 5.75 5.76 6.5 (13) 8.25 8.59 2.0 (4) 6.00 7.0 (14) 8.50 8.92 2.5 (5) 6.25 7.5 (15) 8.75 9.25 3.0 (6) 6.50 8.0 (16) 9.00 9.61 3.5 (7) 6.75 8.5 (17) 9.25 9.97 4.0 (8) 7.00 9.0 (18) 9.50 10.36 4.5 (9) 5.0 (10) 7.25 7.50 9.5 (19) 9.75 10.77 10.00 (20) 10.00 11.20 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. (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?

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