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Suppose 2-year Treasury bonds yield 5

Finance

Suppose 2-year Treasury bonds yield 5.9%, while 1-year bonds yield 4.8%. r* is 1.5%, and the maturity risk premium is zero. Negative expected inflation rates, if any, should be indicated by a minus sign.

  1. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places.
  2. What is the expected inflation rate in Year 1? Do not round intermediate calculations. Round your answer to two decimal places.
  3. What is the expected inflation rate in Year 2? Do not round intermediate calculations. Round your answer to two decimal places

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Treasury bond of yield= 5.9%

r= 1.5%

1- year bond yield= 4.8%

 

a.)

Yield on 1- year bond= ((1+ 5.9%)^ 2/ (1+ 4.8%))-1

= (1.12148/ 1.048)- 1

= 7.01%

 

b.)

Expected inflation rate in 1- year= 4.8- 1

= 3.8%

 

c.)

Expected inflation rate in 2- year= 7.01- 1

= 6.01%