Suppose 2-year Treasury bonds yield 3.3%, while 1-year bonds yield 2.7%. r* is 1%, and the maturity risk premium is zero. 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. % What is the expected inflation rate in Year 1? Year 2? Do not round intermediate calculations. Round your answers to two decimal places. Expected inflation rate in Year 1: % Expected inflation rate in Year 2: %

3.90%

1.7%

2.9%

Explanation:

Give the following :

Yield on 2 years Treasury bond (Y2) = 3.3% = 0.033

Yield on 1 years Treasury bond (Y1) = 2.7% = 0.027

r* = risk free rate = 1%

Yield on 1 year bond, 1 year from now :

Compounded yield on yield 1 at 2.7% + Interest on return = compounded yield on 2 years bond :

(1 + 0.027) = yield on year 1

(1 + y) = yield one year from now

(1 + 0.027)¹ + (1 + y)¹ = (1 + 0.033)²

1 + y = (1 + 0.033)² / (1 + 0.027)¹

1 + y = 1.067089 / 1.027

1 + y = 1.0390350

y = 1.0390350 - 1

y = 0.03903

Yield = 0.039 * 100% = 3.90%

Inflation premium = yield rate - Risk free rate - maturity risk premium

Maturity risk premium = 0%

Hence,

For year 1

Inflation premium = 2.7% - 1% - 0% = 1.7%

For year 2:

Inflation premium = 3.9% - 1% - 0% = 2.9%

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