What inflation rate is expected during year

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Assume that the real risk free rate is 2% and that the maturity risk is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bond yield is 5% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for year two? Calculate the yield using a geometric average. What inflation rate is expected during year-2? Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate exposed for year 2.

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