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You are considering investing in zero coupon bonds. The cumulative yield on a 1-year bond is 5%, 2 year is 5.50% and 3 year is 5.75%. your economist brother tells  you that the real risk free rate is expected to be 3% for the next 1 year and  that inflation for the current year is 2%. There is no maturity or liquidity  risk. What is the one  year effective interest rate expected   for the first year?  What is the inflation rate expected for the  second year?  What  is the one-year effective interest rate expected the 3rd year?  

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