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You decide to invest 1000 in a 5-year Treasury Inflation protected bond that each year offers a return of -1.5% plus the rate of inflation. You assume 1-year inflation rates over the next five years of (1.5%, 2%, 2.5%, 2.75%, 3%). This means that the rate of return in the first year is zero.
a. What is the total value of your investment in five years?
b. What is the constant nominal interest rate that would lead to the same value in five years?
c. How would your answers to a. and b. change if inflation is higher than you expected?
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