Response to the following problem:
The rate of inflation for the coming year is expected to be 3 percent and the rate of inflation in Year 2 and thereafteris respected to remain constant at some level above 3 percent. Assume that the real risk-free rate r* is 2 percent for all maturities and the expectations theory fully explains the yield curve, so there are no maturity premiums. If three-year Treasury bonds yield 2 percentage points more than one-year bonds, what rate of inflation is expected after Year 1?