Because of a recession, the inflation rate expected for the coming year is only $3 \%$. However, the inflation rate in Year 2 and thereafter is expected to be constant at some level above $3 \%$. Assume that the real risk-free rate is $r^*=2 \%$ for all maturities and that there are no maturity risk premiums. If 3 -year Treasury notes yield 2 percentage points more than 1-year notes, what inflation rate is expected after Year 1?