Sam Smith predicts that inflation this year is only $3\mathrm{.}5\%.$ However, the inflation rate in year $2$ and thereafter is expected to be constant at some level above $3\mathrm{.}5\%.$ Assume that the expectation theory holds the real risk$-$free rate r$*=2\mathrm{.}9\%.$ If the yield on $4$ years treasury bonds equls the $1-$year yield plus $3\%,$ what inflation rate is expected after year $1.$ Assume there is no MRP$,$ DRP$,$ and no LP$.$ PLEASE SOLVE ON EXCEL.