Suppose the real risk$-$free rate of interest is r$*=3\%$ and it is expected to remain constant over time. Inflation is expected to be $1\mathrm{.}80\%$ per year for the next $3$ years and $4\mathrm{.}00\%$ per year for the next $5$ years. The maturity risk premium is $0\mathrm{.}1\backslash$times $($t$1)\%,$ where t is number of years to maturity, a liquidity premium is $0\mathrm{.}35\%,$ and the default risk premium for a corporate bond is $1\mathrm{.}80\%.$

Complete the following table by calculating yields on Treasury and corporate bonds of various maturity.

The yield on a $4-$year Treasury bond $=$

The yield on a $4-$year corporate bond $=$

The yield on a $8-$year Treasury bond $=$

The yield on a $8-$year corporate bond $=$

Expected inflation in $9$ years, if the yield on a $9-$year Treasury bond is $7\mathrm{.}23\%=$