A $5-$year Treasury bond has a $5\mathrm{.}2\%$ yield. A $10-$year Treasury bond yields $7\mathrm{.}0\%,$ and a $10-$year corporate bond yields $8\mathrm{.}7\%.$ The market expects that inflation will average $2\mathrm{.}0\%$ over the next $10$ years $($IP$10=2\mathrm{.}0\%).$ Assume that there is no maturity risk premium $($MRP $=0)$ and that the annual real risk$-$free rate, r$*,$ will remain constant over the next $10$ years. $($Hint: Remember that the default risk premium and the liquidity premium are zero for Treasury securities: DRP $=$ LP $=0.)$ A $5-$year corporate bond has the same default risk premium and liquidity premium as the $10-$year corporate bond described. What is the yield on this $5-$year corporate bond? Round your answer to one decimal place.