A five year treasury bond has a $4\mathrm{.}9\%$ yield a $10$ year treasury bond yield $6\mathrm{.}8\%$ in a $10$ year corporate bond yield $8\mathrm{.}8\%$ the market expects that inflation will average $2\mathrm{.}4\%$ over the next $10$ years assume that there is no maturity risk premium and that the annual real risk free rate remain constant over the next $10$ years a five$-$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 five$-$year corporate bond