An analyst evaluating securities has obtained the following information. The real rate of interest is $3\%$ and is expected to remain constant for the next $5$

years. Inflation is expected to be $2\mathrm{.}4\%$ next year, $3\mathrm{.}4\%$ the following year, $4\mathrm{.}4\%$ the third year, and $5\mathrm{.}4\%$ every year thereafter. The maturity risk

premium is estimated to be $0\mathrm{.}1(t-1)\%,$ where $t=$ number of years to maturity. The liquidity premium on relevant $5-$year securities is $0\mathrm{.}5\%$ and the

default risk premium on relevant $5-$year securities is $1\%.$

a$.$ What is the yield on a $1-$year T$-$bill? Do not round intermediate calculations. Round your answer to one decimal place.

$\%$

b$.$ What is the yield on a $5-$year T$-$bond? Do not round intermediate calculations. Round your answer to one decimal place.

$\%$

c$.$ What is the yield on a $5-$year corporate bond? Do not round intermediate calculations. Round your answer to one decimal place.

$\%$