Suppose you are considering two possible investment opportunities: a $12-$year Treasury bond and a $7-$year, A$-$rated corporate bond. The current real risk$-$free rate is $3\%,$ and inflation is expected to be $2\%$ for the next $2$ years, $3\%$ for the following $4$ years, and $4\%$ thereafter. The maturity risk premium is estimated by this formula: MRP $=0\mathrm{.}01($t $-1)\%.$ The liquidity premium $($LP$)$ for the corporate bond is estimated to be $0\mathrm{.}2\%.$ You may determine the default risk premium $($DRP$),$ given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP$.$

Corporate Bond Yield

Rate Spread $=$ DRP $+$ LP

U$.$S$.$ Treasury $0\mathrm{.}73\%$

AAA corporate $0\mathrm{.}830\mathrm{.}10\%$

AA corporate $1\mathrm{.}250\mathrm{.}52$

A corporate $1\mathrm{.}690\mathrm{.}96$

What yield would you predict for each of these two investments? Round your answers to three decimal places.

$12-$year Treasury yield: fill in the blank $7$

$\%$

$7-$year Corporate yield: fill in the blank $8$

$\%$