Suppose you are considering two possible investment opportunities: a $12-$year Treasury bond and a $7-$year, AA$-$rated corporate bond. The current real risk$-$free rate is $5\%,$ and inflation is expected to be $3\%$ for the next $2$ years, $4\%$ for the following $4$ years, and $5\%$ 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 $0\mathrm{.}83\%$

AAA corporate $1\mathrm{.}030\mathrm{.}20\%$

AA corporate $1\mathrm{.}430\mathrm{.}60$

A corporate $1\mathrm{.}770\mathrm{.}94$

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 $7$

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

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