$5.(2$ points$)$ Suppose the yield to maturity on a one$-$year zero$-$coupon bond is $3\%.$ The yield to maturity on a two$-$year zero$-$coupon bond is $5\%.($a$)$ According to the Expectations Hypothesis, what is the expected one$-$year rate in the marketplace for year $2?($b$)$ Consider an investor who is absolutely convinced that interest rates will not change so that the yield on a one$-$year bond will still be $3\%$ this time next year. Which of these two bonds, the one$-$year zero coupon bond, or the two$-$year zero coupon bond, should this investor buy to maximize their one year return $($under their strongly$-$held belief about future rates$)?$