You are planning to buy a semi$-$annually paid corporate bond with a seven$-$year maturity that pays $7$ percent coupon interest. The bond is priced at $$108,500$ per $$100,000$ par value. You expect to sell the bond in two years when a similar$-$risk five$-$year bond is priced to yield $7\mathrm{.}2$ percent annually to maturity. a$)$ Assuming that you can reinvest all cash flows at an $8$ percent annual rate $(4$ percent semiannually$),$ calculate your expected total return over the two$-$year holding period. $(6$ points$)$ b$)$ Suppose, instead, that you plan to sell tip bond after $2$ years when you expect that the reinvestment rate will be $6\%$ APR. Calculate the expected sale price of the bond and your expected total return. $(5$ points$)$ c$)$ Explain why the two calculated total returns differ. $(3$ points$)$