Suppose you purchase a $30-$year, zero$-$coupon bond with a yield to maturity of $5\mathrm{.}6\%.$ You hold the bond for five years before selling it$.$ A$)$ If the bond's yield to maturity is $5\mathrm{.}6\%.$ When you sell it$,$ what is the annualized rate of return of your investment? B$)$ If the bond's yield to maturity is $6\mathrm{.}6\%$ when you sell it$,$ what is the annualized rate of return of your invesment? C$)$ If the bond's yield to maturity is $4\mathrm{.}6\%$ when you sell it$,$ what is the annualized rate of return of your invesment? D$)$ Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures?