Suppose you purchase a $30-$year, zero$-$coupon bond with a yield to maturity of $5\mathrm{.}8\%.$ You hold the bond for five years before selling it$.$

a$.$ If the bond's yield to maturity is $5\mathrm{.}8\%$ when you sell it$,$ what is the annualized rate of return of your investment?

b$.$ If the bond's yield to maturity is $6\mathrm{.}8\%$ when you sell it$,$ what is the annualized rate of return of your investment?

c$.$ If the bond's yield to maturity is $4\mathrm{.}8\%$ when you sell it$,$ what is the annualized rate of return of your investment?

d$.$ Even if a bond has no chance of default, is your investment risk free if you plan to sell it before it matures? Explain.

a$.$ If the bond's yield to maturity is $5\mathrm{.}8\%$ when you sell it$,$ what is the annualized rate of return of your investment?

The annualized rate of return of your investment is

$\%.($Round to two decimal places.$)$