Assume a $5-$year Treasury bond has a coupon rate of $4\mathrm{.}5\%.$

a$.$ Give examples of required rates of return that would make the bond sell at a discount, at a premium, and at par.

b$.$ If this bond's par value is $$10\mathrm{.}000.$ calculate the differina values for this bond aiven the required rates vou choose in part a$.$

a$.$ At what rate would the bond sell at a discount? $($Select the best answer below.$)$

A$.3\mathrm{.}0\%$

B$.4\mathrm{.}5\%$

C$.6\mathrm{.}0\%$

At what rate would the bond sell at a premium? $($Select the best answer below.$)$

A$.3\mathrm{.}0\%$

B$.4\mathrm{.}5\%$

C$.6\mathrm{.}0\%$

At what rate would the bond sell at par? $($Select the best answer below.$)$

A$.3\mathrm{.}0\%$

B$.4\mathrm{.}5\%$

C$.6\mathrm{.}0\%$

b$.$ If this bond's par value is $$10,000$ and the required rate is $6\mathrm{.}0\%,$ the present value of the bond is $$.($Round to the nearest cent.$)$

If this bond's par value is $$10,000$ and the required rate is $3\mathrm{.}0\%,$ the present value of the bond is $$.($Round to the nearest cent.$)$

If this bond's par value is $$10,000$ and the required rate is $4\mathrm{.}5\%,$ the present value of the bond is $$.($Round to the nearest cent.$)$