Suppose you purchase a $20-$year, $$100$ par value, zero$-$coupon bond with a yield to maturity of

$5\%.$ You hold the bond for $5$ years before selling it$.$

a$.$ If the bond's yield to maturity is $4\%$ when you sell it$,$ what is the internal rate of return of

your investment? $($express your answers in percentage points, round to $2$ decimals$)\%$

$(8\mathrm{.}02-8\mathrm{.}1)$

b$.$ If the bond's yield to maturity is $5\%$ when you sell it$,$ what is the internal rate of return of

your investment? $($express your answers in percentage points, round to $2$ decimals$)\%$

$(4\mathrm{.}99-5\mathrm{.}01)$

c$.$ If the bond's yield to maturity is $6\%$ when you sell it$,$ what is the internal rate of return of

your investment? $($express your answers in percentage points, round to $2$ decimals$)\%$

$(2\mathrm{.}02-2\mathrm{.}1)$