You purchase a $$1,000$ par value bond paying a $5\%$ annual coupon. This bond matures in $20$ years and has a YTM of $7\mathrm{.}11\%.$ Five years later, you sell the bond at a time when the YTM is $6\mathrm{.}15\%.$ What annual rate of return have you achieved over your holding period?

Group of answer choices

$8\mathrm{.}82\%$

$8\mathrm{.}11\%$

$7\mathrm{.}91\%$

$7\mathrm{.}77\%$