You buy a $8\mathrm{.}1\%$ semi$-$annual bond maturing in exactly $13$ years for $107\mathrm{.}477.$ You hold the bond for $6$ years. Then you sell the bond at $102\mathrm{.}2766.$ Your holding period $($realized$)$ yield on this investment is:

Multiple Choice

none of the answers

$7\mathrm{.}307\%$

$8\mathrm{.}585\%$

$8\mathrm{.}147\%$

$6\mathrm{.}871\%$