You observe the following spot rates for $1,2,3,4,$ and $5$ years in the future: $5\mathrm{.}5\%,6\mathrm{.}1\%,6\%,6\mathrm{.}4\%,6\mathrm{.}8\%.$ What's the expected $2-$year spot rate in $3$ years?

$4\mathrm{.}18$

Multiple Choice

$8\mathrm{.}01\%$

$16\mathrm{.}66\%$

$8\mathrm{.}33\%$

$16\mathrm{.}02\%$