Interest rates on $6-$year Treasury securities are currently $1\mathrm{.}72\%,$ while $9-$year Treasury securities yield $1\mathrm{.}83\%.$ If the pure expectations theory is correct, what does the market believe that $3-$year Treasury securities will be yielding $6$ years from now?

a$.2\mathrm{.}05$ percent

b$.2\mathrm{.}38$ percent

c$.2\mathrm{.}54$ percent

d$.1\mathrm{.}96$ percent

e$.1\mathrm{.}87$ percent