PET

Assume that the pure expectations hypothesis is correct. The current term structure of interest rates for Treasury securities is as follows:

$\backslash$table$[[$Maturity$,$Yield$],[$year$,6\mathrm{.}09],[2$ years,$6\mathrm{.}5],[$S years,$7\mathrm{.}0],[10$ years,$7\mathrm{.}5],[15$ years,$7\mathrm{.}2],[20$ years,$6\mathrm{.}5]]$

What does the market think will be the yield on $5-$year Treasury securities $10$ years from now? Provide calculations.