Your elderly mother is considering purchasing an annuity. It will make annual payments for $15$ years with the first payment occurring in nine years. If the interest rate is seven percent and the payments will be $$1,400,$ what is the maximum amount she should pay today for this annuity?

A$.6416\mathrm{.}67$

B$.5825\mathrm{.}11$

C$.12751\mathrm{.}58$

D$.6935\mathrm{.}74$

E$.7421\mathrm{.}24$