A zero coupon bond is a bond that is sold now at a discount and will pay its face value at some time in the future when it matures $-$ no interest payments are made.

A zero coupon bond with a face value of $$11,000$ matures in $10$ years. What should the bond be sold for now if its rate of return is to be $4\mathrm{.}2\%$ compounded semiannually?

A fair price to buy the bond at would be $

$($Round to the nearest cent as needed.$)$