Matt purchases a $20-$year par value bond with a nominal annual coupon rate of $8\%$ compounded

semiannually for a price of $1722\mathrm{.}25.$ The coupons begin paying $6-$months after the bond is purchased,

and the bond can be called at par value $F$ on any coupon date $($after the coupon is paid$)$ starting at the

end of year $15($i$.$e$.$ can be called after paying the ${30}^{th}$ coupon, ${31}^{st}$ coupon,..., ${40}^{th}$ coupon$).$

Given the price $($i$.$e$.1722\mathrm{.}25),F$ is the smallest value that will guarantee $($no matter when the bond

is called$)$ that Matt will achieve a nominal annual yield rate of at least $6\%$ compounded semiannually.

Find $F.$

Give your answer rounded to the nearest whole number $($i$.$e$.$ X$).$