Don makes a one time investment in the following way: he purchases a $30$ year bond with face value F$,$ semiannual coupons, and with a coupon rate $r^{(2)}=4\%$ and a yield rate $j^{(2)}=6\%.$ Immediately after receiving his coupons, he invests his coupons into an account earning a nominal semiannual interest rate of $i^{(2)}=3\%.$ If the price of the bond is $$3,500$ then find $F$ and find Don's equivalent effective annual interest rate for the $30$ year period.