Andy purchases a $25-$year bond with coupons of $10\%$ payable half$-$yearly at a price of $$1,754\mathrm{.}76.$ The bond is callable at par on any coupon date starting at the end of $20$th year. The price guarantees that Andy will have a nominal yield rate of at least $6\%$ payable half$-$yearly.

Mark purchases a $30-$year bond identical to the one purchased by Andy except that it is not callable. How much should Mark pay for the bond if his yield is to be the same as Andy's yield?