Problem $7-31$ Valuing Bonds $($LO$2)$ The Metchosin Corporation has two different bonds currently outstanding. Bond M has a face value of $$10,000$ and matures in $20$ years. The bond makes no payments for the first six years, then pays $$2,200$ every six months over the subsequent eight years, and finally pays $$2,500$ every six months over the last six years. Bond N also has a face value of $$10,000$ and a maturity of $20$ years; it makes no coupon payments over the life of the bond. The required return on both these bonds is $10\%$ compounded semiannually, what is the current price of bond M and bond N$?($Do not round intermediate calculations. Round the final answers to $2$ decimal places.$)$

Current Price Bond M $ Bond N $