Problem $7-31$ Valuing Bonds $($LO$2)$

The Metchosin Corporation has two different bonds currently outstanding. Bond $M$ has a face value of $$20,000$ and

matures in $20$ years. The bond makes no payments for the first six years, then pays $$1,800$ every six months over the

subsequent eight years, and finally pays $$2,100$ every six months over the last six years. Bond $N$ also has a face value of

$$20,000$ 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.$)$