Matt purchases a $20-$year par value bond with $8\%$ semiannual coupons at a price of $1,722\mathrm{.}25.$ The bond can be

called at par value $x$ on any coupon date starting at the end of year $15.$ The price guarantees that Matt will receive

a nominal semiannual yield of at least $6\%.$

A $1,700$

Bert purchases a $20-$year par value bond identical to the one purchased by Matt except it is not callable.

B $1,725$

Assuming a nominal semiannual yield of $6\%,$ the cost of the bond purchased by Bert is $P.$

C $1,750$

Calculate $P.$

D $1,775$