Two $$900$ par value bonds are bought to be redeemed at the end of the same period and to yield an annual

nominal rate of $5\%$ convertible semi$-$annually. The price of the first bond is $$1027\mathrm{.}63$ and has a coupon rate

of $6\%.$ The second bond has a coupon rate of $3\%.$ What is the price of the second bond?

A$)644\mathrm{.}74$

B$)859\mathrm{.}65$

C$)429\mathrm{.}83$

D$)967\mathrm{.}11$

E$)322\mathrm{.}37$