You purchase an $n-$year $1,000$ par value bond with $10\mathrm{.}2$ percent annual coupons to yield an annual effective

yield $j.$ The book value of the bond at the end of year $12$ is $1,228\mathrm{.}80$ and the book value of the bond at the

end of year $13$ is $1,217\mathrm{.}73.$

What is the book value at the end of year $11.$

A$)1,229\mathrm{.}44$

B$)1,234\mathrm{.}84$

C$)1,245\mathrm{.}83$

D$)1,239\mathrm{.}11$

E$)1,244\mathrm{.}74$