Use the following information to answer questions $16-17$

$$ Current $1-$year spot rate $=5\mathrm{.}5\%$

$$ the $1-$year forward rate one year from now: f$1=7\mathrm{.}63\%,$

$$ the $1-$year forward rate two years from now: f$2=12\mathrm{.}18\%$

$$ the $1-$year forward rate three years from now: f$3=15\mathrm{.}5\%$

$16.$ The value of a $4-$year, $10\%$ annual$-$pay, $$1,000$ par value bond would be closest to:

A$.$ $$844\mathrm{.}55$

B$.$ $$995\mathrm{.}89$

C$.$ $$1,009\mathrm{.}16$

D$.$ $$1,085\mathrm{.}62$

$17.$ Using the annual compounding, the value of a $3-$year, zero$-$coupon, $$1,000$ par value bond would be :

A$.$ $$708$

B$.$ $$785$

C$.$ $$852$

D$.$ $$948$