$1.$ A $10-$year US Treasury Bond with a face value of $$1,000$ and a coupon of $7\%$ is currently selling for $$987$ in the secondary market with one year remaining until maturity. The bond is

A$)$ selling at a discount and has a yield of less than $7\%$

B$)$ selling at a premium and has a yield of more than $7\%$

C$)$ selling at a discount and has a yield of more than $7\%$

D$)$ selling at a premium and has a yield of less than $7\%$

E$)$ None of the above

$2.$you buy a principal STRIP maturing in five years. The current price per $$100$ of par for the STRIP is $75\mathrm{.}75$ percent. Assuming semiannual interest, what is the promised yield to maturity on the STRIP?

A$)5\mathrm{.}632$ percent

B$)5\mathrm{.}712$ percent

C$)2\mathrm{.}816$ percent

D$)2\mathrm{.}945$ percent

E$)4\mathrm{.}566$ percent

please give a detailed explanation of the calculation.