$2.$ The face value of a coupon bond is $1000$$$,$ the annual coupon rate is c$=10\%,$ the term to maturity for the bond is $10$ years, what is the yield to maturity for the following bond price?

a$.$ P $=1200$ y $=?$

b$.$ P $=1100$ y $=?$

c$.$ P $=1000$ y $=?$

d$.$ P $=900$ y $=?$

e$.$ P $=800$ y $=?$

Draw a chart to show the relationship between yield to maturity and the price of bond. Describe the relationship. Explain when the bond will be priced at premium, when