$(20$ points$)$ The table below gives information about three bonds, A$,$ B$,$ and C$.$

Suppose that the bonds make annual coupon payments and the face values are $100.$

$($a$)$ Determine the yield to maturity of the bonds.

$($b$)$ According to expectations theory, what do we know about the market's expec$-$

tation for $1-$year interest rate next year and in two years?The table below gives information about three bonds, A$,$ B$,$ and C$.$

Suppose that the bonds make annual coupon payments and the face values are $100.$

$($a$)$ Determine the yield to maturity of the bonds.

$($b$)$ According to expectations theory, what do we know about the market$$s expectation for $1-$year interest rate next year and in two years?