Suppose the YTM of zero coupon bonds are given

Maturity (years) YTM

1 ------------------------ 3.1%

2 ------------------------ 4.4%

Consider a 4% Coupon bonds that pays once per year and has a maturity of 2 years. The Face value of the bond is $1000.

What is price of bond?

what is forward rate for second year?

what is expected short rate for second year under expectation theory?

what is market expectation of the price that the coupon bond will sell for next year?