Suppose its December 31, 2020 and that the US treasury has just issued a new bond with the following characteristics: 4% coupon with annual payments, 10-year maturity, $100 face value. The first coupon will be paid on December 31, 2021, and the final payment is on December 31, 2030. Please calculate the following:

a. The bonds price in USD when issued.

b. The bonds yield to maturity when issued.

c. The bonds duration when issued.

d. The bonds price on December 31, 2021, in USD, immediately after the first coupon has been paid. e. The return you would have obtained from the bond if you had bought it when issued, and sold on December 31, 2021, immediately after the first coupon had been paid (include the first coupon in your return!).

f. What would have the coupon rate must have been so that the bonds price when issued was $100 USD? (This is called issued at par.)