Consider following term structure of Treasury bill

Period	6-month Rate
1	1.50%
2	1.70%
3	2.11%
4	2.98%
5	3.71%
6	4.01%
7	4.82%
8	5.13%
9	5.45%
10	6.25%

A. What is the price and Macaulay duration of a semi-annual coupon bond whose face value is $1,000 with 4 year maturity and annual coupon rate of 5.4%?

B. Suppose a semi-annual bond with 5 year maturity that has 13% as annual coupon rate. If you want to short futures contract with this bond at $1020, how much of a dollar profit would you realize if the maturity of this futures is after fourth coupon payment?

(hint: current price of bond = PV of all future remaining coupon payment and face value.)