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Period 6-Month rate 1 1.5 2 1.7 3 2.11 4 2.98 5 3.71 6 4.01 7 4.82 8 5.13 9 5.45 10 6.25 What is

Period 6-Month rate
1 1.5
2 1.7
3 2.11
4 2.98
5 3.71
6 4.01
7 4.82
8 5.13
9 5.45
10 6.25

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%?v

Now 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.)

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