Answer:
$498.94
Explanation:
1 year interest rate = 5%
11 year interest rate = 7%
10 year spot interest rate at end of 1 year = [{(1+0.07)^11 / (1+0.05)}^(0.1) - 1]
10 year spot interest rate at end of 1 year = [(2.104852/1.05)^0.1] - 1
10 year spot interest rate at end of 1 year = 1.07202083615 - 1
10 year spot interest rate at end of 1 year = 0.072021
10 year spot interest rate at end of 1 year = 7.202%
Face value = $1,000
Forward Price of contract = $1000/(1+0.0720)^10
Forward Price of contract = $1000/2.00423136
Forward Price of contract = 498.944392915
Forward Price of contract = $498.94
