Answer:
70.1754386
Explanation:
The calculation of the number of the futures contract to sell as follows:
Portfolio value $1,000,000
Face value $100
Units. $10,000
Maturity portfolio. 5
Modified duration. 4
Modified duration of T bonds 9
Yield on portfolio. 0.000015
Yield on T bonds. 0.00001
Future price of the bonds $95
Loss of portfolio. $60
Decline in fut T bond price $.0086
Per value contract. $86
Number of future contract to sold 70.1754386