Question

Yields on short-term bonds tend to be more volatile than yields on long-term bonds. Suppose that you have estimated that the yield on 20-year bonds changes by 10 basis points for every 15-basis-point move in the yield on 5-year bonds. You hold a $1 million portfolio of 5-year maturity bonds with modified duration 4 years and desire to hedge your interest rate exposure with T-bond futures (20 year maturity), which currently have modified duration 9 years and sell at F0 = $95. How many futures contracts should you sell?

Answer 1

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