Advanced Hedging Techniques with Treasury Futures: Tailing the Hedge and Basis Risk

In addition to the basic duration-neutral hedge, there are a number of more advanced hedging techniques that can be used with Treasury futures. These include:

• Tailing the Hedge: This is a technique that is used to adjust the hedge for the fact that the futures contract is marked to market on a daily basis. This is done by slightly reducing the number of futures contracts that are sold.
• Basis Risk Management: This is the process of managing the risk that the price of the futures contract will not move in perfect lockstep with the price of the underlying bond. This can be done by using a combination of different futures contracts or by using options on futures.

Tailing the Hedge

The daily settlement of futures contracts can create a tracking error between the hedge and the underlying position. This is because the gains and losses on the futures contract are realized on a daily basis, while the gains and losses on the underlying bond are not. This can lead to a situation where the hedge is not perfectly effective.

To address this issue, traders can use a technique called tailing the hedge. This involves slightly reducing the number of futures contracts that are sold. The amount of the reduction is determined by the following formula:

Hedge Ratio = 1 / (1 + r * t)*

Where:

• r is the risk-free interest rate.
• t is the time to maturity of the futures contract.

Basis Risk Management

Basis risk is the risk that the price of the futures contract will not move in perfect lockstep with the price of the underlying bond. This can be caused by a number of factors, such as changes in the cheapest-to-deliver bond, changes in the repo rate, and changes in the overall level of liquidity in the market.

There are a number of ways to manage basis risk. One way is to use a combination of different futures contracts. For example, a trader might use a combination of 2-year, 5-year, and 10-year Treasury note futures contracts to hedge a portfolio of corporate bonds. This would help to reduce the basis risk, as the different futures contracts would be affected by different factors.

Another way to manage basis risk is to use options on futures. Options on futures can be used to create a more customized hedge that is better able to match the characteristics of the underlying position.