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Interest rate risk is the risk that changes in interest rates will affect the value of financial instruments such as bonds. When interest rates rise, the price of bonds typically falls, leading to potential losses for investors. This is because the fixed interest payments of bonds become less attractive compared to new bonds issued at higher rates.
For bond portfolio managers, understanding and managing interest rate risk is crucial. They use tools like duration, which measures how sensitive a bond's price is to interest rate changes. A longer duration means more sensitivity to interest rate fluctuations, whereas a shorter duration indicates less sensitivity.
To shield a bond portfolio from adverse interest rate movements, managers often employ strategies to "immunize" or "hedge" against these risks, ensuring that potential losses from rate changes are minimized.

Portfolio duration is a weighted average of the durations of the individual bonds within a portfolio. It reflects the overall sensitivity of the portfolio's value to changes in interest rates. The longer the portfolio duration, the more sensitive it is to interest rate changes.
The formula used to calculate portfolio duration takes into account the duration of each bond and the proportion of the total value they represent. In the given exercise, the portfolio duration is 7.1 years, meaning if interest rates increase by 1%, the portfolio's value would drop by approximately 7.1%.
This concept is essential because it allows managers to predict how changes in interest rates will affect the portfolio, helping them make informed decisions about hedging strategies to manage interest rate risk.

Futures contracts are standardized agreements to buy or sell an asset, like Treasury bonds, at a predetermined price on a specified future date. These contracts are used by investors to hedge against risks, including interest rate risk. In bond portfolio management, futures contracts play a critical role in protecting the portfolio's value from rate changes.
In our example, the manager uses December Treasury bond futures to hedge the portfolio. The futures price is converted from the quoted fraction to a decimal to calculate the number of contracts needed for effective hedging. This conversion ensures that the portfolio’s interest rate exposure is appropriately matched with the futures contracts.
Futures provide a way to lock in prices and offset potential losses from adverse market movements, thus stabilizing the portfolio's value over time.

Hedging strategies are techniques used by investors to reduce or eliminate the risk of adverse price movements in assets. In bond portfolio management, hedging against interest rate changes is a common strategy to protect investments.
One effective hedging strategy is to use duration matching, where the portfolio's duration is matched with that of the hedging instrument, such as futures contracts. This involves calculating the number of futures contracts needed to balance the interest rate exposure of the bond portfolio.
The goal is to ensure that any loss in the bond portfolio due to rising interest rates is offset by gains in the futures positions. By carefully selecting and executing these strategies, portfolio managers can maintain the value and performance of the portfolio even when interest rates fluctuate.