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Answer: Enter into a 10-year pay fixed and receive floating interest rate swap.
A **pay-fixed, receive-floating interest rate swap** is the appropriate hedge. ### Why - The portfolio manager is **long 10-year Treasury Notes**, so the position has **positive duration** and will generally **lose value when interest rates rise**. - A **pay-fixed swap** has **negative duration** from the payer’s perspective, meaning it tends to **gain value when rates rise**. - Therefore, it offsets the bond position’s exposure to rising rates. ### Why the others are wrong - **B** receive-fixed/pay-floating: this is a **long duration** position and would make the exposure to rising rates worse. - **C** long Treasury Note futures: a **long futures** position benefits from rising bond prices, which is the opposite of what is needed. - **D** buy a call on Treasury Note futures: a call would benefit from rising futures prices, again not the desired hedge. ### Key takeaway To hedge a **long fixed-income position** against **rising rates**, you generally want a position with **negative duration**, such as a **pay-fixed swap** or a suitable short futures hedge.
Author: Manit Arora
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Q-1. GARP 2010.P1.12. The yield curve is upward sloping, and a portfolio manager has a long position in 10-year Treasury Notes funded through overnight repurchase agreements. The risk manager is concerned with the risk that market rates may increase further and reduce the market value of the position. What hedge could be put on to reduce the position’s exposure to rising rates?
A
Enter into a 10-year pay fixed and receive floating interest rate swap.
B
Enter into a 10-year receive fixed and pay floating interest rate swap.
C
Establish a long position in 10-year Treasury Note futures.
D
Buy a call option on 10-year Treasury Note futures.
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