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猫总 · 2024年02月17日

老师,我总感觉持有的债券的久期是7.8,目标久期是8.4,需要long呢?

NO.PZ2019052801000041

问题如下:

It's June 2nd and a fund manager with USD 10 million invested in government bonds is concerned that interest rates will be highly volatile over the next three months. The manager decides to use the September treasury bond futures contract to hedge the value of the portfolio. The current futures price is USD 95.0625, each contract is for the delivery of USD 100,000 face value of the bonds. The duration of the manager's bond portfolio in three months will be 7.8 years, the cheapest to deliver bonds in the treasury bond futures contract is expected to have a duration of 8.4 years at maturity of the contract. At the maturity of the treasury bond futures contract, the duration of the underlying benchmark treasury bond is 9 years. What position should fund manager undertake to mitigate his interest rate risk exposure?

选项:

A.

Long 95 contracts.

B.

Short 95 contracts.

C.

Long 98 contracts.

D.

Short 98 contracts.

解释:

D is correct.

考点:Duration Based Hedge

解析:

N=($10,000,000×7.8)($100,000×8.4×95.0625%)=98N=-\frac{(\$10,000,000\times7.8)}{(\$100,000\times8.4\times95.0625\%)}=-98

基金经理应该short 98份合约来进行对冲。

老师,我总感觉持有的债券的久期是7.8,目标久期是8.4,需要long呢?

1 个答案

品职答疑小助手雍 · 2024年02月17日

同学你好,目标久期不是8.4,而是0。因为题目说的是预期有大波动,要hedge。

8.4是对冲工具futures contract的久期。

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