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IanZQ · 2023年05月20日

进一步解释下。

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NO.PZ202209060200004002

问题如下:

The most appropriate action given Puhuyesva’s views on interest rates and the information in Exhibit 1 would be to buy:

选项:

A.492 contracts. B.614 contracts. C.552 contracts.

解释:

Solution

B is correct.

The number of futures contracts needed to fully remove the duration gap between the asset and liability portfolios is given by

(BPV liability - BPV asset) / Futures BPV

where BPV is basis point value (of the liability portfolio, asset portfolio, and futures contract, respectively).

In this case, Nf = (299,860243,376) / 102.30 =+552.1, where the plus sign indicates a long position in or buying 552 futures contracts.

Because the value of assets is more than 2% greater than the value of liabilities (217.3/206.8 – 1 = 5.1%) and Puhuyesva believes interest rates will fall, the duration of assets should be greater than the duration of liabilities so that the surplus will rise if interest rates do fall. Therefore, more than 552 contracts should be bought.

A is incorrect because buying 492 contracts would leave the duration of assets lower than the duration of liabilities and the surplus would decrease if interest rates fall.

C is incorrect because buying 552 contracts would fully immunize the surplus and it would neither increase nor decrease if interest rates fall.

Because the value of assets is more than 2% greater than the value of liabilities (217.3/206.8 – 1 = 5.1%) and Puhuyesva believes interest rates will fall, the duration of assets should be greater than the duration of liabilities so that the surplus will rise if interest rates do fall. Therefore, more than 552 contracts should be bought.能不能再进一步解释一下这句话,跟VALUE啥关系,不是直接看BPV就好了么。R下降,按道理VALUE上升,没啥问题啊,为什么要买更多的合约。

3 个答案

pzqa015 · 2023年05月22日

嗨,爱思考的PZer你好:


是的

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

pzqa015 · 2023年05月22日

嗨,从没放弃的小努力你好:


A说的不是很准确,要从BPV的角度考虑,BPV=MD*MV*1BP。从duration角度描述不是很准确,如果是主观题让你来描述,从BPV描述肯定不会错。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

005 · 2023年05月22日

谢谢。还有另一个疑问 本题如果预期R上升,是否Nf应该小于552了?

pzqa015 · 2023年05月21日

嗨,努力学习的PZer你好:


这句话说的不好,你理解的没问题,直接看BPV就行,如果预期R下降,那么可以让asset BPV>liability BPV,如果预期R上升,应该让asset BPV<liability BPV

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

005 · 2023年05月22日

本题关于A选项的解释也使用了duration,请问是否应该都从BPV的角度解释,为什么答案都在强调duration?另如果预期R上升,是否Nf应该小于552了?

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