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Menelaus · 2023年02月07日

请问这道题常规吗?如果考试考到计算contracts数量的题目也要考虑这个因素吗?

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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

Nf = (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.

请问这道题的考法常规吗?如果考试考到计算contracts数量的题目也要考虑这个因素吗?

感觉做类似题都要被干扰了。

2 个答案
已采纳答案

pzqa015 · 2023年02月07日

嗨,努力学习的PZer你好:


这道题是最标准的考法。是必须要掌握的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

Menelaus · 2023年02月08日

就是当资产>102%的负债时,利率上下调对资产的影响更大吗。那对于资产影响小于负债的情况,是看资产<98%的负债吗?谢谢

pzqa015 · 2023年02月08日

嗨,爱思考的PZer你好:


不是的

如果预期利率下降,应该让BPV of asset+BPV of futures>BPV of liability,同时,根据期初的BPV of asset与BPV of liability,来确定futures份数。

比如,期初BPV of asset>BPV of liability,正常时short X 份futures能达到BPV of asset+BPV of futures=BPV of liability,那么应该short小于X份的futures;期初BPV of asset<BPV of liability,正常应该long X 份futures能达到BPV of asset+BPV of futures=BPV of liability,那么 应该long多于X份的futures。

如果预期利率上涨也是同理。

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加油吧,让我们一起遇见更好的自己!

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