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大吉0511 · 2023年06月30日

The three-month contract has a par value of USD100,000 and a basis point value of USD102.30 per contract

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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.

 The three-month contract has a par value of USD100,000 and a basis point value of USD102.30 per contract


l老师请讲下这段的含义,以及可能出现的换算问题,谢谢!

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pzqa31 · 2023年07月01日

嗨,爱思考的PZer你好:


The three-month contract has a par value of USD100,000

这里用的是美国国债Futures,标准化的一份Futures合约的Par value=100,000,在这类题目中暂时用不到。


a basis point value of USD102.30 per contract

就是futures BPV=102.30

----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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