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玛卡巴卡 · 2021年09月17日

MRR

NO.PZ2017121101000012

问题如下:

A $30 million investment account of a bank trust fund is allocated one- third to stocks and two-thirds to bonds. The portfolio manager wants to change the overall allocation to 50% stock and 50% bonds and the allocation within the stock fund from 70% domestic stock and 30% foreign stock to 60% domestic and 40% foreign. The bond allocation will remain entirely invested in domestic corporate issues.

Explain how swaps can be used to implement this adjustment. The market reference rate is assumed to be flat for all swaps, and you do not need to refer to specific stock and bond indexes.

选项:

解释:

Currently the allocation is $10 million in stocks and $20 million in bonds. Within the stock category, the current allocation is $7 million domestic and $3 million foreign. The desired allocation is $15 million in stocks and $15 million in bonds. Thus, the allocation must change by moving $5 million into stocks and out of bonds. The desired stock allocation is $9 million domestic and $6 million foreign. The desired bond allocation is $15 million, all domestic corporate.

To make the changes with swaps, the manager must enter into swaps against the market reference rate, which is assumed to be flat for all swaps in this example. Using the swaps, the bank trust fund portfolio manager needs to (1) receive the returns on $2 million based on a domestic equity index and on $3 million based on a foreign equity index and (2) pay the return on $5 million based on a domestic corporate bond index. The market reference rate outflows from the swaps in (1) and the inflows from the swap in (2) will cancel out through summation.

请问下MRR是什么,为什么三个SWAP的MRR部分可以抵消呢?,强化班讲义中有提到么?

1 个答案

Hertz_品职助教 · 2021年09月18日

嗨,从没放弃的小努力你好:


同学你好~

这种用swap进行资产重新配置的题目,一定记得画出每个互换的图来分析哈,这样容易出错而且更加清晰。

1.     MRR,market reference rate,是一个市场利率。这里是题目给到的条件或者说是暗示,看题干“The market reference rate is assumed to be flat for all swaps, and you do not need to refer to specific stock and bond indexes.” 这里提示我们每一笔swap都是和MRR来做的,或者有的题目会说pay MRR minus the agreed-on spread, 至于这个MRR减一个约定好的spread,就像我们支付的一个libor – 2%差不多意思,反正这一端整体都会被约掉,不用纠结的哈

2.     为了方便表述我们把你列出的三笔互换标号1,2,3

(1)付 5m bond return,收MRR

(2)收 2m domestic stock return,付 MRR

(3)收 3m foreign stock return, 付MRR

则互换2和3的支付MRR端要加起来作为整体,与互换1中的收MRR端相互抵消。

因为MRR是基于本金进行互换的,2和3两笔加起来的本金是5million,与1的本金5million相同而抵消。比方说MRR=Libor+2% (Libor=3%) ,则MRR=5%。所以互换1号,基于MRR收到的是5million*5%,互换2号和3号付出的分别是2million*5%+3million* 5%=5million*5%。

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努力的时光都是限量版,加油!

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