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过程 · 2021年04月30日

这道题选A不选C的主要原因就是想省点钱(NP找最小的)是吗?

NO.PZ2018113001000027

问题如下:

A portfolio manager has a $200 million bond portfolio, he wants to reduce the duration from 5 to 4 by using a swap. There are two swaps, a one-year swap with an average modified duration of -0.625,and a two-year swap with an average modified duration of –1.25。

1.Should the manager enter into a payer swap or receiver swap?

2. Which swap the manager would prefer and determine its notional principal.

选项:

A.

Payer swap and NP=160 million

B.

receiver swap and NP=160 million

C.

Payer swap and NP=320 million

解释:

A is correct.

考点:Interest Rate Swap: Adjust the Duration

解析:

现在希望降低duration,所以应该进入一个duration为负数的swap,即payer swap

我们需要判断应该prefer哪个swap?判断的依据是为了达到目标的duration,哪个swap需要名义本金越少,我们就应该更prefer哪个swap。根据公式:

NS=MVP(MDURTMDURPMDURswap)N_S=MV_P{(\frac{MDUR_T-MDUR_P}{MDUR_{swap}})}

Swap的duration越大,需要的NP就越少,因此我们需要选择一个duration绝对值更大的一个swap

第二个swap的duration绝对值更大,因此应该选第二个swap,它的NP计算如下:

NS=MVP(MDURTMDURPMDURswap)=$200,000,000(4.05.01.25)=$160,000,000N_S=MV_P{(\frac{MDUR_T-MDUR_P}{MDUR_{swap}})}=\$200,000,000{(\frac{4.0-5.0}{-1.25})}=\$160,000,000

关于这道题选A不选C的主要原因,请问我是否可以简单理解为,就是想省点钱(NP找最小的)?谢谢讲解。

1 个答案
已采纳答案

Hertz_品职助教 · 2021年05月01日

嗨,从没放弃的小努力你好:


同学你好~

你这种理解是可以的哈。Duration越大,根据公式可知需要的名义本金越少,即进行结算的时候我们需要支付或收到的金额就会变少,流动性变小,并且相应的信用风险也会减少。

另外利率互换我们一般用于锁定融资成本或者降低融资成本,这时候我们的名义本金一般为贷款金额,这里稍微注意一下即可。

(如有疑问 欢迎追问)

----------------------------------------------
就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

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