小于0 Payer fixed party duration，对吗

NO.PZ2018113001000027 问题如下 A portfolio manager ha $200 million bonportfolio, he wants to rethe ration from 5 to 4 using a swap. There are two swaps, a one-yeswwith average mofieration of -0.625，ana two-yeswwith average mofieration of –1.25。 1.Shoulthe manager enter into a payer swor receiver swap? 2. Whiswthe manager woulprefer antermine its notionprincipal. Payer swanNP=160 million receiver swanNP=160 million Payer swanNP=320 million A is correct.考点Interest Rate Swap: Aust the ration解析现在希望降低ration，所以应该进入一个ration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ration，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(MRT−MRPMRswap)N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}NS​=MVP​(MRswap​MRT​−MRP​​)Swap的ration越大，需要的NP就越少，因此我们需要选择一个ration绝对值更大的一个swap第二个swap的ration绝对值更大，因此应该选第二个swap，它的NP计算如下NS=MVP(MRT−MRPMRswap)=$200,000,000(4.0−5.0−1.25)=$160,000,000N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}=\$200,000,000{(\frac{4.0-5.0}{-1.25})}=\$160,000,000NS​=MVP​(MRswap​MRT​−MRP​​)=$200,000,000(−1.254.0−5.0​)=$160,000,000 “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ration，哪个swap需要名义本金越少，我们就应该更prefer哪个swap。”

NO.PZ2018113001000027 问题如下 A portfolio manager ha $200 million bonportfolio, he wants to rethe ration from 5 to 4 using a swap. There are two swaps, a one-yeswwith average mofieration of -0.625，ana two-yeswwith average mofieration of –1.25。 1.Shoulthe manager enter into a payer swor receiver swap? 2. Whiswthe manager woulprefer antermine its notionprincipal. Payer swanNP=160 million receiver swanNP=160 million Payer swanNP=320 million A is correct.考点Interest Rate Swap: Aust the ration解析现在希望降低ration，所以应该进入一个ration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ration，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(MRT−MRPMRswap)N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}NS​=MVP​(MRswap​MRT​−MRP​​)Swap的ration越大，需要的NP就越少，因此我们需要选择一个ration绝对值更大的一个swap第二个swap的ration绝对值更大，因此应该选第二个swap，它的NP计算如下NS=MVP(MRT−MRPMRswap)=$200,000,000(4.0−5.0−1.25)=$160,000,000N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}=\$200,000,000{(\frac{4.0-5.0}{-1.25})}=\$160,000,000NS​=MVP​(MRswap​MRT​−MRP​​)=$200,000,000(−1.254.0−5.0​)=$160,000,000 为什么是payer sw在没有提到利率是上升还是下降的情况下、

NO.PZ2018113001000027问题如下 A portfolio manager ha $200 million bonportfolio, he wants to rethe ration from 5 to 4 using a swap. There are two swaps, a one-yeswwith average mofieration of -0.625，ana two-yeswwith average mofieration of –1.25。 1.Shoulthe manager enter into a payer swor receiver swap? 2. Whiswthe manager woulprefer antermine its notionprincipal. Payer swanNP=160 million receiver swanNP=160 million Payer swanNP=320 million A is correct.考点Interest Rate Swap: Aust the ration解析现在希望降低ration，所以应该进入一个ration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ration，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(MRT−MRPMRswap)N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}NS​=MVP​(MRswap​MRT​−MRP​​)Swap的ration越大，需要的NP就越少，因此我们需要选择一个ration绝对值更大的一个swap第二个swap的ration绝对值更大，因此应该选第二个swap，它的NP计算如下NS=MVP(MRT−MRPMRswap)=$200,000,000(4.0−5.0−1.25)=$160,000,000N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}=\$200,000,000{(\frac{4.0-5.0}{-1.25})}=\$160,000,000NS​=MVP​(MRswap​MRT​−MRP​​)=$200,000,000(−1.254.0−5.0​)=$160,000,000 Swap（receive fixe的 ration默认是正数吗？如果M负，代表是payer swap？会不会有receiver swap的M是负数呢？

NO.PZ2018113001000027 问题如下 A portfolio manager ha $200 million bonportfolio, he wants to rethe ration from 5 to 4 using a swap. There are two swaps, a one-yeswwith average mofieration of -0.625，ana two-yeswwith average mofieration of –1.25。 1.Shoulthe manager enter into a payer swor receiver swap? 2. Whiswthe manager woulprefer antermine its notionprincipal. Payer swanNP=160 million receiver swanNP=160 million Payer swanNP=320 million A is correct.考点Interest Rate Swap: Aust the ration解析现在希望降低ration，所以应该进入一个ration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ration，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(MRT−MRPMRswap)N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}NS​=MVP​(MRswap​MRT​−MRP​​)Swap的ration越大，需要的NP就越少，因此我们需要选择一个ration绝对值更大的一个swap第二个swap的ration绝对值更大，因此应该选第二个swap，它的NP计算如下NS=MVP(MRT−MRPMRswap)=$200,000,000(4.0−5.0−1.25)=$160,000,000N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}=\$200,000,000{(\frac{4.0-5.0}{-1.25})}=\$160,000,000NS​=MVP​(MRswap​MRT​−MRP​​)=$200,000,000(−1.254.0−5.0​)=$160,000,000 基础班讲义好像没有提到这一点吧

NO.PZ2018113001000027 问题如下 A portfolio manager ha $200 million bonportfolio, he wants to rethe ration from 5 to 4 using a swap. There are two swaps, a one-yeswwith average mofieration of -0.625，ana two-yeswwith average mofieration of –1.25。 1.Shoulthe manager enter into a payer swor receiver swap? 2. Whiswthe manager woulprefer antermine its notionprincipal. Payer swanNP=160 million receiver swanNP=160 million Payer swanNP=320 million A is correct.考点Interest Rate Swap: Aust the ration解析现在希望降低ration，所以应该进入一个ration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ration，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(MRT−MRPMRswap)N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}NS​=MVP​(MRswap​MRT​−MRP​​)Swap的ration越大，需要的NP就越少，因此我们需要选择一个ration绝对值更大的一个swap第二个swap的ration绝对值更大，因此应该选第二个swap，它的NP计算如下NS=MVP(MRT−MRPMRswap)=$200,000,000(4.0−5.0−1.25)=$160,000,000N_S=MV_P{(\frac{MR_T-MR_P}{MR_{swap}})}=\$200,000,000{(\frac{4.0-5.0}{-1.25})}=\$160,000,000NS​=MVP​(MRswap​MRT​−MRP​​)=$200,000,000(−1.254.0−5.0​)=$160,000,000 其实是pfixe部分，ration大的，notional小，这样payer的负carry更小一些另外这个似乎在知识点中没有出现过？