开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

sincex · 2023年04月29日

为什么asset convexity要大于liability convexity才能免疫成功呢?

NO.PZ2018120301000015

问题如下:

Thesecond project for Serena is to help Trey immunize a $20 million portfolioof liabilities. The liabilities range from 3.00 years to 8.50 years with aMacaulay duration of 5.34 years, cash flow yield of 3.25%, portfolio convexityof 33.05, and basis point value (BPV) of $10,505. Serena suggested employing aduration-matching strategy using one of the three AAA rated bond portfoliospresented in Exhibit 2.


Whichportfolio in Exhibit 2 fails to meet the requirements to achieveimmunization for multiple liabilities?

选项:

A.

Portfolio A

B.

Portfolio B

C.

Portfolio C

解释:

Correct Answer: A

A is correct. The two requirements to achieve immunization for multiple liabilities are for the money duration (or BPV) of the asset and liability to match and for the asset convexity to exceed the convexity of the liability. Although all three portfolios have similar BPVs, Portfolio A is the only portfolio to have a lower convexity than that of the liability portfolio (31.98, versus 33.05 for the $20 million liability portfolio), and thus, it fails to meet one of the two requirements needed for immunization.

如题,为什么asset 凸度要大于负债凸度才可以呢?

1 个答案
已采纳答案

pzqa31 · 2023年04月29日

嗨,努力学习的PZer你好:


convexity可以代表现金流的离散程度,convexity越大,则现金流越离散。

如果资产的convexity大于负债的convexity,说明资产现金流比负债更离散,或者可以理解为资产的现金流可以包住负债的现金流。

比如负债有3、5年期,资产有1、3、5、7年期,那么这样的资产现金流是比负债现金流离散的,可以包住负债现金流。

这样做是为了避免最后一期负债没有对应的资产现金流可以cover,如果资产现金流比负债更分散,那么负债的最后一笔现金流,肯定可以通过资产的coupon或者sale price来覆盖的,这样免疫策略才会成功。

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

  • 1

    回答
  • 0

    关注
  • 387

    浏览
相关问题

NO.PZ2018120301000015 问题如下 Theseconprojefor Serena is to help Trey immunize a $20 million portfolioof liabilities. The liabilities range from 3.00 years to 8.50 years with aMacaulration of 5.34 years, cash flow yielof 3.25%, portfolio convexityof 33.05, anbasis point value (BPV) of $10,505. Serena suggesteemploying aration-matching strategy using one of the three Aratebonportfoliospresentein Exhibit 2.Whichportfolio in Exhibit 2 fails to meet the requirements to achieveimmunization for multiple liabilities? Portfolio Portfolio Portfolio CorreAnswer: is correct. The two requirements to achieve immunization for multiple liabilities are for the money ration (or BPV) of the asset anliability to matanfor the asset convexity to exceethe convexity of the liability. Although all three portfolios have similBPVs, Portfolio A is the only portfolio to have a lower convexity ththof the liability portfolio (31.98, versus 33.05 for the $20 million liability portfolio), anthus, it fails to meet one of the two requirements neefor immunization. A答案

2024-01-08 21:31 1 · 回答

NO.PZ2018120301000015问题如下 Theseconprojefor Serena is to help Trey immunize a $20 million portfolioof liabilities. The liabilities range from 3.00 years to 8.50 years with aMacaulration of 5.34 years, cash flow yielof 3.25%, portfolio convexityof 33.05, anbasis point value (BPV) of $10,505. Serena suggesteemploying aration-matching strategy using one of the three Aratebonportfoliospresentein Exhibit 2.Whichportfolio in Exhibit 2 fails to meet the requirements to achieveimmunization for multiple liabilities? Portfolio Portfolio Portfolio CorreAnswer: is correct. The two requirements to achieve immunization for multiple liabilities are for the money ration (or BPV) of the asset anliability to matanfor the asset convexity to exceethe convexity of the liability. Although all three portfolios have similBPVs, Portfolio A is the only portfolio to have a lower convexity ththof the liability portfolio (31.98, versus 33.05 for the $20 million liability portfolio), anthus, it fails to meet one of the two requirements neefor immunization. 如果不考虑其他因素,仅仅看cash flow yiel哪个asset portfolio的cash flow yiel以满足liability portfolio的cash flow yiel 是大于还是小于好?

2023-07-15 19:21 2 · 回答

NO.PZ2018120301000015问题如下 Theseconprojefor Serena is to help Trey immunize a $20 million portfolioof liabilities. The liabilities range from 3.00 years to 8.50 years with aMacaulration of 5.34 years, cash flow yielof 3.25%, portfolio convexityof 33.05, anbasis point value (BPV) of $10,505. Serena suggesteemploying aration-matching strategy using one of the three Aratebonportfoliospresentein Exhibit 2.Whichportfolio in Exhibit 2 fails to meet the requirements to achieveimmunization for multiple liabilities? Portfolio Portfolio Portfolio CorreAnswer: is correct. The two requirements to achieve immunization for multiple liabilities are for the money ration (or BPV) of the asset anliability to matanfor the asset convexity to exceethe convexity of the liability. Although all three portfolios have similBPVs, Portfolio A is the only portfolio to have a lower convexity ththof the liability portfolio (31.98, versus 33.05 for the $20 million liability portfolio), anthus, it fails to meet one of the two requirements neefor immunization. 请问答案是不是有问题,asset的convexity应该包含liability的convexity,答案应该选B

2023-06-08 21:41 1 · 回答

NO.PZ2018120301000015 问题如下 Theseconprojefor Serena is to help Trey immunize a $20 million portfolioof liabilities. The liabilities range from 3.00 years to 8.50 years with aMacaulration of 5.34 years, cash flow yielof 3.25%, portfolio convexityof 33.05, anbasis point value (BPV) of $10,505. Serena suggesteemploying aration-matching strategy using one of the three Aratebonportfoliospresentein Exhibit 2.Whichportfolio in Exhibit 2 fails to meet the requirements to achieveimmunization for multiple liabilities? Portfolio Portfolio Portfolio CorreAnswer: is correct. The two requirements to achieve immunization for multiple liabilities are for the money ration (or BPV) of the asset anliability to matanfor the asset convexity to exceethe convexity of the liability. Although all three portfolios have similBPVs, Portfolio A is the only portfolio to have a lower convexity ththof the liability portfolio (31.98, versus 33.05 for the $20 million liability portfolio), anthus, it fails to meet one of the two requirements neefor immunization. 這裡少了一個資產要大於負債的條件嗎? 要不然三個應該都不能匹配吧

2023-02-23 12:13 1 · 回答