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Christinafx · 2024年01月28日

问个关于CFY的问题

NO.PZ2023032703000032

问题如下:

Serena Soto is a risk management specialist with Liability Protection Advisors. Trey Hudgens, CFO of Kiest Manufacturing, enlists Soto’s help with three projects.

The second project for Soto is to help Hudgens immunize a $20 million portfolio of liabilities. The liabilities range from 3.00 years to 8.50 years with a Macaulay duration of 5.34 years, cash flow yield of 3.25%, portfolio convexity of 33.05, and basis point value (BPV) of $10,505. Soto suggested employing a duration-matching strategy using one of the three AAA rated bond portfolios presented in Exhibit 2.


Which portfolio in Exhibit 2 fails to meet the requirements to achieve immunization for multiple liabilities?

选项:

A.

Portfolio A

B.

Portfolio B

C.

Portfolio C

解释:

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.

我知道这道题不用Cash Flow Yield来判断,不过我联想到关于它的问题希望老师解答一下,这道题Liability的CFY是3.25%, 而A的CFY是3.16%,A产生的CFY不及liability,所以也可以从侧面印证在初始value差不多的情况下,它产生的IRR满足不了liability的需求?

2 个答案
已采纳答案

pzqa015 · 2024年01月28日

嗨,从没放弃的小努力你好:


CFY就是IRR,也就是折现率。

根据PV(1+IRR)^n=FV

如果资产端的IRR小,那么在与负债PV差不多的情况下,产生的FV也就小,也就是满足不了liability的需求。

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就算太阳没有迎着我们而来,我们正在朝着它而去,加油!

Christinafx · 2024年01月28日

明白,谢谢老师

pzqa015 · 2024年01月29日

嗨,爱思考的PZer你好:


加油

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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