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程卤蛋蛋 · 2025年01月12日

为什么C的convex这么大还不选?

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.

老师,有一些混淆structural risk和immunization risk了,这两个是什么关系呢?

是不是,如果不满足BPV和convex的基本条件,就是有immunization risk,如果满足了基本条件,但是CONVEX过于大,就有structural risk

1 个答案
已采纳答案

发亮_品职助教 · 2025年01月13日

资产BPV=负债BPV,以及资产convexity > 负债convexity,是多期负债匹配的硬条件。只要满足就说明是已经实现了duration-matching。

也就说是说,这道题里面,portfolio B和portfolio C都是满足duration-matching的。


然后在这个基础上,资产的convexity过大,则structural risk越大。所以portfolio B和Portfolio C相比,portfolio B是更优的,portfolio C的structural risk是更大的。


immunization risk就是资产与负债不匹配的风险。包含利率曲线平行移动与非平行移动带来的不匹配风险。所以只要不满足免疫的基本条件,就说是存在immunization risk。


strucutral risk就只是利率曲线非平行移动时,资产与负债的不匹配风险。所以可以理解structural risk是immunization risk的一部分。


是不是,如果不满足BPV和convex的基本条件,就是有immunization risk,如果满足了基本条件,但是CONVEX过于大,就有structural risk


是的。不满足BPV和convexity的基本条件,免疫都是失效了,所以肯定存在immunization risk。

如果满足了asset BPV = liability BPV, 且asset convexity > liability convexity,首先组合是可以做匹配的,符合duration-matching。但是如果在此基础上convexity过大,则就存在structrual risk。

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