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🍀 · 2024年07月03日

关于选项C contigent immunization

NO.PZ2023032703000035

问题如下:

Adams and junior portfolio manager Frank Neeson review the fixed-income portfolios of two new defined benefit plan clients, Lawson Doors & Cabinets, Inc., and Wharton Farms. Lawson’s plan has 30 participants, who are mostly experienced craftsmen and machinists, whereas Wharton has over 100 participants in its plan. The average participant age is 15 years younger for the Wharton plan compared with the Lawson plan. In both plans, participants receive a monthly benefit upon retirement based on average final pay and have no option for a lump sum distribution. The two plans’ portfolio characteristics are shown in Exhibit 2.


Adams states to Neeson, “For the Lawson and Wharton plans, we can consider one of three alternative strategies to manage the multiple liabilities associated with these plans. Whenever a plan’s surplus is less than 5%, we favor passive management strategies.”

Which of the following three strategies is least likely appropriate for the plans in Exhibit 2? (2019 mock AM)

选项:

A.

Duration matching

B.

Cash flow matching

C.

Contingent immunization

解释:

B is correct. Cash flow matching is least appropriate for both plans. In both the Lawson and Wharton plans, participants are entitled to receive a monthly benefit. Cash flow matching entails building a dedicated portfolio of zero-coupon or fixed-income bonds to ensure there are sufficient cash inflows to pay the scheduled cash outflows. However, such a strategy is impractical and can lead to large cash flow holdings between payment dates, resulting in reinvestment risk and forgone returns on cash holdings.

C is incorrect. Contingent immunization is an appropriate strategy for both plans. Contingent immunization allows for active bond portfolio management until a minimum threshold in the surplus is reached. The threshold of 5% (of assets greater than liabilities) is exceeded in both plans; the Lawson portfolio has a surplus of 7.7%, and the Wharton portfolio has a surplus of 11.8%.

A is incorrect. Duration management is also appropriate for both the Lawson and Wharton plans. In this case, however, because they enjoy a surplus of assets to liabilities, the contingent immunization strategy is most appropriate. Since the plans are in the process of being advised by Pavonia, Wharton would likely be advised to eliminate the duration gap in similar form to Lawson.

1)关于选项C,需要计算surplus是否≥5%来判断contigent immunization方法是否可以么?contigent immunization指的是当surplus<5%的时候Passive,当surplus≥5%的时候Active,一个动态的选择过程,那么不论是否≥5%,都可以用contigent immunization策略吧?


2)关于surplus的计算

Lawson surplus:(15498000-14389000)/15498000=7.16%

Wharton surplus:(8351000-7470000)/8351000=10.55%

跟答案里面的7.7%和11.8%不同,是哪里算错了么?

2 个答案
已采纳答案

发亮_品职助教 · 2024年07月04日

嗨,从没放弃的小努力你好:


1)关于选项C,需要计算surplus是否≥5%来判断contigent immunization方法是否可以么?


不需要计算surplus。

因为contingent immuniztion是包含2个情况,duration-matching与active的动态选择。


如果算出来的suplus≥5%,那就执行contingent immunization里面的active策略;

如果算出来的suplus<5%,那就执行contingent immunization里面的passive策略


所以算出来的surplus不管是多少,都是contingent immunization策略。这道题的题干说的当surplus低于5%时采用passive策略,根据这个描述,也确实最适合用contingent immunization,因为这种有门槛,且在门槛两边存在动态策略的调整,其实就是contingent immunization的最大特征。


contigent immunization指的是当surplus<5%的时候Passive,当surplus≥5%的时候Active,一个动态的选择过程,那么不论是否≥5%,都可以用contigent immunization策略吧?


是的。contingent immunization由surplus ≥5%,与surplus < 5%两个情况构成。根据surplus的大小,组合的策略在两个情况下动态调整就是contingent immunization的特征


2)关于surplus的计算

Lawson surplus:(15498000-14389000)/15498000=7.16%

Wharton surplus:(8351000-7470000)/8351000=10.55%

跟答案里面的7.7%和11.8%不同,是哪里算错了么?


分母要除以负债的金额,而不是除以资产的金额。因为surplus算的是相对于负债而言,资产有多少超额的金额。

如果算surplus金额就是:asset value - liability value

如果算surplus的超额比例,就是(asset value - liability value)/liability value,意思就是相对于负债而言,surplus的超额比例是多少。

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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!

Xiaochong · 2024年07月15日

Hello, can I understand this way: In general for DB fund, duration matching is more practical than cashflow matching. When there are a few multiperiod liabilities ( unlike DB it's continuous and long term multi period liability), cash flow matching is better/practical than duration matching?

发亮_品职助教 · 2024年07月16日

can I understand this way: In general for DB fund, duration matching is more practical than cashflow matching. 


是的。

Duration-matching就是把负债当成了一个整体,从整体出发用资产去match负债。

而Cash flow matching是一个更加精细的策略,是分析到了每一笔负债的cash flow amount与cash flow发生的日期,将资产的cash flow amount与发生日期,逐笔地与负债cash flow amount与发生日期匹配,这是严丝合缝、非常精细的现金流安排。他不能把负债当成一个整体去匹配,而是对负债里面每一笔现金流都做了精细匹配。


从这个角度讲,DB基本不可能用Cash flow matching,因为DB的现金流太复杂了,cash outflow非常多,且cash outflow具有很大的不确定性,基本不太可能会用资产的现金流去逐笔模拟负债的cash outflow。所以一般碰到这种复杂的负债,基本就是使用duration-matching,or基于Duration-matching的原理,但使用bond+衍生品的组合(derivatives overlay)


When there are a few multiperiod liabilities ( unlike DB it's continuous and long term multi period liability), cash flow matching is better/practical than duration matching?


这个并不一定。只能说如果负债的现金流笔数比较少,那cash flow matching是可行的方法。但此时,duration matching与cash flow matching各有优势。


cash flow matching的优点就是现金流的逐笔match,这种match是严丝合缝的金额与发生日match,不管利率咋变,都不可能改变资产cash flow的金额以及发生日,所以cash flow matching的优势就是没有利率风险(理论上)。利率无论如何改变,资产的cash flow都能cover负债的cash flow。

CFM是非常安全的策略,所以在一些会计准则下,利用cash flow matching去匹配负债,这种做匹配的资产与负债可以同时从资产负债表上去掉(accounting defeasement),这可以优化资产负债表的结构。

但cash flow matching很费钱,因为在逐笔match cash flow,购买的债券会很多,且需要用很安全的债券(如国债)


duration-matching的话,是把负债当成一个整体match,这是一种相对粗糙的处理方法。不一定需要购买很多债券,只需要债券资产的duration满足条件即可,比较省钱。但在一些非平行移动时,有可能会出现免疫失效——资产与负债的mismatch。

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