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Jwang · 2024年05月12日

surplus optimization需要linear correlation,

NO.PZ2022122801000041

问题如下:

PZ is the sponsor of a $1.25 billion legacy DB plan, which is now frozen. The funded ratio is 0.8. The plan sponsor, receives three asset allocation approaches recommendations:

a surplus optimization approach.

an integrated asset–liability approach.

a hedging/return-seeking portfolios approach.

When evaluate asset allocation choices, consider the plan sponsor’s costs.

Determine which asset allocation approach would be most appropriate for the pension fund. Justify your response.

选项:

解释:

Surplus optimization approach is the most appropriate.

Surplus optimization does not require an overfunded status, while implementation of the basic two-portfolio approach depends on having an overfunded plan.

Integrating the liability portfolio with the asset portfolio, is the most comprehensive of the three approaches, but increased complexity.

可以model transaction costs进去吗?题目不是说了需要考虑costs,其中不包含transaction costs吗?

1 个答案

Lucky_品职助教 · 2024年05月13日

嗨,爱思考的PZer你好:


同学你好:


这道题中提到的cost,并不是指 transaction costs,而是这三种approach的复杂程度,也就是操作起来所耗费的成本。


Integrated ALM是最综合、复杂的方法,综合考虑到了AA的各种情况,是动态调整的,资产和负债端联动,通常会用多期的模型“These approaches are often implemented in the context of multi-period models.”。这道题中没有提到复杂和多期,这个方法成本肯定最大,是不适合的。换言之题目中如果提到复杂和多期,而且不在意成本的话,就可以选Integrated ALM。


这里需要将hedge/return seeking和Surplus optimization做一个区分,总的来说Surplus optimization中是将A-L得到的surplus看做一个整体,本质上是对组合的surplus进行最优化求解,求的是surplus的效用最大化。如果underfunded,surplus为负,这个方法的目的就是缩小负值。

 

而hedge/return seeking则是将一块蛋糕切成两块,变成hedging portfolio(A=L)和return-seeking portfolio(A>L),hedging部分用于cover liability,return-seeking部分追求收益。overfunded是hedge/return seeking的必要条件,同时也是这个方法的缺点。

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