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Mia Li · 2025年01月14日

老师请问

NO.PZ2018031301000005

问题如下:

Viktoria Johansson is newly appointed as manager of ABC Corporation’s pension fund. The current market value of the fund’s assets is $10 billion, and the present value of the fund’s liabilities is $8.5 billion. The fund has historically been managed using an asset-only approach, but Johansson recommends to ABC’s board of directors that they adopt a liability-relative approach, specifically the hedging/return-seeking portfolios approach. Johansson assumes that the returns of the fund’s liabilities are driven by changes in the returns of index-linked government bonds. Exhibit 1 presents three potential asset allocation choices for the fund.

Exhibit 1 Potential Asset Allocations Choices for ABC Corp’s Pension Fund


Determine which asset allocation in Exhibit 1 would be most appropriate for Johansson given her recommendation. Justify your response.

解释:

■ Allocation 3 is most appropriate.
■ To fully hedge the fund’s liabilities, 85% ($8.5 billion/$10.0 billion) of the fund’s assets would be linked to index-linked government bonds.
■ Residual $1.5 billion surplus would be invested into a return-seeking portfolio.

The pension fund currently has a surplus of $1.5 billion ($10.0 billion – $8.5 billion). To adopt a hedging/return-seeking portfolios approach, Johansson would first hedge the liabilities by allocating an amount equal to the present value of the fund’s liabilities, $8.5 billion, to a hedging portfolio. The hedging portfolio must include assets whose returns are driven by the same factors that drive the returns of the liabilities, which in this case are the index-linked government bonds.

So, Johansson should allocate 85% ($8.5 billion/$10.0 billion) of the fund’s assets to index-linked government bonds. Te residual $1.5 billion surplus would then be invested into a return-seeking portfolio. Therefore, Allocation 3 would be the most appropriate asset allocation for the fund because it allocates 85% of the fund’s assets to index-linked government bonds and the remainder to a return seeking portfolio consisting of corporate bonds and equities.

Given Johansson recommended ABC’s board to adopt the two portfolio approach, the assets needs to cover for the liabilities. The fund’s assets is $10 billion and liabilities is $8.5 billion and are driven by the changes in the returns of index-linked government bonds. The allocation 3 is the most appropriate for Johansson. The rest allocation composing by 5% corporate bonds and 10% equities are return seeking part. 我的回答中没有明确写明assets whose returns are driven by the same factor that drive the returns of the liabilities.请问是不是会在考试中扣分?

1 个答案

Lucky_品职助教 · 2025年01月14日

嗨,爱思考的PZer你好:


同学你好:


这句话没有写,会在一定程度上影响答案的完整性和准确性。

在阐述采用hedging/return seeking投资组合方法时,明确指出资产回报由与负债回报相同驱动因素决定是关键要点之一。它从原理上解释了为何选择与负债回报相关的指数挂钩政府债券进行套期保值,使整个资产配置策略的逻辑链条更为完整。虽然可能从最终配置比例的结果上能大致理解选择 Allocation 3 的合理性,但对于背后深层次的原因阐述不够充分,不能完整地呈现采用该资产配置方案的全部考量因素。

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