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Persey · 2022年12月03日

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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.

想问一下,这个题回答假如没有点出surplus会扣分吗

1 个答案

lynn_品职助教 · 2022年12月04日

嗨,爱思考的PZer你好:


至少要从这个角度去回答,做为对选择allocation3的解释,hedging/return-seeking 首先要考虑的是hedging portfolio,只有liabilities全部覆盖了,多出来的部分才能进行return-seeking。如果没提到surplus,但是有明确的Cover liability的部门怎么怎么样,剩余部分怎么样也是可以的,但是surplus的描述比较节省时间。

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