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Karsten · 2022年08月04日

借款成本

  1. CFA III
  2. 机构IPS

NO.PZ2022051904000006

问题如下：

In its quarterly policy and performance review, the investment team for the Peralandra University endowment identified a tactical allocation opportunity in international developed equities. The team also decided to implement a passive 1% overweight ($5 million notional value) position in the asset class. Implementation will occur by either using an MISC EAFE Index ETF in the cash market or the equivalent futures contract in the derivatives market.

The team determined that the unlevered cost of implementation is 27 basis points in the cash market (ETF) and 32 bps in the derivatives market (futures). This modest cost differential prompted a comparison of costs on a levered basis to preserve liquidity for upcoming capital commitments in the fund’s alternative investment asset classes. For the related analysis, the team’s assumptions are as follows:

  • Investment policy compliant at 3 times leverage
  • Investment horizon of one year
  • 3-month Libor of 1.8%
  • ETF borrowing cost of 3-month Libor plus 35 bps
Q. Recommend the most cost-effective strategy. Justify your response with calculations of the total levered cost of each implementation option.

选项：

解释：

Solution

As the lower cost alternative, the endowment’s investment team should implement the 1% overweight position using futures.

The additional cost of obtaining leverage for each option is as follows:ETF: ($5 million × 0.6667 × 2.15%) / $5 million = 1.43% (or 143 bps) and Futures: ($5 million × 0.6667 × 1.80%) / $5 million = 1.20% (or 120 bps),

where the inputs are derived as follows:0.6667 reflects the 3 times leverage factor (66.67% borrowed and 33.33% cash usage), 2.15% reflects the ETF borrowing rate (3-month Libor of 1.80% + 35 bps), and 1.80% reflects the absence of investment income offset (at 3-month Libor) versus the unlevered cost of futures implementation.

The total levered cost of each option is the sum of the unlevered cost plus the additional cost of obtaining leverage:ETF: 27 bps + 143 bps = 170 bps and Futures: 32 bps + 120 bps = 152 bps.

This 18 bps cost advantage would make futures the appropriate choice for the endowment’s investment team.

为啥futures 用的借款成本是LIBOR，比ETF的借款成本低？

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1 个答案

lynn_品职助教 · 2022年08月04日

嗨，努力学习的PZer你好：


这道题没有让我们判断，在题干中提供了这个团队对不同资产假设的信息啊。

至于原因，一个是目前市场中仍然是LIBOR为主导，因为与LIBOR挂钩的futures、swaps 是比较常见的，其次也就是最重要的看题干的假设，实务中也是这样的哈。

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