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坏呼呼嘿嘿 · 2022年10月20日

我理解是有三分之二杠杆投,三分之一是非杠杆投,两部分的成本相加是最终的结果,所以27bp和32bp要按他们所占份额乘以三分之一再加吧。

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.

如上

2 个答案

lynn_品职助教 · 2023年07月11日

嗨,爱思考的PZer你好:


什么叫:“这个信息只用来计算leverage cost,直接加起来就可以,而不是: 27 bps × 33.33% + 143 bps × 0.6667。” 这句话没看懂


我理解是有三分之二杠杆投,三分之一是非杠杆投,两部分的成本相加是最终的结果,所以27bp和32bp要按他们所占份额乘以三分之一再加吧。


哦,因为是回答上一个同学的问题,上一个同学认为要乘以三分之一再加。

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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!

lynn_品职助教 · 2022年10月21日

嗨,努力学习的PZer你好:


这道题是原版书Reading 28 Case Study in Portfolio Management: Institutional的一道课后题。

Recommend the most cost-effective strategy. Justify your response with calculations of the total levered cost of each implementation option.

题目让计算一下考虑杠杆后的成本,推荐一个最省成本的策略。就是在计算cost的时候考虑借钱的成本。

· Investment policy compliant at 3 times leverage

这个信息只用来计算leverage cost,直接加起来就可以,而不是: 27 bps × 33.33% + 143 bps  × 0.6667。

视频在课后题Reading28 Question8~9八分钟(两倍速处),整个知识点角度挺奇特的,同学稍稍看一下就可以了不需要花太多时间。

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加油吧,让我们一起遇见更好的自己!

guoguo · 2023年07月10日

什么叫:“这个信息只用来计算leverage cost,直接加起来就可以,而不是: 27 bps × 33.33% + 143 bps × 0.6667。” 这句话没看懂

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NO.PZ2022051904000006 问题如下 In its quarterly polianperformanreview, the investment tefor the Peralana University enwment intifiea tacticallocation opportunity in internationvelopeequities. The tealso cito implement a passive 1% overweight ($5 million notionvalue) position in the asset class. Implementation will occur either using MISC EAFE Inx ETF in the cash market or the equivalent futures contrain the rivatives market. The tetermineththe unleverecost of implementation is 27 basis points in the cash market (ETF) an32 bps in the rivatives market (futures). This most cost fferentipromptea comparison of costs on a leverebasis to preserve liquity for upcoming capitcommitments in the funs alternative investment asset classes. For the relateanalysis, the team’s assumptions are follows: Investment policompliant 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. Recommenthe most cost-effective strategy. Justify your response with calculations of the totleverecost of eaimplementation option. Solutionthe lower cost alternative, the enwment’s investment teshoulimplement the 1% overweight position using futures.The aitioncost of obtaining leverage for eaoption is follows:ETF: ($5 million × 0.6667 × 2.15%) / $5 million = 1.43% (or 143 bps) anFutures: ($5 million × 0.6667 × 1.80%) / $5 million = 1.20% (or 120 bps),where the inputs are rivefollows:0.6667 reflects the 3 times leverage factor (66.67% borrowean33.33% cash usage), 2.15% reflects the ETF borrowing rate (3-month Libor of 1.80% + 35 bps), an1.80% reflects the absenof investment income offset (3-month Libor) versus the unleverecost of futures implementation.The totleverecost of eaoption is the sum of the unleverecost plus the aitioncost of obtaining leverage:ETF: 27 bps + 143 bps = 170 bps anFutures: 32 bps + 120 bps = 152 bps.This 18 bps cost aantage woulmake futures the appropriate choifor the enwment’s investment team. 为什么这里futures默认有借贷成本?我理解futures没有initicash outflow until settlement, 所以也不存在这个所谓的借贷成本。如果说cash ETF 要花1.67m的本金,futures是可以把这个1.67m去投资赚risk-free rate的,对他来说成本应该只有unleverecost partially offset interest income from investment of 1.67m.

2024-02-01 11:18 1 · 回答

NO.PZ2022051904000006 问题如下 In its quarterly polianperformanreview, the investment tefor the Peralana University enwment intifiea tacticallocation opportunity in internationvelopeequities. The tealso cito implement a passive 1% overweight ($5 million notionvalue) position in the asset class. Implementation will occur either using MISC EAFE Inx ETF in the cash market or the equivalent futures contrain the rivatives market. The tetermineththe unleverecost of implementation is 27 basis points in the cash market (ETF) an32 bps in the rivatives market (futures). This most cost fferentipromptea comparison of costs on a leverebasis to preserve liquity for upcoming capitcommitments in the funs alternative investment asset classes. For the relateanalysis, the team’s assumptions are follows: Investment policompliant 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. Recommenthe most cost-effective strategy. Justify your response with calculations of the totleverecost of eaimplementation option. Solutionthe lower cost alternative, the enwment’s investment teshoulimplement the 1% overweight position using futures.The aitioncost of obtaining leverage for eaoption is follows:ETF: ($5 million × 0.6667 × 2.15%) / $5 million = 1.43% (or 143 bps) anFutures: ($5 million × 0.6667 × 1.80%) / $5 million = 1.20% (or 120 bps),where the inputs are rivefollows:0.6667 reflects the 3 times leverage factor (66.67% borrowean33.33% cash usage), 2.15% reflects the ETF borrowing rate (3-month Libor of 1.80% + 35 bps), an1.80% reflects the absenof investment income offset (3-month Libor) versus the unleverecost of futures implementation.The totleverecost of eaoption is the sum of the unleverecost plus the aitioncost of obtaining leverage:ETF: 27 bps + 143 bps = 170 bps anFutures: 32 bps + 120 bps = 152 bps.This 18 bps cost aantage woulmake futures the appropriate choifor the enwment’s investment team. 这是机构投资者的题??咋完全看不懂

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