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蕾 · 2024年01月18日

请解释指数权重限制

NO.PZ2019012201000036

问题如下:

TMT has $250 million in assets under management. ABC.CO has a market capitalization of $3.0 billion, an index weight of 0.20%, and an average daily trading volume (ADV) of 1% of its market capitalization. TMT considers investing in ABC and has the following position size policy constraints:

Allocation: No investment in any security may represent more than 3% of total AUM.

Liquidity: No position size may represent more than 10% of the dollar value of the security’s ADV.

Index weight: The maximum position weight must be less than or equal to 10 times the security’s weight in the index.

Which of the following position size policy constraints is the most restrictive in setting TMT’s maximum position size in shares of ABC?

选项:

A.

Liquidity

B.

Allocation

C.

Index weight

解释:

A is correct.

考点:Implicit Cost-related Considerations

解析: 根据三种限制要求,最大持仓规模分别计算如下:

ABC公司每日交易价值=ABC的市值×每日的交易量=$3 billion × 1.0% = $30 million

流动性限制= ABC公司每日交易价值×流动性限制=$30 million × 10% = $3 million

配置限制=管理的资产规模×最大头寸限制=$250 million × 3.0% = $7.5 million

指数权重限制=管理的资产规模×(指数权重×10)=$250 million × (0.20% × 10) = $5.0 million

由于流动性限制计算出来的最大持仓规模金额最小,因此它是最严格限制政策。

请解释

1 个答案

笛子_品职助教 · 2024年01月19日

嗨,努力学习的PZer你好:


请解释指数权重限制

Hello,亲爱的同学~

老师解释一下指数权重限制的含义。


指数权重限制,是本题的已知条件,要根据具体的题目来列式。

这道题,实际上是一道,把英文描述,转换为数学公式的题目。

这类题目,知识点的含量并不高,本质上是阅读理解。


我们看本题的描述:

Index weight: The maximum position weight must be less than or equal to 10 times the security’s weight in the index.

翻译成中文:portfolio里某只股票的权重,小于等于,这只股票在index里权重的10倍。


再根据描述写出数学公式:

portfolio里某只股票的权重 = 指数权重*10 = 0.20%*10=2%

由于portfolio的AUM是250M,因此portfolio某只股票的最大金额= 250M*2% = 5M。



----------------------------------------------
虽然现在很辛苦,但努力过的感觉真的很好,加油!

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