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每天都想出坑的铁头娃 · 2021年01月17日

问一道题:NO.PZ2019012201000048 [ CFA III ]

问题如下:

After determining Winthrop’s objectives and constraints, the CAD147 million portfolio’s new strategic policy is to target long-term market returns while being fully invested at all times. Tong recommends quarterly rebalancing, currency hedging, and a composite benchmark composed of equity and fixed-income indexes. Currently the USD is worth CAD1.2930, and this exchange rate is expected to remain stable during the next month. Exhibit 2 presents the strategic asset allocation and benchmark weights.

In one month, Winthrop will receive a performance bonus of USD5,750,000. He believes that the US equity market is likely to increase during this timeframe. To take advantage of Winthrop’s market outlook, he instructs Tong to immediately initiate an equity transaction using the S&P 500 futures contract with a current price of 2,464.29 while respecting the policy weights in Exhibit 2. The S&P 500 futures contract multiplier is 250, and the S&P 500 E-mini multiplier is 50.

In preparation for receipt of the performance bonus, Tong should immediately:

选项:

A.

buy two US E-mini equity futures contracts

B.

sell nine US E-mini equity futures contracts

C.

buy seven US E-mini equity futures contracts

解释:

The amount of the performance bonus that will be received in one month (USD5,750,000) needs to be invested passively based upon the strategic allocation recommended by Tong. Using the strategic allocation of the portfolio, 15% (USD862,500.00) should be allocated to US equity exposure using the S&P 500 E-mini contract, which trades in US dollars. Because the futures price is 2,464.29 and the S&P 500 E-mini multiplier is 50, the contract unit value is USD123,214.50 (2,464.29 × 50).

The correct number of futures contracts is (5,750,000.00 × 0.15)/123,214.50 = 7.00.

Therefore, Tong will buy seven S&P 500 E-mini futures contracts.

老师好,我想问一下这个multiplier的问题。我感觉我做题的时候没有看懂。现在看完答案是不是就是说交易所给了一个美国股指期货的统一价格,这个概念类似于ctd,只不过是要sp500还是要e-mini不一定,要自己去乘。就类似于conversion factor。你要sp 500的future就自觉乘250,你要e-mini就乘50,因为是标准化的合约。是这个意思么?顺便再问一句,如果说要买sp500的future,算完就是5.75m x .15 / future price x 250, 算出来是1。39份,大约就是买一份,是吧
1 个答案
已采纳答案

maggie_品职助教 · 2021年01月18日

嗨,努力学习的PZer你好:


因为Index是用点位进行衡量的,比如现在指数是多少多少点位。但我们目标还是想知道这个期货合约的价值是多少,点位并不代表价格。那乘数其实就代表了一个点位值多少钱,比如一个点位值50元,当指数是2464.29点时,就代表这个index futures的价格是50*2464.29, 如果买了5份index futures,那么总的价值就是5*2464.29*50。为何用50而不是250?因为选项中提示你用s&p 500 e-mini futures contract,有些时候咱们做题如果在题干中找不到信息,也可以反过来看看选项。如果用s&p 500  futures contract,你列的式子是正确的。

这道题涉及很多衍生品的知识(在权益不做要求,因此这种类型的题目基本不会在权益考察),由于今年视频上线顺序调整的原因,有些知识还尚未铺垫,如果还不明白可以等你学完衍生品再来做它。


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


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