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Arnie · 2022年09月28日

基金经理拿到奖金投资跟这道题目有啥关系?

NO.PZ2019012201000048

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.

基金经理拿到奖金,和题目中的投资组合构成有啥关系呢?

Yiyun · 2023年03月22日

第一次做题时读了3遍题目,同样的疑问+1 根据各方解析发现这个题目关键在于“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. ”题目给这两句话的意思

Yiyun · 2023年03月22日

另一个很难注意到的点在于“ a performance bonus of USD5,750,000.”按照“while respecting the policy weights in Exhibit 2”,也就是说奖金只有15%可以拿出来使用

1 个答案
已采纳答案

笛子_品职助教 · 2022年09月29日

嗨,从没放弃的小努力你好:


基金经理拿到奖金,和题目中的投资组合构成有啥关系呢?


Hello ,亲爱的同学。奖金和这道题是有关系的哈,因为奖金涉及到投资额。


我们看下这道题的意思:

这道题是用期货来投资,相当于不想错过当前一波好的行情且现在没有钱。这里不是组合调整风险敞口所以不需要调贝塔。此外,这道题属于比较偏的了,涉及期货的部分大概率只会在衍生品考察,不会在权益里出的。


W同学预期目前美股会大涨,但是1个月后他才会收到5.75M的奖金,但他又不想错过这一波涨势,因此就选择买一个月的股指期货。根据表格2,投入美国股票的资金占比为15%,说明他的奖金中15%*5.75M可以用来买股票,那么现在反求我们能买多少只期货。


这里需要解释一下multiplier: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。


这道题就是让我们计算一个月的奖金能够买几只股指期货,因此:15%*5.75=N*50*2464.29, N=7


也就是说,奖金涉及到投资额的计算,W同学想在1个月后,买入15%*5.75M。但是这钱是一个月后才能收到的,W同学现在没有钱又不想错过这1个月的上涨,怎么办呢,于是W同学现在就要买7张股指期货。

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努力的时光都是限量版,加油!

Yiyun · 2023年03月22日

multiplier解释的很棒~!

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