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mario · 2020年10月02日

问一道题: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.

这个题我明白是LONG FUTURES, 但是我可能会和衍生品里调Beta搞混了。这里是因为没有提到BETA 所以不会用到,但是都是INDEX FUTRUES.

怎么区别啊?

1 个答案

maggie_品职助教 · 2020年10月07日

嗨,努力学习的PZer你好:


同学,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


-------------------------------
努力的时光都是限量版,加油!


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