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Ruthlessbaby · 2019年12月25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.

这道题啥意思,没有看到久期什么的呀?multiple是指什么?

2 个答案

张大黑喵 (๑≥╹ڡ╹≤)╭ · 2020年01月30日

250的future点数是什么意思啊 为什么要用emini50呢

maggie_品职助教 · 2019年12月26日

这道题其实涉及很多衍生的知识,我简单解释一下: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

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