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Ruthlessbaby · 2020年02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.

S&P 500 futures contract with a current price of 2,464.29  这个2464.29是怎么计算得到的?然后乘以点位代表合约价值,合约价值计算逻辑应该是?

1 个答案

maggie_品职助教 · 2020年02月26日

嗨,从没放弃的小努力你好:


1、2464.29是题干给你的。不需要计算。这道题2,464.29就是指数的点位。

2、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(S&P E_mini 乘数是50),当指数是2464.29点时,就代表这个S&P E_mini的价格是50*2464.29。


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努力的时光都是限量版,加油!


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