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AnnaZ · 2024年02月19日

乘数

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.

麻烦老师给讲一下市值、价格和乘数这些变量之间的公式、关系和理解,比如价格*乘数怎么对标期货价格等等

1 个答案

笛子_品职助教 · 2024年02月19日

嗨,从没放弃的小努力你好:


可以的。

期货价格是指多少指数点

乘数是指每个指数点,对应多少美元。

1张期货的市值=期货价格*乘数。

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